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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  id23940.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[23940]:=
rec(
  fp:= [ 149, 240, 782, 5601, 6103, 6561, 7170, 10470, 21058, 21692, 22022, 
23492, 23598, 24342, 24358, 27510, 28779, 28940, 29109, 29765, 40303, 42462, 
43603, 44721, 44788, 45382, 46942, 50009, 53309, 57617, 59706, 60522, 63006, 
63369, 63822, 66631, 68903, 70053, 75304, 78598, 80752, 82243, 85622, 85984, 
86604, 89449, 89904, 93165, 94478, 95616, 96601 ],
  next:= [ rec(
    fp:= [ 43954, 51521, 54940, 86367, 88507 ],
    level:= 4,
    next:= [ 249, rec(
      desc:= [ 127011 ],
      fp:= [ 36, 46 ],
      next:= [ 255, 254 ] ), rec(
      desc:= [ 123011 ],
      fp:= [ 36, 46 ],
      next:= [ 253, 252 ] ), rec(
      desc:= [ 123011 ],
      fp:= [ 36, 46 ],
      next:= [ 447, 446 ] ), 251 ] ), rec(
    fp:= [ 2749, 3085, 19149, 20892, 26679, 29916, 30815, 31283, 31318, 
44122, 50043, 50814, 51800, 54875, 55691, 62112, 65592, 66624, 67017, 70771, 
72890, 76781, 79613, 82909, 83557, 89198, 93987, 97000 ],
    level:= 4,
    next:= [ 474, 406, 434, 432, 390, 441, 426, 410, 400, 424, 394, 442, 
392, 438, 407, 399, 440, 409, 396, 422, 433, 437, 425, 391, 436, 398, 405, 
395 ] ), rec(
    fp:= [ 2335, 6870, 16789, 17538, 19552, 21093, 38455, 47156, 50928, 
52927, 60806, 66241, 71439, 82248, 84865, 84888, 91104, 93503 ],
    level:= 4,
    next:= [ 259, rec(
      desc:= [ 127011 ],
      fp:= [ 18, 28 ],
      next:= [ 263, 262 ] ), 269, 51, 332, 54, rec(
      desc:= [ 132011 ],
      fp:= [ 18, 28 ],
      next:= [ 268, 267 ] ), 271, 50, 3, 454, 76, 270, rec(
      desc:= [ 131011 ],
      fp:= [ 18, 28 ],
      next:= [ 265, 264 ] ), 266, rec(
      desc:= [ 131011 ],
      fp:= [ 9, 19 ],
      next:= [ 74, 73 ] ), 75, rec(
      desc:= [ 125011 ],
      fp:= [ 36, 46 ],
      next:= [ 451, 450 ] ) ] ), rec(
    fp:= [ 16368, 74872, 77438 ],
    level:= 4,
    next:= [ 79, 335, 85 ] ), 455, 459, rec(
    fp:= [ 15207, 22143, 84151 ],
    level:= 4,
    next:= [ 330, 419, 326 ] ), rec(
    fp:= [ 11371, 42375, 42800, 53704, 69260, 80800, 87164, 89463, 96311, 
99274 ],
    level:= 4,
    next:= [ 473, 435, 408, 389, 423, 397, 431, 393, 439, 404 ] ), 320, rec(
    fp:= [ 21484, 27787, 32807, 50298, 71195, 96349 ],
    level:= 4,
    next:= [ 20, rec(
      desc:= [ 125004 ],
      fp:= [ 12, 22 ],
      next:= [ 15, 16 ] ), rec(
      desc:= [ 124002 ],
      fp:= [ 6, 16 ],
      next:= [ 13, 14 ] ), 19, rec(
      desc:= [ 123004 ],
      fp:= [ 6, 16 ],
      next:= [ 9, 10 ] ), rec(
      desc:= [ 122003 ],
      fp:= [ 6, 16 ],
      next:= [ 8, 7 ] ) ] ), rec(
    fp:= [ 1849, 5688, 6412, 6576, 12417, 14003, 17666, 20619, 24446, 45667, 
52126, 52719, 73003, 74546, 76086, 92936, 92984 ],
    level:= 4,
    next:= [ 43, rec(
      desc:= [ 126003 ],
      fp:= [ 6, 16 ],
      next:= [ 60, 59 ] ), rec(
      desc:= [ 127002 ],
      fp:= [ 3, 13 ],
      next:= [ 25, 26 ] ), rec(
      desc:= [ 127003 ],
      fp:= [ 6, 16 ],
      next:= [ 28, 27 ] ), 40, 44, rec(
      desc:= [ 129004 ],
      fp:= [ 12, 22 ],
      next:= [ 67, 68 ] ), rec(
      desc:= [ 130002 ],
      fp:= [ 6, 16 ],
      next:= [ 37, 38 ] ), rec(
      desc:= [ 128002 ],
      fp:= [ 6, 16 ],
      next:= [ 65, 66 ] ), rec(
      desc:= [ 127004 ],
      fp:= [ 6, 16 ],
      next:= [ 61, 62 ] ), rec(
      desc:= [ 127002 ],
      fp:= [ 3, 13 ],
      next:= [ 22, 23 ] ), rec(
      desc:= [ 129004 ],
      fp:= [ 6, 16 ],
      next:= [ 31, 32 ] ), rec(
      desc:= [ 127002 ],
      fp:= [ 3, 13 ],
      next:= [ 29, 30 ] ), 72, 42, 71, 41 ] ), rec(
    fp:= [ 22060, 83722 ],
    level:= 4,
    next:= [ 45, 256 ] ), rec(
    fp:= [ 41202, 42755 ],
    level:= 4,
    next:= [ 359, 463 ] ), rec(
    fp:= [ 1696, 2078, 6011, 18909, 21048, 21345, 26765, 27333, 37966, 
38155, 41071, 42914, 47689, 49808, 51392, 52830, 54668, 56437, 69350, 73058, 
73630, 79262, 80789, 81674, 84006, 86873, 89602, 92142, 95367 ],
    level:= 4,
    next:= [ 137, 344, rec(
      desc:= [ 135011 ],
      fp:= [ 18, 28 ],
      next:= [ 298, 297 ] ), rec(
      desc:= [ 134011 ],
      fp:= [ 9, 19 ],
      next:= [ 119, 118 ] ), 140, 303, rec(
      desc:= [ 136011 ],
      fp:= [ 18, 28 ],
      next:= [ 129, 128 ] ), 462, 302, 347, 131, 130, 135, rec(
      desc:= [ 134011 ],
      fp:= [ 9, 19 ],
      next:= [ 123, 122 ] ), 295, 132, 346, rec(
      desc:= [ 134011 ],
      fp:= [ 18, 28 ],
      next:= [ 294, 293 ] ), 136, rec(
      desc:= [ 133011 ],
      fp:= [ 18, 28 ],
      next:= [ 292, 291 ] ), 120, 138, rec(
      desc:= [ 131011 ],
      fp:= [ 18, 28 ],
      next:= [ 125, 124 ] ), rec(
      desc:= [ 136011 ],
      fp:= [ 36, 46 ],
      next:= [ 300, 299 ] ), 301, rec(
      desc:= [ 131011 ],
      fp:= [ 9, 19 ],
      next:= [ 127, 126 ] ), 139, 348, rec(
      desc:= [ 138011 ],
      fp:= [ 18, 28 ],
      next:= [ 134, 133 ] ) ] ), rec(
    fp:= [ 52423, 64252 ],
    level:= 4,
    next:= [ 467, 375 ] ), 245, rec(
    fp:= [ 29139, 73637 ],
    level:= 4,
    next:= [ 5, 6 ] ), rec(
    fp:= [ 3780, 39777, 54145, 61136, 78204 ],
    level:= 4,
    next:= [ 296, 121, 461, 345, 290 ] ), rec(
    fp:= [ 18668, 73367, 77243 ],
    level:= 4,
    next:= [ 58, 21, 57 ] ), rec(
    fp:= [ 31, 869, 1462, 1792, 1872, 2722, 8502, 11158, 11376, 13978, 
15335, 16000, 16763, 17980, 19197, 21351, 22451, 24038, 24193, 26470, 27893, 
28128, 28851, 32987, 33359, 36675, 37001, 37485, 37789, 38092, 41160, 41778, 
44506, 44747, 45669, 45753, 47265, 48221, 53342, 53795, 54819, 57795, 57894, 
58749, 60088, 60675, 60917, 62438, 62560, 63401, 64459, 65287, 69041, 69399, 
70925, 71648, 72732, 72801, 73071, 75945, 76222, 78670, 79555, 81023, 83677, 
84081, 86497, 87209, 87873, 89463, 92857, 93087, 93173, 94073, 95730, 96905, 
97524, 98866 ],
    level:= 4,
    next:= [ 369, 374, 179, 242, 178, 239, rec(
      desc:= [ 129011 ],
      fp:= [ 18, 28 ],
      next:= [ 308, 307 ] ), 368, rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 310, 309 ] ), rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 169, 168 ] ), 317, rec(
      desc:= [ 129011 ],
      fp:= [ 9, 19 ],
      next:= [ 191, 190 ] ), rec(
      desc:= [ 135011 ],
      fp:= [ 36, 46 ],
      next:= [ 229, 228 ] ), 170, rec(
      desc:= [ 127011 ],
      fp:= [ 18, 28 ],
      next:= [ 215, 214 ] ), 370, rec(
      desc:= [ 129011 ],
      fp:= [ 9, 19 ],
      next:= [ 211, 210 ] ), 206, 172, 195, 194, rec(
      desc:= [ 132011 ],
      fp:= [ 18, 28 ],
      next:= [ 227, 226 ] ), 243, rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 187, 186 ] ), rec(
      desc:= [ 129011 ],
      fp:= [ 9, 19 ],
      next:= [ 189, 188 ] ), rec(
      desc:= [ 128011 ],
      fp:= [ 9, 19 ],
      next:= [ 203, 202 ] ), rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 314, 313 ] ), rec(
      desc:= [ 127011 ],
      fp:= [ 9, 19 ],
      next:= [ 213, 212 ] ), 208, 177, 356, rec(
      desc:= [ 132011 ],
      fp:= [ 18, 28 ],
      next:= [ 205, 204 ] ), 364, 176, rec(
      desc:= [ 131011 ],
      fp:= [ 18, 28 ],
      next:= [ 217, 216 ] ), 171, rec(
      desc:= [ 128011 ],
      fp:= [ 18, 28 ],
      next:= [ 201, 200 ] ), rec(
      desc:= [ 128011 ],
      fp:= [ 9, 19 ],
      next:= [ 163, 162 ] ), 230, 365, 160, rec(
      desc:= [ 125011 ],
      fp:= [ 18, 28 ],
      next:= [ 165, 164 ] ), 240, 373, 180, 207, rec(
      desc:= [ 132011 ],
      fp:= [ 18, 28 ],
      next:= [ 225, 224 ] ), 466, 237, rec(
      desc:= [ 131011 ],
      fp:= [ 18, 28 ],
      next:= [ 174, 173 ] ), 196, 235, rec(
      desc:= [ 132011 ],
      fp:= [ 18, 28 ],
      next:= [ 193, 192 ] ), 219, 232, 244, 220, rec(
      desc:= [ 129011 ],
      fp:= [ 9, 19 ],
      next:= [ 159, 158 ] ), 318, 319, 218, 234, rec(
      desc:= [ 131011 ],
      fp:= [ 36, 46 ],
      next:= [ 316, 315 ] ), 241, 358, 233, 311, rec(
      desc:= [ 130011 ],
      fp:= [ 9, 19 ],
      next:= [ 199, 198 ] ), 366, rec(
      desc:= [ 133011 ],
      fp:= [ 18, 28 ],
      next:= [ 223, 222 ] ), 357, 354, rec(
      desc:= [ 125011 ],
      fp:= [ 9, 19 ],
      next:= [ 167, 166 ] ), 175, 236, 372, 231, 238 ] ), 321, rec(
    fp:= [ 9505, 30212, 40370, 64429, 78748 ],
    level:= 4,
    next:= [ 280, 97, 457, 274, 339 ] ), rec(
    fp:= [ 17677, 24756, 30736, 93145 ],
    level:= 4,
    next:= [ 376, 468, 377, 411 ] ), rec(
    fp:= [ 9062, 22427, 33060, 69561, 82565 ],
    level:= 4,
    next:= [ 289, 460, 288, 117, 343 ] ), rec(
    fp:= [ 4526, 14253, 72757 ],
    level:= 4,
    next:= [ 149, 143, 351 ] ), rec(
    fp:= [ 9038, 37785, 88346 ],
    level:= 4,
    next:= [ 77, 334, 78 ] ), rec(
    fp:= [ 20030, 23568, 48777 ],
    level:= 4,
    next:= [ 141, 142, 350 ] ), rec(
    fp:= [ 40514, 59144, 71632 ],
    level:= 4,
    next:= [ 325, 418, 329 ] ), rec(
    fp:= [ 16804, 21765, 23130, 24836, 38209, 41215, 55641, 58492, 63661, 
88246 ],
    level:= 4,
    next:= [ 403, 428, 388, 429, 421, 387, 386, 430, 402, 472 ] ), rec(
    fp:= [ 344, 19080, 21365, 23386, 23752, 27328, 49850, 56603, 78403, 
86028, 88585, 91265, 92069 ],
    level:= 4,
    next:= [ 11, 91, rec(
      desc:= [ 125011 ],
      fp:= [ 18, 28 ],
      next:= [ 83, 82 ] ), 336, 84, 17, 18, rec(
      desc:= [ 126011 ],
      fp:= [ 18, 28 ],
      next:= [ 87, 86 ] ), 90, 12, 92, rec(
      desc:= [ 123011 ],
      fp:= [ 18, 28 ],
      next:= [ 81, 80 ] ), rec(
      desc:= [ 127011 ],
      fp:= [ 36, 46 ],
      next:= [ 89, 88 ] ) ] ), 323, 322, rec(
    fp:= [ 11688, 15702, 19305, 26575, 41431, 58817, 60691, 70870, 81907, 
82173 ],
    level:= 4,
    next:= [ 383, 416, 412, 470, 415, 380, 384, 379, 381, 414 ] ), rec(
    fp:= [ 21039, 42029 ],
    level:= 4,
    next:= [ 444, 246 ] ), rec(
    fp:= [ 9514, 32725, 63279, 76373 ],
    level:= 4,
    next:= [ 378, 382, 413, 469 ] ), rec(
    fp:= [ 19358, 20982, 22649, 27402, 49450, 57994, 77193, 86716 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 129002 ],
      fp:= [ 3, 13 ],
      next:= [ 1, 2 ] ), rec(
      desc:= [ 127003 ],
      fp:= [ 6, 16 ],
      next:= [ 47, 46 ] ), rec(
      desc:= [ 123004 ],
      fp:= [ 12, 22 ],
      next:= [ 257, 258 ] ), rec(
      desc:= [ 127002 ],
      fp:= [ 6, 16 ],
      next:= [ 52, 53 ] ), 56, rec(
      desc:= [ 128004 ],
      fp:= [ 6, 16 ],
      next:= [ 48, 49 ] ), 4, 55 ] ), 333, rec(
    desc:= [ 121004 ],
    fp:= [ 12, 22 ],
    next:= [ 247, 248 ] ), rec(
    fp:= [ 20891, 54871, 65504 ],
    level:= 4,
    next:= [ 448, 452, 260 ] ), rec(
    fp:= [ 782, 8205, 18373, 20917, 21246, 32264, 65180, 72371, 72933, 
84538, 86553, 88825 ],
    level:= 4,
    next:= [ 312, 465, 367, 161, 363, 306, 209, 185, 371, 355, 197, 
221 ] ), rec(
    fp:= [ 16482, 34865, 38174, 45498, 53274, 61866, 63214, 63687, 71819, 
76865, 88052, 90903 ],
    level:= 4,
    next:= [ 183, 464, 157, 304, 361, 360, 362, 182, 353, 184, 305, 
181 ] ), rec(
    fp:= [ 19889, 83512, 90513, 94145, 96775 ],
    level:= 4,
    next:= [ 93, 456, 337, 272, 273 ] ), rec(
    fp:= [ 4114, 12498 ],
    level:= 4,
    next:= [ 250, 445 ] ), rec(
    fp:= [ 4354, 15609, 79956 ],
    level:= 4,
    next:= [ 261, 449, 453 ] ), rec(
    fp:= [ 39794, 66804, 73873 ],
    level:= 4,
    next:= [ 417, 324, 328 ] ), 349, rec(
    fp:= [ 16586, 23756, 52853, 56277 ],
    level:= 4,
    next:= [ 471, 385, 427, 401 ] ), 443, rec(
    fp:= [ 3434, 8449, 10268, 11353, 16650, 17839, 18800, 19443, 26909, 
41213, 43487, 43541, 48745, 49114, 54826, 56357, 56393, 59747, 59920, 61562, 
62387, 63982, 64627, 67744, 69241, 70812, 71439, 73173, 78304, 79232, 80282, 
84180, 85648, 88200, 88278, 90867, 94839, 95414, 97899 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 127011 ],
      fp:= [ 9, 19 ],
      next:= [ 103, 102 ] ), 287, 70, 114, rec(
      desc:= [ 128011 ],
      fp:= [ 9, 19 ],
      next:= [ 99, 98 ] ), 338, rec(
      desc:= [ 129011 ],
      fp:= [ 9, 19 ],
      next:= [ 95, 94 ] ), 69, 35, 108, 106, rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 278, 277 ] ), 115, 458, 107, 116, 64, 286, rec(
      desc:= [ 126011 ],
      fp:= [ 18, 28 ],
      next:= [ 101, 100 ] ), 63, 33, 285, 342, 113, 112, 340, 341, 279, rec(
      desc:= [ 133011 ],
      fp:= [ 18, 28 ],
      next:= [ 105, 104 ] ), 96, 24, 34, rec(
      desc:= [ 130011 ],
      fp:= [ 18, 28 ],
      next:= [ 282, 281 ] ), 36, rec(
      desc:= [ 132011 ],
      fp:= [ 36, 46 ],
      next:= [ 284, 283 ] ), 111, rec(
      desc:= [ 127011 ],
      fp:= [ 18, 28 ],
      next:= [ 276, 275 ] ), rec(
      desc:= [ 134011 ],
      fp:= [ 18, 28 ],
      next:= [ 110, 109 ] ), 39 ] ), rec(
    fp:= [ 10785, 13551, 17478, 30045, 46179, 47904, 73655, 77961, 78327 ],
    level:= 4,
    next:= [ 156, rec(
      desc:= [ 126011 ],
      fp:= [ 18, 28 ],
      next:= [ 151, 150 ] ), rec(
      desc:= [ 127011 ],
      fp:= [ 36, 46 ],
      next:= [ 153, 152 ] ), rec(
      desc:= [ 126011 ],
      fp:= [ 18, 28 ],
      next:= [ 147, 146 ] ), rec(
      desc:= [ 125011 ],
      fp:= [ 18, 28 ],
      next:= [ 145, 144 ] ), 154, 155, 352, 148 ] ), rec(
    fp:= [ 59889, 69287, 90792 ],
    level:= 4,
    next:= [ 331, 327, 420 ] ) ] );