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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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#############################################################################
##
#W  id22932.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[22932]:=
rec(
  fp:= [ 1556, 4448, 6285, 17260, 17360, 19098, 25275, 25986, 27506, 30897, 
31372, 35090, 39232, 43902, 47075, 51341, 51351, 52312, 53030, 54827, 55313, 
56691, 57607, 59597, 63514, 64996, 67091, 67118, 69274, 72108, 75014, 83352, 
83707, 85031, 85779, 89412, 89879, 90837, 92026, 93068, 94649, 96313, 96886, 
97613, 99465 ],
  next:= [ rec(
    fp:= [ 687, 10726, 17740, 20664, 24441, 25714, 28880, 38535, 39018, 
60197, 61750, 64227, 66470, 70196, 71154, 74077, 83288, 85202, 86850, 88591 ],
    level:= 4,
    next:= [ 778, 799, 785, 780, 777, 782, 807, 798, 845, 808, 781, 773, 802, 
776, 784, 809, 800, 774, 805, 803 ] ), rec(
    fp:= [ 4736, 5460, 9790, 13106, 14136, 14379, 17464, 18565, 19273, 19449, 
21072, 23047, 23739, 36690, 38763, 39163, 42186, 42991, 47322, 49496, 52561, 
54475, 58079, 58400, 60455, 60956, 61367, 66436, 76926, 77559, 83782, 85369, 
87162, 88451, 91755, 92154, 93262, 96108, 98169 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 123002 ],
      fp:= [ 6, 16 ],
      next:= [ 42, 41 ] ), 200, rec(
      desc:= [ 125004 ],
      fp:= [ 26, 1214 ],
      next:= [ 54, rec(
        desc:= [ 125009 ],
        fp:= [ 12, 22 ],
        next:= [ rec(
          fp:= [ 
709560315727205408674610801991395335116374765071774556143429757347629947083633\
5064951382039, 
709560316463194668657329361872190118330308523892859300063080071257266915447273\
3977460957207 ],
          func:= 11,
          next:= [ 52, 51 ],
          pos:= [ 19, 24 ] ), 53 ] ) ] ), 34, rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 250, 268 ] ), 189, rec(
      desc:= [ 118004 ],
      fp:= [ 26, 1214 ],
      next:= [ 68, rec(
        desc:= [ 118005 ],
        fp:= [ 12, 22 ],
        next:= [ 69, 67 ] ) ] ), 729, rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 107, 112 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 18, 612 ],
      next:= [ 105, 118 ] ), rec(
      fp:= [ 57376, 75137 ],
      next:= [ rec(
        desc:= [ 125002 ],
        fp:= [ 6, 16 ],
        next:= [ 48, 47 ] ), rec(
        desc:= [ 125004 ],
        fp:= [ 6, 16 ],
        next:= [ 50, 49 ] ) ] ), 33, rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 239, 278 ] ), 191, rec(
      desc:= [ 115003 ],
      fp:= [ 48, 58 ],
      next:= [ 196, 195 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 244, 281 ] ), 102, 75, rec(
      desc:= [ 128002 ],
      fp:= [ 48, 4216 ],
      next:= [ 229, 230 ] ), 728, 215, 736, rec(
      desc:= [ 115004 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 240, 241, 279 ] ), rec(
      desc:= [ 119004 ],
      fp:= [ 6, 16 ],
      next:= [ 66, 65 ] ), 39, rec(
      desc:= [ 121004 ],
      fp:= [ 48, 4216 ],
      next:= [ 211, 212 ] ), 283, rec(
      desc:= [ 117003 ],
      fp:= [ 48, 58 ],
      next:= [ 199, 198 ] ), 46, rec(
      desc:= [ 122004 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 246, 247, rec(
        desc:= [ 122008 ],
        fp:= [ 42, 3616 ],
        next:= [ 265, 264 ] ) ] ), 197, rec(
      desc:= [ 122002 ],
      fp:= [ 26, 1214 ],
      next:= [ 45, rec(
        desc:= [ 122009 ],
        fp:= [ 12, 22 ],
        next:= [ 43, 44 ] ) ] ), rec(
      desc:= [ 118002 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 238, 237, 277 ] ), 190, 233, 35, 63, rec(
      desc:= [ 109002 ],
      fp:= [ 26, 1214 ],
      next:= [ 104, 117 ] ), rec(
      desc:= [ 112009 ],
      fp:= [ 48, 58 ],
      next:= [ 194, 193 ] ) ] ), rec(
    fp:= [ 44190, 48746, 60501, 72234, 73674 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 119009 ],
      fp:= [ 192, 16834 ],
      next:= [ 550, 551 ] ), rec(
      desc:= [ 123009 ],
      fp:= [ 192, 16834 ],
      next:= [ 552, 553 ] ), 547, rec(
      desc:= [ 117009 ],
      fp:= [ 192, 16834 ],
      next:= [ 813, 814 ] ), 549 ] ), rec(
    fp:= [ 10220, 18979, 19729, 21737, 23373, 26359, 30411, 37408, 39725, 
49892, 50520, 51990, 54547, 54922, 57249, 60235, 61585, 63764, 65880, 69598, 
75455, 76005, 78992, 82710, 83164, 83822, 85866, 93331, 98361 ],
    level:= 4,
    next:= [ 416, 837, 337, 320, rec(
      desc:= [ 129009 ],
      fp:= [ 96, 8422 ],
      next:= [ 662, 663 ] ), rec(
      desc:= [ 131003 ],
      fp:= [ 84, 7222 ],
      next:= [ 664, 665 ] ), rec(
      desc:= [ 130004 ],
      fp:= [ 96, 8422 ],
      next:= [ 657, 656 ] ), 415, 746, 744, rec(
      desc:= [ 128003 ],
      fp:= [ 42, 3616 ],
      next:= [ 333, 332 ] ), rec(
      desc:= [ 131003 ],
      fp:= [ 42, 3616 ],
      next:= [ 329, 328 ] ), 666, 748, 679, 680, 660, rec(
      desc:= [ 131004 ],
      fp:= [ 96, 8422 ],
      next:= [ 318, 317 ] ), 414, 412, rec(
      desc:= [ 130009 ],
      fp:= [ 192, 16834 ],
      next:= [ 658, 659 ] ), rec(
      desc:= [ 133003 ],
      fp:= [ 84, 7222 ],
      next:= [ 335, 334 ] ), rec(
      desc:= [ 127009 ],
      fp:= [ 96, 8422 ],
      next:= [ 330, 331 ] ), rec(
      desc:= [ 131003 ],
      fp:= [ 42, 3616 ],
      next:= [ 323, 324 ] ), 336, 747, 413, 326, 338 ] ), rec(
    fp:= [ 1685, 4520, 26641, 27830, 47270, 51584, 54309, 61234, 72716, 
82461 ],
    level:= 4,
    next:= [ 293, 290, 291, 288, 296, 287, 286, 297, 652, 295 ] ), rec(
    fp:= [ 38183, 78003 ],
    level:= 4,
    next:= [ 741, 313 ] ), rec(
    fp:= [ 26199, 75476, 95375, 96113 ],
    level:= 4,
    next:= [ 765, 769, 793, 842 ] ), rec(
    fp:= [ 21419, 21969, 36416, 71984, 86062 ],
    level:= 4,
    next:= [ 655, 327, 836, 661, 745 ] ), rec(
    fp:= [ 24549, 44079 ],
    level:= 4,
    next:= [ 762, 840 ] ), rec(
    fp:= [ 6247, 23203, 70010 ],
    level:= 4,
    next:= [ 720, 719, 789 ] ), rec(
    fp:= [ 4985, 5259, 9857, 30750, 32402, 43704, 63178, 79208, 94182, 95695, 
98094 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 113009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 578, 579, 585 ] ), rec(
      desc:= [ 118016 ],
      fp:= [ 74, 4826 ],
      next:= [ 560, rec(
        desc:= [ 120107 ],
        fp:= [ 192, 16834 ],
        next:= [ 562, rec(
          desc:= [ 118009 ],
          fp:= [ 48, 58 ],
          next:= [ 561, 559 ] ) ] ) ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 567, 568, 574 ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 74, 4826 ],
      next:= [ 570, rec(
        desc:= [ 110009 ],
        fp:= [ 26, 1214 ],
        next:= [ 564, 571 ] ) ] ), rec(
      desc:= [ 118009 ],
      fp:= [ 24, 34 ],
      next:= [ 555, 556 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 577, 584 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 575, 582 ] ), rec(
      desc:= [ 118009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 565, 566, rec(
        desc:= [ 116009 ],
        fp:= [ 24, 34 ],
        next:= [ 573, 572 ] ) ] ), rec(
      desc:= [ 114009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 816, 817, 819 ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 580, 581, 586 ] ), rec(
      desc:= [ 117009 ],
      fp:= [ 24, 34 ],
      next:= [ 557, 558 ] ) ] ), rec(
    fp:= [ 6460, 7385, 16786, 29474, 29608, 30846, 33868, 40336, 45190, 
53994, 55925, 57016, 57455, 62020, 65042, 67744, 88629, 91331 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 128003 ],
      fp:= [ 84, 7222 ],
      next:= [ 606, 605 ] ), 587, 38, 831, 130, rec(
      desc:= [ 127004 ],
      fp:= [ 96, 8422 ],
      next:= [ 600, 599 ] ), rec(
      desc:= [ 123009 ],
      fp:= [ 96, 8422 ],
      next:= [ 604, 603 ] ), 621, 732, 128, rec(
      desc:= [ 121009 ],
      fp:= [ 192, 16834 ],
      next:= [ 822, 823 ] ), 129, rec(
      desc:= [ 128003 ],
      fp:= [ 42, 3616 ],
      next:= [ 208, 207 ] ), 601, 607, 620, 210, 236 ] ), rec(
    fp:= [ 11760, 14698, 36810, 81674 ],
    level:= 4,
    next:= [ 294, 285, 289, 651 ] ), rec(
    fp:= [ 7685, 13087 ],
    level:= 4,
    next:= [ 186, 10 ] ), rec(
    fp:= [ 33161, 68367 ],
    level:= 4,
    next:= [ 548, 812 ] ), rec(
    fp:= [ 9919, 12620, 15946, 20098, 22040, 37585, 37692, 42762, 53621, 
55184, 78951, 86304, 88173, 91514 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 115009 ],
      fp:= [ 26, 1214 ],
      next:= [ 12, 11 ] ), 30, 18, 23, 28, 188, 187, 32, rec(
      desc:= [ 122002 ],
      fp:= [ 16, 1016 ],
      next:= [ 19, 20 ] ), rec(
      desc:= [ 119003 ],
      fp:= [ 26, 1214 ],
      next:= [ 17, 16 ] ), 15, rec(
      desc:= [ 118003 ],
      fp:= [ 26, 1214 ],
      next:= [ 13, 14 ] ), 31, 184 ] ), rec(
    fp:= [ 10348, 48618, 73697 ],
    level:= 4,
    next:= [ 829, 598, 820 ] ), rec(
    fp:= [ 9374, 16987, 25039, 49194, 61420, 69472 ],
    level:= 4,
    next:= [ 743, rec(
      desc:= [ 128002 ],
      fp:= [ 48, 4216 ],
      next:= [ 316, 315 ] ), rec(
      desc:= [ 127004 ],
      fp:= [ 48, 4216 ],
      next:= [ 322, 321 ] ), 411, 319, 325 ] ), rec(
    fp:= [ 4612, 6074, 7347, 19427, 33137, 34961, 54077, 54619, 56081, 57001, 
71440, 81878, 85526 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 631, 637 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 3, 13 ],
      next:= [ 270, 255 ] ), 608, 733, 139, 77, rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 824, 827 ] ), 614, 217, rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 625, 645 ] ), 832, 588, 157 ] ), rec(
    fp:= [ 11125, 24503, 24511, 27441, 28353, 29829, 39326, 73607, 74157, 
74518, 75980, 77095, 79483, 82208, 90448, 92446, 93922 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 111002 ],
      fp:= [ 3, 13 ],
      next:= [ 517, 478 ] ), 399, rec(
      desc:= [ 112002 ],
      fp:= [ 17, 611 ],
      next:= [ 693, 699 ] ), rec(
      fp:= [ 4147, 65514 ],
      next:= [ 357, 369 ] ), 345, 667, 753, rec(
      desc:= [ 111002 ],
      fp:= [ 26, 1214 ],
      next:= [ 681, 705 ] ), rec(
      desc:= [ 113002 ],
      fp:= [ 17, 611 ],
      next:= [ 447, 493 ] ), 673, 381, rec(
      desc:= [ 113002 ],
      fp:= [ 3, 13 ],
      next:= [ 505, 466 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 18, 612 ],
      next:= [ 687, 709 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 18, 612 ],
      next:= [ 429, 532 ] ), 749, 758, 838 ] ), rec(
    fp:= [ 4051, 16241, 84897 ],
    level:= 4,
    next:= [ 786, 715, 724 ] ), rec(
    fp:= [ 1889, 16517, 52085 ],
    level:= 4,
    next:= [ 821, 830, 602 ] ), 834,, rec(
    fp:= [ 22983, 58881, 89052 ],
    level:= 4,
    next:= [ 791, 723, 722 ] ), rec(
    fp:= [ 8608, 11937, 68395, 68856 ],
    level:= 4,
    next:= [ 841, 790, 764, 763 ] ), rec(
    fp:= [ 1230, 6366, 10833, 15969, 30521, 50799, 60402, 90362 ],
    level:= 4,
    next:= [ 37, rec(
      desc:= [ 123004 ],
      fp:= [ 48, 4216 ],
      next:= [ 205, 206 ] ), 36, rec(
      desc:= [ 127002 ],
      fp:= [ 48, 4216 ],
      next:= [ 203, 202 ] ), 235, 209, 204, 731 ] ), rec(
    fp:= [ 23758, 23891, 40926, 41523, 46311, 71713, 93187 ],
    level:= 4,
    next:= [ 788, 787, 804, 725, 716, 726, 717 ] ), rec(
    fp:= [ 13873, 43274, 62593, 86391 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 576, 583 ] ), 554, rec(
      desc:= [ 106002 ],
      fp:= [ 26, 1214 ],
      next:= [ 815, 818 ] ), rec(
      desc:= [ 110009 ],
      fp:= [ 26, 1214 ],
      next:= [ 563, 569 ] ) ] ),, rec(
    fp:= [ 39685, 61469, 61756 ],
    level:= 4,
    next:= [ 299, 300, 292 ] ), rec(
    fp:= [ 37165, 76985 ],
    level:= 4,
    next:= [ 730, 201 ] ), rec(
    fp:= [ 9913, 48183, 49295, 69726, 93227 ],
    level:= 4,
    next:= [ 835, 653, 314, 742, 654 ] ), rec(
    fp:= [ 23285, 44893 ],
    level:= 4,
    next:= [ 192, 727 ] ), rec(
    fp:= [ 6211, 40624 ],
    level:= 4,
    next:= [ 546, 811 ] ), rec(
    fp:= [ 4528, 9667, 23594, 30585, 37749, 59487, 61707, 84290 ],
    level:= 4,
    next:= [ 797, 801, 806, 775, 779, 783, 844, 772 ] ), rec(
    fp:= [ 7685, 29293 ],
    level:= 4,
    next:= [ 304, 738 ] ), 721, rec(
    fp:= [ 21977, 23439, 53036, 79085 ],
    level:= 4,
    next:= [ 596, 181, 120, 1 ] ), 718, rec(
    fp:= [ 3406, 18089, 20915, 34729, 37585, 37692, 49900, 50690, 52079, 
60309, 67950, 69062, 70888, 71288, 74250, 84686, 86600, 88500, 90204, 92120, 
93081, 93492 ],
    level:= 4,
    next:= [ 739, rec(
      desc:= [ 120004 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 442, 441, rec(
        desc:= [ 120008 ],
        fp:= [ 42, 3616 ],
        next:= [ 487, 488 ] ) ] ), 302, rec(
      desc:= [ 126002 ],
      fp:= [ 48, 4216 ],
      next:= [ 394, 393 ] ), 312, 309, rec(
      desc:= [ 118002 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 418, 417, 524 ] ), 740, rec(
      desc:= [ 114009 ],
      fp:= [ 48, 58 ],
      next:= [ 306, 305 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 17, 611 ],
      next:= [ 445, 491 ] ), 301, 397, rec(
      desc:= [ 117003 ],
      fp:= [ 48, 58 ],
      next:= [ 308, 307 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 18, 612 ],
      next:= [ 427, 530 ] ), 303, 343, 756, rec(
      desc:= [ 118003 ],
      fp:= [ 48, 58 ],
      next:= [ 311, 310 ] ), rec(
      desc:= [ 117004 ],
      fp:= [ 48, 58, 4216 ],
      next:= [ 424, 423, 528 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 26, 1214 ],
      next:= [ 421, 526 ] ), rec(
      desc:= [ 123004 ],
      fp:= [ 48, 4216 ],
      next:= [ 340, 339 ] ), 540 ] ), 810, 298, rec(
    fp:= [ 17509, 23330, 25431, 28663, 33932, 39676, 49022, 62832, 68775, 
87155 ],
    level:= 4,
    next:= [ 771, 794, 795, 767, 768, 796, 770, 766, 792, 843 ] ), rec(
    fp:= [ 4540, 6289, 10611, 10848, 11022, 16875, 26549, 32427, 40055, 
46132, 46669, 49152, 52954, 56093, 57154, 76677, 83526, 85524, 93958, 98421 ],
    level:= 4,
    next:= [ 597, 8, rec(
      desc:= [ 125004 ],
      fp:= [ 12, 22 ],
      next:= [ 21, 22 ] ), 182, 127, 9, 24, rec(
      desc:= [ 124004 ],
      fp:= [ 32, 2022 ],
      next:= [ 122, 121 ] ), rec(
      desc:= [ 119009 ],
      fp:= [ 12, 22 ],
      next:= [ 2, 3 ] ), 125, rec(
      desc:= [ 120003 ],
      fp:= [ 24, 34 ],
      next:= [ 6, 7 ] ), 126, 25, rec(
      desc:= [ 119003 ],
      fp:= [ 26, 1214 ],
      next:= [ 5, 4 ] ), 27, 26, 183, 29, rec(
      desc:= [ 125009 ],
      fp:= [ 24, 34 ],
      next:= [ 124, 123 ] ), 185 ] ) ] );