Group : PΓU(4,2)

Order : 51840

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Total number of polytopes : 147

Number of polytopes of rank 3 : 87

Polytopes References
{ 4 , 8 } [ 8, 19 ]
{ 4 , 9 } [ 10, 11, 74 ]
{ 4 , 10 } [ 7, 20, 25, 69 ]
{ 4 , 12 } [ 9, 12, 26 ]
{ 5 , 6 } [ 18, 24, 32, 83 ]
{ 5 , 8 } [ 35, 42 ]
{ 5 , 9 } [ 82 ]
{ 5 , 10 } [ 37 ]
{ 5 , 12 } [ 36, 53, 76, 80 ]
{ 6 , 8 } [ 4, 15, 27, 31, 34, 47 ]
{ 6 , 9 } [ 2, 5, 17, 23, 29, 30, 72, 84 ]
{ 6 , 10 } [ 1, 13, 22, 28, 65, 71 ]
{ 6 , 12 } [ 3, 6, 14, 16, 21, 33, 55, 73 ]
{ 8 , 8 } [ 38, 46 ]
{ 8 , 9 } [ 48, 49 ]
{ 8 , 10 } [ 40, 45 ]
{ 8 , 12 } [ 39, 41, 43, 44 ]
{ 9 , 9 } [ 85, 86, 87 ]
{ 9 , 10 } [ 66, 67, 68 ]
{ 9 , 12 } [ 57, 58, 77, 78 ]
{ 10 , 10 } [ 60, 61, 63, 70 ]
{ 10 , 12 } [ 50, 51, 52, 54, 62, 64 ]
{ 12 , 12 } [ 56, 59, 75, 79, 81 ]

Number of polytopes of rank 4 : 50

Polytopes References
{ 3 , 4 , 5 } [ 88 ]
{ 3 , 4 , 6 } [ 91 ]
{ 3 , 5 , 6 } [ 117 ]
{ 3 , 6 , 4 } [ 124, 130 ]
{ 3 , 6 , 5 } [ 90 ]
{ 3 , 6 , 6 } [ 89, 118, 121, 128, 129 ]
{ 3 , 12 , 4 } [ 108 ]
{ 4 , 4 , 4 } [ 94 ]
{ 4 , 4 , 5 } [ 96 ]
{ 4 , 4 , 6 } [ 95, 99, 102, 103 ]
{ 4 , 5 , 5 } [ 107 ]
{ 4 , 5 , 6 } [ 106 ]
{ 4 , 6 , 4 } [ 97, 126, 131, 135 ]
{ 4 , 6 , 5 } [ 105 ]
{ 4 , 6 , 6 } [ 92, 93, 98, 100, 101, 104, 125, 127, 132, 133, 134 ]
{ 5 , 4 , 6 } [ 112, 114 ]
{ 5 , 5 , 6 } [ 111, 116 ]
{ 6 , 4 , 6 } [ 113, 120, 123, 136 ]
{ 6 , 6 , 6 } [ 109, 110, 115, 119, 122, 137 ]

Number of polytopes of rank 5 : 10

Polytopes References
{ 3 , 3 , 4 , 4 } [ 138 ]
{ 3 , 3 , 4 , 6 } [ 139 ]
{ 3 , 4 , 3 , 4 } [ 141 ]
{ 3 , 4 , 4 , 4 } [ 140 ]
{ 3 , 4 , 6 , 4 } [ 142 ]
{ 3 , 4 , 6 , 6 } [ 143 ]
{ 4 , 3 , 4 , 4 } [ 146 ]
{ 4 , 4 , 4 , 4 } [ 144 ]
{ 4 , 4 , 6 , 4 } [ 145 ]
{ 4 , 6 , 6 , 4 } [ 147 ]