File: gps11.g

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gap-primgrp 3.4.0-1
links: PTS
area: main
in suites: bullseye
size: 41,516 kB
sloc: xml: 5,374; makefile: 125
file content (723 lines) | stat: -rw-r--r-- 975,869 bytes
parent folder | download | duplicates (2)
PRIMGRP[1002]:= 
[[1, Factorial(1002)/2,1,"2",[[1001,1]],1000, "Alt(1002)", ["A",1002, 1], "Alt"],
[2, Factorial(1002),0,"2",[[1001, 1]],1002, "Sym(1002)", ["A",1002, 1], "Sym"]];
PRIMGRP[1003]:= 
[[1, Factorial(1003)/2,1,"2",[[1002,1]],1001, "Alt(1003)", ["A",1003, 1], "Alt"],
[2, Factorial(1003),0,"2",[[1002, 1]],1003, "Sym(1003)", ["A",1003, 1], "Sym"]];
PRIMGRP[1004]:= 
[[1, Factorial(1004)/2,1,"2",[[1003,1]],1002, "Alt(1004)", ["A",1004, 1], "Alt"],
[2, Factorial(1004),0,"2",[[1003, 1]],1004, "Sym(1004)", ["A",1004, 1], "Sym"]];
PRIMGRP[1005]:= 
[[1, Factorial(1005)/2,1,"2",[[1004,1]],1003, "Alt(1005)", ["A",1005, 1], "Alt"],
[2, Factorial(1005),0,"2",[[1004, 1]],1005, "Sym(1005)", ["A",1005, 1], "Sym"]];
PRIMGRP[1006]:= 
[[1, Factorial(1006)/2,1,"2",[[1005,1]],1004, "Alt(1006)", ["A",1006, 1], "Alt"],
[2, Factorial(1006),0,"2",[[1005, 1]],1006, "Sym(1006)", ["A",1006, 1], "Sym"]];
PRIMGRP[1007]:= 
[[1, Factorial(1007)/2,1,"2",[[1006,1]],1005, "Alt(1007)", ["A",1007, 1], "Alt"],
[2, Factorial(1007),0,"2",[[1006, 1]],1007, "Sym(1007)", ["A",1007, 1], "Sym"]];
PRIMGRP[1008]:= 
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[ 2, 1209600, 0, "2", [ [ 12, 1 ], [ 200, 1 ], [ 25, 1 ], [ 300, 2 ], [ 50, 1 ], [ 120, 1 ] ], 1, "J(2).2", [ "Spor", "HJ = J(2) = F(5-)", 1 ], [ (   1, 981, 977,  63, 805, 582, 530, 305, 177, 238, 753, 763)(   2, 741,1002, 460, 207, 664,  30, 747, 469,  28, 484, 173)(   3, 896, 567, 486, 405, 731, 101, 338, 201, 259, 289,  17)(   4, 806, 796, 404, 380, 827, 233, 409, 386, 368, 515, 736)(   5,  75, 779, 456, 179,  90, 623, 695, 893, 167, 964, 426)(   6, 780, 864, 256)(   7, 572, 904, 923, 585, 244, 846, 740, 666, 869, 300, 181)(   8, 461, 108,  25, 458, 801, 321, 989, 978, 992, 552, 950)(   9,  71, 455, 262, 237, 261, 145, 242, 627, 845, 188, 953)(  10, 350, 308, 395, 668,1006,  13, 110, 938, 734,  26, 417)(  11, 197, 824, 835, 588, 672, 947, 790, 863, 489, 549, 424)(  12, 702, 385,  81,  69,  21, 277, 787, 328, 213, 490, 703)(  14, 191,  79, 384, 382, 102,  82, 522, 606, 431, 481, 495)(  15, 439, 887, 112, 320, 976, 396, 516, 604, 170, 844,  36)(  16, 264, 888, 117, 419, 374, 579, 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[8, Factorial(1008)/2,1,"2",[[1007,1]],1006, "Alt(1008)", ["A",1008, 1], "Alt"],
[9, Factorial(1008),0,"2",[[1007, 1]],1008, "Sym(1008)", ["A",1008, 1], "Sym"]];
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PRIMGRP[1016]:= 
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PRIMGRP[1017]:= 
[[1, Factorial(1017)/2,1,"2",[[1016,1]],1015, "Alt(1017)", ["A",1017, 1], "Alt"],
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PRIMGRP[1018]:= 
[[1, Factorial(1018)/2,1,"2",[[1017,1]],1016, "Alt(1018)", ["A",1018, 1], "Alt"],
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PRIMGRP[1019]:= 
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[3, Factorial(1023)/2,1,"2",[[1022,1]],1021, "Alt(1023)", ["A",1023, 1], "Alt"],
[4, Factorial(1023),0,"2",[[1022, 1]],1023, "Sym(1023)", ["A",1023, 1], "Sym"]];
PRIMGRP[1024]:= 
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467, 796, 167)(  49, 666, 347, 369, 218,1019, 753, 858, 315, 625, 250, 603, 913, 506,  91, 689, 730, 539, 433, 986, 475, 785, 186,  59, 657, 346, 379, 209,1018, 763, 849, 314, 635, 241, 602, 923, 497,  90, 699, 721, 538, 443, 977, 474, 795, 177,  58, 667, 337, 378, 219,1009, 762, 859, 305, 634, 251, 593, 922, 507,  81, 698, 731, 529, 442, 987, 465, 794, 187)(  53, 661, 341, 373, 213,1013, 757, 853, 309, 629, 245, 597, 917, 501,  85, 693, 725, 533, 437, 981, 469, 789, 181)(  97, 939, 121, 936, 105, 930, 100, 942, 127, 957, 106, 943, 120, 951,  99, 960, 101, 958, 108, 948)(  98, 932, 110, 959, 125, 938, 111, 952, 119, 931, 128, 933, 126, 940, 116, 929, 107, 953, 104, 937)( 102, 944, 118, 941, 114, 947, 124, 935)( 103, 934, 112, 950, 109, 946, 115, 956)( 113, 954, 123, 945, 122, 955)( 117, 949)( 129, 139, 153, 136, 137, 130, 132, 142, 159, 157, 138, 143, 152, 151, 131, 160, 133, 158, 140, 148)( 134, 144, 150, 141, 146, 147, 156, 135)( 145, 154, 155)( 257, 811, 281, 808, 265, 802, 260, 814, 287, 829, 266, 815, 280, 823, 259, 832, 261, 830, 268, 820)( 258, 804, 270, 831, 285, 810, 271, 824, 279, 803, 288, 805, 286, 812, 276, 801, 267, 825, 264, 809)( 262, 816, 278, 813, 274, 819, 284, 807)( 263, 806, 272, 822, 269, 818, 275, 828)( 273, 826, 283, 817, 282, 827)( 277, 821), (   1, 313, 241, 750,1016, 789, 643, 933, 962,  76, 627, 903, 205, 571, 543, 875, 714, 463, 854, 424, 286, 407,  48, 690, 596,  26, 825, 230, 494, 993, 309, 657, 741, 984, 780, 611, 935, 194,  91, 531, 907, 717, 559, 863, 872, 266, 471,  54, 434, 606, 410, 816, 678, 500)(   2,  89, 243, 910,1005, 565, 671, 869, 970, 460, 630, 423, 222, 411, 528, 683, 724,  15, 857, 232, 270,1015,  53, 658, 581, 986, 812, 614, 487, 193, 315, 529, 747, 728, 783, 835, 936, 258,  87,  51, 914, 589, 570, 831, 870, 490, 449, 310, 433, 766, 408, 784, 675, 948)(   3, 953, 226,  78,1011, 917, 653, 549, 991, 876, 618, 455, 214, 443, 542, 395, 720, 687, 852,   8, 281, 247,  46,1010, 597, 666, 805, 966, 492, 609, 295, 209, 763, 536, 779, 707, 943, 834,  72, 275, 919,  45, 562, 607, 890, 810, 454, 502, 417, 318, 401, 752, 696, 788)(   4, 345, 233, 142, 996, 341, 649, 133, 964, 332, 617, 135, 196, 347, 521, 139, 708, 335, 841, 136, 260, 343,  41, 146, 580, 346, 809, 134, 484, 321, 297, 145, 740, 344, 777, 131, 932, 322,  73, 147, 900, 333, 553, 159, 868, 330, 457, 150, 420, 350, 393, 144, 676, 340,   9, 153, 228, 334,1001, 149, 644, 325, 969, 140, 612, 327, 201, 155, 516, 331, 713, 143, 836, 328, 265, 151,  36, 338, 585, 154, 804, 326, 489, 129, 292, 337, 745, 152, 772, 323, 937, 130,  68, 339, 905, 141, 548, 351, 873, 138, 452, 342, 425, 158, 388, 336, 681, 148)(   5, 985, 236, 622, 999, 213, 667, 517, 971, 716, 623, 839, 200, 283, 535,  43, 722, 591, 858, 808, 262, 503,  33, 306, 593, 762, 824, 774, 483, 929, 290,  81, 755, 920, 781, 547, 959, 866,  74, 467, 918, 429, 574, 415, 880, 682, 468,  22, 441, 254, 398,1008, 693, 660)(   6, 505, 225, 302,1009, 757, 664, 773, 963, 940, 610,  71, 211, 923, 525, 555, 735, 879, 842, 456, 278, 439,  62, 402, 592, 698, 820)(   7, 217, 251, 526,1003, 725, 655, 837, 968, 268, 631,  39, 210, 603, 538, 811, 710, 495, 833, 296, 273, 759,  56, 786, 579, 954, 802,  70, 499, 897, 301, 561, 767, 888, 778, 451, 950, 418,  94, 403, 912, 685, 564,  31, 889, 234, 462,1014, 437, 670, 389, 976, 684, 628)(  10, 473, 246, 430,1022, 405, 656, 677, 980,  12, 633, 231, 206,1019, 533, 651, 709, 975, 844, 616, 263, 215,  59, 530, 587, 730, 815, 838, 488, 257, 311,  49, 754, 600, 794, 803, 934, 482,  65, 307, 913, 749, 568, 799, 867, 938, 450,  86, 435, 926, 397, 560, 703, 884)(  11, 729, 239, 846,1000, 277, 663,  37, 978, 588, 634, 807, 198, 507, 513, 299, 721, 751, 856, 776, 259, 951,  34,  82, 595, 922, 813, 550, 511, 865, 298, 465, 758, 440, 798, 387, 944, 674,  84,  19, 921, 237, 558,1023, 885, 650, 453, 982, 428, 638, 391, 208, 699, 532)(  13, 569, 255, 878,1002, 469, 662, 421, 990, 396, 624, 679, 212,  27, 537, 235, 718,1007, 853, 648, 261, 983,  44, 626, 583, 218, 827, 518, 491, 705, 303, 849, 744, 280, 791,  35, 946, 578,  90, 819, 902, 493, 545, 319, 881, 746, 472, 790, 419, 958, 386,  80, 691, 916)(  14,1017, 245, 654, 997, 981, 652, 613, 967, 204, 635, 519, 203, 731, 527, 843, 712, 271, 855,  40, 274, 599,  58, 818, 582, 506, 801, 294, 497, 737, 312, 785, 739, 952, 770,  67, 947, 898,  77, 563, 927, 877, 554, 479, 886, 426, 478, 406, 432, 702, 404,  16, 697, 244)(  17, 761, 248, 782, 995, 949, 642,  69, 979, 908, 621, 551, 223, 891, 522, 459, 726, 431, 862, 392, 272, 695,  52,  18, 601, 250, 814, 998, 501, 641, 293, 977, 748, 632, 775, 195, 955, 514,  75, 723, 911, 845, 552, 287, 887,  42, 466, 598, 442, 830, 390, 496, 673, 308)(  20,  25, 249, 238,1006,1013, 661, 645, 965, 972, 620, 615, 199, 219, 539, 523, 715, 719, 847, 840, 264, 279,  55,  50, 594, 602, 826, 806, 486, 481, 289, 305, 753, 760, 792, 771, 931, 930,  66,  83, 915, 909, 557, 575, 895, 874, 458, 470, 438, 446, 414, 400, 688, 692)(  21, 665, 229, 974,1004, 629, 647, 197, 987, 524, 619, 711, 207, 859, 520, 267, 727,  47, 850, 584, 282, 823,  38, 498, 577, 314, 817, 742, 504, 769, 291, 945, 738,  88, 787, 899, 941, 546,  95, 883, 906, 461, 566, 447, 894, 394, 464, 694, 436,  30, 409, 240, 686,1012)(  23,  57, 242, 590,1018, 821, 646, 485, 961, 300, 625, 743, 216, 795, 515, 939, 706,  79, 851, 904, 269, 567,  63, 882, 586, 474, 822, 422, 510, 385, 304, 689, 756,  24, 793, 227, 942, 994,  85, 659, 901, 973, 556, 639, 871, 202, 475, 534, 427, 734, 399, 848, 680, 276)(  28, 185, 253, 366,1024, 117, 668, 165, 989, 364, 640, 103, 220, 187, 541, 363, 736, 111, 860, 168, 285, 375,  64, 114, 604, 186, 829, 358, 512,  97, 316, 177, 765, 376, 800,  99, 956, 162,  93, 371, 928, 109, 572, 191, 893, 362, 480, 118, 444, 190, 413, 368, 704, 116)(  29, 377, 256, 110,1020, 181, 669, 357, 992, 108, 636, 167, 221, 379, 544, 107, 732, 175, 861, 360, 288, 119,  60, 178, 605, 378, 832, 102, 508, 161, 317, 369, 768, 120, 796, 163, 957, 354,  96, 115, 924, 173, 573, 383, 896, 106, 476, 182, 445, 382, 416, 112, 700, 180)(  32, 121, 252, 174,1021, 373, 672, 101, 988, 172, 637, 359, 224, 123, 540, 171, 733, 367, 864, 104, 284, 183,  61, 370, 608, 122, 828, 166, 509, 353, 320, 113, 764, 184, 797, 355, 960,  98,  92, 179, 925, 365, 576, 127, 892, 170, 477, 374, 448, 126, 412, 176, 701, 372)( 100, 348, 169, 157, 356, 352, 105, 156, 164, 349, 361, 160)( 124, 188, 189, 381, 384, 128)( 125, 380, 192)( 132, 324, 329, 137) ] ],
[114, Factorial(1024)/2,1,"2",[[1023,1]],1022, "Alt(1024)", ["A",1024, 1], "Alt"],
[115, Factorial(1024),0,"2",[[1023, 1]],1024, "Sym(1024)", ["A",1024, 1], "Sym"]];
PRIMGRP[1025]:= 
[[ 1, 32537600, 1, "2", [ [ 1024, 1 ] ], 2, "Sz(32)", [ "2B", 32, 1 ], [ (   1, 602, 163, 359, 216, 884, 458, 684, 934, 131, 154, 119, 502, 535, 442, 248,  13, 274, 507, 920, 905, 404, 217, 592, 441)(   2, 333, 789, 876, 703, 530, 899, 843, 160,  72, 292, 215, 186, 912, 199, 875, 253, 327, 265, 914, 161,  34,  97, 758, 149)(   3, 357, 606, 332, 761, 180, 688, 943,1001, 354, 107,   7, 239, 733, 862, 900, 221, 846,  73, 200, 842, 619,  16, 347, 103)(   4, 378, 749, 791, 869, 985, 364, 187, 740, 924, 471, 618,  41, 482, 913, 954, 523,1002, 822, 261, 156, 389, 701, 159,  86)(   5, 250, 240, 845, 558, 640, 317, 697, 331,  76,  92, 476, 877, 871,  45, 461, 657, 473, 294, 130, 780, 379, 470, 243,  99)(   6, 128,1005,  98, 628, 353, 986, 691, 702,  96, 467, 196, 863, 454, 652, 365, 755, 621, 828, 774, 511, 976, 687, 776, 337)(   8, 710, 625, 491, 623, 498, 968, 800, 709, 268, 675, 742, 381, 374,  77, 772, 631, 173, 782,  95, 133, 654, 723, 460, 396)(   9, 576,1000, 309, 377, 949, 392, 432,  35, 479, 764, 677, 361, 233,  24, 427, 397,  11,1017, 100, 833, 729, 463, 793, 955)(  10, 434, 713, 531, 812,  48,  85, 743, 541, 930,  55, 227, 745, 324, 689,  54, 175, 438, 757, 835, 505, 916,1020, 401, 338)(  12, 120, 763, 407, 188, 836,  53, 950, 678, 299, 851, 600, 142, 783, 183, 567, 252, 670, 965, 577, 829, 668, 765, 894, 732)(  14, 694, 941,  22, 197, 405, 398, 228,1009,1016, 371,1015, 341,  37, 406, 230, 712, 590, 645, 821, 436, 942, 882, 291, 716)(  15, 247, 624, 118, 748, 171, 715, 770, 380, 864, 617, 302, 363, 303, 174, 418, 693, 222, 910,  83, 766, 604, 714, 730, 335)(  17, 117, 350, 203, 189, 598, 213, 288, 895, 493, 977, 533, 121, 866, 841, 446, 484, 557, 727, 939, 106, 304,  56, 368, 847)(  18, 695, 664,  78, 185,  88, 953, 488, 395, 296, 728, 890, 166, 632, 158, 879, 831, 718,  40, 153, 281, 165, 901, 648, 340)(  19, 152, 818, 172, 751, 440, 516, 356, 679, 141, 417,  80, 945, 271, 809, 903, 981, 826, 129, 853, 786, 819, 143, 506, 111)(  20, 373, 431, 978, 210, 399, 184, 608,  68, 998, 115, 599, 450, 932, 278, 587,  47,1019, 736, 580, 995, 859, 594, 636, 123)(  21, 560, 226, 810, 236, 522, 254, 896,1010, 346, 967, 885, 573, 556, 583, 667, 982, 477, 958, 283, 642, 255, 298, 750, 449)(  23, 150, 644, 487, 779, 726, 234, 690, 369, 787, 650, 672, 911, 937,1006, 614, 984, 735, 769,  27, 555, 306, 326, 238, 708)(  25, 179, 897, 546, 443, 993, 805, 566, 372,1004, 321,  82, 768, 276, 198, 921, 425, 494, 908, 466, 739, 289, 342, 101, 700)(  26,  60,1007,  46, 433, 503, 520, 974,  58, 108, 320, 102, 940, 991, 784, 262, 219, 928, 830, 970, 646, 295,  31, 834, 237)(  28, 744, 157, 485, 931, 820, 388, 552, 500, 282, 923, 206,  70, 229, 256, 584, 870, 483, 804, 343, 738,  79, 839, 887, 134)(  29, 545, 548, 814, 919, 641, 394, 589, 472, 322, 270, 699, 622, 384, 501, 313, 409, 137, 155, 367, 593, 525, 706, 504, 607)(  30, 963, 927, 671, 232, 893, 609, 314, 551, 113, 194, 802, 565, 212, 891, 235, 680, 284, 669, 387, 754, 746, 816, 597, 177)(  32, 358, 140, 626, 825, 873, 202, 578, 788, 544,  52, 510, 393, 988, 771, 611, 305, 574, 777, 798, 376, 575, 266, 724, 817)(  33, 696, 759, 170,1023, 909, 437, 526, 561, 582, 815, 386, 490, 517, 144,  90, 922, 532, 286, 811, 638, 661, 355, 773,1008)(  36,  39, 790, 136, 448, 414, 854, 850, 499, 279, 799, 164, 581, 872, 375, 692, 813, 480, 167, 553, 146, 803, 444, 880, 112)(  38, 886, 550, 971, 538, 325, 540,1021, 383, 280, 452, 225, 489, 731, 658, 390, 612, 906, 980, 603, 514, 453,  63, 682, 683)(  42, 960, 462,  57,  67, 797, 964, 519, 868, 263, 334, 639,  65,1012, 208, 416, 524, 110, 218, 220, 190, 637,  71, 481, 801)(  43, 627, 421, 429, 242, 613, 547, 275, 615, 852, 391, 725, 633, 948, 559, 400, 413, 138, 349, 933, 176, 518, 861, 310, 352)(  44, 935, 329, 191, 529, 569, 721, 707, 760, 572, 251, 316, 537,  74,  91, 439, 539, 926, 987, 936, 705, 328, 424,  89, 973)(  49, 315, 464, 330, 382, 211, 293, 455, 162, 257, 663, 938, 756, 660, 527, 178, 681,  84, 269, 323, 495, 515, 888, 858, 536)(  50, 474, 151, 857, 193, 616, 720, 139, 521, 952, 947, 966, 116, 277, 348, 403, 351, 260, 562,1003, 956, 655, 568,1022,  75)(  51, 676, 195, 512, 961, 585, 962, 135, 244, 824, 643, 630, 486, 285, 685, 554, 267, 204, 946, 290, 311, 478,1014,  94, 214)(  59, 666, 528,  66, 673,  69, 951, 992, 249, 411, 929, 659, 957, 719,  61, 972, 258, 752, 362, 513, 722, 762,1011, 653, 168)(  62, 975, 827, 385, 840, 994, 456, 610, 415, 125,  81, 435, 747, 781, 925, 534, 832, 874, 795, 169, 796, 445, 543, 509, 792)(  64, 224, 717, 794, 767, 300, 223, 570, 182, 370, 586, 264, 475, 201, 823, 601, 297, 428, 865, 915, 420, 665, 273, 990, 469)(  87, 918, 272, 459, 711,1024, 105, 366,1013, 944, 904, 148, 775, 259, 635, 907,  93, 245, 629, 737, 849, 319, 785, 837, 542)( 104, 674, 588, 465, 307, 312, 192, 997, 410, 336, 883, 778, 878, 126, 889, 898, 345, 620, 563, 318, 408, 591, 989, 402, 855)( 109, 231, 241, 662, 360, 686, 647, 999, 579, 704, 860, 122, 649, 996, 447, 339, 698, 838, 132, 549, 902, 867, 881, 806, 508)( 114, 451, 564, 246, 301, 492, 497, 423, 457, 844, 209, 605,1018, 807, 571, 344, 207, 205, 308, 734, 412, 969, 426, 959, 596)( 124, 595, 741, 651, 917, 430, 856, 656, 753,1025, 983, 979, 419, 634, 808, 287, 848, 147, 145, 496, 422, 468, 892, 127, 181), (   1, 172, 205,1007, 632, 417, 932, 906, 879, 339, 707, 812, 234, 533, 923, 188, 792, 185, 940, 479, 485,  87, 705, 290, 233, 175, 939, 354, 245, 419, 899)(   2, 293, 469, 147, 897, 758, 958, 516,  77, 341, 119, 667, 895, 564,  84, 155, 788, 850, 853, 195, 591, 781, 866, 447, 263, 983, 918, 796, 254, 273, 556)(   3, 727, 501, 619, 778, 672, 884, 682, 634, 366, 416, 214,   8, 747, 688, 546, 373, 471, 710, 395, 806,  58, 391, 555, 868, 841, 189, 563, 653, 746, 544)(   4, 641, 976, 690, 139, 424, 456, 508, 590, 579, 496, 981, 633, 524, 499, 483,  70, 248, 892, 600, 561, 821, 237, 321,1014, 903, 383, 504,  73, 596, 525)(   5,1025, 232, 604, 811, 777, 327, 176, 599,  30, 593, 179, 266, 277, 153, 613,  91, 362, 363, 839, 902, 106,1010, 167, 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PRIMGRP[1030]:= 
[[1, Factorial(1030)/2,1,"2",[[1029,1]],1028, "Alt(1030)", ["A",1030, 1], "Alt"],
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PRIMGRP[1031]:= 
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[ 3, 1121621280, 0, "2", [ [ 1039, 1 ] ], 3, "PGL(2, 1039)", [ "L", [ 2, 1039 ], 1 ], "pgl" ],
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[6, Factorial(1040)/2,1,"2",[[1039,1]],1038, "Alt(1040)", ["A",1040, 1], "Alt"],
[7, Factorial(1040),0,"2",[[1039, 1]],1040, "Sym(1040)", ["A",1040, 1], "Sym"]];
PRIMGRP[1041]:= 
[[1, Factorial(1041)/2,1,"2",[[1040,1]],1039, "Alt(1041)", ["A",1041, 1], "Alt"],
[2, Factorial(1041),0,"2",[[1040, 1]],1041, "Sym(1041)", ["A",1041, 1], "Sym"]];
PRIMGRP[1042]:= 
[[1, Factorial(1042)/2,1,"2",[[1041,1]],1040, "Alt(1042)", ["A",1042, 1], "Alt"],
[2, Factorial(1042),0,"2",[[1041, 1]],1042, "Sym(1042)", ["A",1042, 1], "Sym"]];
PRIMGRP[1043]:= 
[[1, Factorial(1043)/2,1,"2",[[1042,1]],1041, "Alt(1043)", ["A",1043, 1], "Alt"],
[2, Factorial(1043),0,"2",[[1042, 1]],1043, "Sym(1043)", ["A",1043, 1], "Sym"]];
PRIMGRP[1044]:= 
[[1, Factorial(1044)/2,1,"2",[[1043,1]],1042, "Alt(1044)", ["A",1044, 1], "Alt"],
[2, Factorial(1044),0,"2",[[1043, 1]],1044, "Sym(1044)", ["A",1044, 1], "Sym"]];
PRIMGRP[1045]:= 
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[2, Factorial(1045)/2,1,"2",[[1044,1]],1043, "Alt(1045)", ["A",1045, 1], "Alt"],
[3, Factorial(1045),0,"2",[[1044, 1]],1045, "Sym(1045)", ["A",1045, 1], "Sym"]];
PRIMGRP[1046]:= 
[[1, Factorial(1046)/2,1,"2",[[1045,1]],1044, "Alt(1046)", ["A",1046, 1], "Alt"],
[2, Factorial(1046),0,"2",[[1045, 1]],1046, "Sym(1046)", ["A",1046, 1], "Sym"]];
PRIMGRP[1047]:= 
[[1, Factorial(1047)/2,1,"2",[[1046,1]],1045, "Alt(1047)", ["A",1047, 1], "Alt"],
[2, Factorial(1047),0,"2",[[1046, 1]],1047, "Sym(1047)", ["A",1047, 1], "Sym"]];
PRIMGRP[1048]:= 
[[1, Factorial(1048)/2,1,"2",[[1047,1]],1046, "Alt(1048)", ["A",1048, 1], "Alt"],
[2, Factorial(1048),0,"2",[[1047, 1]],1048, "Sym(1048)", ["A",1048, 1], "Sym"]];
PRIMGRP[1049]:= 
[[ 1, 1049, 3, "1", [ [ 1, 1048 ] ], 1, "C(1049)", [ "Z", 1049, 1 ], [  ] ],
[ 2, 2098, 2, "1", [ [ 2, 524 ] ], 1, "D(2*1049)", [ "Z", 1049, 1 ], [ [ [ Z(1049)^524 ] ] ] ],
[ 3, 4196, 2, "1", [ [ 4, 262 ] ], 1, "1049:4", [ "Z", 1049, 1 ], [ [ [ Z(1049)^262 ] ] ] ],
[ 4, 8392, 2, "1", [ [ 8, 131 ] ], 1, "1049:8", [ "Z", 1049, 1 ], [ [ [ Z(1049)^131 ] ] ] ],
[ 5, 137419, 2, "1", [ [ 131, 8 ] ], 1, "1049:131", [ "Z", 1049, 1 ], [ [ [ Z(1049)^8 ] ] ] ],
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PRIMGRP[1066]:= 
[[ 1, 10151968619520, 1, "2", [ [ 729, 1 ], [ 336, 1 ] ], 1, "POmega-(8,3)", [ "2D", [ 4, 3 ], 1 ], [ (   1, 359, 390, 331, 486,  89,  41, 245, 262, 710, 115, 808, 266, 549, 265, 513, 833, 739, 649, 471, 878,1032, 551, 125, 957, 777, 205, 122, 638, 655, 864, 627, 550,   6, 729, 402, 496, 508, 574, 658, 150)(   2, 253,1049,1055,1056,1007, 460, 453, 880, 802, 244, 362, 897, 500, 629, 490,  87, 871, 640, 909, 849, 691, 353,  55, 440, 435, 360, 321, 732, 950,  27, 774, 557,  50, 192, 689,1004, 688,  34,1013, 834)(   3,   4, 470, 116, 744, 472, 400, 312,  51,  82,1035, 120, 989, 595, 637, 624, 412, 532, 187, 718, 825, 482, 826, 556, 696, 499, 452, 475, 225,  25, 757, 526, 956, 662, 326, 443, 705, 170, 965,  36, 597)(   5,1052, 469, 237,  64,1009, 762, 239,  19,  78, 502, 807, 838, 374, 587, 567, 886, 381,  29,  11, 960, 547, 905, 733, 746, 779, 852, 699,  93, 760, 413, 106, 843, 949, 791, 911, 907, 463, 819,  70, 540)(   7, 226,  72, 129, 158,  26, 267, 184,  20,  97, 300, 697, 874,  44, 383,  13, 910, 449, 994,  69, 512, 590, 361,1037, 418, 368, 524, 626, 203, 934,  53, 585, 310, 135, 870, 385, 786, 365, 329, 492, 820)(   8, 364, 769, 713, 299, 634, 882, 604, 142, 609, 143, 477,  56, 117, 615, 951, 916, 755, 850, 174, 970,  79, 851, 894, 876, 758, 583,  86,  83, 211, 356, 555, 119,  98, 816, 663, 719, 304,1027, 346, 682)(   9, 795, 441,  91, 667, 317,1019, 335, 377, 251, 987, 670, 164, 656, 651, 645,1057, 887, 538, 793,  73, 139, 409, 238, 742, 593, 280, 307, 562,1044, 559,1063, 908, 110, 224,  85, 242, 607, 809, 466, 422)(  10, 278, 969,1041, 924, 598, 272, 848, 781, 369, 823, 967, 912, 712, 144, 780, 664, 257, 723, 491, 198, 588, 243, 612, 161, 885, 320, 510, 740, 759,1046, 420,1022, 890, 561, 102,1062, 937, 961, 519, 666)(  12, 872, 355, 853, 196, 514, 641, 896, 208,1011, 930, 594, 941, 584, 863, 936, 218, 737, 459, 654, 214, 884, 630, 975, 344,  22, 498, 193, 108,1018, 375, 613,1054, 861, 544, 352, 873, 426, 616, 415, 671)(  14, 223, 855, 716, 573,  30, 228, 810, 392, 432, 403, 349, 792, 145, 614, 113,  39, 686, 229, 904, 295, 528, 314, 971, 137, 915, 363, 952, 261, 709, 481, 854, 533, 127, 431, 523, 288, 134, 844, 726, 163)(  15, 246, 563, 522, 358, 625, 999, 493, 704, 511, 548, 681, 846, 866,1064,  94,1002, 406, 787,  66, 702, 974, 133, 285, 785, 722, 818, 620, 841,1010, 800, 586, 221, 342, 425, 384,1029, 327, 539, 367, 569)(  16, 660, 485, 543, 398, 393, 315, 318, 520, 336, 126, 541, 168,1031,  18, 388, 101, 178, 790,  23,1042, 973, 376, 219,1030, 130, 332,1026, 298, 188,1043,1025, 147, 743, 436, 423, 676, 603, 902, 405, 323)(  17,  77, 771,  32, 582, 182, 901, 118, 467, 752, 154, 879, 707, 107, 123, 136, 914, 703, 928,  61, 287, 891, 370, 447, 506, 998, 283, 212, 619, 450, 529, 674, 714, 859,1020, 984, 232, 281, 576, 419, 570)(  21, 395, 829, 959, 536, 324, 958, 546, 814, 417, 380, 721, 410, 389, 181, 600,1048,1008, 727, 171,  81, 687,  45,  80, 305, 847, 111, 748, 282, 167, 736,1065, 217, 503, 647,  40, 194, 445, 679, 534,  33)(  24, 935, 155, 457, 311, 166, 414, 715, 394, 456,1014,  38, 832, 754, 434, 222, 530, 479, 429, 708, 731, 711, 659, 693, 146,  96, 351, 964, 877, 124, 929, 254, 366, 105, 560, 558, 201, 391, 264, 775, 206)(  28,  58, 213,1038, 157, 684, 566, 837, 197, 892, 341, 840, 953,  68, 545, 783, 751, 939, 883, 622, 268, 869, 918, 680,1060, 256,1040, 438, 669, 153, 955, 589, 581, 487, 782, 132, 408, 983, 407, 433, 938)(  31, 796, 767, 293, 789, 553, 617, 308, 175, 761, 889,1000,  43, 893, 857, 921, 917, 931, 263, 868, 986, 830, 497, 465, 156, 387, 801, 552, 906, 811, 461, 572, 568, 138, 784, 209, 128,1053, 379, 515, 159)(  35, 416, 919, 505, 677, 442, 554, 945, 231, 817, 234,1045, 103,  48, 639, 296, 185, 926, 309, 592, 996, 750, 881, 277, 204, 963, 104, 623, 286,  88, 698, 991, 284, 749, 347, 860,  49, 507, 424, 297, 813)(  37, 258, 632, 260, 152, 815, 606, 319, 995, 824, 856, 271, 401, 464, 165, 648, 673,1015, 741, 220, 179, 527, 770, 898,  57, 114, 397, 596,  54, 494,1006, 946, 888, 542, 504, 962, 694, 316, 172, 259, 372)(  42, 865, 968, 805, 411, 706, 683, 340, 895, 913, 966, 199, 797, 462, 291, 993,  71, 303, 668, 480, 162, 611, 822, 148,  47, 933, 992, 972, 635, 678,1047, 610, 437, 247, 373, 109, 661, 794, 112, 421, 942)(  46, 294, 378,1039, 978, 292, 717, 121, 333, 169, 720, 564, 695, 289, 642, 745, 455, 100, 763, 489, 354, 602, 903, 756, 900, 845, 875, 270, 474,  75,1050, 207,  92, 977, 339, 685, 535, 301, 580,  95, 575)(  52, 976, 799, 160, 804,  76, 831,  63, 943, 618,1023, 768, 371, 925, 922, 195,1001, 571, 747, 334,1024, 675, 839, 858, 248, 240, 404,1059, 516, 458,  67, 483, 940, 997, 302, 646, 652, 665,1061, 531, 476)(  59, 501, 338, 473, 330, 276, 337, 350, 773, 357, 867, 835, 313, 202, 954, 141, 725, 982, 509, 577, 210, 578, 985, 836, 827, 488, 345, 692, 644, 806, 448, 236, 803, 348, 191, 842, 944, 478, 980, 177, 700)(  60, 517, 290, 518, 183, 579, 454, 621, 521, 537,1012,  99, 151, 430, 927, 484, 948,1033, 325,1017, 753,  74, 601, 672, 730, 734, 828, 250, 988,1016,  65, 772, 628, 636, 176, 981, 525, 444, 591, 180, 189)(  62, 643,  90, 631, 690, 186, 249, 764, 428, 230,1058, 131, 343, 274, 701, 724, 252, 255, 190, 947, 273, 599, 386, 446, 328,1021,1036, 788, 233, 821, 650,1028, 862,1051, 427, 382, 451, 200, 306, 766, 633)(  84, 923, 778, 776, 920, 396,1003, 979, 322, 798, 565, 812, 173, 215, 149, 279,1034, 735, 439, 235, 269, 140, 275,1005, 241, 657, 216, 728, 495,1066, 899, 468, 608, 399, 605, 738, 227, 932, 653, 765, 990), (   1, 640, 746, 873,  23, 944,  77, 948, 835,  87, 926, 562, 909, 785, 150)(   2, 590, 244, 492, 777, 316, 342, 457,  79, 769, 700, 173, 617, 153, 801)(   3, 191, 977, 461, 219,1054, 748, 451, 220, 235,  10,  22,  64, 791, 821)(   4, 211, 293, 908,  45, 120,1020, 787,  11, 824,1061,  33, 599,  83, 258)(   5, 915, 311, 610, 226, 672, 725, 783, 836,1028, 982, 507, 105, 688, 682)(   6, 551, 399, 518, 291, 897, 151, 192, 722, 827, 334, 841, 733, 864, 549)(   7, 201, 124, 970, 602, 815, 500, 215, 542, 462, 361,1015, 879, 125, 752)(   8, 245, 242, 483, 860, 639,  31, 744, 158, 613, 957,1004, 305, 775, 677)(   9,1045, 635, 310, 374, 571,1000, 717, 459, 514,  52, 975, 666, 591, 142)(  12, 966, 622, 443, 615, 882, 195, 845, 958, 687, 358, 439, 586, 251,1012)(  13, 870, 129, 315, 354,  30, 223,1044, 349, 840, 962, 632, 625, 871, 704)(  14, 715, 110,  94, 931, 557, 505, 237, 272, 929, 286, 119, 368, 362, 774)(  15, 413,  89)(  16,  54, 391, 422, 474, 101, 574, 194, 323, 678, 862, 866, 946,1056, 875)(  17, 664,  57, 506, 784, 238, 767, 369, 954, 116, 806, 231,1051, 409, 705)(  18,  44, 494, 825, 606, 296, 671, 152, 838, 180, 243,  60, 154, 901, 720)(  19, 567, 921, 811, 416, 920, 647, 380, 676, 528, 324, 979, 637, 487, 961)(  20, 468, 568, 663, 466, 360, 388,  69, 187,  51, 339, 669, 524, 701, 246)(  21, 575, 178, 992,1025)(  24, 986, 888, 281, 176,1064, 397, 106, 907, 367, 437, 652, 163,  93, 930)(  25, 851, 878, 788,  75, 816, 582, 438, 592, 754, 104, 536,  72, 540, 312)(  26, 351,1021, 820, 627)(  27,1043, 805, 365, 593, 510, 996, 892, 121, 260, 702, 967, 853, 490, 480)(  28, 350, 738, 520, 264, 807, 844, 255, 570, 472, 336, 694,  42, 750,1050)(  29, 196, 544, 584, 847, 147, 843,1042, 780, 661, 956, 498, 127,  81, 533)(  32, 539, 352,1049, 927,  95, 376, 204, 968, 904,  88, 458,  43,1013, 735)(  34, 793, 411, 304, 732, 812, 608, 174, 963, 660, 280, 453, 850, 265, 288)(  35, 112, 109, 160, 933, 833,1005, 482, 818, 172, 517, 203, 809, 432,  49)(  36, 230, 768, 319, 740, 937, 749, 344, 366, 386, 375, 139, 256, 989, 464)(  37,  62, 427, 503, 403, 197, 876, 988,1003, 778, 998, 577, 382, 488, 149)(  38, 813, 657, 114, 650, 861, 600, 831, 401, 556, 283, 259, 421, 923, 849)(  39, 167, 936, 317, 899, 165, 326, 182, 918, 642, 949, 830, 619, 486, 429)(  40, 452, 697,1037, 193, 262, 449,1065, 489, 208,1041, 794, 389, 134, 773)(  41, 607, 896)(  46, 445, 309, 727, 159, 206, 143, 473, 476, 113, 560, 320, 729,  48, 177)(  47, 917, 973, 579, 278, 924, 646, 308, 321, 834, 629, 179, 566, 898, 373)(  50,  76,1066, 761, 951, 943, 683,  53, 145, 469, 594,1030, 162, 183, 252)(  55, 569, 111, 900, 789,  61,  80, 718, 906, 852, 656, 295, 279, 765, 804)(  56, 563, 633, 248,  67, 407, 418, 294, 383, 530, 267, 728, 410, 614, 662)(  58, 269, 408, 890, 327, 371, 858, 107, 723, 698, 932, 213, 856, 634, 955)(  59, 433, 779, 819, 699, 156, 322, 925, 758, 601, 261, 188, 868, 941, 353)(  63, 934, 588, 257, 253, 922, 340, 991,  92, 772, 707, 496, 387,1024, 221)(  65, 753, 621, 170, 889, 786, 641, 997,  90, 372,  91, 609, 138, 739, 491)(  66, 455, 168, 895, 952, 527, 969,1038, 658, 680, 942, 446, 381, 348, 597)(  68, 628, 703,1029, 555)(  70, 346, 681, 734, 747, 624, 200, 630, 751, 814, 123, 532, 644, 940, 881)(  71, 108, 731, 673, 810, 513, 965, 484, 874, 559, 886, 428, 543, 670, 564)(  73, 132, 581, 216, 478,1062, 771, 217, 620, 817, 576, 708, 867, 974, 164)(  74, 415, 450, 604, 611, 826, 406, 913, 745, 589, 467, 935, 580, 689, 987)(  78, 186, 357, 764, 512)(  82, 829, 947, 423, 314, 910, 414, 695, 719, 692, 393, 548, 502, 832, 919)(  84,1016, 302, 404,1008, 128,1026, 585, 341,1052, 100,1053, 709, 430,1014)(  85, 298, 645, 800, 504, 891, 225, 626, 285,1007, 363, 985, 828, 400, 222)(  86, 598, 277, 721, 236, 980, 268,1002, 565, 912, 233,1060, 545, 803, 444)(  96, 130, 137, 855, 475)(  97, 522, 118, 126, 301, 140, 541, 726, 333, 714,1048, 770, 759, 859, 902)(  98,1040, 465, 171, 103, 209, 329, 270, 420, 995,1019, 218, 893, 737, 247)(  99, 558, 184, 612, 686, 493, 508, 328, 808, 115,1055, 903,1027, 605, 782)( 102,1047, 479, 207, 303, 202, 993, 470, 596, 561, 463, 990, 516, 189, 685)( 117, 501, 157, 273, 227, 796, 837, 674, 338, 276, 335, 546, 964, 846, 790)( 122, 210, 616, 396, 911, 798, 668, 684, 497, 583, 144, 880,1023, 883, 712)( 131, 537,1006,1031, 241)( 133, 343, 234, 766, 141, 228, 994, 424, 266, 297,1059, 250, 938, 495, 795)( 135, 756, 960, 538,1010, 757, 359, 477, 434, 254, 485, 155, 161,1046, 282)( 136, 776,1022, 842, 799, 330, 212, 572, 436, 175, 762, 659, 271, 499, 521)( 146, 509, 370, 578, 885, 448, 300, 394, 385, 887, 318, 690, 290, 249, 854)( 148, 284,1009, 822, 454)( 166, 364,1036, 877, 651)( 169, 395, 950, 332,1033, 679, 356, 534, 299, 214, 916, 978, 306, 984, 511)( 181, 552,1057,1018, 412)( 185, 839, 797, 224, 274, 711, 654, 706, 232, 675, 872, 691, 263, 823, 763)( 190,1034,1011,1058, 724, 716, 337, 515, 535, 355, 914, 405, 649, 618,1035)( 198, 573, 653, 972, 638, 289, 636, 553, 292, 481, 976,1063, 953, 325, 983)( 199, 743, 240)( 205, 460, 643, 623, 595, 287,1001, 347, 755, 869, 928, 471, 760, 696, 431)( 229,1032, 398)( 239, 417, 392, 603, 884)( 275, 802, 425, 419, 435)( 307, 378, 971, 379, 550)( 313, 442, 665,1039, 981, 447, 667, 531, 440, 526, 905, 857, 999, 713, 529)( 331, 554, 959, 710, 390)( 377, 693, 523, 456, 741)( 384, 939, 894, 781, 648)( 402, 730, 945, 441, 525)( 426, 655, 865, 736, 742)( 547, 863, 848, 792, 631) ] ],
[ 2, 20303937239040, 0, "2", [ [ 729, 1 ], [ 336, 1 ] ], 1, "POmega-(8,3):2", [ "2D", [ 4, 3 ], 1 ], [ (   1,1058, 913, 831)(   2, 422, 690, 757,  92, 587,   8, 785)(   3, 256, 476, 756, 309, 150, 503, 951)(   4, 147, 185, 962, 675, 717, 365, 877)(   5,  87, 838, 612, 429, 716, 846, 375)(   6, 898, 435, 564, 247,1018,  12, 141)(   7, 778, 156, 411, 634, 833, 111, 164)(   9, 883, 228, 645, 339, 932, 194, 579)(  10, 418, 927, 726, 338, 513, 899, 315)(  11, 660, 628,1047, 347, 117, 403,1033)(  13, 407, 267, 908, 126,  59,  89, 813)(  14, 324, 487, 773, 603, 682, 496,1030)(  15, 261,1037, 145, 279, 417, 732, 526)(  16, 917, 470, 450,  38, 863, 116, 290)(  17, 829, 330,  48, 681,1021, 387, 326)(  18, 751, 193, 439, 708,1015, 355, 303)(  19, 997, 325, 216, 167, 857, 488, 200)(  20, 265, 754, 530, 166, 234, 780, 459)(  21, 292, 508, 995, 177, 171, 196, 824)(  22, 270, 556, 753, 285, 691,  28,1032)(  23,  41,  66, 901, 455, 358, 282, 998)(  24, 469, 680, 794, 616,  60, 400, 807)(  25, 208,1004, 694,  81, 631, 992, 211)(  26,1042, 155, 118, 404, 823, 449,  99)(  27,1051,  70, 250, 582, 743, 665, 191)(  29, 782, 467, 379, 478,1048, 354,  97)(  30, 688, 854, 618, 477, 112, 760, 207)(  31, 595, 679, 808, 483,  53, 246, 742)(  32, 821, 329, 638, 350, 929, 302,  69)(  33, 830, 528, 165, 314, 791, 401, 328)(  34, 383, 558, 801, 727, 545, 123, 933)(  35, 512, 890, 370, 575, 657, 954, 543)(  36, 276, 948, 381, 441, 312, 988,  44)(  37, 818, 218, 132, 707, 812, 253, 687)(  39, 955, 674, 188, 560, 769, 258, 684)(  40,  93, 950, 551, 490, 299, 986, 174)(  42, 283, 826, 230, 262, 643, 841, 263)(  43,1056, 509, 542, 572, 787, 361, 179)(  45,1055, 170, 182, 130,1031, 197, 626)(  46, 158,  63, 789, 615, 554,  54, 800)(  47, 521, 969, 613, 240, 311, 942, 205)(  49, 446, 781, 527, 190, 242,1062,  51)(  50, 415, 696, 843, 608, 206, 427, 771)(  52, 715, 254, 842, 341, 351, 172, 936)(  55, 729, 845, 416, 251,  90, 852, 510)(  56, 704, 306, 837, 730, 332, 632,1061)(  57, 359, 584, 909, 601, 249, 425, 748)(  58, 750, 195, 569, 287, 799, 649, 109)(  61, 461, 629, 923, 391, 215, 248, 856)(  62, 617,1022, 152, 257, 592, 749, 723)(  64,1000, 345, 300, 394, 984, 599, 534)(  65, 202, 442,1043, 237, 549, 146, 810)(  67, 875, 570, 245, 284, 994, 714, 605)(  68, 323,1017, 278, 514, 293, 881, 462)(  71,  82, 973, 720, 424, 229, 855, 609)(  72, 546,1014, 553, 689, 722, 740, 131)(  73, 941, 336, 473, 264, 972, 644, 673)(  74, 784, 259, 501, 635, 815, 590, 307)(  75, 103, 433,1065, 703, 648, 678,1027)(  76,1006, 664, 169, 565, 790, 426, 317)(  77, 982, 724, 557, 456, 739, 721, 260)(  78, 718, 965, 274, 137, 275, 862, 518)(  79, 627, 737, 725, 498, 356, 868,  84)(  80, 349, 321, 805, 138,  96, 436,1060)(  83, 939, 352, 384, 410, 912, 106, 440)(  85, 308, 523, 966, 443, 213, 663, 786)(  86, 519, 788, 547, 583, 144,1063, 686)(  88, 298,1028, 532, 574, 566, 779, 175)(  91, 811, 396, 243, 268, 949, 217, 399)(  94, 926, 550, 367, 142,1013, 362, 713)(  95, 728, 460, 809, 672, 668, 468, 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[3, Factorial(1071)/2,1,"2",[[1070,1]],1069, "Alt(1071)", ["A",1071, 1], "Alt"],
[4, Factorial(1071),0,"2",[[1070, 1]],1071, "Sym(1071)", ["A",1071, 1], "Sym"]];
PRIMGRP[1072]:= 
[[1, Factorial(1072)/2,1,"2",[[1071,1]],1070, "Alt(1072)", ["A",1072, 1], "Alt"],
[2, Factorial(1072),0,"2",[[1071, 1]],1072, "Sym(1072)", ["A",1072, 1], "Sym"]];
PRIMGRP[1073]:= 
[[1, Factorial(1073)/2,1,"2",[[1072,1]],1071, "Alt(1073)", ["A",1073, 1], "Alt"],
[2, Factorial(1073),0,"2",[[1072, 1]],1073, "Sym(1073)", ["A",1073, 1], "Sym"]];
PRIMGRP[1074]:= 
[[1, Factorial(1074)/2,1,"2",[[1073,1]],1072, "Alt(1074)", ["A",1074, 1], "Alt"],
[2, Factorial(1074),0,"2",[[1073, 1]],1074, "Sym(1074)", ["A",1074, 1], "Sym"]];
PRIMGRP[1075]:= 
[[1, Factorial(1075)/2,1,"2",[[1074,1]],1073, "Alt(1075)", ["A",1075, 1], "Alt"],
[2, Factorial(1075),0,"2",[[1074, 1]],1075, "Sym(1075)", ["A",1075, 1], "Sym"]];
PRIMGRP[1076]:= 
[[1, Factorial(1076)/2,1,"2",[[1075,1]],1074, "Alt(1076)", ["A",1076, 1], "Alt"],
[2, Factorial(1076),0,"2",[[1075, 1]],1076, "Sym(1076)", ["A",1076, 1], "Sym"]];
PRIMGRP[1077]:= 
[[1, Factorial(1077)/2,1,"2",[[1076,1]],1075, "Alt(1077)", ["A",1077, 1], "Alt"],
[2, Factorial(1077),0,"2",[[1076, 1]],1077, "Sym(1077)", ["A",1077, 1], "Sym"]];
PRIMGRP[1078]:= 
[[1, Factorial(1078)/2,1,"2",[[1077,1]],1076, "Alt(1078)", ["A",1078, 1], "Alt"],
[2, Factorial(1078),0,"2",[[1077, 1]],1078, "Sym(1078)", ["A",1078, 1], "Sym"]];
PRIMGRP[1079]:= 
[[1, Factorial(1079)/2,1,"2",[[1078,1]],1077, "Alt(1079)", ["A",1079, 1], "Alt"],
[2, Factorial(1079),0,"2",[[1078, 1]],1079, "Sym(1079)", ["A",1079, 1], "Sym"]];
PRIMGRP[1080]:= 
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754, 788, 366)( 310, 363, 493, 881, 771, 764, 940, 583, 974)( 829,1024) ] ],
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697,1056, 500, 433,1052, 640, 821, 383, 911)(  68, 741, 361, 575, 918, 440, 277, 489, 385, 298,  70,1026,1005)(  71, 693, 231, 249, 719, 906, 439, 467, 363,1028, 499,1033, 768)(  76, 427, 700, 548, 196, 190, 652, 929, 155, 485, 240, 842, 736)(  79, 874, 742, 999, 580, 958, 532,1043, 770,1029, 390, 662, 887, 712, 802, 912, 241, 645, 130, 207, 743, 613, 284, 156, 134, 415)(  80, 496, 417,1073, 458, 253, 795, 794, 627, 150, 710, 612, 410, 982, 995, 531, 167, 861, 193, 836, 265, 763, 764, 139, 304,1024)(  81, 157, 937, 790, 127, 408,1070, 620, 371, 705, 744, 428, 792, 735, 279, 738, 102, 769, 566, 280, 931, 132, 951, 552, 599, 373)(  86,1045, 133, 827, 267, 807, 667, 113, 278, 585, 164,1054, 181, 633,1058,1019,1007, 737, 216, 657, 187, 355, 596, 210, 972, 704)(  90, 801, 950, 179, 804, 448, 983, 799, 838, 123, 959, 758, 313, 273, 180, 524,1080,1076, 916, 336, 752,1079, 574, 198, 379, 618)(  91,1060, 535, 109, 334, 757, 129, 992, 100, 327, 584, 214, 563)(  95, 934, 882, 854, 320, 759, 809, 647, 189, 502, 197, 229, 598)( 108, 978, 841, 670, 479, 488, 591, 673, 824, 562, 270, 586,1078, 215, 833, 429, 149,1027, 945, 900, 826, 465, 653,1066, 430, 115)( 121, 480, 665, 539, 203, 806, 384, 810, 331, 251, 684, 261, 456, 876, 375, 199, 923,1063, 803, 392, 289, 459, 714, 504, 949,1032)( 138, 893, 507, 837,1034, 907,1021, 905, 960, 651, 335, 917, 316)( 170,1044, 661,1006, 232, 964, 919, 359, 348, 993, 286, 796, 369)( 191, 248, 933, 840, 333, 725, 220, 897, 614, 205, 605, 863, 868)( 296, 414, 977, 626, 329,1068,1014, 816, 594, 530, 349,1061, 307), (   1,  43, 537, 364,  66, 340, 764, 336, 379,  45, 300, 123)(   2, 937,  15, 230, 422,1074, 297, 706, 395,   3, 797, 732)(   4, 506, 375, 730, 709,1067, 482,1079, 645, 791, 103, 411)(   5, 775, 596,  54, 719, 677, 169, 463, 521, 966, 889, 997)(   6, 385, 217,  41, 944, 418,1034, 467, 462, 691, 778, 424)(   7, 298, 251,1006, 708,1064, 552, 170, 221, 863, 843, 356)(   8, 409, 281, 139,  13, 127, 684, 171, 694, 452, 337, 519)(   9, 267, 197, 635, 457,  28, 100, 540, 817, 751, 583, 430)(  10, 580, 198, 231, 868, 443,  44, 480,1069, 964,1000, 827)(  11, 263, 215, 838, 412, 996,  95, 894, 565, 932, 929, 859)(  12, 720, 991, 826, 376, 436, 454, 784, 569, 372,1049, 856)(  14, 126, 714, 370, 421, 942,1011, 282, 122, 148, 200, 731)(  16, 761, 242, 405, 304, 120, 909, 712, 522, 445, 553,1018)(  17, 701, 324,  36, 968, 326,1040, 387, 884, 640, 718, 303)(  18, 329, 275, 211, 985, 400, 753,  24, 858, 977, 650, 657)(  19, 204, 145, 591, 865, 895, 883, 345, 662, 516, 328, 955)(  20, 969, 943, 697, 849,1032, 825, 834,  52, 146, 872, 925)(  21, 614, 423, 201, 182, 879,  48,  46, 417, 236, 678, 811)(  22,  70, 357, 602, 362,  23, 186, 936, 536, 515,  57, 501)(  25, 317,1072, 654, 882, 183, 693, 616, 642, 633, 310, 965)(  26, 908,  35, 987, 178, 205, 651, 174, 153, 747, 203, 919)(  27, 261, 897, 293, 257,  63,1060, 207, 349, 916, 869, 705)(  29, 488, 241, 946, 584, 258)(  30, 648, 820, 333, 390, 223, 854, 672, 450,1065, 980, 593)(  31, 239, 224,1021, 723, 228, 104, 926,1077, 396, 299, 627)(  32,  96, 800, 740, 276, 738, 689, 541, 134,  65, 152, 870)(  33, 809, 347, 494,1061, 812, 716, 220,  79, 625, 638, 961)(  34, 793,1050, 520,1035, 474, 674, 973, 381,  71,1063, 824)(  37, 918, 967,  42, 237,  94)(  38, 464, 846, 994, 290, 359, 617,1078, 350, 512,1071,  55)(  39,1062, 399,1057, 378, 816, 561, 631, 168, 632, 427, 907)(  40, 885, 970, 690, 219, 710, 451, 218, 927, 665,  78,1038)(  47, 342, 560, 455, 924,  77, 504, 535, 582, 814,1020, 861)(  49,1027, 107, 852, 588,1029, 507, 841,  93, 149, 172, 318)(  50, 151,1026, 634, 325, 162, 902, 277, 264, 851, 249, 646)(  51,1041, 498, 404,  83, 733, 214, 558, 161, 508,  68, 114)(  53, 173, 933, 101, 663, 721, 286, 316, 227, 609, 185,1080)(  56, 142, 881, 921, 772, 757, 466, 630, 292, 343, 983, 468)(  58, 866, 773, 355, 471, 121, 962, 913, 240, 802, 125, 374)(  59, 415, 700, 354, 110, 655, 266, 790, 661, 129, 623, 957)(  60, 644, 453, 497, 456,  61, 847,1001, 749, 164, 222, 190)(  62,1044, 781, 703,1066, 470)(  64,1039, 117, 649, 352, 592, 141, 748, 821,1004, 742, 726)(  67, 377, 315, 280, 643,1059, 844, 901, 899, 274, 595, 365)(  69, 620, 181, 798, 288, 768, 585, 510, 845, 669, 767, 549)(  72,1009, 109, 559, 383, 934, 234, 527, 717,1036, 605, 332)(  73, 601, 167, 548, 589, 529)(  74, 193, 911, 435, 425, 570, 637,1058,1051, 115, 839, 302)(  75,1014, 481, 484, 581, 736,  84, 295, 612, 704, 489, 296)(  76, 574, 594, 566, 831, 906, 502, 144, 979, 611, 990, 659)(  80, 848, 361, 524, 982, 112)(  81, 922, 743, 575,1073, 177)(  82, 433, 369, 993, 132, 905, 530, 449, 992, 891,1008, 487)(  85, 525,1046, 931, 959, 503, 763, 671, 830,1055, 867,  86)(  87, 626, 819,  98, 610, 780, 759, 917, 175, 382, 216, 573)(  88,  97, 180, 208, 335, 598, 458, 681, 685, 842, 538, 974)(  89, 199, 629, 505, 416, 777, 111,1022, 622, 898, 890, 408)(  90, 137, 438, 196, 338, 398, 963, 892, 147,1031, 157, 119)(  91, 741, 401, 479, 729, 624,1048, 547, 159, 429, 607, 904)(  92, 912, 563, 259)(  99, 789, 853, 448, 156, 128,1070,1054,1076, 285, 523, 444)( 102, 776, 531, 432, 268, 801, 887,1007, 124, 327, 758, 413)( 105, 774, 243, 947, 546, 577, 407, 476, 760, 254, 707, 930)( 106,1010, 840, 534,1023, 543)( 108, 756, 783, 676, 938, 442, 656, 796,1015, 972, 597, 951)( 113, 805, 971, 572, 910, 320, 539, 876, 294, 711, 995, 402)( 116, 160, 179, 202, 989, 279, 855, 308, 713, 273, 857, 431)( 118, 386, 495, 384, 499, 213, 744, 426, 613, 135, 248, 664)( 130, 373, 283, 755, 138, 984, 752, 803, 291, 940, 647, 272)( 131, 619, 782, 389, 509, 765, 158,1016, 893, 191,1003, 331)( 133, 388, 493, 815, 653, 545)( 136, 728, 762,1075, 439, 212, 447, 155,1042, 554, 692, 715)( 140, 725, 941, 920,1056, 621, 567, 262,1002, 250, 485, 194)( 143, 658, 668, 301, 253, 483,1013, 434, 414, 312,1045, 590)( 150, 460, 608, 660, 406, 579, 256, 699, 206, 542, 666, 307)( 154, 437, 953, 496, 952, 603, 478, 822,1068, 195, 306, 564)( 163, 176, 586, 807, 837, 226, 260, 246, 360, 702, 189, 209)( 165, 875, 877, 313, 287, 956)( 166, 271, 469, 319,1005, 441, 935, 818, 486, 511,1033, 769)( 184, 864, 737, 688, 397, 255, 988, 513, 269, 550, 238, 652)( 187, 792, 786, 330, 518, 823, 923, 806, 578,1037, 477, 528)( 188, 896, 235,1047, 771, 986, 289, 615, 461, 465, 440, 682)( 192, 998, 670,1017, 380, 770, 459, 914, 323, 695, 880, 600)( 210, 873, 344, 244)( 225, 813, 604, 673,1028, 958, 628, 683, 284, 544, 229, 799)( 232, 358, 533, 698, 339, 309, 948, 975, 576, 392, 419, 428)( 233, 247, 836, 833,1053, 794)( 245, 366, 473, 871, 745, 636)( 252, 265, 618)( 270, 832, 446, 606, 795, 739)( 278, 351, 954, 348, 599, 915, 874, 641,1012, 500, 341, 311)( 305, 532, 322, 321, 314, 490, 667, 949, 679, 587, 472, 394)( 334, 810, 391, 727)( 346, 939,1024, 878, 978,1025)( 353, 687, 976)( 363, 888, 945)( 367,1030, 785, 928, 850, 526)( 368, 999, 724, 556, 393, 639)( 371, 734, 981, 514)( 403, 517, 686, 722, 571,1043)( 410, 562, 862, 829, 808, 735)( 420,1052)( 475, 950, 886, 960, 491, 754)( 492, 779, 551, 568, 675, 804, 835, 680, 900, 746, 787, 555)( 557, 860,1019)( 696, 766, 903, 788, 828, 750) ] ],
[10, Factorial(1080)/2,1,"2",[[1079,1]],1078, "Alt(1080)", ["A",1080, 1], "Alt"],
[11, Factorial(1080),0,"2",[[1079, 1]],1080, "Sym(1080)", ["A",1080, 1], "Sym"]];
PRIMGRP[1081]:= 
[[ 1, 51888, 1, "2", [ [ 48, 11 ], [ 12, 2 ], [ 24, 22 ] ], 1, "PSL(2, 47)", [ "L", [ 2, 47 ], 1 ], [ (   1,   2,   4,   8,  15,  28,  52,  96, 176, 310, 487, 707,  16,  30,  56, 103, 189, 328, 181, 317, 497, 714, 632)(   3,   6,  12,  22,  41,  76, 139, 248, 264, 153, 271, 437, 654, 873,1030, 848, 988, 380, 526, 749, 944,1031,1058)(   5,  10,  19,  35,  65, 119, 215, 361, 563, 568, 575, 424, 391, 192, 329, 513, 734, 934, 938,1054, 993, 852, 645)(   7,  14,  26,  48,  89, 163, 287, 457, 113, 204, 347, 542, 430, 573, 593, 820, 955, 462,  90, 165, 291, 190, 149)(   9,  17,  32,  59, 108, 106, 195, 333, 520, 742, 649, 238, 396, 562, 467, 681, 553, 411, 620, 846,1017,1064, 803)(  11,  21,  39,  72, 132, 236, 393, 601, 825, 953, 926, 949, 422, 637, 860, 834, 140, 250, 410, 618, 104, 191, 213)(  13,  24,  45,  83, 152, 269, 417, 630, 854, 795, 337, 508,  38,  71, 130, 233,  33,  61, 112, 202, 309, 486, 705)(  18,  34,  63, 115, 208, 352, 549,  57, 105, 193, 330, 515, 735, 851,1019, 716, 339, 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535)(  75, 138, 246, 405, 613, 838,1008, 560, 566, 791, 564, 789, 932,1047, 903, 984, 991, 711, 844,1013, 810, 586, 812)(  77, 141, 251, 412, 621, 124, 196, 335, 524, 747, 255, 418, 409, 503, 720, 580, 758, 685, 897,1021, 940,1055, 690)(  86, 158, 279, 448, 663, 883, 794, 222, 372, 576, 798, 983,1066,1076, 545, 770, 960, 334, 522, 744, 939, 638, 790)(  88, 161, 284, 454, 591, 817, 992,1041, 449, 511, 661, 696, 906, 223, 374, 311, 489, 709, 916, 447, 662, 881, 858)(  97, 178, 313, 491, 627, 376, 285, 456, 577, 799,  99, 182, 319, 500, 717, 307, 442, 660, 809, 608, 833, 753, 947)( 111, 201, 343, 536, 762, 954, 231, 387, 595, 697, 737, 270, 366, 358, 501, 292, 464, 678, 893, 978, 617, 843,1012)( 118, 214, 359, 559, 585, 534, 759, 952, 349, 514, 348, 544, 768, 428, 644, 129, 232, 389, 483, 700, 910, 175, 308)( 131, 220, 162, 286, 155, 274, 441, 659, 878, 465, 434, 650, 869, 247, 406, 488, 708, 915, 886,1035, 927,1048, 972)( 133, 237, 395, 605, 829, 999, 828, 997,1069, 622, 240, 388, 596, 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[ 2, 103776, 0, "2", [ [ 48, 22 ], [ 24, 1 ] ], 1, "PGL(2, 47)", [ "L", [ 2, 47 ], 1 ], [ (   1,   2,   4,   8,  15,  28,  52,  96, 176, 307, 328, 525, 756, 718, 253, 423, 642, 862, 708, 918, 296, 486, 526, 678, 891, 502, 729, 936, 326, 523, 754,  66, 121, 220, 372, 583, 809, 366, 573, 162, 286, 472, 696, 911, 702, 915)(   3,   6,  12,  22,  41,  76, 139, 249, 417, 634, 857,1018, 979,1028,1074,1030, 177, 309, 501, 727, 933, 595, 772, 615, 429, 651, 749,  84, 154, 142, 254, 425, 471, 374, 585, 811, 210, 359, 566, 627, 747, 299, 408, 625, 850, 901)(   5,  10,  19,  35,  65, 119, 216, 367, 575, 606, 835,   7,  14,  26,  48,  89, 163, 287, 473, 698, 861,1023, 282, 465, 542, 773, 604, 833, 562, 790, 976, 690,  23,  43,  80, 146, 133, 239, 221, 350, 553, 783, 899, 505, 732, 852)(   9,  17,  32,  59, 108, 104, 191, 331, 529, 760, 171, 288, 474, 700, 913,1048, 272, 194, 335, 149, 265, 441, 663, 477, 160, 227, 384, 596, 823, 818,1002, 871, 242, 407, 623, 847,  90, 165, 290, 478, 435, 101, 185, 257, 430, 652)(  11,  21,  39,  72, 132, 237, 399,  94, 172, 300,  49,  91, 167, 122, 222, 375,  62, 114, 207, 356, 563, 791, 858,1019,1077, 965, 683, 155, 274, 454, 574, 802, 420, 637, 633, 855,1016, 256, 428, 649, 867, 124, 225, 380, 590, 376)(  13,  24,  45,  83, 152, 270, 449, 671, 884, 960, 521, 217, 368, 383, 569, 797, 982, 843, 250, 419, 285, 470, 694, 712, 534, 764, 710, 921, 646, 439, 661,  97, 178, 311, 504, 730, 444, 586, 812, 181, 315, 511, 738, 943, 908,1046)(  16,  30,  56, 103, 189, 327, 385, 598, 827, 462,  42,  78, 143, 255, 426, 645, 865, 838,1010,1076, 803, 988,1032,1079, 945,1057, 893,1029, 805, 990, 957, 841, 489, 716, 924, 706, 917, 903,1041, 890, 994,1024,1020, 849, 378, 588)(  18,  34,  63, 115, 209,  51,  95, 174, 303, 495, 427, 647, 866,1025, 379, 589, 816, 998,1073,1070, 259, 432, 570, 765, 864, 887, 550, 497, 723, 403, 603, 831, 459, 681, 895, 387,  53,  98, 180, 314, 509, 321, 431, 654, 872,1027)(  20,  37,  69, 126,  31,  58, 106, 173, 302, 494, 721, 898,1038, 839, 914, 937, 755, 952, 906,1044,  68, 125, 226, 382, 594,  99, 182, 317, 365, 572, 799, 787, 940, 920, 687, 515, 744, 948,1058, 905,1043,1053,1026,1071, 885, 192)(  25,  47,  87, 159, 281, 463, 684, 875, 116, 211, 360, 567, 763, 770, 658, 234, 348, 524, 402, 616, 778, 856,1017, 492, 330, 496, 397, 186, 323, 519, 751, 942, 886, 276, 458, 576, 508, 735, 939, 332,  88, 161, 284, 468, 230, 389)(  27,  50,  93, 170, 297, 488, 715, 923, 558, 786, 973,1050, 597, 825, 691,  46,  85, 156, 275, 456, 677, 201, 345, 545, 499, 725, 212, 157, 277, 127, 229, 340, 540, 650, 450, 582, 808, 641, 446, 668, 845, 442, 612, 617, 842,1011)(  29,  54, 100, 183, 319, 415, 601, 789, 798, 984, 912,1047, 916, 932,1051, 693, 882, 974, 147, 261, 436, 188, 325, 522, 753, 208, 357, 564, 793, 639, 418, 555, 697, 896, 118, 215, 322, 517, 748, 822, 967, 983, 593, 820, 883, 731)(  33,  61, 112, 203, 349, 551, 781, 930,1035,1063,1080,  64, 117, 213, 362, 520, 752, 826, 868, 978, 197, 339, 538, 769, 758, 954,1037, 695, 909, 776, 963,1065, 742, 929,1009, 951,1060, 591, 817,1000, 338, 536, 767, 938,1055,1052)(  36,  67, 123, 223, 377, 491, 528, 653, 294, 483, 709, 919, 512,  73, 134, 241, 405, 619,  79, 145, 258,  38,  71, 130, 137, 245, 412, 518, 750, 950,1059,1072,1081, 993, 830, 481, 705, 910, 308, 204, 351, 219, 371, 581, 609, 836)(  40,  74, 136, 244, 393, 605, 834, 120, 218, 369, 577, 804, 956, 667, 701, 648, 482, 707, 424, 643, 761, 631, 854, 291, 457, 679, 580, 628, 851,1014, 981, 516, 746, 807, 248, 416, 632, 469, 692, 907,1045, 554, 175, 305, 346, 547)(  44,  82, 150, 266, 443, 179, 313, 507, 537, 768, 959,1064,1078,1039,1049, 904,1042, 926, 336, 535, 766, 514, 743, 578, 734, 792, 685, 900,1040, 878, 630, 840, 644, 622, 846,1012, 881,1031, 775, 304, 455, 675, 889,1034,1033, 759)(  55, 102, 187, 246, 413, 629, 853, 151, 268, 447, 669, 713, 922, 699, 531, 762, 955,1062,1013, 373, 584, 810, 264, 440, 662, 879, 992, 611, 837, 999, 774, 962,1015, 283, 467, 214, 364, 571, 740, 400, 613, 111, 202, 347, 548, 324)(  57,  92, 169, 295, 484, 711, 635, 859,1021, 795, 934, 800, 985, 977, 941,1056,1007, 665, 736, 869, 796, 888,1001, 844, 958, 306, 498, 724, 931, 344, 544, 240, 404, 618, 129, 233, 113, 205, 353, 557, 785, 972,1067, 971,1066, 153)(  60, 110, 200, 343, 543, 676, 341, 485, 546, 777, 964, 552, 361, 107, 195, 337, 433, 334, 533, 411, 510, 737, 688, 388, 600, 829, 815, 970, 989, 280, 461, 682, 897, 391, 568, 184, 320, 310, 503, 224, 312, 506, 733, 672, 720, 928)(  70, 128, 231, 390, 602, 109, 198, 168, 293,  77, 141, 135, 243, 409, 626, 358, 565, 794, 980, 666, 144, 228, 386, 599, 549, 779, 966, 719, 927, 466, 689, 620, 278, 298, 490, 717, 925, 238, 401, 614, 657, 828,1006,1075, 624, 848)(  75, 138, 247, 414, 500, 664, 870, 947, 560, 269, 448, 670, 780, 166, 292, 480,  86, 158, 279, 460, 196, 206, 355, 561, 788, 975,1069,1054, 863,1008, 997, 636, 860,1022, 260, 434, 656, 806, 991,1068, 969, 821,1004,1036, 267, 445)(  81, 148, 263, 438, 660, 464, 686, 902, 892, 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[5, Factorial(1081)/2,1,"2",[[1080,1]],1079, "Alt(1081)", ["A",1081, 1], "Alt"],
[6, Factorial(1081),0,"2",[[1080, 1]],1081, "Sym(1081)", ["A",1081, 1], "Sym"]];
PRIMGRP[1082]:= 
[[1, Factorial(1082)/2,1,"2",[[1081,1]],1080, "Alt(1082)", ["A",1082, 1], "Alt"],
[2, Factorial(1082),0,"2",[[1081, 1]],1082, "Sym(1082)", ["A",1082, 1], "Sym"]];
PRIMGRP[1083]:= 
[[1, Factorial(1083)/2,1,"2",[[1082,1]],1081, "Alt(1083)", ["A",1083, 1], "Alt"],
[2, Factorial(1083),0,"2",[[1082, 1]],1083, "Sym(1083)", ["A",1083, 1], "Sym"]];
PRIMGRP[1084]:= 
[[1, Factorial(1084)/2,1,"2",[[1083,1]],1082, "Alt(1084)", ["A",1084, 1], "Alt"],
[2, Factorial(1084),0,"2",[[1083, 1]],1084, "Sym(1084)", ["A",1084, 1], "Sym"]];
PRIMGRP[1085]:= 
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[9, Factorial(1089)/2,1,"2",[[1088,1]],1087, "Alt(1089)", ["A",1089, 1], "Alt"],
[10, Factorial(1089),0,"2",[[1088, 1]],1089, "Sym(1089)", ["A",1089, 1], "Sym"]];
PRIMGRP[1090]:= 
[[1, Factorial(1090)/2,1,"2",[[1089,1]],1088, "Alt(1090)", ["A",1090, 1], "Alt"],
[2, Factorial(1090),0,"2",[[1089, 1]],1090, "Sym(1090)", ["A",1090, 1], "Sym"]];
PRIMGRP[1091]:= 
[[ 1, 1091, 3, "1", [ [ 1, 1090 ] ], 1, "C(1091)", [ "Z", 1091, 1 ], [  ] ],
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[ 8, 1189190, 2, "1", [ [ 1090, 1 ] ], 2, "AGL(1, 1091)", [ "Z", 1091, 1 ], [ [ [ Z(1091) ] ] ] ],
[9, Factorial(1091)/2,1,"2",[[1090,1]],1089, "Alt(1091)", ["A",1091, 1], "Alt"],
[10, Factorial(1091),0,"2",[[1090, 1]],1091, "Sym(1091)", ["A",1091, 1], "Sym"]];
PRIMGRP[1092]:= 
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[5, Factorial(1100)/2,1,"2",[[1099,1]],1098, "Alt(1100)", ["A",1100, 1], "Alt"],
[6, Factorial(1100),0,"2",[[1099, 1]],1100, "Sym(1100)", ["A",1100, 1], "Sym"]];