Group : PSL(3,4).22

Order : 80640

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Total number of polytopes : 216

Number of polytopes of rank 3 : 164

Polytopes References
[ 4 , 8 ] [ 1, 2 ]
[ 4 , 10 ] [ 3, 4 ]
[ 4 , 14 ] [ 5, 6 ]
[ 6 , 6 ] [ 9, 10, 143, 144 ]
[ 6 , 8 ] [ 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 31, 32, 33, 34, 35, 36 ]
[ 6 , 10 ] [ 25, 26, 27, 28, 29, 30 ]
[ 6 , 14 ] [ 37, 38, 39, 40 ]
[ 8 , 4 ] [ 135, 136 ]
[ 8 , 6 ] [ 141, 142, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 165, 166, 167, 168, 169, 170 ]
[ 8 , 8 ] [ 41, 42, 45, 46, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 175, 176, 179, 180, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192 ]
[ 8 , 10 ] [ 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 ]
[ 8 , 14 ] [ 43, 44, 47, 48, 69, 70, 71, 72, 73, 74, 75, 76 ]
[ 10 , 4 ] [ 137, 138 ]
[ 10 , 6 ] [ 159, 160, 161, 162, 163, 164 ]
[ 10 , 8 ] [ 193, 194, 195, 196, 197, 198, 199, 200, 201, 202 ]
[ 10 , 14 ] [ 77, 78, 79, 80, 81, 82 ]
[ 14 , 4 ] [ 139, 140 ]
[ 14 , 6 ] [ 171, 172, 173, 174 ]
[ 14 , 8 ] [ 177, 178, 181, 182, 203, 204, 205, 206, 207, 208, 209, 210 ]
[ 14 , 10 ] [ 211, 212, 213, 214, 215, 216 ]

Number of polytopes of rank 4 : 52

Polytopes References
[ 3 , 6 , 4 ] [ 83, 84 ]
[ 4 , 4 , 6 ] [ 85, 86, 91, 92 ]
[ 4 , 6 , 3 ] [ 89, 90 ]
[ 4 , 8 , 5 ] [ 93, 94 ]
[ 4 , 8 , 6 ] [ 87, 88 ]
[ 5 , 8 , 4 ] [ 95, 96 ]
[ 6 , 4 , 4 ] [ 107, 108, 109, 110 ]
[ 6 , 4 , 6 ] [ 105, 106, 115, 117 ]
[ 6 , 4 , 8 ] [ 97, 98, 99, 100, 101, 102, 116, 118 ]
[ 6 , 6 , 8 ] [ 103, 104 ]
[ 6 , 8 , 4 ] [ 111, 112 ]
[ 6 , 8 , 8 ] [ 113, 114 ]
[ 8 , 4 , 6 ] [ 123, 124, 125, 127, 128, 129, 131, 132 ]
[ 8 , 4 , 8 ] [ 119, 120, 126, 130 ]
[ 8 , 6 , 6 ] [ 133, 134 ]
[ 8 , 8 , 6 ] [ 121, 122 ]