Group : PSL(3,5):2

Order : 744000

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Total number of polytopes : 498

Number of polytopes of rank 3 : 496

Polytopes References
{ 3 , 8 } [ 22, 253 ]
{ 3 , 10 } [ 21, 143 ]
{ 3 , 12 } [ 17, 20, 193, 195 ]
{ 3 , 20 } [ 16, 18, 19, 306, 329, 353 ]
{ 3 , 24 } [ 373, 378 ]
{ 3 , 31 } [ 374, 375, 376, 377, 379 ]
{ 4 , 6 } [ 27 ]
{ 4 , 8 } [ 24, 229 ]
{ 4 , 10 } [ 26 ]
{ 4 , 12 } [ 25, 28, 40, 177, 186 ]
{ 4 , 20 } [ 23, 29, 30, 31, 32, 300, 321 ]
{ 4 , 24 } [ 35, 37 ]
{ 4 , 31 } [ 33, 34, 36, 38, 39, 364, 365, 389, 390, 391 ]
{ 5 , 6 } [ 93 ]
{ 5 , 8 } [ 1, 254, 256, 421 ]
{ 5 , 10 } [ 2, 158 ]
{ 5 , 12 } [ 6, 188 ]
{ 5 , 20 } [ 3, 4, 5, 317, 333, 342 ]
{ 5 , 24 } [ 393, 448 ]
{ 5 , 31 } [ 462, 463, 464, 465, 466 ]
{ 6 , 6 } [ 10, 63, 83 ]
{ 6 , 8 } [ 12, 14, 59, 64, 71, 84, 86, 90, 235, 384 ]
{ 6 , 10 } [ 13, 44, 49, 54, 80, 85, 98, 131 ]
{ 6 , 12 } [ 7, 15, 57, 69, 81, 82, 89, 91, 109, 182, 210 ]
{ 6 , 20 } [ 8, 9, 11, 58, 60, 61, 68, 79, 88, 94, 95, 100, 103, 320, 356, 362 ]
{ 6 , 24 } [ 73, 76, 104, 106, 368, 388 ]
{ 6 , 31 } [ 62, 65, 66, 67, 70, 72, 74, 75, 77, 78, 87, 92, 96, 97, 99, 101, 102, 105, 107, 108, 366, 367, 385, 386, 387 ]
{ 8 , 8 } [ 220, 248, 266, 267 ]
{ 8 , 10 } [ 41, 46, 52, 113, 115, 121, 138, 147, 152, 246, 262, 381 ]
{ 8 , 12 } [ 163, 165, 171, 190, 197, 219, 264, 268, 412, 414 ]
{ 8 , 20 } [ 221, 222, 223, 224, 225, 232, 233, 236, 242, 244, 250, 258, 260, 311, 314, 316, 336, 339, 351, 352, 354, 408 ]
{ 8 , 24 } [ 231, 234, 237, 259, 263, 265, 269, 271, 402, 409 ]
{ 8 , 31 } [ 226, 227, 228, 230, 238, 239, 240, 241, 243, 245, 247, 249, 251, 252, 255, 257, 261, 270, 272, 273, 410, 411, 413, 415, 416, 417, 418, 419, 420, 422 ]
{ 10 , 10 } [ 43, 45, 53, 55, 110, 157 ]
{ 10 , 12 } [ 42, 48, 56, 112, 124, 130, 133, 137, 144, 155, 217 ]
{ 10 , 20 } [ 47, 50, 51, 111, 114, 116, 120, 134, 145, 153, 154, 281, 349, 360 ]
{ 10 , 24 } [ 119, 129, 135, 141, 142, 149, 370, 371 ]
{ 10 , 31 } [ 117, 118, 122, 123, 125, 126, 127, 128, 132, 136, 139, 140, 146, 148, 150, 151, 156, 159, 160, 161, 369, 372, 380, 382, 383 ]
{ 12 , 12 } [ 167, 170, 173, 180, 181, 191, 199, 204, 423 ]
{ 12 , 20 } [ 162, 164, 166, 168, 169, 172, 200, 205, 207, 218, 279, 287, 315, 318, 326, 327, 427, 428 ]
{ 12 , 24 } [ 189, 192, 194, 212, 214, 216, 397, 403, 433, 435 ]
{ 12 , 31 } [ 174, 175, 176, 178, 179, 183, 184, 185, 187, 196, 198, 201, 202, 203, 206, 208, 209, 211, 213, 215, 424, 425, 426, 429, 430, 431, 432, 434, 436, 437 ]
{ 20 , 20 } [ 274, 275, 276, 277, 299, 301, 309, 350, 355, 361, 454 ]
{ 20 , 24 } [ 283, 286, 292, 295, 303, 307, 308, 310, 335, 340, 346, 358, 399, 441 ]
{ 20 , 31 } [ 278, 280, 282, 284, 285, 288, 289, 290, 291, 293, 294, 296, 297, 298, 302, 304, 305, 312, 313, 319, 322, 323, 324, 325, 328, 330, 331, 332, 334, 337, 338, 341, 343, 344, 345, 347, 348, 357, 359, 363, 451, 452, 453, 455, 456, 457, 458, 459, 460, 461 ]
{ 24 , 24 } [ 398, 447 ]
{ 24 , 31 } [ 392, 394, 395, 396, 400, 401, 404, 405, 406, 407, 438, 439, 440, 442, 443, 444, 445, 446, 449, 450 ]
{ 31 , 31 } [ 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496 ]

Number of polytopes of rank 4 : 2

Polytopes References
{ 4 , 10 , 4 } [ 498 ]
{ 6 , 3 , 6 } [ 497 ]