Chiral polytopes with up to 4000 flags (ordered by the number of flags for each rank)
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Below is a complete list of all abstract chiral polytopes (with maximum 
symmetry) up to 4000 flags, up to isomorphism, reflection and duality.

Note that the automorphism group of each such polytope has two orbits 
on flags, with any two adjacent flags lying in different orbits. 
Hence the number of flags is twice the order of the automorphism group.

The list is ordered first by rank, and then within each rank (from 3 to 5) by 
the number of flags, and then by Coxeter type (Schlaefli symbol).   

Also each entry in the list indicates whether the polytope is properly 
self-dual ('PSD'), meaning that there exists a duality of the polytope 
that preserves each of the two flag orbits, or improperly self-dual ('ISD'), 
meaning that there exists a duality of the polytope that interchanges the 
two flag orbits, or otherwise non-self-dual ('NSD').  If the polytope is 
not self-dual, then its dual does not appear elsewhere in the list.  

Finally, in each case some defining relations are given for the automorphism 
group of the polytope, in terms of the Coxeter generators.  If the rank is n, 
then the generators are A.1, A.2, ..., A.(n-1), which are automorphisms 
having the property that A.i has order p_i (for all i), where 
[p_1,p_2,...,p_{n-1}] is the Coxeter type (Schlaefli symbol) of the polytope, 
and (A.i*A.(i+1)*...*A.j)^2 = 1 whenever j > i.  

This list was created by finding and analysing all normal subgroups of index 
up to 2000 in the relevant Coxeter groups, with the help of the MAGMA system.

Note that up to isomorphism, reflection and duality there are just three  
chiral 5-polytopes with at most 4000 flags, and there are none of rank 6 or 
more. 


Rank 3
......

Chiral 3-polytope with group of order 20   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 40   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 42   NSD  Type [ 3, 6 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^6, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 52   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 54   NSD  Type [ 6, 9 ]
[ (A.1^-1 * A.2^-1)^2, A.1^6, (A.1 * A.2^-2)^2, A.2 * A.1^-3 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 56   PSD  Type [ 7, 7 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-7, A.2 * A.1^-3 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 68   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 72   ISD  Type [ 8, 8 ]
[ (A.1^-1 * A.2^-1)^2, A.1^8, A.1 * A.2^-1 * A.1^3 * A.2^-3, A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 78   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 80   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 84   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 100   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 104   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 108   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-4 ]

Chiral 3-polytope with group of order 110   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-4 ]

Chiral 3-polytope with group of order 110   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 112   NSD  Type [ 7, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-7, A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 114   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 116   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 120   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 126   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 136   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 136   NSD  Type [ 8, 8 ]
[ (A.1^-1 * A.2^-1)^2, A.1^8, A.2 * A.1^4 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 144   NSD  Type [ 4, 8 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^8, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 144   ISD  Type [ 8, 8 ]
[ (A.1^-1 * A.2^-1)^2, A.1^8, A.1 * A.2^-1 * A.1^3 * A.2^-3 ]

Chiral 3-polytope with group of order 148   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 156   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 156   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^6 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 160   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 160   NSD  Type [ 4, 8 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^8, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 160   NSD  Type [ 4, 8 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^8, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 162   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1^-2 * A.2 * A.1^2 * A.2^5 ]

Chiral 3-polytope with group of order 162   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-9, A.2 * A.1^-4 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 164   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 168   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 168   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 168   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 180   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 186   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 192   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2 ]

Chiral 3-polytope with group of order 200   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 200   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 200   PSD  Type [ 8, 8 ]
[ (A.1^-1 * A.2^-1)^2, A.1^8, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 208   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 210   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 212   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 216   NSD  Type [ 6, 9 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-9, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 216   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-6 * A.1^3 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 216   ISD  Type [ 8, 8 ]
[ (A.1^-1 * A.2^-1)^2, A.1^8, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^-2 * A.1^4 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 216   NSD  Type [ 9, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 216   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-4 ]

Chiral 3-polytope with group of order 220   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 220   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.2^-1 * A.1^5 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 222   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 224   PSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.1^-14 ]

Chiral 3-polytope with group of order 228   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 232   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 234   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 240   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 240   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2 * A.1^5 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 240   PSD  Type [ 15, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^5 * A.2^2 * A.1^-2, A.1^-1 * A.2^2 * A.1^-9 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 244   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 250   NSD  Type [ 10, 25 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-3 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 250   NSD  Type [ 10, 25 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^-2 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 252   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 252   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 256   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 256   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^-4 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 258   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 260   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 260   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 270   NSD  Type [ 6, 45 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^7 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 272   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 272   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 272   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 272   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 280   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^5 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 288   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^4 * A.1 ]

Chiral 3-polytope with group of order 288   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 292   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 294   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 294   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^3 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 296   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 300   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^-1 * A.2 * A.1^4 * A.2^-4 ]

Chiral 3-polytope with group of order 310   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 310   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 312   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 312   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 312   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 312   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 312   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^12 ]

Chiral 3-polytope with group of order 320   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^16 ]

Chiral 3-polytope with group of order 320   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 320   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 320   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 320   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1 * A.2^-2 * A.1^3 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 324   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-4 ]

Chiral 3-polytope with group of order 324   NSD  Type [ 6, 54 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^9 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 324   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^12 ]

Chiral 3-polytope with group of order 328   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 328   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-2 * A.2^-4 * A.1^4 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 330   NSD  Type [ 10, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-5 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 330   NSD  Type [ 10, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^3 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.1^12 ]

Chiral 3-polytope with group of order 336   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^-5 * A.2^-1 * A.1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 340   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 340   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 342   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 342   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-9, A.1^-1 * A.2 * A.1^-3 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 342   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1^-9, A.1^-2 * A.2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 342   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-9, A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^4 ]

Chiral 3-polytope with group of order 356   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 360   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 360   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-9 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 360   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12 ]

Chiral 3-polytope with group of order 360   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1^2 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 366   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 372   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 378   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 378   NSD  Type [ 6, 9 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-9, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 378   NSD  Type [ 6, 9 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-9, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 378   NSD  Type [ 6, 9 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-9, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 378   NSD  Type [ 6, 63 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-11 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 384   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 384   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 384   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^3 * A.1 ]

Chiral 3-polytope with group of order 384   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 384   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 384   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 388   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 390   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 400   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 400   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 400   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-1)^4, A.1^-2 * A.2^-4 * A.1^4 * A.2^2 ]

Chiral 3-polytope with group of order 400   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^2 * A.2^-4 * A.1^4 * A.2^2 ]

Chiral 3-polytope with group of order 402   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 404   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 406   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 406   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2,
A.2^3 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 406   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 408   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 410   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 410   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 416   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 416   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 416   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 420   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^3 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 420   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-6 ]

Chiral 3-polytope with group of order 424   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 3, 8 ]
[ A.1^3, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^2 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^2 * A.1 * A.2^-5 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^4 * A.1, (A.2 * A.1^-1 * A.2)^3 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 6, 72 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^12 * A.1^2 * A.2 * A.1^-2 * A.2^11 ]

Chiral 3-polytope with group of order 432   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-1 * A.1 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 9, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, (A.1 * A.2^-5)^2, A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 9, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, A.1 * A.2^-3 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-2 * A.2^3 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^6 * A.1^-3 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 432   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 436   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 438   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 440   NSD  Type [ 4, 44 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^11 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 440   NSD  Type [ 10, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.2^-2 * A.1^4 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 440   NSD  Type [ 10, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-3 * A.1^2 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 440   NSD  Type [ 10, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 440   NSD  Type [ 10, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-4 ]

Chiral 3-polytope with group of order 444   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 444   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 448   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2^3 * A.1^-2, A.1^14 ]

Chiral 3-polytope with group of order 452   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 456   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 456   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 456   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 462   NSD  Type [ 6, 33 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 464   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 468   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 468   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 468   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 474   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^12 ]

Chiral 3-polytope with group of order 480   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 480   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-15 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 3, 18 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.2^2 * A.1^-1 * A.2^2)^3, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 6, 9 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-9, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 6, 81 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-14 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, (A.2 * A.1^-1 * A.2)^3, A.2^2 * A.1 * A.2^-5 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-5 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 9, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-9, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-1 * A.2^6 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-3 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-4 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 486   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^4 * A.1^-3 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 488   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 500   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 500   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 500   NSD  Type [ 10, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2 * A.1 * A.2^-3 * A.1^3 * A.2^6 ]

Chiral 3-polytope with group of order 500   NSD  Type [ 10, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-6 ]

Chiral 3-polytope with group of order 500   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 500   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 500   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^12, (A.2^2 * A.1^-1 * A.2^2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^12 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 504   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 506   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.1^-11 ]

Chiral 3-polytope with group of order 506   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^-11 ]

Chiral 3-polytope with group of order 506   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.1^-11, A.2 * A.1^-5 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 506   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.1^-11 ]

Chiral 3-polytope with group of order 506   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2 * A.1^-5 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 512   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 512   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 512   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2,
A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 8, 64 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^-8 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 16, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.1^2 * A.2^-1 * A.1^10 * A.2^-3 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 16, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-4 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 512   NSD  Type [ 16, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 516   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 ]

Chiral 3-polytope with group of order 520   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 520   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 520   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 520   NSD  Type [ 4, 52 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^13 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 540   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 540   NSD  Type [ 6, 90 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^15 * A.1^2 * A.2 * A.1^-2 * A.2^14 ]

Chiral 3-polytope with group of order 540   NSD  Type [ 18, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^2 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 544   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 544   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 544   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 544   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-4 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 544   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 544   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1,
A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^9 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 546   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 546   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 546   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 546   NSD  Type [ 6, 39 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 548   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 550   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 550   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 558   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 560   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^28 ]

Chiral 3-polytope with group of order 560   NSD  Type [ 14, 35 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-5 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 570   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^16 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 576   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 576   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 576   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 580   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 580   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 582   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 584   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 584   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 588   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 588   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 588   PSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 588   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^-6 * A.1^2 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 588   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 588   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 592   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 594   NSD  Type [ 6, 99 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-17 * A.1^3 * A.2 * A.1^-1 * A.2^-15 ]

Chiral 3-polytope with group of order 596   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 600   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 600   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-4 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 600   NSD  Type [ 4, 60 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^15 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^12 ]

Chiral 3-polytope with group of order 600   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1 * A.2^-3, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1 * A.2^-3 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 600   NSD  Type [ 12, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1^3 * A.2^6 ]

Chiral 3-polytope with group of order 600   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^8 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 602   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 602   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 602   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 610   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 610   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 612   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 618   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 620   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 620   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^10, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^4 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 624   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2, A.1^12 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-1 * A.2 * A.1^6 * A.2^-3 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 624   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 628   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 630   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-15 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1 * A.2^-6 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^32 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^3 * A.1^3 * A.2^3 * A.1^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^3 * A.1^3 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^3 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 640   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 640   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 648   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-3 * A.2^-3 * A.1^3 * A.2^3 * A.1^3 * A.2^-2 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2,
A.2^2 * A.1 * A.2^-4 * A.1^-2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 6, 108 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^18 * A.1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-1 * A.1 * A.2^11 ]

Chiral 3-polytope with group of order 648   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 9, 36 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^2, A.1^12 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 12, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.1 * A.2^-4 * A.1^-5 * A.2 * A.1^-1 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 12, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^9 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1 * A.2^-1 * A.1^-8 * A.2^-1 * A.1 * A.2^-2 * A.1^2, A.2^-2 * A.1^5 * A.2^-1 * A.1^3 * A.2^-1 * A.1^3 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 648   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^4 * A.1 * A.2^-1 * A.1^-2 * A.2^-5 * A.1 * A.2^2, (A.1^4 * A.2^-2 * A.1^3)^2 ]

Chiral 3-polytope with group of order 654   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 656   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 656   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-4 * A.1^-2 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 660   NSD  Type [ 10, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 660   NSD  Type [ 10, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 660   NSD  Type [ 10, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-1, (A.1 * A.2^-3 * A.1)^2 ]

Chiral 3-polytope with group of order 660   NSD  Type [ 10, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 666   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 666   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 ]

Chiral 3-polytope with group of order 666   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 666   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^2 * A.2^3 * A.1^-1, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-6 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-3 * A.2^-1 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^7 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 672   NSD  Type [ 14, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^14 ]

Chiral 3-polytope with group of order 672   PSD  Type [ 21, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2^2 * A.1^-3, A.1^2 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^8 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 676   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 680   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 680   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 680   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 680   NSD  Type [ 4, 68 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^17 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 684   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 684   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 684   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-7 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 684   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.2 * A.1^-3 * A.2^2 * A.1^-6 * A.2 * A.1^-1 * A.2^4 ]

Chiral 3-polytope with group of order 684   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-2 * A.1 * A.2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-8 * A.2^2 * A.1^-3 ]

Chiral 3-polytope with group of order 686   NSD  Type [ 14, 49 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^3 * A.1^-3 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 686   NSD  Type [ 14, 49 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-3 * A.1^-2 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 686   NSD  Type [ 14, 49 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^2 * A.2^-2 * A.1^-2 * A.2^-5 ]

Chiral 3-polytope with group of order 692   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 696   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 6, 117 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-20 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-12 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-13 ]

Chiral 3-polytope with group of order 702   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-13 ]

Chiral 3-polytope with group of order 710   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 710   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 712   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 712   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^3 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 714   NSD  Type [ 6, 51 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-2, A.2^-7 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 720   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^36 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-3 * A.1 * A.2^-1, A.2^6 * A.1 * A.2^-4 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 720   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 720   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 720   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^5 * A.1^3 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 720   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 720   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 724   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 728   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.1 * A.2^-6 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 732   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 732   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1 * A.2^-1 * A.1^6 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 740   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 740   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 744   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 744   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 744   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 750   NSD  Type [ 10, 75 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 750   NSD  Type [ 10, 75 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-6 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-7 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^18 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-4 * A.1^2 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^18 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 6, 126 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^21 * A.1^2 * A.2 * A.1^-2 * A.2^20 ]

Chiral 3-polytope with group of order 756   NSD  Type [ 18, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^-6 * A.1^2 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 760   NSD  Type [ 4, 76 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^19 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^12 ]

Chiral 3-polytope with group of order 762   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^-3 * A.1^-2 * A.2^-3 * A.1^2 * A.2^3 * A.1^2 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^12 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-5)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 768   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1^-3 * A.2^-3 * A.1^-2 * A.2^3 * A.1^3 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 768   PSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1 * A.2^-1, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.1)^4, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.1 * A.2^-3 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-4 * A.1^2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 8, 96 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^12 * A.1^3 * A.2^-2 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 768   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, A.1^2 * A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 768   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-3 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 768   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 768   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.1^12 ]

Chiral 3-polytope with group of order 768   NSD  Type [ 24, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2^-3 * A.1^-1 * A.2^11 * A.1^-1 * A.2^-2, A.1 * A.2^-1 * A.1^-9 * A.2^6 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 770   NSD  Type [ 10, 35 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^3 * A.1^-2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 770   NSD  Type [ 10, 35 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-2 * A.1^-5 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 772   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 774   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 776   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 776   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 780   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 780   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 780   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^6 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 780   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 784   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 784   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^7 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 784   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^2 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 788   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 798   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 798   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 798   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 798   NSD  Type [ 6, 57 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-10 * A.1^2 * A.2^-1 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 800   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^9 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^40 ]

Chiral 3-polytope with group of order 800   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 800   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 800   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 804   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 808   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 810   NSD  Type [ 6, 135 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-23 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-17 ]

Chiral 3-polytope with group of order 810   NSD  Type [ 18, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, (A.1^-4 * A.2^2 * A.1^-3)^2, A.2^-3 * A.1^-1 * A.2^4 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-2, A.1^14 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.1^14, (A.1 * A.2^-1 * A.1^5)^2 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^7 * A.2^-1 * A.1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.1^8 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 812   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.1^8 * A.2^-1 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 816   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 816   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 816   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 816   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 820   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 820   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 820   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-1 * A.1^3)^2, (A.1 * A.2^-3 * A.1)^2,
(A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 820   NSD  Type [ 10, 10 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-1 * A.1^3)^2, (A.1 * A.2^-3 * A.1)^2,
(A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 820   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 820   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^4 * A.2^-1 * A.1^3 ]

Chiral 3-polytope with group of order 832   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 832   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 832   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 832   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 832   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 832   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 832   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 832   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 834   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 4, 84 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^21 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^10 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^4 * A.1^-2 * A.2^4 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^10 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1,
A.1^12 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 12, 28 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 840   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 848   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 858   NSD  Type [ 6, 33 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-7 * A.1 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^24 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 6, 144 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^24 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^18 ]

Chiral 3-polytope with group of order 864   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-1 * A.1 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.1)^4, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-2 * A.2^-6 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 9, 24 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.2^-6 * A.1^-1 * A.2^2 * A.1^-3 * A.2^5 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.1^-1 * A.2^6 * A.1^-4 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-4 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^12 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-4 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^3 * A.1^5 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.2^3 * A.1^5 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 18, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-8 * A.1^-2 * A.2^-4 * A.1 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 864   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1^5 * A.2^-4 * A.1, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 864   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^7 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^2 * A.1 * A.2^-4 * A.1^-2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 872   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 876   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 ]

Chiral 3-polytope with group of order 876   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 4, 44 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^44 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 10, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 10, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2^-6 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 10, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 10, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^9 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 880   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2 * A.1^6 * A.2^3 * A.1^-2, A.2^-1 * A.1 * A.2^-2 * A.1^8 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 882   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 882   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-21 ]

Chiral 3-polytope with group of order 882   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1^-2 * A.2)^3, A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 884   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 ]

Chiral 3-polytope with group of order 884   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 888   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 888   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 888   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 888   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 888   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-3 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 896   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 896   PSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1^14, A.2^-1 * A.1^7 * A.2^-1 * A.1^3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 896   NSD  Type [ 14, 56 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^5, A.1^14 ]

Chiral 3-polytope with group of order 896   PSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2^3 * A.1^-2, A.1^4 * A.2^-1 * A.1^10 * A.2^-1 * A.1^10 * A.2^-2 ]

Chiral 3-polytope with group of order 900   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 904   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 904   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 906   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 912   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 912   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 912   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 912   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 912   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 916   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 918   NSD  Type [ 6, 153 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-26 * A.1^3 * A.2 * A.1^-1 * A.2^-24 ]

Chiral 3-polytope with group of order 920   NSD  Type [ 4, 92 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^23 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^20 ]

Chiral 3-polytope with group of order 924   NSD  Type [ 6, 66 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^11 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 924   NSD  Type [ 6, 66 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^11 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 928   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 928   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 928   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 10, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^2 * A.2^-1 * A.1^-3 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 10, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.1^-15 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-15 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2 * A.1^7 * A.2 * A.1^-3 * A.2^2, A.1^-15 ]

Chiral 3-polytope with group of order 930   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^7 * A.2 * A.1^-2 * A.2^2 * A.1^-1, A.1^-15 ]

Chiral 3-polytope with group of order 932   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^12, (A.2^2 * A.1^-1 * A.2^2)^3, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 936   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-6 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-6 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^12, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^12, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 936   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 936   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.1^12 ]

Chiral 3-polytope with group of order 942   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 948   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 ]

Chiral 3-polytope with group of order 952   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, A.2^12, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-6 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^48 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-10 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 960   ISD  Type [ 5, 5 ]
[ A.1^5, A.2^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 5, 6 ]
[ A.1^5, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^-1 * A.1^-2 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1, A.2 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^-5 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^5 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2^5 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 960   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 960   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 960   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1^12, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 960   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 960   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 960   PSD  Type [ 15, 15 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2 * A.1^-2 * A.2^3, A.1^-15 ]

Chiral 3-polytope with group of order 960   PSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1 * A.2^-1 * A.1^2 * A.2^-10 * A.1 * A.2^-2 * A.1^9 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 964   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 966   NSD  Type [ 6, 69 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-12 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 968   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2^-4 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2^12, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1^-1 * A.2, (A.1 * A.2^-1)^6, A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 54 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2,
A.2^7 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 6, 162 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^27 * A.1^2 * A.2 * A.1^-2 * A.2^26 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.1^12, A.2^2 * A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 972   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^6 * A.2^-1 * A.1^2 * A.2 * A.1^-1, (A.1 * A.2^-2 * A.1^3)^2 ]

Chiral 3-polytope with group of order 972   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^2 * A.1^5 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 972   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^6 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 972   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-5 * A.2^2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^18 ]

Chiral 3-polytope with group of order 972   PSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 972   ISD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-3 * A.1^4 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2 * A.1^-3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-5 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1^-5 * A.2 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^2 * A.2^-6 * A.1^7 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-18 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-9 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 972   NSD  Type [ 18, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-9 * A.2^2 * A.1^-2, A.2^-2 * A.1^-1 * A.2^7 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 976   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 978   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 980   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 984   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 990   NSD  Type [ 10, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^3 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 990   NSD  Type [ 10, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-3 * A.1^5 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^3 * A.1^-4 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 990   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^7 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2, A.1^-15 ]

Chiral 3-polytope with group of order 990   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2^3, A.1^-15 ]

Chiral 3-polytope with group of order 992   PSD  Type [ 31, 31 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-2, A.1^4 * A.2^-14 * A.1^9 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 992   PSD  Type [ 31, 31 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2^4 * A.1^-1, A.1^3 * A.2^-1 * A.1 * A.2^-12 * A.1 * A.2^-1 * A.1^8 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 992   PSD  Type [ 31, 31 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^6 * A.2^3 * A.1^-1 * A.2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^10 * A.2^-1 * A.1^2 * A.2^-1 * A.1^7 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 994   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 994   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 994   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1000   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1000   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, A.2^-1 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 4, 100 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^25 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^18 ]

Chiral 3-polytope with group of order 1000   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^4 * A.1, A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 10, 100 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^10 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 10, 100 ]
[ (A.1^-1 * A.2^-1)^2, A.1^10, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^10 * A.1^2 * A.2^3 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 1000   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^-1 * A.2^4 * A.1^-6 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^4, A.1^2 * A.2^-1 * A.1^7 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1000   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.1 * A.2^-3 * A.1^9 * A.2^-2 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, (A.1^6 * A.2^-2 * A.1^2)^2 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.1 * A.2^-2 * A.1^11 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 20, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1^3 * A.2^-6 ]

Chiral 3-polytope with group of order 1000   NSD  Type [ 20, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-6 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 3, 24 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-2, A.2 * A.1 * A.2^-5 * A.1^-1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 4, 56 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^14 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-1 * A.2^4 * A.1^-1 * A.2^2, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^24 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^24 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 8, 28 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1 * A.2^-6 * A.1^-3 * A.2^2 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 8, 56 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^3 * A.2^-1, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.2^12 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 14, 63 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1,
A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^-1 * A.2^4 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1008   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.2^4 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.2^-2 * A.1 * A.2^-4 * A.1^7 * A.2^-1 * A.1^5 * A.2^-1 ]

Chiral 3-polytope with group of order 1010   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1010   NSD  Type [ 5, 10 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-4 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1012   NSD  Type [ 22, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^2 * A.1^-2 * A.2, A.1^-2 * A.2^6 * A.1^-1 * A.2 * A.1^-6 * A.2^2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1012   NSD  Type [ 22, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.2^-4 * A.1^6 * A.2^-1 * A.1^7 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1012   NSD  Type [ 22, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.1^4 * A.2^-1 * A.1 * A.2^-3 * A.1^5 * A.2^-3 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1012   NSD  Type [ 22, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.1^-1 * A.2^2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.1^-1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-4 * A.2 * A.1^-1 * A.2 * A.1^-3 ]

Chiral 3-polytope with group of order 1012   NSD  Type [ 22, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1,
A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-3 * A.2, A.1^2 * A.2^-1 * A.1^2 * A.2^-5 * A.1^9 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1014   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1014   NSD  Type [ 6, 39 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1024   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1024   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.1^-1 * A.2^-4 * A.1^4 * A.2^4 * A.1^-3 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.1)^4, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2 * A.1^-2 * A.2^-2, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2,
A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2, A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 8, 128 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^16 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^11 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2 * A.1^5 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^16 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^16 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-1 * A.2^-2 * A.1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1 * A.2^-1 * A.1^6 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^5 * A.2^-1 * A.1^2 * A.2^-2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2, A.1^-1 * A.2 * A.1^6 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.1^16 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 64 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^16, A.2^-4 * A.1^-1 * A.2^4 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 64 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 64 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1, A.2^-2 * A.1^9 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 16, 64 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^16, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-1 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 32, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.1^10 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1024   NSD  Type [ 32, 32 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.1^11 * A.2^-1 * A.1^3 * A.2^-1 * A.1^10 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 6, 171 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-29 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-23 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1026   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1028   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1032   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1032   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 ]

Chiral 3-polytope with group of order 1032   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1040   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1040   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1040   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^20 ]

Chiral 3-polytope with group of order 1040   NSD  Type [ 4, 52 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^52 ]

Chiral 3-polytope with group of order 1044   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1050   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1050   NSD  Type [ 6, 75 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-13 * A.1^2 * A.2^-1 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1050   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^-15, A.2 * A.1^-7 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1060   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1060   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1076   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 4, 108 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^27 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^20 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 6, 45 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^6 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^4 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 6, 180 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^30 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^24 ]

Chiral 3-polytope with group of order 1080   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1^2 * A.2^-1, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1080   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1^2 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^-5 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1 * A.2^5 * A.1^-3 * A.2^-2 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^9 * A.1^2 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 45 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2^7 * A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 12, 90 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^15 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-4 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 18, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^10 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 1080   NSD  Type [ 30, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^-1 * A.1^3, A.2^-5 * A.1^-1 * A.2 * A.1^-2 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1086   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1088   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1088   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-4 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^-3 * A.1 * A.2^-3 * A.1^4 * A.2^4 * A.1 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^2 * A.1^-1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 1088   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^5, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.1^16 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1 * A.2^-4 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2, A.1^2 * A.2^-4 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 78 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^13 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^11 ]

Chiral 3-polytope with group of order 1092   NSD  Type [ 6, 78 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^13 * A.1^3 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1096   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1096   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1098   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1100   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1100   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1100   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1100   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1108   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1110   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1116   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1116   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^28 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 4, 56 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^56 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 4, 56 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^14 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 8, 28 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^28 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 8, 28 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^28 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 14, 70 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14, (A.1 * A.2^-5 * A.1)^2 ]

Chiral 3-polytope with group of order 1120   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1,
A.1 * A.2^-1 * A.1^6 * A.2^-3 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1124   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 3, 18 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-5 * A.1 * A.2^6, (A.2^2 * A.1^-1 * A.2^2)^3, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-27 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-5 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 6, 189 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-32 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-26 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1134   NSD  Type [ 18, 63 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^18, A.2^-11 * A.1^-2 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1140   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^4 ]

Chiral 3-polytope with group of order 1140   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1144   NSD  Type [ 4, 44 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^-5 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-9 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^-4 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-2)^4, A.2^16 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 18 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^18 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^32 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-2)^4, A.2^-3 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^-1 * A.2^5 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-2)^4, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1152   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^2 * A.1 * A.2^-5 * A.1^-1 * A.2^3 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1152   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1152   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^2 * A.1^2 * A.2^-4 * A.1^-2 * A.2^-2 * A.1 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-3 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1 * A.2^-1, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^3 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-4 * A.1, A.2^16 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.2^16 ]

Chiral 3-polytope with group of order 1152   NSD  Type [ 8, 18 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^18 ]

Chiral 3-polytope with group of order 1156   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1158   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1160   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1160   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1160   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1160   NSD  Type [ 4, 116 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^29 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^26 ]

Chiral 3-polytope with group of order 1164   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1164   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.2^3 * A.1^-3 * A.2 * A.1^-4 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1168   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1168   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-3 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1170   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 1172   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-4 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1)^6, A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 84 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^14 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 * A.2^9 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 6, 84 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^14 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^9 ]

Chiral 3-polytope with group of order 1176   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 12, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-8 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 12, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.2^8 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1176   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-2 * A.1, (A.1^3 * A.2^-1)^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 1184   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1184   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1184   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1188   NSD  Type [ 6, 198 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^33 * A.1^3 * A.2^-1 * A.1 * A.2^32 ]

Chiral 3-polytope with group of order 1188   NSD  Type [ 18, 66 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^11 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^2 * A.2^5 ]

Chiral 3-polytope with group of order 1192   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1194   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.2^-1 * A.1 * A.2^-6 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-3, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 4, 60 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^60 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1^2 * A.2^-1)^3, (A.1 * A.2^-2)^4, A.2^12, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2^3 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-2 * A.1^4 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1200   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-5, (A.1 * A.2^-2 * A.1^3)^2 ]

Chiral 3-polytope with group of order 1200   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1200   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1200   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1^12, A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 12, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 12, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 1200   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1200   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-8 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1204   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^14 ]

Chiral 3-polytope with group of order 1204   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^14 ]

Chiral 3-polytope with group of order 1204   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.1^14, A.2^-1 * A.1^7 * A.2^-1 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 1206   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-2 * A.1^-2 * A.2^-5 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1 * A.2^-5 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 10, 55 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2^-7 ]

Chiral 3-polytope with group of order 1210   NSD  Type [ 10, 55 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^7 ]

Chiral 3-polytope with group of order 1218   NSD  Type [ 6, 87 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-15 * A.1^3 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 1218   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1218   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-4 * A.2^-1 * A.1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1218   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1220   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1220   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1220   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^3)^2, (A.1 * A.2^-3 * A.1)^2, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1220   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-5 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1220   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1220   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, (A.2^-1 * A.1)^5 ]

Chiral 3-polytope with group of order 1224   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1224   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^6 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1224   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2^4 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1224   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^2 * A.2^-4 * A.1^4 * A.2 * A.1^-3 * A.2^2 ]

Chiral 3-polytope with group of order 1224   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1224   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1230   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1230   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-3 * A.1^5 * A.2 * A.1^-4 * A.2^-1 ]

Chiral 3-polytope with group of order 1232   NSD  Type [ 14, 77 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1,
A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^14, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-7 ]

Chiral 3-polytope with group of order 1236   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1240   NSD  Type [ 4, 124 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^31 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^24 ]

Chiral 3-polytope with group of order 1240   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^4 * A.2 ]

Chiral 3-polytope with group of order 1240   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1240   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1, A.2 * A.1 * A.2^-2 * A.1^4 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1240   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1242   NSD  Type [ 6, 207 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-35 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-1 * A.2^-27 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^24 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^2 * A.2^3 * A.1^-1, A.1^-1 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-1 * A.2^6 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1248   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^12, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^3 * A.1^5 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^12, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-4 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^-1 * A.2^3 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-4 * A.1)^2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-3 * A.1^2 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1248   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2^-4 * A.1^3 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1250   NSD  Type [ 10, 125 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-13 * A.1^-2 * A.2^-6 * A.1^2 * A.2^-6 ]

Chiral 3-polytope with group of order 1250   NSD  Type [ 10, 125 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-13 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-10 ]

Chiral 3-polytope with group of order 1250   NSD  Type [ 25, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1, A.2 * A.1^7 * A.2 * A.1^-2 * A.2^2 * A.1^-1, A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^8 * A.2^-3 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1250   NSD  Type [ 25, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1, A.2 * A.1^7 * A.2^3 * A.1^-3, A.1^3 * A.2^-2 * A.1^2 * A.2^-3 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1^5 ]

Chiral 3-polytope with group of order 1252   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 ]

Chiral 3-polytope with group of order 1254   NSD  Type [ 6, 33 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1256   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1260   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^30 ]

Chiral 3-polytope with group of order 1260   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1260   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2^4 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-4 ]

Chiral 3-polytope with group of order 1260   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^30 ]

Chiral 3-polytope with group of order 1266   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1268   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1272   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-1, A.1^-1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^-1)^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-5 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^32 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 64 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^16 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 64 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^64 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 4, 80 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^-10 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^4 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-3 * A.2 * A.1^3 * A.2^4 * A.1^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.2^2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-3 * A.2 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^4 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^16 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^16 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2^6, A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2^6, A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-6 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^32 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^2 * A.2^-6 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 32 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^32 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 8, 160 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^20 * A.1^3 * A.2^-2 * A.1 * A.2^18 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2, A.2^16 ]

Chiral 3-polytope with group of order 1280   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^16, A.2^16 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2, A.1^16, (A.1 * A.2^-1 * A.1^6)^2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1^16 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 16, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2, A.2^20 ]

Chiral 3-polytope with group of order 1280   NSD  Type [ 32, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.1^-12 * A.2^-1 * A.1^3 * A.2^-1 * A.1^-1, A.2^10 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1290   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 3, 8 ]
[ A.1^3, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 3, 24 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2^7 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^6 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^4 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-1)^6, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 4, 72 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-3 * A.1 * A.2^-1, A.2^18 * A.1^2 * A.2^2 * A.1^-1 * A.2^-4 * A.1 * A.2^12 ]

Chiral 3-polytope with group of order 1296   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^4 * A.1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, (A.2^-1 * A.1^2 * A.2^-1)^3, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-2, A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 54 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2, A.2^4 * A.1 * A.2^-4 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 72 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2,
A.2^12 * A.1^2 * A.2^4 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 6, 216 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^36 * A.1^2 * A.2 * A.1^-2 * A.2^35 ]

Chiral 3-polytope with group of order 1296   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-1 * A.2^-4 * A.1^4 * A.2 * A.1^-3 * A.2^2 ]

Chiral 3-polytope with group of order 1296   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 9 ]
[ A.1^8, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 9 ]
[ A.1^8, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 9 ]
[ A.1^8, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-3 * A.2^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-1)^6, A.2^12, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^3 * A.2^2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 18 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2^-1, A.2^-3 * A.1^-3 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 18 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1^-2 * A.2)^3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 18 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^3, A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2^-1, A.1^-1 * A.2^3 * A.1^-3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2,
A.1 * A.2^-4 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 36 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-8 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 36 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 36 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 8, 72 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^9 * A.1^-3 * A.2^-6 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 9, 36 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 9, 72 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-5 * A.1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2^2 * A.1^-1 * A.2 * A.1^3 * A.2^3 * A.1^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^3 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.1^3 * A.2^-5 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-1)^6, (A.1 * A.2^-2)^4, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-4 * A.1, A.2^-2 * A.1^-1 * A.2^5 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-2 * A.2^6 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 54 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2^8 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-3 * A.2^-4 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 12, 108 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^18 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-4 * A.1 * A.2^13 ]

Chiral 3-polytope with group of order 1296   PSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^6 * A.2^-1 * A.1^4 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2, A.1^-1 * A.2 * A.1^-12 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^24 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^4, A.1^-1 * A.2^2 * A.1^-4 * A.2 * A.1^-6 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 18, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.1 * A.2^-1 * A.1^-4 * A.2^2 * A.1^-2 * A.2^-1 * A.1^5, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^-9 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 18, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2 * A.1^-12 * A.2 * A.1^-1 * A.2^2, A.2^12 * A.1^-2 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.1^-3 * A.2 * A.1^-3 * A.2^2 * A.1^-1 * A.2 * A.1^-6 * A.2 * A.1^-5 * A.2 ]

Chiral 3-polytope with group of order 1296   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1^5 * A.2^-5 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 24, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-3, A.2^-5 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-3 * A.2^-2 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 24, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^7 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^9 * A.1^2 * A.2^4 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 1296   NSD  Type [ 36, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^8 * A.2 * A.1^-4 * A.2^2, A.2^2 * A.1^-2 * A.2 * A.1^-3 * A.2^2 * A.1^-3 * A.2 * A.1^-7 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1300   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1300   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1300   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1302   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1302   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1302   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1302   NSD  Type [ 6, 93 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-16 * A.1^2 * A.2^-6 * A.1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1308   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1308   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-3 * A.2^5 ]

Chiral 3-polytope with group of order 1310   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^2 * A.2^5 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1310   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1312   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1312   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1312   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1312   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1314   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1314   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1314   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1314   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1^-4 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 4, 132 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^33 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^26 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 10, 60 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^2 * A.1 * A.2^-3 * A.1^5 * A.2^7 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 10, 60 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1, A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 10, 60 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1 * A.2^-4 * A.1^3 * A.2^7 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 10, 60 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^6 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 12, 44 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^11 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 15, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-2 * A.1 * A.2^-2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 15, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1^-4 * A.2^2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^-15 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^2 * A.1^-2 * A.2 * A.1^3 * A.2^-3 * A.1 * A.2^2, A.1^-15 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 20, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^7 * A.2^2 * A.1^-3 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2^-2 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 20, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^2 * A.1^-3 * A.2, A.1 * A.2^-1 * A.1^6 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 20, 30 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1320   NSD  Type [ 20, 30 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1326   NSD  Type [ 6, 51 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2^3 * A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-2 * A.2^4 * A.1^-2 * A.2^4 ]

Chiral 3-polytope with group of order 1332   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-1 * A.2^2, A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-7 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-5 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 18, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2 * A.1^-1, A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 36, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^8 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 36, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2^3, A.1^2 * A.2^-1 * A.1^8 * A.2^-1 * A.1^4 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1332   NSD  Type [ 36, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1,
A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1, A.1^-1 * A.2^2 * A.1^-3 * A.2 * A.1^-7 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1338   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 3, 7 ]
[ A.1^3, A.2^7, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 4, 7 ]
[ A.1^4, A.2^7, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-2 * A.1^-2 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 7 ]
[ A.1^6, A.2^7, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 7 ]
[ A.1^6, A.2^7, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-5)^2, A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^4 * A.1 * A.2^-2 * A.1 * A.2^6, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-8 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 96 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^16 * A.1^3 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 6, 96 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^16 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 7, 7 ]
[ A.1^7, A.2^7, (A.1^-1 * A.2^-1)^2, (A.1^-2 * A.2)^3, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   ISD  Type [ 7, 7 ]
[ A.1^7, A.2^7, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 7, 8 ]
[ A.1^7, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.2^-1 * A.1^-2 * A.2^-4 * A.1^3 * A.2^-1 * A.1 * A.2^3 * A.1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 7, 8 ]
[ A.1^7, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1^2 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^12, A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-2 * A.1^5 * A.2^2 * A.1^-1 * A.2^-2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^3 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 12, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2^-3 * A.1^-1 * A.2^3 * A.1^-2 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 14, 84 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-5 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1344   PSD  Type [ 21, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-7 * A.2^6 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 21, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-6 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.1^4 * A.2^-7 * A.1^6 * A.2^-5 * A.1^2 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^7 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 * A.2^-1, A.1 * A.2^-3 * A.1 * A.2^-3 * A.1^9 * A.2^-3 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1344   NSD  Type [ 28, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1,
A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-2 * A.1^6 * A.2^-4 * A.1^2 ]

Chiral 3-polytope with group of order 1348   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1350   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1350   NSD  Type [ 6, 225 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-38 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-36 ]

Chiral 3-polytope with group of order 1350   NSD  Type [ 9, 30 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.2^-9 * A.1 * A.2^-1 * A.1^-1 * A.2^8 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1350   NSD  Type [ 30, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^6 * A.1^-2 * A.2^7 ]

Chiral 3-polytope with group of order 1352   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1352   NSD  Type [ 4, 52 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-13 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1352   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-4 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1360   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1360   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1, A.2^20 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 4, 68 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^68 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-2, A.2^-2 * A.1^-1 * A.2^3 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1360   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1 * A.2^-3 * A.1^2 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^12, (A.2^2 * A.1^-1 * A.2^2)^3, A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^12, A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2 * A.1^-4 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-6 * A.2^2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-5 * A.2 * A.1^-5 * A.2 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^7 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-9 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1368   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^5, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-4 * A.2 * A.1^-1 * A.2 * A.1^-3 ]

Chiral 3-polytope with group of order 1372   NSD  Type [ 14, 98 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^14, A.1^-1 * A.2^7 * A.1^-2 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1372   NSD  Type [ 14, 98 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^14, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-5 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1372   NSD  Type [ 14, 98 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^14, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1374   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-3, A.1^-13, A.2^2 * A.1^-5 * A.2^2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-13, A.2 * A.1^-6 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-2 * A.1 * A.2, A.1^-13 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1, A.1^-13 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.1^-13 ]

Chiral 3-polytope with group of order 1378   NSD  Type [ 13, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-13, A.2 * A.1^-6 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 1384   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1386   NSD  Type [ 6, 33 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-33 ]

Chiral 3-polytope with group of order 1392   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1392   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1396   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1400   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^6 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1400   NSD  Type [ 4, 140 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^35 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^28 ]

Chiral 3-polytope with group of order 1400   NSD  Type [ 20, 28 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-1 * A.2^5 * A.1 * A.2^-2 * A.1^6 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1^2 * A.2^2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1, A.2^18 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^18 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 6, 234 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^39 * A.1^2 * A.2 * A.1^-2 * A.2^38 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1 * A.2^-3 * A.1^5 * A.2^-1 * A.1^4 * A.2^2 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 18, 78 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^13 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 26, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1 * A.2^-4 * A.1^5 * A.2^-1 * A.1 * A.2^-2 * A.1^7 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1404   NSD  Type [ 26, 26 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-8 * A.2^4 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1412   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1420   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1420   NSD  Type [ 10, 10 ]
[ A.1^10, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1422   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1424   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1424   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^4 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1428   NSD  Type [ 6, 102 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^17 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^12 ]

Chiral 3-polytope with group of order 1428   NSD  Type [ 6, 102 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^17 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^15 ]

Chiral 3-polytope with group of order 1430   NSD  Type [ 10, 65 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1,
A.2^-2 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1^-2 * A.2^-7 ]

Chiral 3-polytope with group of order 1430   NSD  Type [ 10, 65 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^5 * A.1^-4 * A.2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1440   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1^2 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^-4 * A.1 * A.2^-1 * A.1^-2 * A.2^4 * A.1^2 * A.2, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2^-9 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^36 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-3 * A.1 * A.2^-1, A.2^40 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 72 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^72 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 4, 72 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^18 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^12 ]

Chiral 3-polytope with group of order 1440   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^-2 * A.2^-1 * A.1 * A.2^3, (A.1 * A.2^-1 * A.1)^4, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2, A.2^-15 ]

Chiral 3-polytope with group of order 1440   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1440   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2, A.2^12, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2, A.2^12, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 36 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^36 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 36 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^36 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^10 * A.1^2 * A.2^5 * A.1^-1 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^12, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^12, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1440   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^24 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1^-1 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 1440   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, A.1^-15 ]

Chiral 3-polytope with group of order 1446   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1448   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1456   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^28 ]

Chiral 3-polytope with group of order 1456   NSD  Type [ 14, 91 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1,
A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^14, A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, (A.1 * A.2^-1)^6, A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, (A.1 * A.2^-1)^6, A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1)^6, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 27 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 6, 243 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-41 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-39 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2 * A.1 * A.2^-4 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.1^-1 * A.2^2 * A.1^-4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^-4 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1^4 * A.2 * A.1^-2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.2^2 * A.1 * A.2^-4 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2^3 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-5 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.2^-1 * A.1^-1 * A.2 * A.1^-4 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-4 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-5 * A.1 * A.2^6, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-5 * A.1^-2 * A.2^7, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-5 * A.1^-2 * A.2^7, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^6 * A.1^-2 * A.2^-5 * A.1 * A.2, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1^3 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-2, A.1^2 * A.2^-3 * A.1^-2 * A.2^-6 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1^3 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-2, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.1^2 * A.2^-3 * A.1^-2 * A.2^-6 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1, A.2^-5 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^18, A.2^-4 * A.1^-1 * A.2 * A.1^7 * A.2^-1 * A.1 * A.2 * A.1^-3 * A.2^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^7, A.1^-3 * A.2 * A.1^5 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^5, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-4 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 81 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-6 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 81 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^4 * A.1^-3 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 81 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-5 * A.1^-2 * A.2^-4 * A.1^2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 18, 81 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-4 * A.1^7 * A.2^-2 * A.1^2 * A.2^-2, A.2^-14 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-11 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 27, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1 * A.2^-1 * A.1^-11 * A.2^-1 * A.1 * A.2^-2 * A.1^5, A.1^-2 * A.2^3 * A.1^-3 * A.2 * A.1^-11 * A.2 * A.1^-3 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 27, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^9 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 27, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.1^-2 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-5 * A.2 * A.1^-2 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1458   NSD  Type [ 27, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-6 * A.2 * A.1^-7 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1460   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1460   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1464   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1464   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1464   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 1464   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1464   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1470   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1470   NSD  Type [ 6, 105 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-18 * A.1^3 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-1 * A.2^-11 ]

Chiral 3-polytope with group of order 1474   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2^4 * A.1^-2 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1474   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2^3 * A.1^-3 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1474   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.1^-11 ]

Chiral 3-polytope with group of order 1474   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.1^-1 * A.2 * A.1^-4 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1474   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1476   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1480   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1480   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1480   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1480   NSD  Type [ 4, 148 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^37 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^34 ]

Chiral 3-polytope with group of order 1482   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1482   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1482   NSD  Type [ 6, 39 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^6 ]

Chiral 3-polytope with group of order 1482   NSD  Type [ 6, 57 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^4 * A.1 * A.2^-4 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-5 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1488   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1488   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1488   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1488   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1488   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1492   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1496   NSD  Type [ 4, 44 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^6 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1500   NSD  Type [ 10, 150 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^15 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1^-1 * A.2^9 ]

Chiral 3-polytope with group of order 1500   NSD  Type [ 10, 150 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^15 * A.1 * A.2^-3 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^9 ]

Chiral 3-polytope with group of order 1500   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.1 * A.2^-3 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1500   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, (A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2)^2, A.2^12, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-2, A.1 * A.2^-1 * A.1^6 * A.2 * A.1^-3 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1500   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1^3 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2,
A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1500   NSD  Type [ 30, 50 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-6 ]

Chiral 3-polytope with group of order 1500   NSD  Type [ 30, 50 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-5 * A.1^2 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1508   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1508   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1510   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1510   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1^-1 * A.2 * A.1^2 * A.2^-5 * A.1^2 * A.2^2 * A.1^-1 * A.2^4 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 3, 9 ]
[ A.1^3, A.2^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^4 * A.1 * A.2^-3 * A.1 * A.2^-4 * A.1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^12, (A.2^2 * A.1^-1 * A.2^2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-1, A.2^-1 * A.1^-2 * A.2^-3 * A.1^3 * A.2^3 * A.1, A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1^-2 * A.2)^3, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-2 * A.2^-1, A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^3 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-2, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^3, A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2,
(A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1)^6, A.2^-3 * A.1^2 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^12 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^12, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^12, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^36 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^7 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^2 * A.1 * A.2^-4 * A.1^2 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^36 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^6 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 63 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1, A.2^10 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^5 * A.1^2 * A.2^4 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 6, 252 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^42 * A.1^3 * A.2^-1 * A.1 * A.2^41 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 9, 9 ]
[ A.1^9, A.2^9, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-2, A.2 * A.1^-2 * A.2 * A.1^4 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2^18 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^18 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 63 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2^-11 * A.1^5 * A.2^4 * A.1^-1 * A.2^-3 * A.1^-2 * A.2^-3 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 12, 126 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^21 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^16 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 18, 84 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^14 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^9 ]

Chiral 3-polytope with group of order 1512   NSD  Type [ 36, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.1^10 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-2 * A.2^-8 ]

Chiral 3-polytope with group of order 1518   NSD  Type [ 22, 33 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1^-3 * A.2^5, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1518   NSD  Type [ 22, 33 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-6 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1518   NSD  Type [ 22, 33 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1518   NSD  Type [ 22, 33 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1518   NSD  Type [ 22, 33 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1520   NSD  Type [ 4, 76 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^76 ]

Chiral 3-polytope with group of order 1524   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 3, 24 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^3 * A.1^2 * A.2^-4 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 6 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.2^4 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^12, A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-5)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^3, (A.1 * A.2^-5)^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-5)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-3, (A.1 * A.2^-5)^2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^4 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1^-1, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^24 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2^-2, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-5)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1,
A.2^-2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^3, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-5)^2, A.2^-2 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1 * A.2^-2 * A.1, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^-3 * A.1^-3 * A.2^-3 * A.1^3 * A.2^3 * A.1^3 * A.2^3 * A.1^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^3 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1^2 * A.2^-1)^3, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-1, A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-4 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, (A.1 * A.2^-1 * A.1)^4, A.1 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^-1 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1)^6, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-1)^6, A.2^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-2 * A.1 * A.2^2, (A.1 * A.2^-1)^6, (A.1 * A.2^-5)^2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-2 * A.1 * A.2^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-4 * A.1)^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^4 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^12, A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^-1 * A.2^4 * A.1^2 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^4 * A.1^-1 * A.2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-2, (A.2^-1 * A.1^2 * A.2^-1)^3 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-4, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.1)^4, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^3 * A.1^2 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1 * A.2 * A.1^-2 * A.2, A.2 * A.1^-2 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 16 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-3 * A.1^2 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-5, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^-2 * A.1^-1 * A.2^7 * A.1^2 * A.2^4 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2^5 * A.1^3 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-5)^2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, (A.1 * A.2^-2)^4, A.2^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2^2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2, A.2^12 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-2)^4, A.2^12, A.2^5 * A.1^3 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-5)^2, A.2^12, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-5)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2, A.2^12, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^2 * A.1^3 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^2 * A.1^3 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1^2 * A.2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1^2 * A.2^-1)^3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^12, A.2 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-2 * A.1 * A.2^2, A.2^2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1^3 * A.2^-1 * A.1^3 * A.2^5, (A.1 * A.2^-2)^4, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^2 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1, (A.1 * A.2^-2)^4, A.2^12, A.1 * A.2^-4 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1,
(A.1 * A.2^-2)^4, A.2^12, A.1 * A.2^-4 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-5)^2, A.2^12, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2, A.1 * A.2^-6 * A.1^2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1 * A.2^-6 * A.1^2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1^-1 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, (A.1 * A.2^-2)^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^4 * A.1^-1 * A.2, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^3 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2, A.2 * A.1 * A.2^-5 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^-3 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^4 * A.1^-1, A.1 * A.2^-3 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1^-3 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1^-1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 8, 192 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^24 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2^19 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^5 * A.2^3 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1^2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-3 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1^-1 * A.2^3 * A.1^3 * A.2^-1 * A.1^2 * A.2^2, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-4 * A.2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, (A.2^-1 * A.1^2 * A.2^-1)^3, A.1 * A.2^-4 * A.1^2 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-3 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-1 * A.1)^4, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, A.1^2 * A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^3, A.2^2 * A.1^-1 * A.2 * A.1^3 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1536   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1^12, (A.1 * A.2^-1 * A.1)^4, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^2 * A.1^-1 * A.2^-2,
A.2^2 * A.1^-1 * A.2 * A.1^3 * A.2^4 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, A.2^12, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^-4, A.2 * A.1^-2 * A.2 * A.1^4 * A.2^2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1, (A.1^3 * A.2^-1)^3, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-5, A.2 * A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1536   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1 * A.2^-1, A.2^-4 * A.1^3 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, (A.2^-1 * A.1^2 * A.2^-1)^3, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-3 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^4 * A.1^4 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1^2 * A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1, (A.1 * A.2^-3 * A.1^2)^2, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^4 * A.1^4 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1^16, A.2^-3 * A.1^6 * A.2^3 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-6 * A.1^2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1, A.2^-3 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-6 * A.1^2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, A.1 * A.2^-1 * A.1^6 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2^4 * A.1^-1, A.2 * A.1^7 * A.2^3 * A.1^-1 * A.2^2, A.2^6 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 96 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.1^16, A.1^2 * A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1^3, A.2^-2 * A.1^-1 * A.2^3 * A.1^6 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 96 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^16, A.2^12 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 16, 96 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^16, A.2^12 * A.1^2 * A.2 * A.1^-2 * A.2^11 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 24, 64 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1 * A.2^-2 * A.1^8 * A.2^-9 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 32, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, (A.1 * A.2^-1 * A.1^6)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^6 * A.2 * A.1^-6 * A.2^-1 * A.1, A.2^-2 * A.1^-1 * A.2^3 * A.1^6 * A.2^5 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 32, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^11 * A.2^-1 * A.1^3 * A.2^-1, A.2^12 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1536   NSD  Type [ 32, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, (A.1 * A.2^-1 * A.1^6)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^6 * A.2 * A.1^-6 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2^3 * A.1^5 * A.2^-6 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1540   NSD  Type [ 10, 70 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-1, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1540   NSD  Type [ 10, 70 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-1, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1540   NSD  Type [ 10, 70 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1540   NSD  Type [ 10, 70 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-2 * A.1^-1 * A.2^3 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1544   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1544   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^2 * A.2^-4 * A.1^-3 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1548   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1548   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1550   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^5 * A.1 ]

Chiral 3-polytope with group of order 1550   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-1 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^5 * A.1 ]

Chiral 3-polytope with group of order 1552   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1552   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-5 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1552   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1552   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1^4 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1554   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1554   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1554   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1554   NSD  Type [ 6, 111 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-19 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-10 ]

Chiral 3-polytope with group of order 1556   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-2 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 4, 60 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^15 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 4, 156 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^39 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^36 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^2 * A.2^2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^7 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^9 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1, A.2^10 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-5, A.1^-3 * A.2 * A.1^4 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.1^12, (A.1 * A.2^-2 * A.1^3)^2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 52 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^13 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2 * A.1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1560   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1566   NSD  Type [ 6, 261 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-44 * A.1^3 * A.2 * A.1^-1 * A.2^-42 ]

Chiral 3-polytope with group of order 1568   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^4 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1568   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^4 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1568   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14, A.2^14 ]

Chiral 3-polytope with group of order 1568   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^16 ]

Chiral 3-polytope with group of order 1568   ISD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.1^16, A.1 * A.2^-1 * A.1^7 * A.2^-2 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1576   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1582   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1582   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-2 * A.1^-1 * A.2 * A.1^-3 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1582   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 1584   NSD  Type [ 4, 88 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^22 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^17 ]

Chiral 3-polytope with group of order 1584   NSD  Type [ 8, 44 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1, A.2^11 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1584   NSD  Type [ 8, 88 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^12 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 1588   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^5 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1 * A.2^5 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1,
A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 114 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^19 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^17 ]

Chiral 3-polytope with group of order 1596   NSD  Type [ 6, 114 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^19 * A.1^2 * A.2 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-4 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-1, A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-3, A.2^-1 * A.1^-2 * A.2^-4 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^4 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^4 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^20 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^40 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 40 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-6 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 80 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^80 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 4, 80 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^20 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1600   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2^-4 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-3 * A.2 * A.1^3 * A.2^4 * A.1^-2 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^4 * A.1, A.2 * A.1^-3 * A.2 * A.1^3 * A.2^4 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-2, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-1)^4, A.2 * A.1^-2 * A.2^2 * A.1^4 * A.2^4 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1)^4,
A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1)^4,
A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^4 * A.1^-1 * A.2^3, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 20 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^3 * A.2^-2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-9 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^40 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^40 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-9 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 16, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^16, A.2^20 ]

Chiral 3-polytope with group of order 1600   NSD  Type [ 16, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2, A.2^20 ]

Chiral 3-polytope with group of order 1600   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1604   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1608   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1608   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1608   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^3 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1616   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1620   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^3, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 6, 90 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2,
A.2^15 * A.1^2 * A.2^4 * A.1^-2 * A.2^11 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 6, 270 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^45 * A.1^2 * A.2 * A.1^-2 * A.2^44 ]

Chiral 3-polytope with group of order 1620   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1620   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.1^12, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, (A.1 * A.2^-2)^4, (A.1^-2 * A.2)^4, A.1^-1 * A.2 * A.1^6 * A.2^-1 * A.1^3 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1620   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1, A.1^12 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 18, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^30 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 18, 90 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^18, A.2^15 * A.1^-2 * A.2 * A.1^-1 * A.2^-7 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 18, 90 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^8 * A.2 * A.1^-1 * A.2^2 * A.1^-3, A.2^4 * A.1^5 * A.2^-2 * A.1 * A.2^4, A.1^18 ]

Chiral 3-polytope with group of order 1620   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-4, (A.2^-1 * A.1)^5 ]

Chiral 3-polytope with group of order 1620   NSD  Type [ 30, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^-1 * A.1^3, A.2^-8 * A.1^2 * A.2^-1 * A.1 * A.2^7 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.1 * A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.2^-2 * A.1^6 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1, A.1^14, A.2^-2 * A.1^6 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.1 * A.2^-2 * A.1^5 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.2^-1 * A.1 * A.2^-1 * A.1^5 * A.2^-1 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 14, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2,
A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.1^2 * A.2^-1 * A.1^5 * A.2^-2 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-10 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.1^-1 * A.2^4 * A.1^-4 * A.2 * A.1^-1 * A.2^2 * A.1^-11 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1624   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^10 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1626   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^24 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-3 * A.1^2 * A.2^-2 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^-3 * A.1^2 * A.2^-2 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1632   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 16, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^16 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 16, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^2 * A.1^-2 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2, A.1^16 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 16, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^7 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.1^16 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 16, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2, A.1^16 ]

Chiral 3-polytope with group of order 1632   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^6 * A.2^-1 * A.1^3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1636   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1638   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1638   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1638   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-21 ]

Chiral 3-polytope with group of order 1638   NSD  Type [ 6, 39 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-39 ]

Chiral 3-polytope with group of order 1640   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1640   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 4, 164 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^41 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^38 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 10, 20 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.2 * A.1^7 * A.2 * A.1^-1 * A.2^4, A.2^2 * A.1^-3 * A.2 * A.1^-8 * A.2 * A.1^-1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, (A.1^4 * A.2^-1 * A.1 * A.2^-3 * A.1)^2 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 40, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^5, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-5 * A.2^2 * A.1^-3 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 40, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-2, A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^7 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 40, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2 * A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^4, A.1^-1 * A.2^2 * A.1^-9 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1640   NSD  Type [ 40, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^7 * A.2^5 * A.1^-1, A.2 * A.1^-2 * A.2^3 * A.1^-1 * A.2 * A.1^-9 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1650   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^-15 ]

Chiral 3-polytope with group of order 1650   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1, A.2^-15 ]

Chiral 3-polytope with group of order 1662   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-4 * A.1^2 * A.2^4 * A.1^-1, A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^32 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 4, 32 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1664   NSD  Type [ 8, 16 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1668   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1674   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1674   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1674   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1674   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1674   NSD  Type [ 6, 279 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-47 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-45 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 4, 84 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^84 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 6, 120 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^20 * A.1^-2 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-2 * A.2^14 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 6, 120 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^20 * A.1^2 * A.2^2 * A.1^-1 * A.2^-4 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 15 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-15, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 28 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^28 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^10 * A.1^2 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-2 * A.2^4 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-2, A.2^10 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 14, 105 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14, A.2^2 * A.1 * A.2^-5 * A.1^-3 * A.2^8 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 24, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^7 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, (A.1 * A.2^-3 * A.1^2)^2, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-2 * A.2^4 * A.1^3 * A.2^-1 * A.1 * A.2^5 ]

Chiral 3-polytope with group of order 1680   NSD  Type [ 24, 30 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2^3 * A.1^-2 * A.2^-1, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1684   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1696   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1696   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1696   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1698   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1700   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1700   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1700   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1710   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1710   NSD  Type [ 18, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^2 * A.1^-5 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1710   NSD  Type [ 18, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1^-5 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1710   NSD  Type [ 18, 45 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2^2 * A.1^-4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1716   NSD  Type [ 6, 66 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^-8 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1716   NSD  Type [ 6, 66 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-10 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1720   NSD  Type [ 4, 172 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^43 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^40 ]

Chiral 3-polytope with group of order 1722   NSD  Type [ 6, 123 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-21 * A.1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-16 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 3, 8 ]
[ A.1^3, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^6, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-4 * A.1^-1 * A.2^2 * A.1^-1 * A.2^4 * A.1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-1)^6, A.2^16 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2^-5 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^2 * A.1 * A.2^-4 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^24 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-3 * A.1 * A.2^-1, A.2^48 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.2^12 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1728   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1^-1 * A.2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   ISD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1, A.2^-3 * A.1 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 8 ]
[ A.1^6, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.1 * A.2^-3 * A.1 * A.2^-2 * A.1^-2 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2, A.2^18 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^18, A.2^-1 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-1)^6, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, A.2^18 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-3, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 72 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1, A.2^-12 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-5 * A.1^-2 * A.2^-4 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 72 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 6, 288 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^48 * A.1^2 * A.2 * A.1^-2 * A.2^47 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, (A.1 * A.2^-1)^6 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1,
(A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^12, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.1)^4, A.2^12, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, (A.2^-1 * A.1^2 * A.2^-1)^3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^3 * A.2 * A.1^-3 * A.2^-1, A.2^12 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^3 * A.1 * A.2^-3 * A.1^2 * A.2^-5 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^-3 * A.1^2 * A.2^-2 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-3 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-1, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^5 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-4 * A.1, A.2^24 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-3, A.2^24 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, (A.1 * A.2^-1)^6, A.2^-2 * A.1^-1 * A.2^2 * A.1^-4 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, (A.1 * A.2^-1)^6, A.2^3 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2^3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 9, 24 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^-1 * A.2^5 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 9, 24 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 9, 24 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-4 * A.1^2 * A.2 * A.1^-1 * A.2^-3, A.2^16 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1)^6, (A.1 * A.2^-2)^4, A.2^16 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, (A.1 * A.2^-2)^4, A.2 * A.1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.1^-2 * A.2 * A.1^5 * A.2^-4 * A.1 * A.2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2, A.1^4 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3,
(A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-3 * A.1^5 * A.2 * A.1^-3 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^6 * A.1^3 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.1^-1 * A.2 * A.1 * A.2^-4 * A.1^5 * A.2^7 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3,
(A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^12 * A.1^2 * A.2^4 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-7 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^5 * A.2^7 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2^12 * A.1^-3 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-2 * A.2^3 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 144 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^12 * A.1^2 * A.2 * A.1^-2 * A.2^11 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 12, 144 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^24 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-1 * A.1 * A.2^17 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.1^18, A.2^3 * A.1 * A.2^-5 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, (A.1 * A.2^-1 * A.1^4)^2, A.2^-2 * A.1^-1 * A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, (A.1 * A.2^-1 * A.1^4)^2, A.2^3 * A.1^5 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1^2, A.2^-2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1 * A.2^-2 * A.1^4 * A.2^5 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^3 * A.1^5 * A.2^-4 * A.1 * A.2, A.2^-4 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2, A.2 * A.1^-7 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2^6 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 18, 96 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^16 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 1728   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-4 * A.2, A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1^6 * A.2^-5 * A.1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-3, A.1^-10 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^-3 * A.2 * A.1^4 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-3, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^11 * A.2^2 * A.1^-1 * A.2^2, A.1^-1 * A.2 * A.1 * A.2^-4 * A.1^5 * A.2^7 * A.1^-1 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2^-4 * A.1^-1 * A.2 * A.1^3 * A.2^-7 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2^3 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^5, A.1^4 * A.2^-1 * A.1^13 * A.2^-2 * A.1 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^7 * A.2^-2 * A.1 * A.2^-2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^12 * A.1^2 * A.2^4 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 24, 72 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-13 * A.2^2 * A.1^-1 * A.2, A.2^12 * A.1^2 * A.2 * A.1^-2 * A.2^11 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 36, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1^10 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1728   NSD  Type [ 36, 48 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.1^10 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-3 * A.1^-1 * A.2^3 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1732   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1744   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1746   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1750   NSD  Type [ 10, 175 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-18 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-14 ]

Chiral 3-polytope with group of order 1750   NSD  Type [ 10, 175 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^-18 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-13 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^3 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1^3 * A.2^-1)^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1^2 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1752   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^7 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 4, 44 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^44 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 4, 88 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^22 * A.1^2 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^16 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 4, 88 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^88 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-1 * A.1^-2 * A.2^-5 * A.1^2 * A.2 * A.1^-1 * A.2^5 * A.1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 8, 44 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^44 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 8, 44 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^44 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 10, 80 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1,
A.2^2 * A.1 * A.2^-5 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-6 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 10, 80 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^6 * A.1 * A.2^-2 * A.1^-2 * A.2^-6 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 10, 80 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1, A.2^4 * A.1 * A.2^-4 * A.1^-2 * A.2^-3 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 10, 80 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^-4 * A.1^-1 * A.2^4 * A.1^5 * A.2^-5 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2, A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-4 * A.2^2 * A.1^-2 * A.2 * A.1^-3 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.1^-1 * A.2^4 * A.1^-7 * A.2^3 * A.1^-1 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^7 * A.2^2 * A.1^-3 * A.2, A.2 * A.1 * A.2^-1 * A.1^5 * A.2^6, (A.1^-3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2)^2 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1, A.2 * A.1^7 * A.2^2 * A.1^-3 * A.2, A.1^-3 * A.2^4 * A.1^-6 * A.2 * A.1^-2 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2^4 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^2 * A.1^-11 * A.2 * A.1^-2 * A.2 * A.1^-3 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2,
A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3, A.1^4 * A.2^-1 * A.1^2 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1^7 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^3 * A.1^-2, A.2^4 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.2^-2 * A.1 * A.2^-1 * A.1^9 * A.2^-1 * A.1 * A.2^-2 * A.1^3 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2 * A.1^-2, A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-8 * A.2^2 * A.1^-3 ]

Chiral 3-polytope with group of order 1760   NSD  Type [ 20, 40 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2 * A.1^7 * A.2^5 * A.1^-1, A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^7 * A.2^-2 * A.1^3 * A.2^-2 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^3 * A.1^-2 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1^-1 * A.2^-3 * A.1^2 * A.2^-1 * A.1^-3 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^42 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^42 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3,
A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-1)^6, A.2^2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-5 * A.1^2 * A.2^-1 * A.1^2 * A.2^-8 ]

Chiral 3-polytope with group of order 1764   NSD  Type [ 6, 42 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1768   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1768   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1768   NSD  Type [ 4, 52 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^13 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1768   NSD  Type [ 4, 68 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^17 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^9 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2 * A.1^-1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1776   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1776   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^-2 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1778   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1778   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1778   NSD  Type [ 7, 14 ]
[ A.1^7, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1780   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1780   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1782   NSD  Type [ 6, 297 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-50 * A.1^3 * A.2 * A.1^-1 * A.2^-48 ]

Chiral 3-polytope with group of order 1782   NSD  Type [ 18, 99 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^18, A.2^-17 * A.1^3 * A.2^4 * A.1^-1 * A.2^-12 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 4, 112 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^14 * A.1^-1 * A.2^-5 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 8, 224 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2^28 * A.1^3 * A.2^-2 * A.1 * A.2^26 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.1^14 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.1^14 ]

Chiral 3-polytope with group of order 1792   PSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1^14, A.2^-2 * A.1^6 * A.2^-2 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^3 * A.1^-2, A.1^14, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^14, (A.1 * A.2^-1 * A.1^5)^2 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 14, 112 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.1^14, A.2^4 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 16, 28 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-2 * A.2 * A.1^3 * A.2^2 * A.1^-1 * A.2, A.2^28 ]

Chiral 3-polytope with group of order 1792   PSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2 * A.1^-2, A.2 * A.1^-4 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-13 * A.2^2 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 28, 56 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^5, A.2 * A.1^-1 * A.2^2 * A.1^-3 * A.2^2 * A.1^-2 * A.2 * A.1^-8 * A.2 * A.1^-1 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 28, 56 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^3 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1, A.1^-2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1^-12 * A.2^3 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1792   NSD  Type [ 32, 56 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.1 * A.2^-1 * A.1^-13 * A.2^-1 * A.1^2, A.2^14 * A.1^-3 * A.2^-1 * A.1 * A.2^4 * A.1 * A.2^-3 * A.1^-3 * A.2^6 ]

Chiral 3-polytope with group of order 1794   NSD  Type [ 6, 69 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2, A.2^11 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-6 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1796   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1800   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-6 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^3 * A.1 * A.2^-5 * A.1^-1 * A.2 * A.1^-1 * A.2^-8 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 4, 180 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^45 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^42 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2, A.1 * A.2^-2 * A.1 * A.2^-4 * A.1^4 * A.2^4 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1800   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^12, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^12, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^3 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1^12, (A.2^-1 * A.1^2 * A.2^-1)^3, A.2^12, A.1 * A.2^-4 * A.1^3 * A.2^3 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^2 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^15 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 12, 60 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^15 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-5 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1800   NSD  Type [ 20, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^20, A.2^-4 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^5 * A.2^-2 * A.1 * A.2 * A.1^-3 * A.2^-6 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 6, 21 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 6, 129 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-23 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-12 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.1^-7 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 14, 21 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-3, A.1 * A.2^-7 * A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-2 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^8 * A.2^-6 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1 * A.2^-4 * A.1 * A.2^-1 * A.1^6 * A.2^-4 * A.1^3 * A.2^-1 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^7 * A.2 * A.1^-1 * A.2^2 * A.1^-2, A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1^8 * A.2^-1 * A.1^2 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.2^4 * A.1^-1 * A.2 * A.1^2 * A.2^-4 * A.1 * A.2, A.2^-3 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^5 * A.2^-4 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1806   NSD  Type [ 21, 42 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^3 * A.1^-1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.2^4 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-6 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1808   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1808   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1808   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 1808   NSD  Type [ 16, 16 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1810   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^5 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1810   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1812   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^2 * A.2^3 * A.1^-1, A.1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-5)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^4 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 6, 48 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^-1 * A.2^8 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^12, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-5 * A.1 * A.2^6, A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^12, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1824   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1828   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 10, 15 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-2 * A.2 * A.1^-4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^3 * A.1^5 * A.2^-1 * A.1 * A.2^2 * A.1^-2, A.1^-15 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-1 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^-15 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.1^-2 * A.2 * A.1 * A.2^-2 * A.1^-3 * A.2^-3, A.2 * A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1^2 * A.2 * A.1^-2, A.1^-15 ]

Chiral 3-polytope with group of order 1830   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1,
A.1^-15 ]

Chiral 3-polytope with group of order 1832   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1836   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1836   NSD  Type [ 6, 306 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^51 * A.1^3 * A.2^-7 * A.1 * A.2^44 ]

Chiral 3-polytope with group of order 1836   NSD  Type [ 18, 102 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^4 * A.2^-2 * A.1 * A.2^-1, A.2^17 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1 * A.2^11 ]

Chiral 3-polytope with group of order 1840   NSD  Type [ 4, 92 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^92 ]

Chiral 3-polytope with group of order 1842   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1844   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1848   NSD  Type [ 6, 33 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^6 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1848   NSD  Type [ 6, 132 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^22 * A.1^3 * A.2^-7 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^13 ]

Chiral 3-polytope with group of order 1848   NSD  Type [ 6, 132 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1, A.2^22 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-2 * A.1^-1 * A.2^15 ]

Chiral 3-polytope with group of order 1848   NSD  Type [ 12, 66 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-2 * A.1^4 * A.2^-1 * A.1 * A.2^-3, A.2^11 * A.1^2 * A.2^4 * A.1^-1 * A.2^-2 * A.1^-1 * A.2^5 ]

Chiral 3-polytope with group of order 1848   NSD  Type [ 12, 66 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2, A.2^11 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-2 * A.2^6 ]

Chiral 3-polytope with group of order 1854   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1856   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1856   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1856   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1856   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1856   NSD  Type [ 4, 16 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^16, A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 ]

Chiral 3-polytope with group of order 1856   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1856   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1856   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2,
A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 10, 30 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2^3 * A.1^-3 * A.2^-1 * A.1^4 * A.2^-1 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 10, 30 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 10, 30 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^4 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 10, 30 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2^4 * A.1^-2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^5 * A.2^-1 * A.1^2 * A.2^-2 * A.1^7 * A.2^-2 * A.1 * A.2^-1 * A.1^3 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^4, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-3 * A.1^12 * A.2^-3 * A.1^4 * A.2^-2 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1^-2 * A.2^2 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.2 * A.1^7 * A.2 * A.1^-1 * A.2^4, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1^10 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1860   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-2 * A.2^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^4 * A.1^-1, A.1^-3 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^4 * A.1^-1 * A.2 * A.1^-8 * A.2^2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1864   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1864   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2 * A.1^-1 * A.2^-4 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1870   NSD  Type [ 10, 85 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1870   NSD  Type [ 10, 85 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^4 * A.2^-1 * A.1^-2 * A.2^3 * A.1^-2 * A.2^-1, A.2^-7 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 3, 12 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-5)^2, A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 3, 24 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^4 * A.1^2 * A.2^-2 * A.1 * A.2^5, (A.1 * A.2^-5 * A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1872   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 4, 36 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^36 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 4, 104 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2, A.2^26 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^21 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1^3 * A.2^3 * A.1^-2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^2, A.2^12, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^-2 * A.1 * A.2^-4 * A.1^-2 * A.2^-4 * A.1 * A.2^-2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2, A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-4 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-5, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2^24 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 6, 24 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^24 ]

Chiral 3-polytope with group of order 1872   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1872   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-3 * A.2 * A.1^2 * A.2^4 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 8, 52 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2^-1 * A.1 * A.2^-1, A.2^13 * A.1^-2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^8 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 8, 104 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-2 * A.2^-1, A.2^13 * A.1^3 * A.2^-3 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.1^12, A.1^2 * A.2^-1 * A.1^4 * A.2^-3 * A.1^2, A.2^-2 * A.1^-2 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1872   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^12, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-3 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1, (A.1 * A.2^-3 * A.1^2)^2, A.2^12, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1 * A.2^-3 * A.1^2 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1872   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.1 * A.2^-1 * A.1^5 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^12 ]

Chiral 3-polytope with group of order 1878   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1880   NSD  Type [ 4, 188 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^47 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^44 ]

Chiral 3-polytope with group of order 1884   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1884   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^3, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1 * A.2^-1 * A.1^5 * A.2^-1 * A.1^-4 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1890   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-15, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1890   NSD  Type [ 6, 45 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-45 ]

Chiral 3-polytope with group of order 1890   NSD  Type [ 6, 45 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^7 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1890   NSD  Type [ 6, 45 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^3 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^7 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1890   NSD  Type [ 6, 315 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-53 * A.1^3 * A.2 * A.1^-1 * A.2^-51 ]

Chiral 3-polytope with group of order 1896   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1896   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^12, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^-2 * A.1^-1 ]

Chiral 3-polytope with group of order 1896   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1904   NSD  Type [ 4, 28 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2, A.2^28 ]

Chiral 3-polytope with group of order 1904   NSD  Type [ 8, 56 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^-1 * A.2^9 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1904   NSD  Type [ 8, 56 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-2, A.2^-2 * A.1^-1 * A.2^5 * A.1^-2 * A.2^4 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1904   NSD  Type [ 14, 119 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-2 * A.2 * A.1^-1,
A.2^3 * A.1^4 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1^14, A.2^2 * A.1 * A.2^-4 * A.1^-1 * A.2^2 * A.1 * A.2^-7 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1908   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1910   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1^-1 * A.2^3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1910   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1)^2, A.1^2 * A.2^-1 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^5 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 5 ]
[ A.1^4, A.2^5, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^12, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^12, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^12, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^12, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2^-2 * A.1^-1 * A.2^5 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-2 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-4, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^-1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 24 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.1 * A.2^-5 * A.1 * A.2^-1 * A.1 * A.2^-4 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 30 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2^30 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^-5 * A.1^-1 * A.2^6 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^6 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 48 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^48 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 96 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^24 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^18 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 4, 96 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^96 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 5, 5 ]
[ A.1^5, A.2^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 6 ]
[ A.1^5, A.2^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 6 ]
[ A.1^5, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-2 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 6 ]
[ A.1^5, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, A.2^-1 * A.1^-2 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 6 ]
[ A.1^5, A.2^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 8 ]
[ A.1^5, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^6, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-2 * A.1, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-4)^2, (A.1 * A.2^-1)^6, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 10 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-4)^2, (A.1 * A.2^-1)^6, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 5, 12 ]
[ A.1^5, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^12, A.2^4 * A.1^-1 * A.2 * A.1^2 * A.2^-4 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 10 ]
[ A.1^6, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-4)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 10 ]
[ A.1^6, A.2^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, (A.1 * A.2^-4)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 10 ]
[ A.1^6, A.2^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.1)^5, (A.1 * A.2^-4)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 10 ]
[ A.1^6, A.2^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-4)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2^3 * A.1^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^4 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-1)^6, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, (A.1 * A.2^-1)^6, A.2^-5 * A.1^-2 * A.2^-2 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 15 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1)^6, A.2^-3 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 20 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^20 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 30 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2, A.2^-4 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 40 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-3 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1, A.2^-9 * A.1^-1 * A.2 * A.1^-2 * A.2^3 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2, A.2^8 * A.1^-2 * A.2^2 * A.1 * A.2^-7 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^10 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^8 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 6, 60 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-2)^4, (A.1 * A.2^-5)^2, A.2 * A.1^2 * A.2^-2 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2, A.2^-2 * A.1^-1 * A.2^3 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, A.2^12, A.2^2 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^12, A.2^-1 * A.1^-2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-2)^4, A.2^12, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2, (A.1 * A.2^-2)^4, A.2^12, A.2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-5 * A.1^2 * A.2^-2 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^12, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^3 * A.2^4 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 12 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.2^12, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^3 * A.1^3 * A.2^3 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^3 * A.1^3 * A.2^3 * A.1^-1, A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^5 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^3 * A.1^-2 * A.2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^6 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-6 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2,
(A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 30 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^30 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-10 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^5 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^48 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^3 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^3 * A.2^-1, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2^3 * A.1 * A.2^-1 * A.1 * A.2^6 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^-10 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 8, 48 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^48 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2 * A.1^-1 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^3, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-1 * A.1 * A.2^-1 * A.1^2, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, (A.1 * A.2^-2)^4 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.1^12, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^6 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, (A.1 * A.2^-1 * A.1)^4, A.2^12, (A.1 * A.2^-2)^4, A.1 * A.2^-2 * A.1^5 * A.2^3 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2, A.1^12, A.1^-1 * A.2^2 * A.1^4 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^16 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 16 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^16, A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-4 * A.1)^2, A.2 * A.1^2 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-4 * A.1)^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, (A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, A.1^3 * A.2^-1 * A.1^3 * A.2^-5, (A.1 * A.2^-1 * A.1 * A.2^-2 * A.1)^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2, A.2^3 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2 * A.1 * A.2^-2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^4, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2^3 * A.1 * A.2^-1 * A.1^4 * A.2^-4 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 32 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-7 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 12, 32 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^12, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^32 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.1^-15, A.2 * A.1^-7 * A.2^2 * A.1^-1 * A.2 * A.1^-3 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^16, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^16, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1^16, A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1^-1 * A.2^5 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 16, 24 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^16, A.2^24 ]

Chiral 3-polytope with group of order 1920   NSD  Type [ 30, 60 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^5 * A.1^-1, A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-4 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-13 ]

Chiral 3-polytope with group of order 1924   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1924   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1928   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 ]

Chiral 3-polytope with group of order 1928   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-3 ]

Chiral 3-polytope with group of order 1932   NSD  Type [ 6, 138 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^23 * A.1^2 * A.2^2 * A.1^-1 * A.2^-4 * A.1 * A.2^17 ]

Chiral 3-polytope with group of order 1932   NSD  Type [ 6, 138 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^23 * A.1^3 * A.2^-1 * A.1^2 * A.2^-5 * A.1^-1 * A.2^17 ]

Chiral 3-polytope with group of order 1936   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2, (A.1 * A.2^-2)^4, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-4 * A.1^2 * A.2 * A.1^-1 * A.2^4 * A.1^2 * A.2, A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^4 * A.1^2 * A.2^-3 ]

Chiral 3-polytope with group of order 1936   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^4 * A.1 ]

Chiral 3-polytope with group of order 1938   NSD  Type [ 6, 51 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^7 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1940   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1940   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 3, 18 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.2^2 * A.1^-1 * A.2^2)^3, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2^4 * A.1^2 * A.2^-2 * A.1 * A.2^-5, A.2^18, A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^-3 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 3, 36 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.2^2 * A.1^-1 * A.2^2)^3, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2, A.2^2 * A.1 * A.2^-10 * A.1^-1 * A.2^9 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2^12, A.2^-1 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3 * A.1 * A.2^-1)^2, A.2^12, A.2^-3 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 4, 18 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^-2, A.2^2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1)^6, A.2^12, A.2^-4 * A.1^-2 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1)^6, A.2^12, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^2, A.2^12 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-2 * A.2 * A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.1^2 * A.2^-4 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, (A.1 * A.2^-5)^2, A.2^-2 * A.1^2 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-2 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1 * A.2^-2, A.2^-7 * A.1^2 * A.2^-3 * A.1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-3 * A.2^-3 * A.1 * A.2^-1, (A.1 * A.2^-1)^6, A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^2 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2^-1, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-2, (A.1 * A.2^-1)^6, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-2 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1, A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-3 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-7 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^2, A.2^4 * A.1 * A.2^-2 * A.1^2 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 36 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 81 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.2^-14 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 108 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^2 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1^2 * A.2,
A.2^18 * A.1^2 * A.2^4 * A.1^-2 * A.2^14 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 6, 324 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^54 * A.1^2 * A.2 * A.1^-2 * A.2^53 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^-4 * A.2^-1 * A.1^3 * A.2, A.2^-2 * A.1^-1 * A.2^2 * A.1^-2 * A.2^4 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2^2 * A.1^4 * A.2^-2 * A.1^2 * A.2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1^3 * A.2^-1)^3, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2 * A.1^2 * A.2^-2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^-3 * A.2^4 * A.1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1, A.2^-1 * A.1^3 * A.2^-1 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 12 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^12, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-3 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^6 * A.1^-2 * A.2^-5 * A.1 * A.2, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^6 * A.1^-2 * A.2^-5 * A.1 * A.2, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-5 * A.1^-2 * A.2^7, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 36 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-2 * A.2^-2 * A.1 * A.2^-2, A.2^6 * A.1^-1 * A.2 * A.1 * A.2^-5 * A.1^-3 * A.2^-4 * A.1 * A.2 * A.1^-1 * A.2^7 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 36 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2^2 * A.1^2 * A.2^2 * A.1^-1 * A.2, A.2^-8 * A.1^-1 * A.2^4 * A.1 * A.2^-3 * A.1 * A.2^8 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 9, 36 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-8 * A.1^-1 * A.2^4 * A.1^3 * A.2^7 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2^-1 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2^-2, (A.1 * A.2^-2)^4, A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 1944   PSD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-2 * A.1^3)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-1 * A.1)^4, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2^-2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1^2 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^12, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1^3 * A.2^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, (A.1 * A.2^-2 * A.1 * A.2^-1 * A.1)^2, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3,
(A.1 * A.2^-1)^6, A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, A.1 * A.2^-3 * A.1^3 * A.2^-1 * A.1^2 * A.2^-2, (A.1 * A.2^-1)^6, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.1^12, A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.2 * A.1 * A.2^-4 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 18 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.1^12, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-4 * A.1)^2, A.2^-2 * A.1^6 * A.2^2 * A.1^-2 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1^3, (A.1 * A.2^-1)^6, A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-8 * A.1^2 * A.2^-1 * A.1 * A.2^7 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 81 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^12, A.2^-14 * A.1^-2 * A.2^-1 * A.1^3 * A.2^8 * A.1^-2 * A.2 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 12, 162 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^12, A.2^27 * A.1^2 * A.2 * A.1^-2 * A.2^26 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-1, A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^-2 * A.2 * A.1^-3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 27 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2, A.2 * A.1^7 * A.2 * A.1^-5, A.2^5 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^3, A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2 * A.1^-2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-5 * A.1 * A.2^6, A.2 * A.1^8 * A.2 * A.1^-3 * A.2^2 * A.1^-1, A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^4)^2, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-3 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2^-4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^36 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, (A.1 * A.2^-1 * A.1^4)^2, (A.1 * A.2^-3 * A.1^2)^2, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-7, A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-2 * A.1^-2 * A.2^5 * A.1^2 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, (A.1 * A.2^-1 * A.1^4)^2, A.2^2 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-1 * A.2^2 * A.1^-1,
A.2^2 * A.1^-1 * A.2^4 * A.1^2 * A.2^4 * A.1^-1 * A.2^2, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, (A.1 * A.2^-1 * A.1^4)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1, A.2^-4 * A.1 * A.2^-2 * A.1^2 * A.2^3 * A.1^-2 * A.2^-1 * A.1, A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^4 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.1^18, A.1^3 * A.2^-5 * A.1^-6 * A.2^-1 * A.1^3 * A.2^6 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-3 * A.2 * A.1^5 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-8 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 36 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^5 * A.2 * A.1^-4 * A.2^-1 * A.1, A.1^-1 * A.2^4 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 108 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-4 * A.1^3 * A.2^7,
A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 108 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^5 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^3, A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 108 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-4 * A.1^-1 * A.2^2 * A.1^2 * A.2^4 * A.1^-1 * A.2^-2, A.1^18 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 18, 108 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.1^18, A.2^18 * A.1^-1 * A.2^-2 * A.1^2 * A.2^-6 * A.1 * A.2^10 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-3 * A.1^2, (A.1^3 * A.2^-1)^3, A.2^-1 * A.1 * A.2^-2 * A.1^3 * A.2^-4 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-1 * A.1^2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^6 * A.2^-3 * A.1 * A.2^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-5 ]

Chiral 3-polytope with group of order 1944   ISD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^2 * A.1^-2 * A.2^-1, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 24, 24 ]
[ (A.1^-1 * A.2^-1)^2, A.2^3 * A.1^3 * A.2^-1 * A.1 * A.2^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-2 * A.1 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 27, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^-7 * A.2^4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 27, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-6 * A.2^2 * A.1^-3 * A.2^-1, A.2^-5 * A.1^-2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 27, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-6 * A.2^2 * A.1^-3 * A.2^-1, A.2^-1 * A.1 * A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2^-3 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 27, 36 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-6 * A.2^2 * A.1^-3 * A.2^-1, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-4 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 36, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2 * A.1 * A.2^-4 * A.1^3 * A.2^7,
A.1^10 * A.2^-1 * A.1^2 * A.2^-5 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 36, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^-4 * A.1^-1 * A.2^2 * A.1^2 * A.2^4 * A.1^-1 * A.2^-2, A.2^-1 * A.1^9 * A.2^-7 * A.1 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 36, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-2 * A.2 * A.1^4 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, A.2^5 * A.1 * A.2^-1 * A.1^2 * A.2^-3 * A.1 * A.2^3, A.1^10 * A.2^-4 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1944   NSD  Type [ 36, 54 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2^2 * A.1^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2^-7 * A.1^2 * A.2^-2 * A.1^-2 * A.2^-9 ]

Chiral 3-polytope with group of order 1950   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^3 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1950   NSD  Type [ 6, 75 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-1, A.2^-13 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^5 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 1950   NSD  Type [ 15, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2^4, A.1^-15, A.2^2 * A.1^-1 * A.2 * A.1^-4 * A.2^2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1952   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1952   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1952   NSD  Type [ 4, 8 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1956   NSD  Type [ 6, 6 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1958   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.1^-1 * A.2 * A.1^-4 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1958   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2 * A.1^-1 * A.2 * A.1^-3 * A.2^4 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1958   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1958   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.1^-11, A.2^2 * A.1^-4 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1958   NSD  Type [ 11, 22 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 * A.2^-1, A.1^-11, A.2^3 * A.1^-3 * A.2^2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1960   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1960   NSD  Type [ 4, 196 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2, A.2^49 * A.1^2 * A.2^2 * A.1^-1 * A.2^-6 * A.1 * A.2^41 ]

Chiral 3-polytope with group of order 1960   NSD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^5 * A.1 * A.2^-1 * A.1^-2 * A.2^-6 * A.1 * A.2^2, A.2^-4 * A.1 * A.2^-3 * A.1^2 * A.2^-3 * A.1^5 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1960   ISD  Type [ 28, 28 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.2^-1 * A.1^-1 * A.2^5 * A.1 * A.2^-2 * A.1^11 * A.2^6 * A.1 ]

Chiral 3-polytope with group of order 1962   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1962   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1962   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^6 ]

Chiral 3-polytope with group of order 1962   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^2 * A.1 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 1968   NSD  Type [ 4, 12 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^12, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2^2 ]

Chiral 3-polytope with group of order 1968   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1 * A.2^-3 * A.1^2 * A.2 * A.1^-1 * A.2^3 ]

Chiral 3-polytope with group of order 1968   NSD  Type [ 8, 24 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^3 * A.2^-1 * A.1^-3 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1968   ISD  Type [ 12, 12 ]
[ (A.1^-1 * A.2^-1)^2, A.1^12, A.2^-2 * A.1^5 * A.2^-3 * A.1 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.1^-2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1972   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1972   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^-2 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 1974   NSD  Type [ 6, 141 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 * A.1, A.2^-24 * A.1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-19 ]

Chiral 3-polytope with group of order 1976   NSD  Type [ 4, 76 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2, A.2^19 * A.1^2 * A.2^2 * A.1^-1 * A.2^-6 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^7 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 10, 90 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1^2 * A.2^-1 * A.1 * A.2^-2, A.2^3 * A.1 * A.2^-3 * A.1^-1 * A.2^3 * A.1^-1 * A.2^-6 * A.1 * A.2^3 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 10, 90 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2^-1, A.2^-4 * A.1 * A.2^2 * A.1 * A.2^-3 * A.1^-2 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2^-3 * A.1^2 * A.2^-2 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 10, 90 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^5 * A.1^-4 * A.2^9 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 10, 90 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, (A.1 * A.2^-1 * A.1 * A.2^-1 * A.1)^2, A.1 * A.2^-3 * A.1 * A.2^-1 * A.1^-2 * A.2^-1 * A.1^4 * A.2^-1,
A.2^-6 * A.1^-1 * A.2^3 * A.1^2 * A.2 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^6 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2^-1 * A.1^4 * A.2^-2 * A.1^2 * A.2^-3 * A.1^7 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-3 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-1 * A.2^2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^2 * A.1^-1, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^-3 * A.1^5 * A.2^-6 * A.1^3 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1, A.2 * A.1^7 * A.2^2 * A.1^-2 * A.2 * A.1^-1, A.1^-7 * A.2 * A.1^-1 * A.2^9 * A.1^-7 * A.2^3 * A.1^-1 * A.2 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2^3 * A.1^-1 * A.2^-1, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2^3, A.1^-7 * A.2^3 * A.1^-1 * A.2^4 * A.1^-1 * A.2^2 * A.1^-7 * A.2 * A.1^-2 * A.2^2 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, A.2^3 * A.1^4 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 3-polytope with group of order 1980   NSD  Type [ 30, 30 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2 * A.1^2)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-3 * A.1^4 * A.2^-1 * A.1^3 * A.2^2 ]

Chiral 3-polytope with group of order 1984   NSD  Type [ 31, 62 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^3 * A.1^-3, A.1^-2 * A.2 * A.1^-5 * A.2 * A.1^-3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-7 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1984   NSD  Type [ 31, 62 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2^2 * A.1^-1 * A.2^3, A.1^-4 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-2 * A.2 * A.1^-2 * A.2^3 * A.1^-6 * A.2 * A.1^-2 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 1984   NSD  Type [ 31, 62 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^7 * A.2 * A.1^-1 * A.2^2 * A.1^-2, A.1^-2 * A.2 * A.1^-2 * A.2 * A.1^-3 * A.2^10 * A.1^-7 * A.2 * A.1^-3 * A.2 ]

Chiral 3-polytope with group of order 1986   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2 * A.1^-1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1988   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^4 * A.2 * A.1^-3 * A.2^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, A.2^-2 * A.1^6 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1988   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14,
A.1 * A.2^-1 * A.1^6 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1988   NSD  Type [ 14, 14 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^-2 * A.2 * A.1^3 * A.2^-2 * A.1 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^14, (A.1 * A.2^-2 * A.1^4)^2, A.2^-1 * A.1^-1 * A.2 * A.1^5 * A.2 * A.1^-4 * A.2^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 3, 6 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1^-1 * A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^2 * A.1^-1 * A.2^-2 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 6, 9 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2^2 * A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 6, 333 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-2)^2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1, A.2^-56 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-54 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^-3 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-2 * A.1^3 * A.2 * A.1^-2 * A.2^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 3-polytope with group of order 1998   NSD  Type [ 9, 18 ]
[ A.1^9, (A.1^-1 * A.2^-1)^2, (A.2 * A.1^-1 * A.2)^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^4 * A.1^3 * A.2^-1 * A.1^2 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^-2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 4, 4 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^2 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, (A.1 * A.2^-2)^4, A.2^2 * A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.2^20 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^2, A.2^20 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 4, 20 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, A.2^3 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2, (A.1 * A.2^-1)^10 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 4, 100 ]
[ A.1^4, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-3)^2, A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.2^100 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-3 * A.1^3 * A.2^-2 * A.1 * A.2^-1 * A.1, A.2^-2 * A.1^2 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^3 * A.1^-1, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2 * A.1^-2 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.1^-2 * A.2^-4 * A.1^4 * A.2^2 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-3, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-2 * A.1 * A.2 * A.1^-1 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1^-1 * A.2 * A.1^3 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1^2 * A.2^3, A.2^-2 * A.1 * A.2^-2 * A.1^-3 * A.2^4 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-1 * A.1^-1 * A.2^2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-2, A.1 * A.2^-4 * A.1^-3 * A.2^-1 * A.1^2 * A.2^-3, A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^3 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-2 * A.2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1 * A.1, A.1 * A.2^-4 * A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1 * A.2^-3, A.1^-2 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2^3 * A.1^-2 * A.2 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-2 * A.1 ]

Chiral 3-polytope with group of order 2000   PSD  Type [ 8, 8 ]
[ A.1^8, A.2^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2 * A.1 * A.2^-2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^2, A.1^-1 * A.2^-4 * A.1^-3 * A.2^-1 * A.1^2 * A.2^3 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^3 * A.2^-1 * A.1^-4 * A.2 * A.1^-2 * A.2^-1 * A.1, A.2 * A.1^3 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^3 * A.1^-1, A.2^5 * A.1 * A.2^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.2^-1 * A.1^3 * A.2 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 8, 40 ]
[ A.1^8, (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1)^4, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2^-1 * A.1^-2 * A.2 * A.1^-4 * A.2^-1 * A.1^3 * A.2^-1 * A.1, A.2^-5 * A.1^4 * A.2^-4 * A.1^2 * A.2^-1 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 10, 200 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^20 * A.1^2 * A.2 * A.1^-1 * A.2^-4 * A.1 * A.2^15 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 10, 200 ]
[ A.1^10, (A.1^-1 * A.2^-1)^2, A.1 * A.2^-1 * A.1^4 * A.2^-1 * A.1 * A.2^-2, A.2^20 * A.1 * A.2^-3 * A.1 * A.2^2 * A.1^-1 * A.2^-1 * A.1 * A.2^14 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^5 * A.2 * A.1^-3, A.2 * A.1^2 * A.2^-1 * A.1^3 * A.2^2 * A.1^-1 * A.2^2, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.1^-3 * A.2^2 * A.1^-9 * A.2^3 * A.1^-1 * A.2 * A.1^-1, A.2^20 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-2 * A.2^-1, A.1^-1 * A.2^2 * A.1^-1 * A.2^2 * A.1^-7 * A.2^2 * A.1^-2 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.1^-2 * A.2 * A.1^5 * A.2^-1 * A.1 * A.2 * A.1^-2 * A.2, A.2 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-2 * A.2^-1 * A.1 * A.2, A.1^-1 * A.2 * A.1^-2 * A.2^2 * A.1^-7 * A.2 * A.1^-2 * A.2^2 * A.1^-2 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1 * A.2^-1 * A.1^4 * A.2 * A.1^-1 * A.2^3, A.2^-1 * A.1^-1 * A.2^2 * A.1^3 * A.2^2 * A.1^-1 * A.2^-1 * A.1, A.2 * A.1^2 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1 * A.2 * A.1^-1, A.2^2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-2 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.2^2 * A.1^-1 ]

Chiral 3-polytope with group of order 2000   ISD  Type [ 20, 20 ]
[ (A.1^-1 * A.2^-1)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.2^-3)^2, A.1 * A.2^-2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-1, A.1^20, A.2^20 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 20, 100 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2^3 * A.1^-10 * A.2 * A.1^-1 * A.2^4 * A.1^-1, A.2^-2 * A.1^-1 * A.2^8 * A.1^2 * A.2^2 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 20, 100 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2 * A.1 * A.2^-1 * A.1^4 * A.2^3 * A.1^-1 * A.2, A.2^3 * A.1^-10 * A.2 * A.1^-1 * A.2^4 * A.1^-1, A.2^-3 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.2^5 * A.1^-2 * A.2^2 * A.1^-1 * A.2^-8 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 40, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.2^-6 * A.1^2 * A.2^-1 * A.1 * A.2 * A.1^-1 * A.2^-2 ]

Chiral 3-polytope with group of order 2000   NSD  Type [ 40, 50 ]
[ (A.1^-1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1, A.2 * A.1^6 * A.2 * A.1^-1 * A.2^2 * A.1^-1, A.1^-1 * A.2 * A.1 * A.2^-3 * A.1^2 * A.2^-6 ]


Rank 4
......

Chiral 4-polytope with group of order 120   NSD  Type [ 3, 4, 4 ]
[ A.1^3, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.3^-2 * A.2^2 * A.3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 120   PSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.2 * A.3^-2 * A.2^2 * A.3^-1, A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 162   NSD  Type [ 3, 6, 9 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.3^-1 * A.1)^3 ]

Chiral 4-polytope with group of order 192   NSD  Type [ 3, 3, 8 ]
[ A.1^3, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 240   NSD  Type [ 3, 4, 4 ]
[ A.1^3, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^2 * A.2^2 * A.1 ]

Chiral 4-polytope with group of order 240   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.3^-2 * A.2^2 * A.3^-1, A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 4-polytope with group of order 240   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2 ]

Chiral 4-polytope with group of order 324   NSD  Type [ 3, 6, 18 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^4 ]

Chiral 4-polytope with group of order 324   NSD  Type [ 6, 6, 9 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 324   PSD  Type [ 6, 9, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3^-3 * A.2 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 336   NSD  Type [ 3, 3, 6 ]
[ A.1^3, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^-2 * A.2 * A.3^-1 * A.2 * A.3^3 * A.2 ]

Chiral 4-polytope with group of order 336   PSD  Type [ 3, 6, 3 ]
[ A.1^3, A.2^6, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 336   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 384   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 384   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 384   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 384   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 384   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.3 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 400   ISD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.1 * A.3^-2 * A.2 * A.1^-1 * A.2^2 * A.3^2 * A.2 ]

Chiral 4-polytope with group of order 480   NSD  Type [ 3, 4, 4 ]
[ A.1^3, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^2 * A.2^2 * A.1 ]

Chiral 4-polytope with group of order 480   PSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, A.3^-1 * A.1^-1 * A.3 * A.1 * A.2^-1 * A.3^2 * A.2 ]

Chiral 4-polytope with group of order 480   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.3^-2 * A.2^2 * A.3^-1, A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 480   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, (A.2 * A.3^-2)^2 ]

Chiral 4-polytope with group of order 480   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.1^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 486   NSD  Type [ 3, 6, 9 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2^3 * A.3 ]

Chiral 4-polytope with group of order 486   NSD  Type [ 3, 6, 27 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^3 * A.1^-1 * A.3 * A.2 * A.1^2 * A.2 * A.3^5 ]

Chiral 4-polytope with group of order 486   NSD  Type [ 9, 6, 9 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^-1, A.1^-9 ]

Chiral 4-polytope with group of order 486   PSD  Type [ 9, 6, 9 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.3^-1 * A.1)^3 ]

Chiral 4-polytope with group of order 486   ISD  Type [ 9, 6, 9 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.2^3 * A.3^-1 ]

Chiral 4-polytope with group of order 504   PSD  Type [ 7, 7, 7 ]
[ A.1^7, A.2^7, A.3^7, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-3 * A.2^2 * A.1^-1, A.1 * A.3 * A.1^-2 * A.3 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 576   NSD  Type [ 3, 4, 6 ]
[ A.1^3, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 576   PSD  Type [ 3, 8, 3 ]
[ A.1^3, A.2^8, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.2^2 * A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 576   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 648   NSD  Type [ 3, 6, 36 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^4 * A.1^-1 * A.3 * A.1 * A.3 * A.1^-1 * A.3^2 * A.1 * A.3^4 ]

Chiral 4-polytope with group of order 648   NSD  Type [ 6, 6, 18 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-4 ]

Chiral 4-polytope with group of order 648   PSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 648   NSD  Type [ 9, 6, 12 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1^-1 * A.2^-3 * A.1^2 * A.2, A.3^12 ]

Chiral 4-polytope with group of order 672   PSD  Type [ 3, 6, 3 ]
[ A.1^3, A.2^6, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1, A.3^-1 * A.2^-2 * A.3 * A.2^3 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 3, 6, 6 ]
[ A.1^3, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2^-1 * A.3^2 * A.2 * A.1^-1 * A.3^3 * A.1 * A.3 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 3, 6, 6 ]
[ A.1^3, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1, (A.1 * A.2^-1 * A.3 * A.2^-1)^2 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 3, 6, 6 ]
[ A.1^3, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^2 * A.2 * A.3^-1 * A.1^-1 * A.3^3 * A.1, A.3 * A.2 * A.1^-2 * A.3 * A.2^-1 * A.3^-1 * A.1^2 * A.3 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2^-1 * A.1^2 * A.2 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 672   NSD  Type [ 6, 3, 6 ]
[ A.1^6, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.3^-2 * A.2 * A.3^-1 * A.2 * A.3^3 * A.2 ]

Chiral 4-polytope with group of order 672   PSD  Type [ 6, 3, 6 ]
[ A.1^6, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.3^-2 * A.1)^2, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1 ]

Chiral 4-polytope with group of order 720   NSD  Type [ 3, 4, 4 ]
[ A.1^3, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.1 ]

Chiral 4-polytope with group of order 720   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.1 * A.3^-1,
(A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 720   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.3^-1 * A.1^-1 * A.3^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 720   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3, A.3^-2 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 720   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^2 * A.2^-1 * A.3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.2^-1 * A.3^2 * A.1, (A.2 * A.3^-1 * A.2^2)^2 ]

Chiral 4-polytope with group of order 720   PSD  Type [ 8, 8, 8 ]
[ A.1^8, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-1 * A.1^3 * A.2 * A.1^-1 * A.2^-1, A.2^2 * A.3^-1 * A.1^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 3, 8 ]
[ A.1^3, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.3 * A.1^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 6, 4 ]
[ A.1^3, A.2^6, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3^-2 * A.2 * A.1 * A.3^2 * A.2, A.2^-1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.3 * A.1^-1 * A.3)^3, (A.3 * A.2^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.2^-2 * A.3^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.2^-2 * A.3^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-2 * A.1 * A.2^-1 * A.1 * A.3^2 * A.1^-1 * A.2,
A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.1 * A.3^-2 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.3^-1 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-1 * A.3^-1 * A.1^-1 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^2 * A.3^-1 * A.2^2 * A.3^3, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2 * A.1^-2 * A.3^-2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^2 * A.3^-1 * A.2^2 * A.3^3, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 8, 3, 12 ]
[ A.1^8, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.3^2 * A.2^-1)^2, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 768   NSD  Type [ 8, 3, 12 ]
[ A.1^8, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1^2)^2, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.2, A.3 * A.2 * A.3^-2 * A.2 * A.3^3 ]

Chiral 4-polytope with group of order 800   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.2^2 * A.3^-1 ]

Chiral 4-polytope with group of order 810   NSD  Type [ 3, 6, 45 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-8 * A.1 * A.3^-1 * A.1 * A.3^-1 * A.1 * A.3^-5 ]

Chiral 4-polytope with group of order 810   NSD  Type [ 9, 6, 15 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3^-15 ]

Chiral 4-polytope with group of order 864   NSD  Type [ 3, 8, 4 ]
[ A.1^3, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.2^-2 * A.3^-1, A.1^-1 * A.3 * A.2^-1 * A.3^-2 * A.1^-1 * A.3^2 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 3, 4, 8 ]
[ A.1^3, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 3, 8, 4 ]
[ A.1^3, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^2 * A.2^-1 * A.3, (A.1 * A.2^-3)^2 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, A.3^-1 * A.1^-1 * A.3 * A.1 * A.2^-1 * A.3^2 * A.2 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.3^-2 * A.2 * A.1^2 * A.3^2 * A.2 * A.1^-1 ]

Chiral 4-polytope with group of order 960   PSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3^-1 * A.1^-1 * A.3 * A.1 * A.2^-1 * A.3^2 * A.2 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, A.1^-1 * A.2^-1 * A.3 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, A.1^-1 * A.3^-3 * A.1^2 * A.3^3 * A.1^-1 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.1 * A.3^2 * A.2^-1)^2, (A.1 * A.3^-1)^4, A.1^-1 * A.3^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 960   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^2 * A.1^-2 * A.3 * A.2^-1 * A.3^-1 * A.1 * A.3^2 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 3, 6, 18 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.3 * A.1^-1 * A.3)^3, A.3^-1 * A.1 * A.3 * A.2^-2 * A.1^-1 * A.3^-1 * A.2 * A.3^-1 * A.2, A.1 * A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^4 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 3, 6, 18 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.3^-1 * A.2^2 * A.1^-1 * A.3^-1 * A.1 * A.3^-4 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 3, 6, 54 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^9 * A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^7 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 6, 9 ]
[ A.1^6, A.2^6, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2^3 * A.3, A.2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 6, 9 ]
[ A.1^6, A.2^6, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.2^3 * A.3^-1 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 6, 27 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-4 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-3 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 9, 6 ]
[ A.1^6, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1^-1 * A.3^-3 * A.1 * A.2^-1 * A.3^-1, (A.1^-2 * A.2)^3 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 9, 6 ]
[ A.1^6, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1^-1 * A.3^-3 * A.1 * A.2^-1 * A.3^-1, (A.1 * A.2^-1 * A.1 * A.3 * A.1)^2 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 9, 6 ]
[ A.1^6, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3^-3 * A.2 * A.1^-1 * A.3^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 9, 6 ]
[ A.1^6, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1)^2, (A.2 * A.3^-1 * A.2)^2, A.1^-1 * A.3^-3 * A.1 * A.2^-1 * A.3^-1, (A.1^-2 * A.2)^3 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 6, 9, 18 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1 ]

Chiral 4-polytope with group of order 972   PSD  Type [ 6, 27, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.3^-1 * A.2 * A.1 * A.3 * A.2 * A.1^-1 * A.2^-5 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 9, 6, 18 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-4 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 9, 6, 18 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3^18 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 9, 6, 18 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^4 ]

Chiral 4-polytope with group of order 972   NSD  Type [ 9, 6, 18 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, (A.3^-1 * A.1^-1 * A.3^-1)^3 ]

Chiral 4-polytope with group of order 1008   NSD  Type [ 3, 3, 6 ]
[ A.1^3, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3 * A.1 * A.3 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2^-1 * A.3^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1008   NSD  Type [ 3, 6, 3 ]
[ A.1^3, A.2^6, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^-2 * A.3 * A.2^3 * A.3^-1 * A.2, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1008   NSD  Type [ 7, 7, 14 ]
[ A.1^7, A.2^7, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-3 * A.2^2 * A.1^-1, A.3^2 * A.2^-2 * A.3 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1008   PSD  Type [ 7, 14, 7 ]
[ A.1^7, A.3^7, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^2 * A.1^-2 * A.2 * A.1^-1 * A.2, A.3^-1 * A.1 * A.2^-1 * A.1^2 * A.3^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1024   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3^-2 * A.2 * A.1^-1 * A.3^2 * A.1, A.1^-1 * A.3^-2 * A.2^-2 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1024   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1024   NSD  Type [ 4, 8, 4 ]
[ A.1^4, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.3^-2 * A.2^2 * A.3^2 * A.2, (A.1 * A.3 * A.1 * A.2^-1)^2, A.1 * A.3^-2 * A.1^-1 * A.2 * A.1^2 * A.3^2 * A.1^2 * A.2^-1, A.2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.3 * A.2^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1024   NSD  Type [ 4, 8, 4 ]
[ A.1^4, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3^-2 * A.2 * A.1^-1 * A.3^2 * A.1, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.1 * A.3 * A.1 * A.2^-1 * A.1^-2 * A.3^2 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1024   NSD  Type [ 4, 8, 32 ]
[ A.1^4, A.2^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2 * A.3^-1 * A.2^2 * A.3^-1 * A.2 * A.3^-1, A.3^-1 * A.1^-1 * A.3^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-5 ]

Chiral 4-polytope with group of order 1092   NSD  Type [ 3, 3, 6 ]
[ A.1^3, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3^2 * A.2 * A.3^-1 * A.1^-1 * A.3^3 * A.1 * A.3^2, A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^2 * A.2 * A.1 * A.3 * A.2^-1 * A.3^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1092   PSD  Type [ 3, 6, 3 ]
[ A.1^3, A.2^6, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.1^-1 * A.3^-1)^3 ]

Chiral 4-polytope with group of order 1134   NSD  Type [ 3, 6, 63 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-11 * A.1 * A.3^-1 * A.1 * A.3^-1 * A.1 * A.3^-8 ]

Chiral 4-polytope with group of order 1134   NSD  Type [ 9, 6, 21 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3^-21 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 4, 6 ]
[ A.1^3, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.2 * A.3^-1)^4, A.3^12 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2, A.3^2 * A.1^-1 * A.3 * A.1 * A.3 * A.2^-1 * A.3^-1 * A.2 * A.3 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.2^2 * A.3^-1 * A.2^2 * A.3^3, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 6, 24 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.3^2 * A.2^-1 * A.3)^2, (A.3 * A.1^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 6, 24 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2, (A.3 * A.1^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 8, 6 ]
[ A.1^3, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2 * A.3^-3 * A.2^2 * A.3^3 * A.2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 8, 6 ]
[ A.1^3, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.2^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 8, 6 ]
[ A.1^3, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.3^-1 * A.1^-1 * A.2 * A.3^-1 * A.2 * A.1 * A.2^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3^-1 * A.1 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 3, 8, 6 ]
[ A.1^3, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.3^-1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.2^2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 4, 3, 12 ]
[ A.1^4, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.1 * A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2 * A.1^-2 * A.2^-1 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1152   NSD  Type [ 6, 4, 6 ]
[ A.1^6, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1200   NSD  Type [ 3, 4, 20 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3, A.3^2 * A.2 * A.3^-2 * A.2^-1 * A.3 * A.2^2 * A.3^5 ]

Chiral 4-polytope with group of order 1200   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.2^-1 * A.3 * A.1 * A.2^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3, A.3^-2 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1200   NSD  Type [ 4, 4, 15 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-2)^2, A.3^-1 * A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-3 ]

Chiral 4-polytope with group of order 1200   ISD  Type [ 4, 12, 4 ]
[ A.1^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3^-1 * A.1^-1 * A.2 * A.3^-1 * A.1^2 * A.2^-1 * A.3^2 * A.1, A.2 * A.1 * A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 ]

Chiral 4-polytope with group of order 1250   NSD  Type [ 5, 10, 25 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3^-2 * A.1^-2 * A.3^-2 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1250   NSD  Type [ 5, 10, 25 ]
[ A.1^5, A.2^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.3^-2 * A.2 * A.1^-1 * A.3^2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 3, 6, 72 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^12 * A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^10 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 3, 12, 18 ]
[ A.1^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.1^-1 * A.2)^3, (A.3 * A.1^-1 * A.3)^3, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.3^-1 * A.1 * A.2^-3 * A.1 * A.3^-2 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 6, 36 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^4 * A.1^-1 * A.3 * A.1 * A.3 * A.2 * A.3^-5 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 9, 6 ]
[ A.1^6, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^-1 * A.2 * A.1^3 * A.2^-1, (A.2 * A.3^-1 * A.2)^2, A.1^-1 * A.3^-3 * A.2 * A.3^-1 * A.1^-1 * A.3^3 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 9, 12 ]
[ A.1^6, A.2^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1^3 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3 * A.2^-1 * A.3^2 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3, A.3^-4 * A.2 * A.1^-1 * A.3^-3 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 12, 9 ]
[ A.1^6, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1^-2 * A.3)^3 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 12, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2 * A.1 * A.2^-1 * A.1 * A.2^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, (A.1 * A.3^2 * A.2^-1)^2, A.3^-2 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 6, 18, 12 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.3 * A.1 * A.3 * A.1^2 * A.3 * A.1 * A.3, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-4 ]

Chiral 4-polytope with group of order 1296   PSD  Type [ 6, 36, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.2^-1 * A.3 * A.1^-1 * A.3 * A.1 * A.3 * A.2 * A.1^-1 * A.2^-3 * A.3 * A.1 * A.2^-3 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 9, 6, 24 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1^-1 * A.2^-3 * A.1^2 * A.2, A.3^24 ]

Chiral 4-polytope with group of order 1296   NSD  Type [ 12, 6, 18 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-4, A.1^12 ]

Chiral 4-polytope with group of order 1320   NSD  Type [ 3, 5, 10 ]
[ A.1^3, A.2^5, A.3^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1320   NSD  Type [ 3, 5, 10 ]
[ A.1^3, A.2^5, A.3^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1320   NSD  Type [ 4, 3, 5 ]
[ A.1^4, A.2^3, A.3^5, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.3 * A.2 * A.1^-2 * A.3 * A.2^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1320   NSD  Type [ 5, 5, 10 ]
[ A.1^5, A.2^5, A.3^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^2 * A.3^-1 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1320   NSD  Type [ 5, 5, 10 ]
[ A.1^5, A.2^5, A.3^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-2 * A.1^-2 * A.2^-1 * A.3^-1 * A.1^-1 * A.2^-1, A.2^2 * A.3^-1 * A.2 * A.1^-1 * A.3^2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1320   PSD  Type [ 5, 10, 5 ]
[ A.1^5, A.2^10, A.3^5, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.3^-1 * A.1)^3, A.1 * A.3 * A.2^-1 * A.1^2 * A.3^2 * A.2^-1 ]

Chiral 4-polytope with group of order 1320   PSD  Type [ 5, 10, 5 ]
[ A.1^5, A.2^10, A.3^5, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, A.3^-1 * A.1 * A.3 * A.2^2 * A.3^-1 * A.1^-1 * A.3^-1, (A.1^-2 * A.3)^3 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 3, 6, 6 ]
[ A.1^3, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1, A.3^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.3 * A.1 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 3, 6, 12 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.2^-1 * A.3 * A.1^-1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, A.3 * A.2^2 * A.3^-1 * A.2^2 * A.3^4, A.3 * A.2 * A.3^-2 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3^2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 3, 6, 12 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1,
(A.1 * A.3^-1)^4, A.3 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.2^-1 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 3, 6, 12 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1,
(A.1 * A.2^-1 * A.3 * A.2^-1)^2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 3, 12, 6 ]
[ A.1^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3^2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3 * A.2 * A.1^-2 * A.3 * A.2^-1 * A.3^-1 * A.1^2 * A.3 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 4, 6, 12 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2 * A.3^-1, A.3 * A.2 * A.1^-2 * A.3 * A.2^-1 * A.3^-1 * A.1^2 * A.3, A.3^-2 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 4, 6, 12 ]
[ A.1^4, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2, A.3^-1 * A.1 * A.2^-1 * A.3 * A.1^-1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, A.3 * A.2^2 * A.3^-1 * A.2^2 * A.3^4 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1)^4, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2^-1 * A.1^2 * A.2 * A.3^-1 * A.2, (A.1 * A.2^-1)^4 ]

Chiral 4-polytope with group of order 1344   PSD  Type [ 6, 3, 6 ]
[ A.1^6, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1, A.3^-2 * A.2 * A.3^-1 * A.2 * A.3^3 * A.2, A.3^-1 * A.1^-1 * A.3 * A.2 * A.1^-2 * A.3^3 * A.1^3 * A.3^-1 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^-2 * A.2 * A.1^3 * A.2^-1 * A.1, (A.2 * A.3^-3)^2, A.3 * A.1 * A.3 * A.2^-1 * A.1^2 * A.3 * A.2^-1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 6, 3, 12 ]
[ A.1^6, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1^2 * A.2^-1 * A.1^3 * A.2^-1 * A.1, (A.1 * A.3^2 * A.2^-1)^2 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2^-1 * A.3^2 * A.2 * A.1^-1 * A.3^3 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1344   NSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.3 * A.2^-1 * A.1 * A.3)^2, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1 * A.2^-1, A.2^-1 * A.3 * A.2^-1 * A.1^-2 * A.2^-1 * A.3 * A.2^-1 * A.1 ]

Chiral 4-polytope with group of order 1344   PSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.3 * A.2^-1)^2, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1344   PSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^3 * A.1 * A.2^-1 ]

Chiral 4-polytope with group of order 1344   PSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3^-2 * A.1)^2, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1344   PSD  Type [ 6, 6, 6 ]
[ A.1^6, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-1 * A.1^-3 * A.2^-1 * A.1^2 * A.2, A.3^-2 * A.2 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1, A.3 * A.1^-1 * A.3 * A.1^-2 * A.3 * A.2^-1 * A.3^-1 * A.1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 3, 10 ]
[ A.1^3, A.2^3, A.3^10, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-2 * A.2 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 3, 12 ]
[ A.1^3, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-2 * A.2 * A.1 * A.3^-3 * A.1^-1, A.3^12 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 4, 4 ]
[ A.1^3, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3 * A.2^-1 * A.3^-2 * A.2^-2 * A.3^2 * A.2^2 * A.3, A.1 * A.3 * A.2 * A.1^-1 * A.3^-2 * A.1^2 * A.2^-1 * A.3^2 * A.2^-1 * A.3 * A.2^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.3^-1 * A.1^-1 * A.2^2 * A.3^-2, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 4, 12 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3, A.3^12 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^2 * A.2^-1 * A.3, (A.2 * A.3^-1 * A.2^2)^2, (A.2 * A.1^-1 * A.2)^3 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1, (A.3^-1 * A.2)^3 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 5 ]
[ A.1^4, A.2^4, A.3^5, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1, A.3 * A.2^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.1^2 * A.2^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-2)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1, (A.1^-1 * A.3^-1)^4, A.1^-1 * A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1, (A.2 * A.1^-1 * A.3^-1)^3 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2^-1 * A.1)^3, (A.1 * A.3^-1)^4, A.1^-1 * A.3^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^2 * A.2^-1 * A.3 * A.2^-1 * A.3 * A.2^-1 * A.3^-1 * A.2 * A.3 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1, A.2 * A.1^-2 * A.3^-2 * A.1^-1 * A.2^-1 * A.1 * A.3^-2, A.3^-1 * A.2^-1 * A.3 * A.2 * A.3^-1 * A.1^-1 * A.3^-2 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1440   PSD  Type [ 4, 12, 4 ]
[ A.1^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-2 * A.3^-2 * A.1^2 * A.3^2 * A.1^2 * A.3^-1, (A.1 * A.2^-3)^2, A.1 * A.2^-1 * A.3^-2 * A.2^-1 * A.1 * A.2^-1 * A.3^2 * A.2^-1, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-3 * A.1^2 * A.3^3 * A.1^-1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, A.2 * A.3^-3 * A.2^2 * A.3^3 * A.2, A.1^-1 * A.3^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-3)^2, (A.1 * A.3 * A.2^-2)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 6, 4, 12 ]
[ A.1^6, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^-1 * A.3 * A.2 * A.3^-1 * A.1^-1 * A.2^2 * A.3^2, A.3^-2 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 6, 4, 12 ]
[ A.1^6, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.3^-1 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.2^2 * A.3^-2 * A.1^-1 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 6, 4, 12 ]
[ A.1^6, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^2 * A.2^2 * A.1 * A.3^-1, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1440   NSD  Type [ 8, 8, 8 ]
[ A.1^8, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-2 * A.1^3 * A.2^-1 * A.1 * A.2^-1, A.2 * A.3^-1 * A.2^3 * A.3^-3, A.1 * A.3 * A.2^3 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 3, 6, 27 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.3^3 * A.2^-2 * A.3 * A.2^2 * A.3^5 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 3, 6, 81 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-14 * A.1 * A.3^-1 * A.1 * A.3^-1 * A.1 * A.3^-11 ]

Chiral 4-polytope with group of order 1458   PSD  Type [ 3, 18, 3 ]
[ A.1^3, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.1^-1 * A.2)^3, A.1 * A.3 * A.1 * A.2^-2 * A.1 * A.3 * A.2^-2 * A.3, A.3^-1 * A.1 * A.2^-5 * A.1^-1 * A.3^-1 * A.2^4 * A.1^-1 * A.2^-1 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 3, 18, 9 ]
[ A.1^3, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.1^-1 * A.2)^3, A.1 * A.3 * A.1 * A.2^-2 * A.1 * A.3^2 * A.2^-2 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 9, 6, 9 ]
[ A.1^9, A.2^6, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3 * A.2^3 * A.3^-1 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 9, 6, 27 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-4 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-3 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 9, 6, 27 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3^-27 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 9, 6, 27 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, A.3^3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3 * A.1 * A.3^4 ]

Chiral 4-polytope with group of order 1458   NSD  Type [ 9, 6, 27 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, A.3^-5 * A.2 * A.1^-1 * A.3^2 * A.1 * A.2^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1458   PSD  Type [ 9, 18, 9 ]
[ A.1^9, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.3^-1 * A.1)^3, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3 * A.2^-1 * A.3^-1, A.2 * A.1^-4 * A.2 * A.1^-1 * A.2^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 3, 16 ]
[ A.1^3, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3^5 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-2 * A.1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 3, 16 ]
[ A.1^3, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.3 * A.1^-1 * A.3)^3, A.3^-1 * A.2 * A.3^-1 * A.1 * A.3^2 * A.2 * A.1 * A.3^2 * A.1 * A.2^-1 * A.3^-1 * A.1^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 4 ]
[ A.1^3, A.2^6, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.3^-2 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3, A.2^-1 * A.3^-2 * A.2^2 * A.1^-1 * A.3^2 * A.1 * A.2^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 4 ]
[ A.1^3, A.2^6, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3^-2 * A.2 * A.1 * A.3^2 * A.2, (A.2 * A.3^-1 * A.2)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2 * A.3^-1 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.1^-1 * A.3 * A.2^-2 * A.3 * A.2 * A.1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-1)^4, A.2 * A.3^-1 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, (A.1 * A.2^-2)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.3 * A.1^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1,
A.2^2 * A.3^-1 * A.2^2 * A.3^3, (A.1 * A.2^-2)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.2^-1 * A.3 * A.1^-1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, (A.3^-1 * A.1^-1 * A.3^-1)^3, A.3 * A.2^-1 * A.3^2 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 8 ]
[ A.1^3, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 6, 16 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2 * A.3^-1 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1, A.3 * A.1 * A.3 * A.1 * A.3 * A.1^-1 * A.2^2 * A.3^5 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 8, 4 ]
[ A.1^3, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1)^4, A.1^-1 * A.3^-1 * A.1^-1 * A.2 * A.1^-1 * A.3^2 * A.1^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-3)^2, A.3^-1 * A.1^-1 * A.2^2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2^2, A.2 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.1^-1 * A.3^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.1 * A.3^-2 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-2 * A.1 * A.2^-1 * A.1 * A.3^2 * A.1^-1 * A.2,
A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.3 * A.2^-1 * A.3^-2 * A.2^2 * A.3^2 * A.2 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2 * A.1 * A.3^-2 * A.2^-1 * A.1 * A.3 * A.1^-1 * A.3, A.2^-2 * A.1 * A.2^-1 * A.3^-2 * A.1^2 * A.3^-1 * A.1^-1 * A.2^-1 * A.3, A.2 * A.3^-1 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 4 ]
[ A.1^3, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.3^2 * A.2^-1 * A.3, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.3^-2 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.1 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-2 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.3 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.2 * A.3^-2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2, A.3 * A.1^-1 * A.3 * A.2 * A.1^-1 * A.2 * A.3^-2 * A.1^-1, (A.1 * A.2^-1 * A.3 * A.2^-2)^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-3)^2, A.3^-2 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-3)^2, A.1^-1 * A.3^-2 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.3^-1 * A.1^-1 * A.3^-1)^3, A.2 * A.3^-2 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, (A.3 * A.1^-1 * A.3)^3, A.3^-2 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 3, 12, 8 ]
[ A.1^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.1^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-2, A.3 * A.2^-1 * A.3^2 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^3 * A.1^2 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 3, 12 ]
[ A.1^4, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-2 * A.2 * A.1 * A.3^-3 * A.1^-1, A.2 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 3, 12 ]
[ A.1^4, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.3 * A.1^-2 * A.3 * A.2 * A.1 * A.3^-2 * A.1, (A.1 * A.3 * A.2^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-2)^2, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.1^-1 * A.2^2 * A.1 * A.2^-1 * A.1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.1 * A.2, A.3^-1 * A.1 * A.3 * A.2^2 * A.3^-1 * A.1^-1 * A.3^-1, A.2 * A.3^-2 * A.2 * A.1^2 * A.3^3 * A.1^2 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2, A.3^-1 * A.2 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 6, 6 ]
[ A.1^4, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-2)^2, A.3^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.3^-1 * A.1^2 * A.3^-1, A.1^-1 * A.2^-3 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.1^-1 * A.3^-3 * A.1^2 * A.3^3 * A.1^-1, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-1 * A.2 * A.1^-1 * A.2 * A.1 * A.3^-1 * A.1^2 * A.3^-1, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 24, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 24, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3, A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.3 * A.2^3 * A.1 * A.3^-1 * A.2 * A.1^-1, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 24, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.1 * A.2^-1)^2, A.2^-2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2, A.3^2 * A.1^-1 * A.2 * A.1^-1 * A.3 * A.1^2 * A.3 * A.2^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 4, 24, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.1 * A.2^-1)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-1)^4, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-3)^2, A.3 * A.1 * A.3 * A.1^-2 * A.2^-1 * A.3^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, (A.1 * A.2^-1 * A.1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.3 * A.1^-1 * A.3^2 * A.1^2 * A.3^2 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 3, 8 ]
[ A.1^6, A.2^3, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, (A.3^-1 * A.1^-1 * A.3^-1)^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.2^2 * A.3^-1 * A.2^2 * A.3^3, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^-1 * A.1 * A.2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2, (A.1 * A.3 * A.2^-1 * A.1)^2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3 * A.1^-1 * A.3^2 * A.1^2 * A.3^2 * A.1^-1 * A.3, (A.3 * A.2^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-3)^2, A.3^-1 * A.1 * A.2^-1 * A.3 * A.1^-1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-3)^2, A.3^-1 * A.1 * A.2^-1 * A.3 * A.1^-1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, A.2 * A.3^-1 * A.2 * A.1^-2 * A.3^2 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 6, 8 ]
[ A.1^6, A.2^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.3 * A.1^-1 * A.3)^3, (A.3 * A.2^-1 * A.3)^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 8, 8 ]
[ A.1^6, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, (A.2 * A.3^-2 * A.2)^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 8, 8 ]
[ A.1^6, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2 * A.3^-2 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 8, 8 ]
[ A.1^6, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.2 * A.3^-2 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3^-1, A.1 * A.3 * A.2^-1 * A.1^-2 * A.2^-2 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 8, 8 ]
[ A.1^6, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-2 * A.2)^2, A.1 * A.3 * A.2 * A.3^-1 * A.2^-1 * A.3 * A.1^-1 * A.3, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2^-1 * A.1^-2 * A.2^-2 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3 * A.2^3 * A.1 * A.3^-1 * A.2 * A.1^-1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.1^-1 * A.3^-1)^4, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^2 * A.3^-1 * A.2^2 * A.3^3, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.2 * A.3^-3)^2, A.3^-1 * A.1^-1 * A.3 * A.2 * A.1^2 * A.3 * A.2^-1 * A.3^-1 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, (A.2 * A.3^-3)^2, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.3 * A.2^3 * A.1 * A.3^-1 * A.2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.3^-2 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.1)^2, A.2^-1 * A.1^-1 * A.2 * A.1^2 * A.2 * A.1^-1 * A.2^-1, A.2^2 * A.3^-1 * A.2^2 * A.3^3, A.2 * A.3^-1 * A.1 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^-2, A.3 * A.1 * A.3 * A.1^-2 * A.3 * A.1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-3)^2, A.3 * A.1 * A.3 * A.1^-2 * A.3 * A.1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^2 * A.3^-1 * A.2^2 * A.3^3, A.3 * A.1 * A.3 * A.1^-2 * A.3 * A.1 * A.3 * A.1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-3)^2, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.2^2 * A.3^-1 * A.2^2 * A.3^3, A.1 * A.3 * A.2^-1 * A.1^-2 * A.3 * A.2^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.3^-1 * A.1 * A.2^-2 * A.1 * A.3^-1 * A.2^2, (A.2 * A.3^-3)^2, A.2 * A.3^-1 * A.2 * A.1^-2 * A.3^-2 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 6, 12, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, (A.2 * A.3^-3)^2, A.2 * A.3^-1 * A.2 * A.1^-2 * A.3^2 * A.1^-1 * A.3, A.3 * A.2^-1 * A.3 * A.1^-2 * A.3 * A.2^-1 * A.3 * A.1, A.1^-1 * A.3^-2 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.2^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 3, 12 ]
[ A.1^8, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.3^2 * A.2^-1)^2, A.3 * A.2 * A.3^-2 * A.2 * A.3^3, (A.1^-2 * A.2)^3, (A.1^-2 * A.3)^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.2, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^3 * A.2^2 * A.1^-1, A.1^-1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1^-1, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^3 * A.2^2 * A.1^-1, (A.1 * A.3^2 * A.2^-1)^2, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^3 * A.2^2 * A.1^-1, A.1^-1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1^-1, A.3 * A.2 * A.3^-2 * A.2 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.3^2 * A.2^-1)^2, (A.1^-1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.2, A.3 * A.2 * A.3^-2 * A.2 * A.3^3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^3 * A.2^2 * A.1^-1, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1, A.3 * A.2 * A.1 * A.2^-1 * A.1^2 * A.2^-1 * A.3^-1 * A.1^-1 * A.2^-1 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1, A.2^2 * A.1 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-1 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.3^2 * A.2^-1)^2, A.3 * A.2 * A.3^-2 * A.2 * A.3^3, A.3 * A.2^-2 * A.1^-2 * A.2^-1 * A.3^-1 * A.1^2 ]

Chiral 4-polytope with group of order 1536   NSD  Type [ 8, 6, 12 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.2^-1 * A.1^2)^2, (A.1 * A.3^2 * A.2^-1)^2, A.3 * A.2 * A.3^-2 * A.2 * A.3^3, A.3^-2 * A.2 * A.1^-2 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 ]

Chiral 4-polytope with group of order 1600   ISD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-2 * A.2^-2 * A.1^2 * A.3^-1 * A.1^-1 * A.3^-1, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, A.2^-1 * A.3 * A.2^-1 * A.3^-2 * A.2^-2 * A.3^2 * A.2^2 * A.3 ]

Chiral 4-polytope with group of order 1600   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.1 * A.2^-1 * A.1^-2 * A.2^2 * A.1, A.3 * A.2^-1 * A.3 * A.1 * A.2^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1620   NSD  Type [ 3, 6, 90 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^15 * A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^13 ]

Chiral 4-polytope with group of order 1620   NSD  Type [ 6, 6, 45 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-8 * A.1 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3^-6 ]

Chiral 4-polytope with group of order 1620   PSD  Type [ 6, 45, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.2^2 * A.1 * A.2^-2 * A.3 * A.1 * A.2^-1 * A.3 * A.2^2 * A.1 * A.2^-2 * A.3^-1 * A.1 * A.3^-1 * A.2^2 ]

Chiral 4-polytope with group of order 1620   NSD  Type [ 9, 6, 30 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1^-1 * A.2^-3 * A.1^2 * A.2, A.3^30 ]

Chiral 4-polytope with group of order 1620   NSD  Type [ 15, 6, 18 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-4, A.1^-15 ]

Chiral 4-polytope with group of order 1680   NSD  Type [ 3, 4, 28 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3, A.3^5 * A.1^-1 * A.3^2 * A.1 * A.2^-1 * A.3^-1 * A.2 * A.3^6 ]

Chiral 4-polytope with group of order 1680   NSD  Type [ 3, 6, 15 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2^-2 * A.1 * A.2^-1 * A.1 * A.2^3 * A.1,
A.3^-1 * A.2 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.1^-1 * A.3^-1, A.1^-1 * A.3^-1 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1 ]

Chiral 4-polytope with group of order 1680   NSD  Type [ 4, 4, 21 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-2)^2, A.3^-2 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-3 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 4, 18 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.2 * A.3^-1)^4, A.3^18 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 6, 6 ]
[ A.1^3, A.2^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1)^4, A.3^2 * A.2 * A.3^-1 * A.1^-1 * A.2 * A.3^3 * A.1^-1 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 8, 4 ]
[ A.1^3, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.1^-1 * A.3 * A.2^-1 * A.3^-2 * A.1^-1 * A.3^2 * A.2 * A.3^-1, A.1 * A.3 * A.1 * A.2^-2 * A.1 * A.3^2 * A.2^-2 * A.3, A.3^-1 * A.2^-3 * A.3 * A.2^2 * A.1^-1 * A.3 * A.1 * A.3 * A.2 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 8, 9 ]
[ A.1^3, A.2^8, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.3^-1 * A.1 * A.3 * A.2 * A.1 * A.2^-1 * A.1 * A.3 * A.2^-1 * A.3 * A.1 * A.2^-1 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 12, 6 ]
[ A.1^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2^2)^2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2 * A.3^-3 * A.2^2 * A.3^3 * A.2, (A.2 * A.1^-1 * A.2)^3, A.2 * A.1 * A.2^-3 * A.1 * A.2^4 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 3, 12, 6 ]
[ A.1^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2^-1 * A.3^-3 * A.2 * A.1^-1 * A.3^3 * A.1, (A.2 * A.1^-1 * A.2)^3, A.3^2 * A.2 * A.3^-1 * A.1^-1 * A.2 * A.3^3 * A.1^-1, A.2 * A.1 * A.2^-3 * A.1 * A.2^4 ]

Chiral 4-polytope with group of order 1728   PSD  Type [ 3, 24, 3 ]
[ A.1^3, A.3^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1 * A.2^-3 * A.1 * A.2^4, A.3^-1 * A.1 * A.2^-3 * A.1 * A.3^-1 * A.2^3, A.3^-1 * A.2 * A.1 * A.3 * A.2^-2 * A.1 * A.2^-1 * A.3^-1 * A.1^-1 * A.2^2 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 4, 3, 6 ]
[ A.1^4, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, A.1 * A.3^-3 * A.1^-1 * A.2 * A.1^2 * A.3^3 * A.1^2 * A.2^-1, (A.1^-1 * A.3^-2 * A.2 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 4, 8, 6 ]
[ A.1^4, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^2 * A.3, (A.2 * A.3^-1 * A.2^2)^2, A.2 * A.1^-2 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.1 * A.2^-1 * A.3, A.2^-2 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^2 * A.3 * A.2^-1 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 4, 9, 6 ]
[ A.1^4, A.2^9, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 6, 3, 12 ]
[ A.1^6, A.2^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.1 * A.2^-1)^2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-2 * A.3, (A.3 * A.2^-1 * A.3)^3, A.3 * A.2 * A.3^-3 * A.2 * A.3^4 ]

Chiral 4-polytope with group of order 1728   NSD  Type [ 6, 4, 9 ]
[ A.1^6, A.2^4, A.3^9, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.1^3 * A.2^2 * A.1^-2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1 ]

Chiral 4-polytope with group of order 1782   NSD  Type [ 3, 6, 99 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^-17 * A.1^-1 * A.3^-2 * A.1^-1 * A.3^-2 * A.1^-1 * A.3^-12 ]

Chiral 4-polytope with group of order 1782   NSD  Type [ 9, 6, 33 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3^-33 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 4, 8 ]
[ A.1^3, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.1 * A.2^-1 * A.1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1, A.1 * A.3^-4 * A.2 * A.1 * A.3^4 * A.2, A.2 * A.3^-1 * A.2^-1 * A.3 * A.2 * A.3^-1 * A.2^2 * A.3 * A.2^-1 * A.3^-2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 4, 16 ]
[ A.1^3, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3, A.3^16 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 6, 12 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1 * A.3 * A.2^-1)^2, A.1^-1 * A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1 * A.3, A.1^-1 * A.3^-3 * A.2 * A.1 * A.3^-2 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 6, 12 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.3^-1 * A.2)^3, A.1^-1 * A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^2 * A.1^-1 * A.3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 6, 40 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2 * A.3^-1 * A.1 * A.3 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.3^-1, A.3^5 * A.2 * A.1^-1 * A.3^-2 * A.1 * A.3^-1 * A.2 * A.3^2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 6, 40 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2, A.1^-1 * A.3 * A.2^-2 * A.3 * A.2 * A.1 * A.2^-1 * A.3^-1 * A.2^2 * A.3^-1, A.3^-1 * A.1 * A.3^-2 * A.2^2 * A.3^-1 * A.1^-1 * A.3^-6 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 8, 4 ]
[ A.1^3, A.2^8, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3 * A.2 * A.1^-1 * A.2 * A.1^-1 * A.3 * A.2^-2 * A.1, A.2^-2 * A.3^-2 * A.2^2 * A.1^-1 * A.3^2 * A.1 * A.3 * A.2^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, (A.2 * A.3^-3)^2, A.3^-2 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 3, 8, 8 ]
[ A.1^3, A.2^8, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, (A.1 * A.2^-1 * A.3 * A.2^-1)^2, A.3^-1 * A.1 * A.3 * A.2^2 * A.3^-1 * A.1^-1 * A.3^-1, A.3^-1 * A.2 * A.3^-1 * A.2^3 * A.3^-3 * A.2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-1 * A.3^-2 * A.2^-1 * A.1 * A.2^-1 * A.3^2 * A.2^-1, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, A.1^-1 * A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-1 * A.3 * A.1 * A.2^-1 * A.3^2 * A.2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, A.1 * A.2^-1 * A.1 * A.3^-2 * A.1^-1 * A.2^2 * A.1 * A.3^2 * A.2 ]

Chiral 4-polytope with group of order 1920   PSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2 ]

Chiral 4-polytope with group of order 1920   PSD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-2 * A.2 * A.1^2 * A.3^2 * A.2 * A.1^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-3 * A.1^2 * A.3^3 * A.1^-1, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2, A.1^-1 * A.2^-1 * A.3 * A.2^-1 * A.1^-2 * A.2^2 * A.1^-1 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1 * A.3^-3 * A.2 * A.1 * A.3^3 * A.2, A.2 * A.3^-1 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^2 * A.3^2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.1 * A.2^-1 * A.3 * A.2^-1 * A.1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1 * A.3^-1 * A.1^-2 * A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.3^-1, A.2 * A.1^-2 * A.3^-2 * A.1^-1 * A.2^-1 * A.1 * A.3^-2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 8 ]
[ A.1^4, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.1^-1 * A.2^-2 * A.1^2 * A.2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1^-2 * A.3^2 * A.1^-1 * A.2^-1 * A.3^-1 * A.1 * A.3^-1, A.3^-1 * A.2^-1 * A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^-1 * A.1 * A.3^-1 * A.2 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3^2 * A.2^-1)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, (A.1 * A.3^-1)^4, (A.2 * A.3^-1)^4, A.3 * A.2 * A.3^-2 * A.2 * A.3^3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2 * A.1^-1 * A.2^-2 * A.1^-2 * A.2^2 * A.1^2 * A.2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.1 * A.3^2 * A.2^-1)^2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 12 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.3^-1, A.3^2 * A.1^-2 * A.3^3 * A.1^2 * A.3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 24 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.1 * A.3^2 * A.2^-1)^2, A.3^-1 * A.2^-1 * A.3 * A.1^-1 * A.2 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-1 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 4, 24 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-2)^2, A.3^2 * A.2 * A.1^-1 * A.2^-1 * A.3 * A.2^-2 * A.1 * A.3^5 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 8, 6 ]
[ A.1^4, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.3^-3 * A.1^2 * A.3^3 * A.1^-1, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, A.3^2 * A.2^2 * A.1^-1 * A.3^-2 * A.1, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 4, 8, 6 ]
[ A.1^4, A.2^8, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-3)^2, (A.2 * A.3^-1 * A.2^2)^2, (A.1 * A.3^-1)^4 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 5, 3, 6 ]
[ A.1^5, A.2^3, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2 * A.1^-1 * A.3 * A.1, (A.1^-1 * A.3^-2)^3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 6, 4, 8 ]
[ A.1^6, A.2^4, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-1 * A.1)^2, A.1^-1 * A.2^-1 * A.3 * A.2 * A.3^-1 * A.1^-1 * A.2^2 * A.3^2 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 6, 15, 8 ]
[ A.1^6, A.3^8, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, (A.1 * A.3 * A.2^-1 * A.1)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.1^-2 * A.2 * A.1^-2 * A.2^4 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 8, 6, 15 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.2, A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1920   NSD  Type [ 8, 6, 15 ]
[ A.1^8, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, (A.1 * A.2^-1 * A.1^2)^2, A.2^2 * A.1^3 * A.2^2 * A.1^-1, A.3^-1 * A.1^-1 * A.2 * A.1^2 * A.3^-1 * A.1^-1 * A.2, A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^2 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 3, 6, 36 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.1 * A.3 * A.2^-2 * A.1^-1 * A.3^-1 * A.2 * A.3^-1 * A.2, A.3 * A.2 * A.3^-2 * A.2 * A.1 * A.3^-3 * A.1^-1, A.3^2 * A.1^-1 * A.2 * A.3^-4 * A.1 * A.3^-5 * A.1 * A.2^-1 * A.3 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 3, 6, 36 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.3 * A.2 * A.3^-3 * A.2 * A.1^-1 * A.3^2 * A.1 * A.3^6 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 3, 6, 108 ]
[ A.1^3, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^18 * A.1^-1 * A.3 * A.1^-1 * A.3 * A.1^-1 * A.3^16 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 4, 4, 6 ]
[ A.1^4, A.2^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2^-1 * A.1)^3, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2^2)^2, A.3 * A.1 * A.3 * A.2^2 * A.3^2 * A.1^-1, (A.2 * A.3^-1 * A.1^-1 * A.3^-1)^2 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2^2)^2, A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^2 * A.1, A.1 * A.3 * A.2^2 * A.1^-1 * A.2^-1 * A.3^3 * A.2^-1 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 4, 12, 6 ]
[ A.1^4, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.2^-1 * A.1)^3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2^2)^2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, (A.2 * A.3^-2 * A.2)^2 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 4, 12 ]
[ A.1^6, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-2 * A.1^2 * A.2^2 * A.1, (A.3^-1 * A.2)^3, (A.1 * A.3^-2 * A.1)^2 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 6, 18 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3 * A.1^-1 * A.3^2 * A.1^2 * A.3^2 * A.1^-1 * A.3, A.3^-1 * A.1 * A.3 * A.2^-2 * A.1^-1 * A.3^-1 * A.2 * A.3^-1 * A.2, A.1 * A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^4 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 6, 18 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.2 * A.1 * A.2^-1 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.3^-4 * A.2^-2 * A.3^-1 * A.2^2 * A.3^-1 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 6, 18 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.3^-1 * A.2^2 * A.1^-1 * A.3^-1 * A.1 * A.3^-4 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 6, 54 ]
[ A.1^6, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3^9 * A.1 * A.2^-1 * A.1 * A.3^-1 * A.2 * A.3^8 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, A.2^-1 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2^-1 * A.1 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, (A.1 * A.2^-1 * A.1 * A.3 * A.1)^2 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.3^-1 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-2 * A.2, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.3^-1 * A.1^-2 * A.3 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.3 * A.2^-1)^2, (A.2 * A.3^-1 * A.2)^2, A.2 * A.1 * A.2^-2 * A.1 * A.2^3, A.1^-1 * A.2^2 * A.1^-2 * A.3^3 * A.1 * A.3, A.2 * A.1^2 * A.2^-1 * A.1^2 * A.2 * A.1^-1 * A.2 * A.1^-1 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.1 * A.3^-3 * A.1^2 * A.3^3 * A.1, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2^-1 * A.1^2 * A.2^-1 * A.1^-2 * A.2^-4 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 6, 18, 18 ]
[ A.1^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.3 * A.2^2 * A.1 * A.2^-1 * A.3^-1 * A.2, A.3 * A.2 * A.3^-1 * A.2 * A.1 * A.3^-2 * A.1^-1, A.2^-4 * A.1^-2 * A.2^-1 * A.1^2 * A.2^-1 ]

Chiral 4-polytope with group of order 1944   PSD  Type [ 6, 54, 6 ]
[ A.1^6, A.3^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-2)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-1 * A.2)^2, A.1 * A.3 * A.2 * A.1^2 * A.2^-1 * A.3^-1 * A.1, A.3^-1 * A.1 * A.3^-1 * A.1^2 * A.3^-1 * A.1 * A.3^-1, A.2^-2 * A.3 * A.1^-1 * A.3^-1 * A.2^4 * A.1^-3 * A.2^-3 * A.3^-1 * A.1 * A.2^-5 * A.3^-1 * A.1 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 12 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, A.3 * A.2 * A.3^-1 * A.2 * A.1^-1 * A.3^-2 * A.1, A.3^12 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 12 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1 * A.2^-3 * A.1^-2 * A.2^-1, (A.2 * A.3^-2)^2, A.3^12 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 36 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.3 * A.2 * A.3^-4 * A.2^-1 * A.3 * A.1 * A.3 * A.2^-1 * A.1 * A.3^-4 * A.2 * A.3 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 36 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.3^-1 * A.2^3 * A.3^-1 * A.2, A.1^-1 * A.2^-3 * A.1^2 * A.2, A.3^36 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 36 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-3 * A.1^2 * A.2, (A.2 * A.3^-2)^2, A.3 * A.1 * A.3^2 * A.1 * A.3 * A.1 * A.3^2 * A.2 * A.3^-2 * A.1 * A.3^-3 * A.2^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 9, 6, 36 ]
[ A.1^9, A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.1^-1 * A.2^-3 * A.1^2 * A.2, (A.2 * A.3^-2)^2, A.3^-1 * A.2^-1 * A.3^4 * A.2 * A.3^-1 * A.2^-1 * A.3 * A.2^-1 * A.3^-5 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 12, 6, 27 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^12, A.1 * A.3^4 * A.1^-1 * A.2^2 * A.3^5 ]

Chiral 4-polytope with group of order 1944   NSD  Type [ 18, 6, 18 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.2^-1 * A.1 * A.2^-1 * A.1 * A.2^-2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.3^-1 * A.1^-1 * A.3^-1 * A.1^2 * A.3^-4, A.1^18 ]

Chiral 4-polytope with group of order 1944   PSD  Type [ 18, 6, 18 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.1 * A.2^-3 * A.1^-5 * A.2^-1, A.3^-1 * A.2^2 * A.1^-1 * A.3^-1 * A.1 * A.3^-4 ]

Chiral 4-polytope with group of order 1944   ISD  Type [ 18, 6, 18 ]
[ A.2^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1 * A.2^-1 * A.1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.2 * A.3^-2)^2, A.1^-1 * A.2^-2 * A.3 * A.2 * A.1^-1 * A.2^3 * A.3^-1, A.1 * A.2^-3 * A.1^-5 * A.2^-1, A.3^-4 * A.2^-2 * A.3^-1 * A.2^2 * A.3^-1 ]

Chiral 4-polytope with group of order 2000   ISD  Type [ 4, 4, 4 ]
[ A.1^4, A.2^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.1 ]

Chiral 4-polytope with group of order 2000   NSD  Type [ 4, 4, 20 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.3 * A.2^-1 * A.3 * A.1 * A.2^-1 * A.1^-2 * A.3^-1 * A.1^-1 * A.3, A.3 * A.2 * A.3^-1 * A.2^-1 * A.3^2 * A.2 * A.3^-1 * A.2 * A.3^5 ]

Chiral 4-polytope with group of order 2000   NSD  Type [ 4, 4, 20 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.1 * A.3^-1)^4, A.3^-2 * A.1^-2 * A.3^-1 * A.1^-1 * A.2^-1 * A.3^-1 * A.2 * A.1 ]

Chiral 4-polytope with group of order 2000   NSD  Type [ 4, 4, 20 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, A.1^-1 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.2^2 * A.1^2 * A.3^-1, (A.2 * A.3^-3)^2 ]

Chiral 4-polytope with group of order 2000   NSD  Type [ 4, 4, 20 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.2 * A.3^-3)^2, A.3 * A.1^-2 * A.3 * A.1^-2 * A.2^-1 * A.3^-1 * A.2 * A.1^2 * A.3, A.2 * A.3^-1 * A.1^-2 * A.3 * A.1^-1 * A.2^-1 * A.1 * A.3^2 ]

Chiral 4-polytope with group of order 2000   NSD  Type [ 4, 4, 20 ]
[ A.1^4, A.2^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.2 * A.1^-1 * A.2 * A.1^2 * A.2^2 * A.1^-1, (A.1^-1 * A.3^-1)^4, A.2 * A.1^-2 * A.3^-2 * A.1^-1 * A.3 * A.2^-1 * A.1 * A.3 ]

Chiral 4-polytope with group of order 2000   ISD  Type [ 4, 20, 4 ]
[ A.1^4, A.3^4, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, (A.1 * A.2^-3)^2, A.3^-1 * A.1^-1 * A.2 * A.3^-1 * A.1^2 * A.2^-1 * A.3^2 * A.1, A.2^2 * A.1 * A.2^-1 * A.1^-1 * A.2 * A.1 * A.2^-1 * A.1 * A.2^5 ]


Rank 5
......

Chiral 5-polytope with group of order 720   ISD  Type [ 3, 4, 4, 3 ]
[ A.1^3, A.2^4, A.3^4, A.4^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1, A.4), (A.3^-1 * A.4^-1)^2, A.2^-1 * A.3^-2 * A.2^2 * A.3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.4^-1 * A.3^-2 * A.2^-1 * A.4 * A.2 ]

Chiral 5-polytope with group of order 1440   ISD  Type [ 3, 4, 4, 3 ]
[ A.1^3, A.2^4, A.3^4, A.4^3, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1, A.4), (A.3^-1 * A.4^-1)^2, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.4^-1 * A.3^-2 * A.2^-1 * A.4 * A.2, A.3 * A.2^-1 * A.3 * A.2 * A.1^-1 * A.3^2 * A.1, A.2^-1 * A.3^-1 * A.4 * A.3 * A.2^-1 * A.3^2 * A.4^-1, A.3^-1 * A.1^-1 * A.3^-1 * A.1^-1 * A.3^2 * A.2^2 * A.1 ]

Chiral 5-polytope with group of order 1440   NSD  Type [ 3, 4, 4, 6 ]
[ A.1^3, A.2^4, A.3^4, A.4^6, (A.1^-1 * A.2^-1)^2, (A.2^-1 * A.3^-1)^2, (A.1, A.4), (A.3^-1 * A.4^-1)^2, A.2^-1 * A.3^-2 * A.2^2 * A.3, A.3^-1 * A.2^-2 * A.1^-1 * A.3 * A.1, A.4^-1 * A.3^-2 * A.2^-1 * A.4 * A.2, (A.3 * A.4^-2)^2 ]