Group : PSL(3,4).23

Order : 40320

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Total number of polytopes : 138

Number of polytopes of rank 3 : 102

Polytopes References
[ 3 , 10 ] [ 1, 2 ]
[ 4 , 6 ] [ 3, 4 ]
[ 4 , 10 ] [ 5, 6 ]
[ 5 , 6 ] [ 7, 8, 9, 10, 11, 12, 13, 14 ]
[ 5 , 8 ] [ 15, 16 ]
[ 5 , 10 ] [ 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 ]
[ 6 , 4 ] [ 93, 94 ]
[ 6 , 5 ] [ 97, 98, 99, 100, 101, 102, 103, 104 ]
[ 6 , 6 ] [ 27, 28 ]
[ 6 , 7 ] [ 29, 30, 31, 32 ]
[ 6 , 8 ] [ 33, 34 ]
[ 6 , 10 ] [ 35, 36, 37, 38, 39, 40 ]
[ 7 , 6 ] [ 117, 118, 119, 120 ]
[ 7 , 8 ] [ 41, 42 ]
[ 7 , 10 ] [ 43, 44, 45, 46, 47, 48 ]
[ 8 , 5 ] [ 105, 106 ]
[ 8 , 6 ] [ 121, 122 ]
[ 8 , 7 ] [ 129, 130 ]
[ 8 , 10 ] [ 49, 50 ]
[ 10 , 3 ] [ 91, 92 ]
[ 10 , 4 ] [ 95, 96 ]
[ 10 , 5 ] [ 107, 108, 109, 110, 111, 112, 113, 114, 115, 116 ]
[ 10 , 6 ] [ 123, 124, 125, 126, 127, 128 ]
[ 10 , 7 ] [ 131, 132, 133, 134, 135, 136 ]
[ 10 , 8 ] [ 137, 138 ]
[ 10 , 10 ] [ 51, 52, 53, 54 ]

Number of polytopes of rank 4 : 36

Polytopes References
[ 3 , 6 , 6 ] [ 55, 56 ]
[ 4 , 8 , 8 ] [ 57, 58 ]
[ 5 , 3 , 6 ] [ 59, 60 ]
[ 5 , 3 , 8 ] [ 61, 62 ]
[ 5 , 4 , 8 ] [ 63, 64, 65, 66 ]
[ 6 , 3 , 5 ] [ 69, 70 ]
[ 6 , 3 , 7 ] [ 67, 68 ]
[ 6 , 3 , 8 ] [ 71, 72 ]
[ 6 , 6 , 3 ] [ 73, 74 ]
[ 7 , 3 , 6 ] [ 75, 76 ]
[ 7 , 4 , 8 ] [ 77, 78 ]
[ 8 , 3 , 5 ] [ 79, 80 ]
[ 8 , 3 , 6 ] [ 81, 82 ]
[ 8 , 4 , 5 ] [ 83, 84, 86, 87 ]
[ 8 , 4 , 7 ] [ 85, 88 ]
[ 8 , 8 , 4 ] [ 89, 90 ]