Group : Sym(8)

Order : 40320

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Total number of polytopes : 117

Number of polytopes of rank 3 : 68

Polytopes References
{ 4 , 7 } [ 10 ]
{ 4 , 8 } [ 1, 8 ]
{ 4 , 10 } [ 6 ]
{ 4 , 12 } [ 7, 47 ]
{ 4 , 15 } [ 2, 9, 37, 55 ]
{ 5 , 7 } [ 58 ]
{ 5 , 8 } [ 26, 29 ]
{ 5 , 15 } [ 59 ]
{ 6 , 6 } [ 11, 13, 42 ]
{ 6 , 7 } [ 4, 18, 40 ]
{ 6 , 8 } [ 3, 14, 16, 19, 28, 36 ]
{ 6 , 10 } [ 12, 17, 39 ]
{ 6 , 12 } [ 15 ]
{ 6 , 15 } [ 5, 20, 38, 41, 54, 56, 57 ]
{ 7 , 7 } [ 64 ]
{ 7 , 8 } [ 30, 31 ]
{ 7 , 10 } [ 53 ]
{ 7 , 12 } [ 50 ]
{ 7 , 15 } [ 60, 61, 62, 63 ]
{ 8 , 8 } [ 21, 27 ]
{ 8 , 10 } [ 22, 23 ]
{ 8 , 12 } [ 24, 25 ]
{ 8 , 15 } [ 32, 33, 34, 35 ]
{ 10 , 10 } [ 51 ]
{ 10 , 12 } [ 48 ]
{ 10 , 15 } [ 52 ]
{ 12 , 12 } [ 43, 44 ]
{ 12 , 15 } [ 45, 46, 49 ]
{ 15 , 15 } [ 65, 66, 67, 68 ]

Number of polytopes of rank 4 : 36

Polytopes References
{ 3 , 4 , 6 } [ 69, 93 ]
{ 3 , 6 , 6 } [ 70 ]
{ 3 , 8 , 3 } [ 96 ]
{ 3 , 8 , 4 } [ 86, 94 ]
{ 3 , 8 , 6 } [ 95 ]
{ 4 , 4 , 4 } [ 75 ]
{ 4 , 4 , 5 } [ 79 ]
{ 4 , 4 , 6 } [ 76, 77, 78, 81 ]
{ 4 , 6 , 4 } [ 71, 72, 92 ]
{ 4 , 6 , 5 } [ 74, 84, 91 ]
{ 4 , 6 , 6 } [ 73, 80, 83, 97, 102 ]
{ 4 , 8 , 4 } [ 100 ]
{ 4 , 8 , 6 } [ 85, 98, 101, 104 ]
{ 4 , 10 , 5 } [ 90 ]
{ 6 , 4 , 6 } [ 82, 87, 89 ]
{ 6 , 6 , 6 } [ 88, 99, 103 ]

Number of polytopes of rank 5 : 11

Polytopes References
{ 3 , 3 , 6 , 5 } [ 105 ]
{ 3 , 4 , 4 , 6 } [ 106 ]
{ 3 , 6 , 3 , 4 } [ 109 ]
{ 3 , 6 , 3 , 5 } [ 110 ]
{ 3 , 6 , 4 , 5 } [ 108 ]
{ 3 , 6 , 4 , 6 } [ 107 ]
{ 3 , 6 , 5 , 5 } [ 111 ]
{ 4 , 3 , 6 , 4 } [ 114 ]
{ 4 , 4 , 4 , 4 } [ 115 ]
{ 4 , 6 , 4 , 4 } [ 112 ]
{ 4 , 6 , 6 , 4 } [ 113 ]

Number of polytopes of rank 6 : 1

Polytopes References
{ 3 , 3 , 3 , 6 , 4 } [ 116 ]

Number of polytopes of rank 7 : 1

Polytopes References
{ 3 , 3 , 3 , 3 , 3 , 3 } [ 117 ]