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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  id33300.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[33300]:=
rec(
  fp:= [ 324, 705, 1996, 2870, 5341, 7460, 9065, 9341, 11077, 13862, 15839, 
17249, 17420, 19347, 21402, 21583, 23382, 27019, 29834, 34140, 34739, 35435, 
35448, 35940, 36195, 36398, 38554, 44957, 48983, 50384, 52032, 52098, 52103, 
54153, 55289, 63898, 70742, 71505, 72797, 76365, 78173, 78770, 82059, 82935, 
84599, 88179, 88679, 89383, 91438, 93339, 94115, 98311, 99493 ],
  next:= [ 247, rec(
    fp:= [ 24898, 25802, 66895, 88549 ],
    level:= 4,
    next:= [ 304, 328, 382, 305 ] ), rec(
    fp:= [ 2836, 18308, 53930, 55842 ],
    level:= 4,
    next:= [ 29, 24, rec(
      desc:= [ 123002 ],
      fp:= [ 24, 2014 ],
      next:= [ 27, 26 ] ), 28 ] ), 275, 365, rec(
    fp:= [ 47329, 84271, 97259 ],
    level:= 4,
    next:= [ 369, 370, 199 ] ), rec(
    fp:= [ 9355, 16063, 28912, 29940, 38167, 41738, 49362, 52142, 64635, 
69295 ],
    level:= 4,
    next:= [ 20, 49, 79, 4, 48, 21, 62, 80, 194, 22 ] ), rec(
    fp:= [ 13222, 14552, 24966 ],
    level:= 4,
    next:= [ 251, 70, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 260, 264 ] ) ] ), rec(
    fp:= [ 33586, 37039, 49964, 79927, 92915 ],
    level:= 4,
    next:= [ 268, 145, 215, 376, 214 ] ), rec(
    fp:= [ 5213, 9249, 17592, 34887, 45695, 50636, 66076, 71608, 75012, 
75967, 77441, 79381 ],
    level:= 4,
    next:= [ 1, 32, 14, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 41, 44 ] ), 5, rec(
      desc:= [ 114002 ],
      fp:= [ 24, 34, 2014 ],
      next:= [ 40, 39, 43 ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 24, 2014 ],
      next:= [ 31, 30 ] ), 17, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 42, 45 ] ), 37, 33, rec(
      desc:= [ 113008 ],
      fp:= [ 24, 34 ],
      next:= [ 13, 12 ] ) ] ), rec(
    fp:= [ 4282, 6697, 14753, 40630, 43528, 45788, 58975 ],
    level:= 4,
    next:= [ 283, 287, 204, 379, 292, 210, 118 ] ), 180, rec(
    fp:= [ 68674, 97086 ],
    level:= 4,
    next:= [ 366, 187 ] ), rec(
    fp:= [ 35239, 66094, 67913 ],
    level:= 4,
    next:= [ 223, 335, 226 ] ), rec(
    fp:= [ 2204, 3390, 3653, 5322 ],
    level:= 4,
    next:= [ 306, 383, 310, 331 ] ), rec(
    fp:= [ 4647, 10823, 40971, 48642, 57484, 59477, 72465, 80563, 81046, 
85319, 87908, 93996 ],
    level:= 4,
    next:= [ 272, 150, 273, 148, 270, 378, 216, 217, 151, 274, 147, 
149 ] ), rec(
    fp:= [ 33745, 56662, 86598, 94792, 97253 ],
    level:= 4,
    next:= [ 364, 185, 184, 183, 181 ] ), rec(
    fp:= [ 353, 6240, 12225, 12847, 14305, 15175, 16288, 21377, 23567, 
23969, 27387, 27524, 28130, 31843, 34236, 37184, 38322, 40590, 41488, 42958, 
45773, 45833, 52083, 56888, 57293, 62046, 63483, 67130, 69763, 69876, 73182, 
74958, 76672, 76868, 77896, 78541, 79798, 86953, 88784, 98029, 99536 ],
    level:= 4,
    next:= [ 124, 172, 122, 211, 161, 120, 291, 119, 166, 285, 115, 165, 
121, 168, 219, 171, 207, 123, 125, 284, 169, 206, 295, 380, 162, 213, 289, 
293, 286, 218, 163, 117, 164, 212, 294, 107, 170, 160, 205, 288, 105 ] ), 
126, 220, rec(
    fp:= [ 10744, 45812, 76097 ],
    level:= 4,
    next:= [ 127, 108, 128 ] ), rec(
    fp:= [ 98044, 98527 ],
    level:= 4,
    next:= [ 377, 271 ] ), rec(
    fp:= [ 1766, 6606, 9596, 25020, 37397, 41207, 42666, 42825, 43198, 
43460, 44654, 45426, 48010, 52228, 66011, 73928, 76325, 80029, 84910, 86820, 
93128, 96269, 97359 ],
    level:= 4,
    next:= [ 198, 257, 202, 66, 203, 189, 192, 256, 368, 8, 96, 52, 53, 196, 
259, 94, 47, 197, 93, 92, 191, 374, 64 ] ), 371, rec(
    fp:= [ 35068, 37703 ],
    level:= 4,
    next:= [ 303, 381 ] ), 375, rec(
    fp:= [ 10576, 91010 ],
    level:= 4,
    next:= [ 54, 190 ] ), rec(
    fp:= [ 5028, 12118, 43791, 48949 ],
    level:= 4,
    next:= [ 255, 367, 373, 195 ] ), rec(
    fp:= [ 12954, 44865, 48034, 64051, 71045, 86057, 87062 ],
    level:= 4,
    next:= [ 87, 250, rec(
      desc:= [ 117043 ],
      fp:= [ 216, 18046 ],
      next:= [ 249, 248 ] ), 245, rec(
      desc:= [ 120008 ],
      fp:= [ 72, 6022 ],
      next:= [ 85, 84 ] ), 86, 82 ] ), rec(
    fp:= [ 7362, 8548, 57531, 72710 ],
    level:= 4,
    next:= [ 110, 208, 141, 137 ] ), rec(
    fp:= [ 55935, 60744, 67953 ],
    level:= 4,
    next:= [ 56, 55, 25 ] ), rec(
    fp:= [ 2035, 43850, 52939, 57227, 74299, 79816, 92830 ],
    level:= 4,
    next:= [ 229, 329, 225, rec(
      desc:= [ 112043 ],
      fp:= [ 216, 18046 ],
      next:= [ 228, 227 ] ), 224, rec(
      desc:= [ 115043 ],
      fp:= [ 216, 18046 ],
      next:= [ 337, 336 ] ), 338 ] ), 67, rec(
    fp:= [ 5005, 7771, 15031, 20604, 23269, 48796, 64495, 64952, 73852, 
78757 ],
    level:= 4,
    next:= [ 308, 332, 333, 307, 312, 311, 334, 309, 330, 384 ] ), rec(
    fp:= [ 7400, 32861, 54594, 56830, 57950, 62261, 63675, 68692, 83915, 
91430 ],
    level:= 4,
    next:= [ 140, 109, 143, 111, 112, 139, 113, 138, 209, 142 ] ), rec(
    fp:= [ 4410, 12601, 19135, 20447, 22518, 45369, 46026, 50371, 57735, 
60334, 79882 ],
    level:= 4,
    next:= [ 46, 57, 34, 35, 51, 38, 50, 36, 188, 6, 58 ] ), rec(
    fp:= [ 10805, 33348, 58880, 87875, 95253 ],
    level:= 4,
    next:= [ 339, 234, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 356, 360 ] ), 230, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 237, 241 ] ) ] ), rec(
    fp:= [ 50814, 73825 ],
    level:= 4,
    next:= [ 244, 81 ] ), rec(
    fp:= [ 375, 2044, 2380, 7620, 31147, 37206, 56778, 83255 ],
    level:= 4,
    next:= [ 313, 343, 352, 316, 385, 320, 324, 347 ] ), 186, rec(
    fp:= [ 46895, 69906 ],
    level:= 4,
    next:= [ 267, 144 ] ), rec(
    fp:= [ 3541, 71787 ],
    level:= 4,
    next:= [ 193, 78 ] ), rec(
    fp:= [ 23935, 41160, 48343, 77959, 82250, 84552, 96009 ],
    level:= 4,
    next:= [ 9, 61, 3, 10, 11, 68, 69 ] ), rec(
    fp:= [ 31691, 49443, 59857 ],
    level:= 4,
    next:= [ 279, 129, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 296, 300 ] ) ] ), rec(
    fp:= [ 19830, 32818, 36826, 78894, 80821 ],
    level:= 4,
    next:= [ 372, 200, 246, 201, 83 ] ), 23, rec(
    fp:= [ 10692, 21283, 48132, 64149, 71143, 79752, 87160 ],
    level:= 4,
    next:= [ 155, 154, rec(
      desc:= [ 121043 ],
      fp:= [ 216, 18046 ],
      next:= [ 277, 276 ] ), 269, rec(
      desc:= [ 124008 ],
      fp:= [ 72, 6022 ],
      next:= [ 153, 152 ] ), 278, 146 ] ), rec(
    fp:= [ 12338, 20925, 22474, 28539, 32549, 41622, 57548, 60663, 70967, 
80116, 84202 ],
    level:= 4,
    next:= [ 342, rec(
      desc:= [ 110043 ],
      fp:= [ 216, 226, 18046 ],
      next:= [ 358, 357, 361 ] ), 233, rec(
      desc:= [ 109043 ],
      fp:= [ 216, 226, 18046 ],
      next:= [ 239, 238, 242 ] ), 235, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 359, 362 ] ), 236, rec(
      desc:= [ 114043 ],
      fp:= [ 216, 18046 ],
      next:= [ 341, 340 ] ), rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 240, 243 ] ), 350, rec(
      desc:= [ 111043 ],
      fp:= [ 216, 18046 ],
      next:= [ 232, 231 ] ) ] ), rec(
    fp:= [ 2826, 3602, 5103, 8487, 20119, 38406, 43357, 53287, 56955, 57045, 
60253, 60547, 61317, 71575, 74440, 82392, 84382, 90039, 90063, 98795 ],
    level:= 4,
    next:= [ 315, 317, 353, 318, 349, 386, 344, 319, 348, 355, 345, 346, 
322, 351, 326, 323, 314, 354, 325, 321 ] ), rec(
    fp:= [ 88284, 92116 ],
    level:= 4,
    next:= [ 182, 363 ] ), rec(
    fp:= [ 3532, 4719, 18498, 20945, 25217, 29836, 32719, 38217, 40685, 
61235, 67227, 67886, 70993, 71720, 84552, 85487, 86942, 89022, 89525, 92939, 
96009 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 120008 ],
      fp:= [ 72, 6022 ],
      next:= [ 157, 156 ] ), 290, 106, 132, rec(
      desc:= [ 114043 ],
      fp:= [ 72, 82 ],
      next:= [ 131, 130 ] ), 158, rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 175, 178 ] ), 159, rec(
      desc:= [ 117043 ],
      fp:= [ 216, 18046 ],
      next:= [ 281, 280 ] ), 282, 167, 114, rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 176, 179 ] ), rec(
      desc:= [ 115008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 174, 173, 177 ] ), rec(
      desc:= [ 115043 ],
      fp:= [ 72, 82 ],
      next:= [ 134, 133 ] ), rec(
      desc:= [ 113043 ],
      fp:= [ 216, 226, 18046 ],
      next:= [ 298, 297, 301 ] ), rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 299, 302 ] ), 104, 135, 116, 136 ] ), rec(
    fp:= [ 19449, 76797, 87083 ],
    level:= 4,
    next:= [ 221, 327, 222 ] ), rec(
    fp:= [ 2829, 9791, 10939, 13361, 17955, 24143, 25183, 32740, 33846, 
44760, 45925, 54992, 59282, 59941, 70241, 71686, 72739, 74559, 79589, 84518, 
84994, 85453, 87784, 91363, 95248, 96435 ],
    level:= 4,
    next:= [ 7, 2, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 100, 103 ] ), 90, rec(
      desc:= [ 113008 ],
      fp:= [ 24, 34 ],
      next:= [ 16, 15 ] ), 91, rec(
      desc:= [ 112043 ],
      fp:= [ 72, 82 ],
      next:= [ 72, 71 ] ), rec(
      desc:= [ 115043 ],
      fp:= [ 216, 18046 ],
      next:= [ 253, 252 ] ), 59, 254, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 263, 266 ] ), 77, 95, 63, 76, rec(
      desc:= [ 113008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 98, 97, 101 ] ), 60, 18, 73, rec(
      desc:= [ 113043 ],
      fp:= [ 72, 82 ],
      next:= [ 75, 74 ] ), 65, rec(
      desc:= [ 111043 ],
      fp:= [ 216, 226, 18046 ],
      next:= [ 262, 261, 265 ] ), 19, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 99, 102 ] ), rec(
      desc:= [ 118008 ],
      fp:= [ 72, 6022 ],
      next:= [ 89, 88 ] ), 258 ] ) ] );