Group : PΣU(3,5)

Order : 252000

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Total number of polytopes : 962

Number of polytopes of rank 3 : 834

Polytopes References
[ 3 , 20 ] [ 1, 2 ]
[ 4 , 8 ] [ 3, 4, 5, 6, 7, 8, 9, 10 ]
[ 4 , 10 ] [ 11, 12, 13, 14, 15, 16 ]
[ 4 , 12 ] [ 17, 18, 19, 20, 21, 22 ]
[ 4 , 20 ] [ 23, 24, 25, 26, 27, 28, 29, 30, 31, 32 ]
[ 5 , 6 ] [ 37, 38, 39, 40 ]
[ 5 , 8 ] [ 33, 34, 41, 42, 43, 44, 45, 46, 47, 48 ]
[ 5 , 10 ] [ 49, 50, 51, 52, 53, 54, 55, 56 ]
[ 5 , 12 ] [ 57, 58 ]
[ 5 , 20 ] [ 35, 36, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 ]
[ 6 , 5 ] [ 597, 598, 599, 600 ]
[ 6 , 6 ] [ 69, 70, 629, 630 ]
[ 6 , 7 ] [ 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106 ]
[ 6 , 8 ] [ 71, 72, 73, 74, 75, 76, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124 ]
[ 6 , 10 ] [ 77, 78, 79, 80, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136 ]
[ 6 , 12 ] [ 81, 82, 83, 84, 85, 86 ]
[ 6 , 20 ] [ 87, 88, 89, 90, 91, 92, 137, 138, 139, 140, 141, 142 ]
[ 7 , 6 ] [ 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666 ]
[ 7 , 8 ] [ 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172 ]
[ 7 , 10 ] [ 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194 ]
[ 7 , 12 ] [ 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214 ]
[ 7 , 20 ] [ 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244 ]
[ 8 , 4 ] [ 563, 564, 565, 566, 567, 568, 569, 570 ]
[ 8 , 5 ] [ 593, 594, 601, 602, 603, 604, 605, 606, 607, 608 ]
[ 8 , 6 ] [ 631, 632, 633, 634, 635, 636, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684 ]
[ 8 , 7 ] [ 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732 ]
[ 8 , 8 ] [ 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 325, 326, 327, 328, 329, 330, 331, 332, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824 ]
[ 8 , 10 ] [ 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346 ]
[ 8 , 12 ] [ 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 347, 348, 349, 350, 351, 352, 353, 354 ]
[ 8 , 20 ] [ 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366 ]
[ 10 , 4 ] [ 571, 572, 573, 574, 575, 576 ]
[ 10 , 5 ] [ 609, 610, 611, 612, 613, 614, 615, 616 ]
[ 10 , 6 ] [ 637, 638, 639, 640, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696 ]
[ 10 , 7 ] [ 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754 ]
[ 10 , 8 ] [ 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898 ]
[ 10 , 10 ] [ 367, 368, 369, 370, 371, 372, 373, 374, 391, 392, 393, 394, 395, 396, 919, 920, 921, 922, 923, 924, 925, 926 ]
[ 10 , 12 ] [ 375, 376, 377, 378 ]
[ 10 , 20 ] [ 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408 ]
[ 12 , 4 ] [ 577, 578, 579, 580, 581, 582 ]
[ 12 , 5 ] [ 617, 618 ]
[ 12 , 6 ] [ 641, 642, 643, 644, 645, 646 ]
[ 12 , 7 ] [ 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774 ]
[ 12 , 8 ] [ 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 899, 900, 901, 902, 903, 904, 905, 906 ]
[ 12 , 10 ] [ 927, 928, 929, 930 ]
[ 12 , 12 ] [ 409, 410, 411, 412, 413, 414 ]
[ 12 , 20 ] [ 415, 416, 417, 418, 419, 420, 421, 422 ]
[ 20 , 3 ] [ 561, 562 ]
[ 20 , 4 ] [ 583, 584, 585, 586, 587, 588, 589, 590, 591, 592 ]
[ 20 , 5 ] [ 595, 596, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628 ]
[ 20 , 6 ] [ 647, 648, 649, 650, 651, 652, 697, 698, 699, 700, 701, 702 ]
[ 20 , 7 ] [ 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804 ]
[ 20 , 8 ] [ 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918 ]
[ 20 , 10 ] [ 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954 ]
[ 20 , 12 ] [ 955, 956, 957, 958, 959, 960, 961, 962 ]
[ 20 , 20 ] [ 423, 424, 425, 426, 427, 428, 429, 430, 431, 432 ]

Number of polytopes of rank 4 : 120

Polytopes References
[ 3 , 6 , 5 ] [ 433, 435 ]
[ 3 , 6 , 6 ] [ 434, 436 ]
[ 3 , 8 , 8 ] [ 437, 438, 439, 440, 441, 442, 443, 444 ]
[ 4 , 4 , 6 ] [ 453, 454 ]
[ 4 , 4 , 7 ] [ 445, 446, 448, 449 ]
[ 4 , 4 , 8 ] [ 447, 450 ]
[ 4 , 6 , 5 ] [ 455, 456 ]
[ 4 , 6 , 6 ] [ 457, 458 ]
[ 4 , 8 , 8 ] [ 451, 452, 459, 460, 461, 462, 463, 464, 465, 466 ]
[ 5 , 4 , 6 ] [ 471, 472 ]
[ 5 , 6 , 3 ] [ 475, 476 ]
[ 5 , 6 , 4 ] [ 467, 468 ]
[ 5 , 6 , 5 ] [ 469, 470, 473, 474 ]
[ 5 , 8 , 8 ] [ 477, 478, 479, 480 ]
[ 6 , 4 , 4 ] [ 491, 492 ]
[ 6 , 4 , 5 ] [ 487, 493 ]
[ 6 , 4 , 6 ] [ 481, 482, 483, 484, 488, 489, 490, 494 ]
[ 6 , 4 , 8 ] [ 485, 486 ]
[ 6 , 6 , 3 ] [ 495, 496 ]
[ 6 , 6 , 4 ] [ 497, 498 ]
[ 6 , 8 , 8 ] [ 499, 500, 501, 502 ]
[ 7 , 4 , 4 ] [ 503, 504, 505, 506 ]
[ 8 , 4 , 4 ] [ 507, 509 ]
[ 8 , 4 , 6 ] [ 508, 510 ]
[ 8 , 8 , 3 ] [ 523, 527, 543, 545, 546, 548, 549, 551 ]
[ 8 , 8 , 4 ] [ 518, 521, 526, 530, 531, 534, 540, 542, 544, 552 ]
[ 8 , 8 , 5 ] [ 524, 525, 528, 529 ]
[ 8 , 8 , 6 ] [ 515, 520, 547, 550 ]
[ 8 , 8 , 8 ] [ 511, 512, 513, 514, 516, 517, 519, 522, 532, 533, 535, 536, 537, 538, 539, 541 ]

Number of polytopes of rank 5 : 8

Polytopes References
[ 3 , 3 , 6 , 4 ] [ 553, 554 ]
[ 4 , 6 , 3 , 3 ] [ 555, 556 ]
[ 5 , 4 , 4 , 5 ] [ 557, 558, 559, 560 ]