Group : M24

Order : 244,823,040

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Total number of polytopes : 647

Number of polytopes of rank 3 : 490

Polytopes References
[ 4 , 8 ] [ 139, 511 ]
[ 4 , 10 ] [ 95, 174, 377, 486 ]
[ 4 , 11 ] [ 125, 153, 166, 332, 363, 369, 435, 499, 514, 516, 524, 527, 534, 571 ]
[ 4 , 12 ] [ 94, 98, 151, 152, 168, 330, 341, 478, 484, 491, 495, 501, 583, 591 ]
[ 5 , 6 ] [ 389, 582 ]
[ 5 , 10 ] [ 425, 463 ]
[ 5 , 11 ] [ 408, 433, 451, 456, 525, 589 ]
[ 5 , 12 ] [ 101, 343, 417, 437, 442, 455, 476, 503, 545, 555 ]
[ 6 , 6 ] [ 119, 141, 406, 510, 536, 566 ]
[ 6 , 8 ] [ 14, 68, 92, 121, 126, 137, 143, 162, 184, 446, 574, 595 ]
[ 6 , 10 ] [ 6, 21, 66, 79, 84, 148, 179, 194, 199, 339, 380, 453, 468, 471, 537, 554 ]
[ 6 , 11 ] [ 17, 50, 91, 129, 134, 156, 171, 320, 322, 346, 348, 361, 372, 384, 398, 401, 415, 419, 424, 428, 431, 449, 450, 480, 490, 492, 494, 498, 507, 520, 544, 573, 576 ]
[ 6 , 12 ] [ 23, 29, 32, 43, 46, 57, 62, 89, 90, 93, 96, 100, 110, 115, 123, 132, 133, 136, 145, 149, 155, 161, 177, 178, 193, 200, 201, 328, 335, 340, 353, 365, 368, 374, 378, 395, 403, 407, 413, 423, 482, 488, 509, 517, 530, 546, 553, 556, 557, 568, 577, 581, 588 ]
[ 8 , 8 ] [ 40, 580, 586 ]
[ 8 , 10 ] [ 19, 34, 42, 74, 164, 188, 192, 198, 385, 414, 452, 541 ]
[ 8 , 11 ] [ 9, 11, 22, 73, 99, 103, 106, 113, 158, 169 ]
[ 8 , 12 ] [ 4, 33, 38, 41, 55, 56, 64, 87, 107, 117, 124, 138, 150, 172, 180, 183, 189, 191, 196, 350, 366, 426, 429, 439, 461, 493, 515, 549, 578, 584 ]
[ 10 , 10 ] [ 28, 37, 52, 70, 410, 421, 445, 448 ]
[ 10 , 11 ] [ 7, 13, 18, 47, 49, 75, 88, 127, 142, 160, 313, 315, 337, 356, 396, 404, 416, 418, 420, 422, 436, 458, 487, 512, 552, 570, 572, 599 ]
[ 10 , 12 ] [ 3, 5, 15, 20, 24, 25, 26, 31, 39, 58, 59, 61, 65, 69, 72, 78, 81, 109, 116, 122, 130, 135, 163, 170, 181, 182, 197, 314, 318, 338, 351, 359, 362, 375, 379, 381, 382, 391, 394, 399, 409, 411, 427, 443, 462, 464, 505, 523, 539, 562, 587, 590, 592, 596 ]
[ 11 , 11 ] [ 311, 323, 324, 344, 354, 357, 371, 376, 390, 397, 405, 412, 454, 457, 460, 465, 473, 485, 521, 535, 550, 563, 579, 585, 597 ]
[ 11 , 12 ] [ 1, 8, 12, 51, 54, 67, 77, 83, 85, 108, 111, 118, 140, 146, 147, 154, 157, 159, 167, 173, 312, 316, 319, 325, 326, 327, 331, 333, 334, 336, 342, 345, 347, 349, 352, 358, 364, 373, 383, 386, 387, 388, 393, 400, 402, 432, 434, 444, 459, 466, 467, 472, 481, 489, 500, 504, 506, 508, 519, 522, 529, 533, 538, 540, 542, 548, 559, 561, 565, 567, 593, 594, 598 ]
[ 12 , 12 ] [ 2, 10, 16, 27, 30, 35, 36, 44, 45, 48, 53, 60, 63, 71, 76, 80, 82, 86, 97, 102, 104, 105, 112, 114, 120, 128, 131, 144, 165, 175, 176, 185, 186, 187, 190, 195, 317, 321, 329, 355, 360, 367, 370, 392, 430, 438, 440, 441, 447, 469, 470, 474, 475, 477, 479, 483, 496, 497, 502, 513, 518, 526, 528, 531, 532, 543, 547, 551, 558, 560, 564, 569, 575 ]

Number of polytopes of rank 4 : 155

Polytopes References
[ 3 , 4 , 10 ] [ 283 ]
[ 3 , 5 , 4 ] [ 215 ]
[ 3 , 5 , 6 ] [ 235 ]
[ 3 , 6 , 4 ] [ 305, 306, 616, 622 ]
[ 3 , 6 , 5 ] [ 284 ]
[ 3 , 8 , 4 ] [ 216, 256 ]
[ 3 , 8 , 6 ] [ 220 ]
[ 3 , 10 , 3 ] [ 285 ]
[ 3 , 10 , 4 ] [ 204, 217, 223, 239, 258, 259, 633, 643 ]
[ 3 , 10 , 5 ] [ 282 ]
[ 3 , 10 , 6 ] [ 219, 221, 250 ]
[ 3 , 11 , 3 ] [ 645 ]
[ 3 , 11 , 4 ] [ 629, 632, 644, 647 ]
[ 3 , 12 , 4 ] [ 222, 224, 225, 262, 603, 608, 609, 614, 625, 630, 640, 641, 646 ]
[ 3 , 12 , 6 ] [ 218, 637 ]
[ 4 , 4 , 5 ] [ 230 ]
[ 4 , 4 , 6 ] [ 626 ]
[ 4 , 4 , 10 ] [ 276 ]
[ 4 , 5 , 4 ] [ 264, 267, 271, 634 ]
[ 4 , 5 , 5 ] [ 303, 308 ]
[ 4 , 5 , 6 ] [ 617, 623 ]
[ 4 , 5 , 10 ] [ 207, 210, 246, 605, 612 ]
[ 4 , 6 , 4 ] [ 231, 261, 268, 273, 289, 292 ]
[ 4 , 6 , 5 ] [ 213, 214, 226, 229, 277, 302, 307 ]
[ 4 , 6 , 6 ] [ 209, 237, 254, 304, 604, 607, 610, 613, 624 ]
[ 4 , 6 , 10 ] [ 602, 606, 611, 615, 618, 619, 620, 621 ]
[ 4 , 8 , 4 ] [ 287, 293 ]
[ 4 , 8 , 5 ] [ 205, 208 ]
[ 4 , 8 , 6 ] [ 252, 627 ]
[ 4 , 10 , 4 ] [ 244, 257, 272, 286, 294, 299, 300 ]
[ 4 , 10 , 5 ] [ 203, 238, 275 ]
[ 4 , 10 , 6 ] [ 253 ]
[ 4 , 10 , 10 ] [ 600, 601 ]
[ 4 , 11 , 4 ] [ 241, 242, 265, 269, 270 ]
[ 4 , 11 , 6 ] [ 635, 636 ]
[ 4 , 11 , 10 ] [ 206, 247, 274, 278 ]
[ 4 , 12 , 4 ] [ 211, 212, 227, 228, 245, 255, 260, 263, 266, 288, 290, 291, 295, 296, 297, 298, 301, 631 ]
[ 4 , 12 , 5 ] [ 240, 243 ]
[ 4 , 12 , 6 ] [ 202, 233, 236, 251, 639 ]
[ 5 , 4 , 6 ] [ 232 ]
[ 5 , 6 , 6 ] [ 234 ]
[ 5 , 11 , 6 ] [ 638 ]
[ 5 , 12 , 6 ] [ 248, 249 ]
[ 6 , 5 , 10 ] [ 628 ]
[ 6 , 6 , 6 ] [ 281 ]
[ 6 , 8 , 6 ] [ 280 ]
[ 6 , 11 , 6 ] [ 642 ]
[ 6 , 12 , 6 ] [ 279 ]

Number of polytopes of rank 5 : 2

Polytopes References
[ 3 , 3 , 10 , 4 ] [ 310 ]
[ 4 , 10 , 3 , 4 ] [ 309 ]