Group : Sym(9)

Order : 362880

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Total number of polytopes : 968

Number of polytopes of rank 3 : 836

Polytopes References
[ 4 , 6 ] [ 1, 2 ]
[ 4 , 8 ] [ 3, 4, 5, 6, 7, 8, 15, 16, 17, 18, 19, 20 ]
[ 4 , 9 ] [ 21, 22, 23, 24, 25, 26 ]
[ 4 , 14 ] [ 9, 10, 11, 12, 27, 28, 29, 30 ]
[ 4 , 20 ] [ 13, 14 ]
[ 6 , 4 ] [ 65, 66 ]
[ 6 , 6 ] [ 33, 34, 43, 44, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 145, 146, 147, 148, 149, 150, 151, 152 ]
[ 6 , 7 ] [ 81, 82, 83, 84, 85, 86 ]
[ 6 , 8 ] [ 35, 36, 37, 38, 45, 46, 47, 48, 49, 50, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166 ]
[ 6 , 9 ] [ 31, 32, 39, 40, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116 ]
[ 6 , 10 ] [ 117, 118, 119, 120, 121, 122 ]
[ 6 , 12 ] [ 123, 124, 125, 126, 127, 128 ]
[ 6 , 14 ] [ 61, 62, 129, 130, 131, 132, 133, 134, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178 ]
[ 6 , 15 ] [ 135, 136, 137, 138, 139, 140, 141, 142 ]
[ 6 , 20 ] [ 41, 42, 63, 64, 143, 144, 179, 180, 181, 182, 183, 184, 185, 186 ]
[ 7 , 6 ] [ 187, 188, 189, 190, 191, 192 ]
[ 7 , 8 ] [ 193, 194, 195, 196, 197, 198, 199, 200 ]
[ 7 , 14 ] [ 201, 202, 203, 204 ]
[ 7 , 20 ] [ 205, 206, 207, 208, 209, 210 ]
[ 8 , 4 ] [ 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222 ]
[ 8 , 6 ] [ 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262 ]
[ 8 , 7 ] [ 263, 264, 265, 266, 267, 268, 269, 270 ]
[ 8 , 8 ] [ 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304 ]
[ 8 , 9 ] [ 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336 ]
[ 8 , 10 ] [ 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348 ]
[ 8 , 12 ] [ 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366 ]
[ 8 , 14 ] [ 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384 ]
[ 8 , 15 ] [ 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400 ]
[ 8 , 20 ] [ 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414 ]
[ 9 , 4 ] [ 415, 416, 417, 418, 419, 420 ]
[ 9 , 6 ] [ 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448 ]
[ 9 , 8 ] [ 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480 ]
[ 9 , 10 ] [ 481, 482, 483, 484, 485, 486, 487, 488 ]
[ 9 , 12 ] [ 489, 490, 491, 492, 493, 494, 495, 496 ]
[ 9 , 14 ] [ 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518 ]
[ 9 , 20 ] [ 519, 520, 521, 522, 523, 524, 525, 526, 527, 528 ]
[ 10 , 6 ] [ 529, 530, 541, 542, 543, 544 ]
[ 10 , 8 ] [ 531, 532, 533, 534, 545, 546, 547, 548, 549, 550, 551, 552 ]
[ 10 , 9 ] [ 553, 554, 555, 556, 557, 558, 559, 560 ]
[ 10 , 14 ] [ 535, 536, 537, 538, 561, 562, 563, 564 ]
[ 10 , 20 ] [ 539, 540, 565, 566, 567, 568 ]
[ 12 , 6 ] [ 569, 570, 571, 572, 593, 594 ]
[ 12 , 8 ] [ 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 595, 596, 597, 598, 599, 600, 601, 602 ]
[ 12 , 9 ] [ 603, 604, 605, 606, 607, 608, 609, 610 ]
[ 12 , 14 ] [ 583, 584, 585, 586, 587, 588, 611, 612 ]
[ 12 , 20 ] [ 589, 590, 591, 592, 613, 614 ]
[ 14 , 4 ] [ 615, 616, 617, 618, 619, 620, 621, 622 ]
[ 14 , 6 ] [ 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642 ]
[ 14 , 7 ] [ 643, 644, 645, 646 ]
[ 14 , 8 ] [ 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664 ]
[ 14 , 9 ] [ 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686 ]
[ 14 , 10 ] [ 687, 688, 689, 690, 691, 692, 693, 694 ]
[ 14 , 12 ] [ 695, 696, 697, 698, 699, 700, 701, 702 ]
[ 14 , 14 ] [ 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716 ]
[ 14 , 15 ] [ 717, 718, 719, 720, 721, 722, 723, 724 ]
[ 14 , 20 ] [ 725, 726, 727, 728, 729, 730 ]
[ 15 , 6 ] [ 731, 732, 733, 734, 735, 736, 737, 738 ]
[ 15 , 8 ] [ 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754 ]
[ 15 , 14 ] [ 755, 756, 757, 758, 759, 760, 761, 762 ]
[ 15 , 20 ] [ 763, 764, 765, 766 ]
[ 20 , 4 ] [ 767, 768 ]
[ 20 , 6 ] [ 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782 ]
[ 20 , 7 ] [ 783, 784, 785, 786, 787, 788 ]
[ 20 , 8 ] [ 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802 ]
[ 20 , 9 ] [ 803, 804, 805, 806, 807, 808, 809, 810, 811, 812 ]
[ 20 , 10 ] [ 813, 814, 815, 816, 817, 818 ]
[ 20 , 12 ] [ 819, 820, 821, 822, 823, 824 ]
[ 20 , 14 ] [ 825, 826, 827, 828, 829, 830 ]
[ 20 , 15 ] [ 831, 832, 833, 834 ]
[ 20 , 20 ] [ 835, 836 ]

Number of polytopes of rank 4 : 132

Polytopes References
[ 3 , 6 , 4 ] [ 837, 838, 841, 842 ]
[ 3 , 6 , 6 ] [ 839, 840, 843, 844, 855, 858 ]
[ 3 , 6 , 10 ] [ 845, 846, 847, 848, 856, 859 ]
[ 3 , 6 , 12 ] [ 849, 850, 857, 860 ]
[ 3 , 7 , 6 ] [ 851, 852 ]
[ 3 , 8 , 3 ] [ 853, 854, 861, 862 ]
[ 4 , 3 , 8 ] [ 867, 868 ]
[ 4 , 4 , 6 ] [ 863, 864, 873, 874 ]
[ 4 , 6 , 3 ] [ 875, 876, 877, 878 ]
[ 4 , 6 , 6 ] [ 865, 866, 869, 870 ]
[ 4 , 6 , 8 ] [ 871, 872 ]
[ 5 , 12 , 12 ] [ 879, 880 ]
[ 6 , 3 , 7 ] [ 899, 900 ]
[ 6 , 3 , 8 ] [ 901, 902 ]
[ 6 , 3 , 10 ] [ 903, 904 ]
[ 6 , 3 , 12 ] [ 905, 906 ]
[ 6 , 4 , 4 ] [ 907, 908, 910, 911 ]
[ 6 , 4 , 6 ] [ 881, 882, 909, 912 ]
[ 6 , 4 , 12 ] [ 889, 890, 891, 892 ]
[ 6 , 6 , 3 ] [ 887, 888, 895, 896, 897, 898 ]
[ 6 , 6 , 4 ] [ 913, 915, 917, 918 ]
[ 6 , 6 , 6 ] [ 883, 884, 914, 916 ]
[ 6 , 6 , 12 ] [ 893, 894 ]
[ 6 , 7 , 3 ] [ 885, 886 ]
[ 7 , 3 , 6 ] [ 919, 920 ]
[ 7 , 3 , 10 ] [ 921, 922 ]
[ 7 , 8 , 8 ] [ 923, 924 ]
[ 8 , 3 , 4 ] [ 925, 929 ]
[ 8 , 3 , 6 ] [ 926, 930 ]
[ 8 , 3 , 10 ] [ 927, 931 ]
[ 8 , 3 , 12 ] [ 928, 932 ]
[ 8 , 4 , 12 ] [ 933, 934 ]
[ 8 , 6 , 4 ] [ 935, 936 ]
[ 8 , 8 , 7 ] [ 937, 938 ]
[ 10 , 3 , 6 ] [ 939, 940 ]
[ 10 , 3 , 7 ] [ 941, 942 ]
[ 10 , 3 , 8 ] [ 943, 944 ]
[ 10 , 6 , 3 ] [ 945, 946, 947, 948, 949, 950 ]
[ 12 , 3 , 6 ] [ 951, 952 ]
[ 12 , 3 , 8 ] [ 953, 954 ]
[ 12 , 4 , 6 ] [ 955, 956, 958, 959 ]
[ 12 , 4 , 8 ] [ 957, 960 ]
[ 12 , 6 , 3 ] [ 963, 964, 965, 966 ]
[ 12 , 6 , 6 ] [ 961, 962 ]
[ 12 , 12 , 5 ] [ 967, 968 ]