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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  id32340.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[32340]:=
rec(
  fp:= [ 2133, 5650, 7964, 8088, 10971, 11216, 15916, 16802, 18190, 18950, 
19599, 19960, 25610, 27172, 27360, 29438, 35269, 36057, 38699, 39132, 39766, 
40415, 42100, 44963, 45722, 48176, 48393, 49876, 51557, 51577, 51794, 52295, 
54560, 56278, 57233, 60505, 60793, 61251, 65116, 66353, 67811, 71289, 71776, 
72393, 73111, 78983, 85106, 87169, 89891, 90061, 92592, 94800, 95617 ],
  next:= [ rec(
    fp:= [ 3202, 8085, 9549, 22271, 34489, 51334, 62310, 69932, 78016, 
82871 ],
    level:= 4,
    next:= [ 27, 85, 6, 26, 8, 222, 7, 1, 79, 86 ] ), rec(
    fp:= [ 12583, 20289 ],
    level:= 4,
    next:= [ 399, 280 ] ), rec(
    fp:= [ 16672, 32828 ],
    level:= 4,
    next:= [ 84, 221 ] ), rec(
    fp:= [ 1516, 12801, 38437, 41720, 49175, 51828, 57474, 74323, 79693, 
79961, 81747, 85781 ],
    level:= 4,
    next:= [ 305, 407, 56, 217, 303, 59, 218, 301, 57, 55, 304, 58 ] ), rec(
    fp:= [ 10185, 58852, 96469 ],
    level:= 4,
    next:= [ 81, 3, 2 ] ), rec(
    fp:= [ 64607, 83990, 94926 ],
    level:= 4,
    next:= [ 318, 326, 324 ] ), rec(
    fp:= [ 10090, 29929, 42019 ],
    level:= 4,
    next:= [ 110, 274, 112 ] ), 80, rec(
    fp:= [ 2737, 58910 ],
    level:= 4,
    next:= [ 302, 406 ] ), rec(
    fp:= [ 8498, 97194 ],
    level:= 4,
    next:= [ 410, 346 ] ), rec(
    fp:= [ 4989, 5017, 7092, 15071, 23230, 23450, 23714, 36617, 40935, 42487, 
44216, 49380, 55814, 66786 ],
    level:= 4,
    next:= [ 329, 331, 355, 332, 359, 351, 361, 360, 357, 353, 352, 356, 413, 
333 ] ), 387, rec(
    fp:= [ 31887, 46357, 50304, 55906, 71105 ],
    level:= 4,
    next:= [ 242, 282, 148, 400, 244 ] ), rec(
    fp:= [ 5416, 10210, 30590, 34871, 35545, 38407, 45789, 68168, 71069, 
72721, 76638, 81000, 99008 ],
    level:= 4,
    next:= [ 9, 223, 395, 30, 211, 47, 225, 76, 29, 28, 87, 265, 212 ] ), rec(
    fp:= [ 270, 1663, 4925, 10971, 21649, 21836, 22354, 23072, 30147, 33062, 
40470, 40969, 43798, 47134, 50466, 53322, 56647, 60451, 63965, 64175, 70753, 
79177, 79747, 84077, 86701, 90792, 92564, 94627 ],
    level:= 4,
    next:= [ 381, 339, 380, 337, 340, 371, 375, 336, 415, 335, 341, 384, 377, 
379, 373, 369, 343, 372, 365, 376, 368, 363, 367, 344, 383, 345, 364, 
385 ] ), rec(
    fp:= [ 25997, 72068 ],
    level:= 4,
    next:= [ 263, 82 ] ), rec(
    fp:= [ 12055, 15806, 26115, 44287, 49941, 71037, 75645, 76453, 79511, 
91710 ],
    level:= 4,
    next:= [ 270, 114, rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 120, 128 ] ), 276, 116, 108, 137, rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 118, 126 ] ), 278, rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 122, 124 ] ) ] ), rec(
    desc:= [ 105002 ],
    fp:= [ 26, 1214 ],
    next:= [ 388, 389 ] ), rec(
    fp:= [ 6767, 22668, 61981 ],
    level:= 4,
    next:= [ 275, 113, 111 ] ), rec(
    fp:= [ 12305, 20597, 32714, 48870, 52455, 52909, 67654, 74806, 84342 ],
    level:= 4,
    next:= [ 266, rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 231, 238 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 3, 13 ],
      next:= [ 100, 96 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 233, 235 ] ), 396, rec(
      desc:= [ 106002 ],
      fp:= [ 26, 1214 ],
      next:= [ 391, 392 ] ), 226, 89, 228 ] ), 320, 323, rec(
    fp:= [ 6358, 8931, 27160, 33908, 34179, 48552, 55369, 61975, 74975, 
99033 ],
    level:= 4,
    next:= [ 279, rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 123, 125 ] ), 115, 138, 277, rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 121, 129 ] ), 109, 271, 117, rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 119, 127 ] ) ] ), rec(
    fp:= [ 4043, 8899, 10616, 23497, 27138, 31190, 42362, 43401, 45484, 
49065, 50519, 50733, 65932, 68675, 70979, 72601, 90389, 96673 ],
    level:= 4,
    next:= [ 294, rec(
      desc:= [ 110002 ],
      fp:= [ 3, 13 ],
      next:= [ 197, 185 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 18, 612 ],
      next:= [ 176, 206 ] ), 153, 161, rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 250, 258 ] ), 170, 286, rec(
      desc:= [ 109002 ],
      fp:= [ 3, 13 ],
      next:= [ 201, 189 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 181, 193 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 252, 260 ] ), 402, 246, 290, rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 254, 256 ] ), 165, 248, 157 ] ), rec(
    fp:= [ 1417, 21367, 24527, 54355 ],
    level:= 4,
    next:= [ 131, 139, 143, 240 ] ), rec(
    fp:= [ 6674, 70671, 95945 ],
    level:= 4,
    next:= [ 319, 327, 325 ] ), rec(
    fp:= [ 10657, 26614, 35712, 37803, 53320, 60482, 71260, 75681, 77473, 
78169, 79409, 81649 ],
    level:= 4,
    next:= [ 284, 283, 147, 285, 146, 401, 281, 245, 149, 150, 151, 243 ] ), 
386, 272, rec(
    fp:= [ 7576, 22348, 26491, 66899, 92641 ],
    level:= 4,
    next:= [ 330, 354, 412, 358, 350 ] ), rec(
    fp:= [ 62, 516, 2186, 3010, 7389, 7965, 8476, 8814, 12330, 17158, 18888, 
25852, 26763, 30242, 32026, 32589, 33442, 34236, 36979, 37984, 39418, 40350, 
41468, 43001, 53566, 54106, 54846, 56405, 57737, 58058, 60146, 64700, 65649, 
67164, 67909, 67981, 69124, 71742, 76099, 76384, 79001, 81756, 90445, 90803, 
96792, 98753 ],
    level:= 4,
    next:= [ 296, 166, rec(
      desc:= [ 110002 ],
      fp:= [ 18, 612 ],
      next:= [ 178, 208 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 251, 259 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 3, 13 ],
      next:= [ 202, 190 ] ), 171, rec(
      desc:= [ 110002 ],
      fp:= [ 26, 1214 ],
      next:= [ 174, 204 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 253, 261 ] ), 247, 297, 287, 152, 295, 159, 162, 167, 288, rec(
      desc:= [ 111002 ],
      fp:= [ 17, 611 ],
      next:= [ 183, 195 ] ), 155, 292, 154, rec(
      desc:= [ 111002 ],
      fp:= [ 17, 611 ],
      next:= [ 184, 196 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 3, 13 ],
      next:= [ 199, 188 ] ), 158, rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 255, 257 ] ), 249, 163, 291, 289, rec(
      desc:= [ 109002 ],
      fp:= [ 18, 612 ],
      next:= [ 177, 207 ] ), 169, rec(
      desc:= [ 111002 ],
      fp:= [ 17, 611 ],
      next:= [ 180, 192 ] ), 293, 173, 164, rec(
      desc:= [ 110002 ],
      fp:= [ 18, 612 ],
      next:= [ 179, 209 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 3, 13 ],
      next:= [ 200, 187 ] ), 160, rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 182, 194 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 3, 13 ],
      next:= [ 203, 191 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 3, 13 ],
      next:= [ 198, 186 ] ), 168, 156, rec(
      desc:= [ 110002 ],
      fp:= [ 18, 612 ],
      next:= [ 175, 205 ] ), 403, 172 ] ), rec(
    fp:= [ 14033, 18077, 36750, 68071, 73718 ],
    level:= 4,
    next:= [ 328, 348, 349, 347, 411 ] ), rec(
    fp:= [ 33329, 41885, 92552 ],
    level:= 4,
    next:= [ 135, 104, 106 ] ), rec(
    fp:= [ 3453, 9270, 14020, 15827, 19671, 31771, 32889, 65211, 75245, 
95394 ],
    level:= 4,
    next:= [ 142, 241, 144, 134, 145, 132, 140, 133, 141, 130 ] ), rec(
    fp:= [ 10869, 51586, 52791 ],
    level:= 4,
    next:= [ 262, 393, 210 ] ), 73, rec(
    fp:= [ 7191, 9575, 91653 ],
    level:= 4,
    next:= [ 224, 390, 394 ] ), 398, rec(
    fp:= [ 36233, 69438, 73250 ],
    level:= 4,
    next:= [ 105, 107, 136 ] ), rec(
    fp:= [ 8846, 44694, 65027, 73790 ],
    level:= 4,
    next:= [ 408, 310, 314, 306 ] ), 404, rec(
    desc:= [ 105002 ],
    fp:= [ 26, 1214 ],
    next:= [ 74, 75 ] ), rec(
    fp:= [ 3166, 6068, 7028, 10099, 10976, 18613, 20086, 20800, 35103, 35625, 
38693, 42536, 45758, 50908, 52905, 55864, 62333, 62765, 69013, 77479, 82888, 
83544, 88300, 92734 ],
    level:= 4,
    next:= [ 68, 308, 219, 317, 71, 60, 309, 67, 69, 62, 311, 65, 66, 63, 
315, 220, 409, 70, 316, 307, 312, 61, 313, 64 ] ), 322, 321, 72, rec(
    fp:= [ 12687, 15582, 21941, 81876, 82929, 96756 ],
    level:= 4,
    next:= [ 5, 4, 46, 83, 264, 45 ] ), 298, rec(
    fp:= [ 5725, 46676, 49517, 53755, 57704 ],
    level:= 4,
    next:= [ 405, 215, 54, 300, 216 ] ), rec(
    fp:= [ 25453, 27732, 32284, 47106, 52781, 64411, 69805, 79548, 87673, 
92763 ],
    level:= 4,
    next:= [ 378, 374, 370, 366, 414, 338, 362, 334, 382, 342 ] ), rec(
    fp:= [ 33065, 39443, 73532 ],
    level:= 4,
    next:= [ 52, 53, 299 ] ), rec(
    fp:= [ 6788, 7000, 12555, 14484, 15405, 17207, 18354, 21451, 22251, 
30538, 30916, 36394, 37942, 40587, 44003, 47831, 48408, 50008, 52920, 53878, 
54108, 55713, 57666, 60753, 61572, 61901, 62203, 64585, 68426, 69084, 70901, 
72287, 75078, 78416, 78784, 82022, 82940, 87635, 88892, 88972, 93728, 96677, 
96958, 97840, 98139 ],
    level:= 4,
    next:= [ 269, rec(
      desc:= [ 109002 ],
      fp:= [ 3, 13 ],
      next:= [ 23, 19 ] ), 93, 213, 49, rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 232, 239 ] ), 214, rec(
      desc:= [ 109002 ],
      fp:= [ 18, 612 ],
      next:= [ 16, 25 ] ), 91, rec(
      desc:= [ 110002 ],
      fp:= [ 3, 13 ],
      next:= [ 22, 18 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 39, 41 ] ), 268, 10, 15, rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 234, 236 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 230, 237 ] ), 229, 31, 50, 32, 14, rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 36, 43 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 3, 13 ],
      next:= [ 102, 98 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 37, 44 ] ), 33, 13, rec(
      desc:= [ 108002 ],
      fp:= [ 3, 13 ],
      next:= [ 24, 20 ] ), 92, 11, 48, 88, rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 38, 40 ] ), 51, rec(
      desc:= [ 110002 ],
      fp:= [ 3, 13 ],
      next:= [ 101, 97 ] ), 90, rec(
      desc:= [ 109002 ],
      fp:= [ 18, 612 ],
      next:= [ 94, 103 ] ), 397, 34, rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 35, 42 ] ), 12, rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 95, 99 ] ), 267, rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 17, 21 ] ), rec(
      desc:= [ 106002 ],
      fp:= [ 26, 1214 ],
      next:= [ 77, 78 ] ), 227 ] ), 273 ] );