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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  id27900.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[27900]:=
rec(
  fp:= [ 4801, 5533, 6898, 7658, 8145, 14005, 14414, 15779, 16420, 22250, 
22937, 23650, 24480, 29804, 31086, 33417, 33788, 38263, 45268, 47049, 49935, 
50831, 54149, 57219, 58816, 61403, 61766, 61861, 61953, 63226, 67233, 67596, 
70477, 74077, 76465, 83920, 85262, 86002, 89996, 90074, 90222, 91832, 
93687 ],
  next:= [ rec(
    fp:= [ 14472, 89566 ],
    level:= 4,
    next:= [ 304, 165 ] ), rec(
    fp:= [ 3183, 3550, 4335, 7185, 8075, 17097, 18060, 18646, 20403, 21718, 
26586, 27231, 27778, 30015, 32501, 32784, 34035, 34855, 35488, 41387, 44167, 
44543, 56286, 56432, 60651, 61968, 62941, 66164, 67180, 67521, 70223, 70235, 
70372, 74689, 76109, 76895, 80675, 85040, 85170, 88453, 98197 ],
    level:= 4,
    next:= [ 111, 109, 199, 147, 138, 105, 110, 139, 241, 248, 192, 142, 98, 
148, 108, 143, 198, 140, 243, 112, 146, 97, 191, 321, 185, 144, 137, 247, 
245, 141, 107, 249, 113, 186, 239, 240, 193, 187, 104, 244, 145 ] ), rec(
    fp:= [ 16298, 63356 ],
    level:= 4,
    next:= [ 230, 318 ] ), rec(
    fp:= [ 34273, 90769 ],
    level:= 4,
    next:= [ 254, 322 ] ), rec(
    fp:= [ 5351, 12498, 33813, 55699, 74796 ],
    level:= 4,
    next:= [ 12, 69, 70, 307, 169 ] ), rec(
    fp:= [ 15660, 34970, 62037, 86649, 95770 ],
    level:= 4,
    next:= [ 305, 166, 167, 168, 164 ] ), rec(
    fp:= [ 15657, 19260, 38590, 48593, 48684, 57901, 77453, 81366, 87028 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 149, 151 ] ), 117, 135, 119, 118, 136, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 251, 253 ] ), 237, rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 150, 152 ] ) ] ), 234, rec(
    fp:= [ 52878, 56621, 77121, 91954 ],
    level:= 4,
    next:= [ 314, 220, 175, 308 ] ), rec(
    fp:= [ 46758, 53176, 92114 ],
    level:= 4,
    next:= [ 218, 77, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 224, 226 ] ) ] ), rec(
    fp:= [ 36889, 48593, 50865 ],
    level:= 4,
    next:= [ 16, 76, 15 ] ), rec(
    fp:= [ 7755, 32969, 37614, 76535, 96842 ],
    level:= 4,
    next:= [ 209, 286, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 211, 213 ] ), 207, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 300, 302 ] ) ] ), rec(
    fp:= [ 2364, 17607, 22139, 23709, 32231, 37747, 45177, 46106, 48745, 
57319, 97322 ],
    level:= 4,
    next:= [ 38, 4, 156, 194, 26, 195, 157, 317, 127, 228, 25 ] ), rec(
    fp:= [ 72268, 85005, 93181 ],
    level:= 4,
    next:= [ 202, 30, 29 ] ), rec(
    fp:= [ 17518, 19272, 28138, 35560, 40749, 41318, 53025, 58926, 60613, 
65045, 68664, 70051, 70779, 74244, 75992, 80550, 81455, 87405, 89911, 
93212 ],
    level:= 4,
    next:= [ 269, 277, 291, 327, 294, 265, 273, 295, 274, 297, 266, 298, 
293, 272, 268, 299, 276, 270, 289, 290 ] ), rec(
    fp:= [ 15833, 16950, 19419, 29741, 40332, 50552, 64209, 66040, 73772 ],
    level:= 4,
    next:= [ 34, 206, 204, 31, 33, 57, 32, 285, 58 ] ), rec(
    fp:= [ 9512, 9945, 11233, 51335, 57226, 67794, 72070, 82231, 86214, 
99237 ],
    level:= 4,
    next:= [ 72, 20, 82, 83, 13, 66, 174, 21, 65, 19 ] ), rec(
    fp:= [ 12036, 37711, 50657, 63252, 80912, 87730, 89300 ],
    level:= 4,
    next:= [ 311, 71, 200, 22, 310, 153, 179 ] ), rec(
    fp:= [ 686, 7911, 23798, 43879, 48789, 76104, 92739 ],
    level:= 4,
    next:= [ 190, 242, 106, 238, 184, 320, 246 ] ), 201, rec(
    fp:= [ 1555, 7191, 16844, 23812, 23860, 25363, 25430, 29556, 39913, 
40533, 42930, 46261, 47827, 47891, 47982, 51561, 55181, 57778, 61722, 70946, 
71732, 77823, 87591, 93103, 98619, 99043 ],
    level:= 4,
    next:= [ 232, 7, 9, 44, 158, 8, 196, 229, 41, 45, 42, 43, 319, 10, 130, 
132, 11, 129, 131, 231, 233, 128, 159, 28, 197, 27 ] ), rec(
    fp:= [ 16887, 18539, 27977, 76687 ],
    level:= 4,
    next:= [ 324, 257, 280, 261 ] ), rec(
    fp:= [ 56507, 71174, 95445 ],
    level:= 4,
    next:= [ 116, 236, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 250, 252 ] ) ] ), 114, rec(
    fp:= [ 24914, 31821, 63935, 66226, 85102, 87525, 95518 ],
    level:= 4,
    next:= [ 39, 133, 235, 5, 134, 40, 6 ] ), 312, rec(
    fp:= [ 292, 1987, 3360, 7772, 8113, 17837, 18193, 25120, 26581, 27549, 
28289, 30023, 30169, 34020, 36987, 37378, 38288, 47597, 50970, 54412, 67920, 
68054, 80770 ],
    level:= 4,
    next:= [ 92, 222, 177, 182, 170, 74, 309, 89, 171, 14, 73, 176, 315, 90, 
68, 64, 221, 91, 172, 178, 223, 67, 183 ] ), 316, rec(
    fp:= [ 7786, 41130, 42782, 68561 ],
    level:= 4,
    next:= [ 124, 188, 100, 120 ] ), 75, 216, rec(
    fp:= [ 16152, 16706, 49753, 54017, 57620, 59482, 72469, 75889, 86953, 
91113, 97035 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 225, 227 ] ), 87, 79, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 93, 95 ] ), 78, 219, 88, 18, 80, 17, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 94, 96 ] ) ] ), rec(
    fp:= [ 25400, 38761, 59201, 87308, 88221 ],
    level:= 4,
    next:= [ 210, 208, 287, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 212, 214 ] ), rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 301, 303 ] ) ] ), rec(
    fp:= [ 30352, 87599 ],
    level:= 4,
    next:= [ 81, 173 ] ), 306, rec(
    fp:= [ 1104, 5653, 22350, 24967, 39530, 46120, 46121, 54363 ],
    level:= 4,
    next:= [ 296, 288, 275, 292, 271, 267, 326, 264 ] ), 115, rec(
    fp:= [ 4467, 7963, 25530, 47668, 49664, 65884, 74142, 75712, 79052, 
98109, 98616 ],
    level:= 4,
    next:= [ 24, 3, 37, 181, 23, 84, 154, 180, 215, 313, 155 ] ), rec(
    fp:= [ 3591, 5139, 20885, 21082, 33365, 37297, 50785, 67327, 70684, 
98433 ],
    level:= 4,
    next:= [ 123, 102, 189, 103, 122, 126, 101, 125, 99, 121 ] ), rec(
    fp:= [ 24688, 25798, 28737, 34217, 48655, 52599, 53898, 65965, 67264, 
70504 ],
    level:= 4,
    next:= [ 160, 255, 161, 48, 323, 47, 56, 256, 278, 46 ] ), rec(
    fp:= [ 57457, 94398, 98939 ],
    level:= 4,
    next:= [ 205, 203, 284 ] ), rec(
    fp:= [ 2812, 6508, 45688, 47820, 77802, 79786, 95755 ],
    level:= 4,
    next:= [ 86, 35, 85, 1, 217, 2, 36 ] ), rec(
    fp:= [ 652, 1777, 15143, 18483, 21106, 29575, 35772, 42511, 45358, 
46628, 53859, 54380, 54516, 56363, 67937, 70829, 71165, 72294, 72336, 81303, 
90814, 95130, 96303, 97696 ],
    level:= 4,
    next:= [ 258, 61, 282, 52, 279, 55, 62, 53, 49, 281, 50, 63, 163, 283, 
54, 260, 259, 59, 162, 263, 51, 60, 325, 262 ] ) ] );