Group : PSL(3,4).D12

Order : 241920

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Total number of polytopes : 392

Number of polytopes of rank 3 : 296

Polytopes References
[ 4 , 6 ] [ 1, 2, 3, 4, 5, 6 ]
[ 4 , 12 ] [ 7, 8 ]
[ 6 , 4 ] [ 245, 246, 247, 248, 249, 250 ]
[ 6 , 6 ] [ 9, 10, 11, 12, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 253, 254, 255, 256, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286 ]
[ 6 , 8 ] [ 13, 14, 15, 16, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56 ]
[ 6 , 10 ] [ 57, 58, 59, 60, 61, 62, 63, 64 ]
[ 6 , 12 ] [ 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102 ]
[ 6 , 14 ] [ 17, 18, 19, 20, 21, 22, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76 ]
[ 8 , 6 ] [ 257, 258, 259, 260, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 ]
[ 8 , 12 ] [ 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122 ]
[ 10 , 6 ] [ 301, 302, 303, 304, 305, 306, 307, 308 ]
[ 10 , 12 ] [ 123, 124, 125, 126, 127, 128, 129, 130 ]
[ 12 , 4 ] [ 251, 252 ]
[ 12 , 6 ] [ 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346 ]
[ 12 , 8 ] [ 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366 ]
[ 12 , 10 ] [ 367, 368, 369, 370, 371, 372, 373, 374 ]
[ 12 , 14 ] [ 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148 ]
[ 14 , 6 ] [ 261, 262, 263, 264, 265, 266, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320 ]
[ 14 , 12 ] [ 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392 ]

Number of polytopes of rank 4 : 88

Polytopes References
[ 3 , 6 , 6 ] [ 151, 152, 153, 154 ]
[ 3 , 6 , 8 ] [ 149, 150 ]
[ 3 , 8 , 6 ] [ 155, 156 ]
[ 4 , 4 , 6 ] [ 157, 159 ]
[ 4 , 4 , 15 ] [ 158, 160 ]
[ 4 , 6 , 6 ] [ 161, 162, 165, 166 ]
[ 4 , 8 , 15 ] [ 163, 164 ]
[ 5 , 4 , 6 ] [ 167, 168 ]
[ 5 , 6 , 6 ] [ 169, 170 ]
[ 6 , 3 , 6 ] [ 173, 174, 201, 202, 209, 210, 212, 213 ]
[ 6 , 3 , 8 ] [ 175, 176, 211, 214 ]
[ 6 , 4 , 4 ] [ 177, 180 ]
[ 6 , 4 , 5 ] [ 178, 179 ]
[ 6 , 6 , 3 ] [ 191, 193, 195, 196 ]
[ 6 , 6 , 4 ] [ 192, 194, 199, 200 ]
[ 6 , 6 , 5 ] [ 203, 205 ]
[ 6 , 6 , 6 ] [ 181, 183, 185, 186, 207, 208, 215, 216 ]
[ 6 , 6 , 8 ] [ 182, 184, 187, 188 ]
[ 6 , 6 , 15 ] [ 171, 172, 189, 190, 204, 206 ]
[ 6 , 8 , 3 ] [ 197, 198 ]
[ 8 , 3 , 6 ] [ 221, 222, 223, 224 ]
[ 8 , 6 , 3 ] [ 219, 220 ]
[ 8 , 6 , 6 ] [ 217, 218, 225, 226 ]
[ 15 , 4 , 4 ] [ 227, 228 ]
[ 15 , 6 , 6 ] [ 229, 230, 231, 232, 233, 234 ]
[ 15 , 8 , 4 ] [ 235, 236 ]

Number of polytopes of rank 5 : 8

Polytopes References
[ 3 , 4 , 4 , 4 ] [ 237, 238 ]
[ 3 , 6 , 4 , 4 ] [ 239, 240 ]
[ 4 , 4 , 4 , 3 ] [ 241, 242 ]
[ 4 , 4 , 6 , 3 ] [ 243, 244 ]