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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  id23100.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[23100]:=
rec(
  fp:= [ 468, 2501, 5686, 12479, 12534, 13236, 17926, 18081, 18216, 18865, 
19094, 19640, 20000, 23054, 23251, 24164, 24717, 36109, 39708, 41174, 45051, 
45144, 50843, 51561, 56586, 56594, 58794, 58812, 59032, 63283, 63792, 64441, 
64802, 67212, 69134, 69595, 70293, 72298, 73725, 75197, 76554, 80169, 87596, 
87689, 88855, 90787, 92415, 94012, 94718, 96086, 96419, 97137, 99337 ],
  next:= [ rec(
    fp:= [ 57449, 76480, 78847 ],
    level:= 4,
    next:= [ 200, 114, 116 ] ), rec(
    fp:= [ 13242, 19492, 82876, 85466 ],
    level:= 4,
    next:= [ 298, 348, 282, 266 ] ), 63, 76, 332, rec(
    fp:= [ 30698, 83350 ],
    level:= 4,
    next:= [ 263, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 315, 319 ] ) ] ), rec(
    fp:= [ 11794, 19717, 50354, 56833, 60812, 65911, 77443, 81587, 85258 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 140, 144 ] ), rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 138, 142 ] ), 101, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 224, 228 ] ), 120, 105, 118, 204, 103 ] ), 78, 258, rec(
    fp:= [ 4393, 73017, 74926 ],
    level:= 4,
    next:= [ 261, 38, 39 ] ), 340, rec(
    fp:= [ 318, 5221, 9532, 20582, 21830, 22088, 26689, 27025, 33585, 43484, 
47074, 48302, 50578, 52183, 52401, 54909, 57313, 59687, 62639, 64149, 66928, 
68146, 71987, 72934, 83018, 97034, 98417, 99594 ],
    level:= 4,
    next:= [ 286, 312, 290, 304, 277, 295, 279, 289, 276, 297, 313, 272, 
351, 281, 271, 309, 308, 280, 296, 303, 275, 291, 307, 311, 287, 305, 273, 
293 ] ), rec(
    fp:= [ 32815, 40098, 47811 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 223, 227 ] ), 100, 203 ] ), 322, rec(
    fp:= [ 3929, 10916, 15343, 38620, 42202, 61372, 67547, 77475, 86476 ],
    level:= 4,
    next:= [ 115, 22, 23, 3, 2, 117, 4, 5, 201 ] ), 62, rec(
    fp:= [ 64044, 75673 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 316, 320 ] ), 264 ] ), 198, rec(
    fp:= [ 1118, 1875, 5998, 8395, 9882, 10783, 12376, 12868, 16875, 21841, 
26446, 28234, 34160, 38249, 42648, 43555, 46714, 47277, 48932, 49833, 53733, 
55819, 56812, 66091, 68400, 68765, 69707, 71065, 72188, 73441, 80431, 81925, 
83458, 83859, 84222, 85681, 90527, 93480, 94039, 96185, 98225 ],
    level:= 4,
    next:= [ 214, 85, 217, 220, 212, 168, 210, 93, 95, 132, 134, 167, 136, 
92, 170, 97, 174, 187, 130, 215, 86, 124, 135, 123, 137, 219, 339, 128, 178, 
90, 88, 96, 127, 91, 98, 125, 211, 189, 176, 131, 221 ] ), rec(
    fp:= [ 17806, 30267, 36526, 43113, 80568 ],
    level:= 4,
    next:= [ 341, 230, 153, 154, 30 ] ), rec(
    fp:= [ 35467, 46629 ],
    level:= 4,
    next:= [ 65, 161 ] ), rec(
    fp:= [ 23113, 70277, 78777, 85705 ],
    level:= 4,
    next:= [ 81, 68, 72, 163 ] ), 260, rec(
    fp:= [ 4176, 56309, 57920 ],
    level:= 4,
    next:= [ 36, 259, 37 ] ), rec(
    fp:= [ 40780, 94014 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 314, 318 ] ), 262 ] ), rec(
    fp:= [ 10038, 24850, 79369, 83198, 98089 ],
    level:= 4,
    next:= [ 24, 192, 333, 150, 149 ] ), rec(
    fp:= [ 3143, 15122, 16685, 28334, 29069, 29487, 33842, 38150, 42822, 
54471, 69620, 89797, 98229 ],
    level:= 4,
    next:= [ 64, 331, 14, 181, 13, 148, 147, 1, 12, 180, 107, 191, 
19 ] ), rec(
    fp:= [ 22115, 39291, 40437, 52428, 57574, 63328, 64473, 73567, 79471, 
93873 ],
    level:= 4,
    next:= [ 299, 268, 349, 283, 292, 269, 300, 284, 267, 301 ] ), rec(
    fp:= [ 4590, 10814, 37309, 40145, 42834, 45745, 52067, 78166, 82725, 
86970, 89245, 96886 ],
    level:= 4,
    next:= [ 231, 34, 33, 35, 233, 234, 31, 343, 32, 235, 156, 155 ] ), rec(
    fp:= [ 10674, 17829, 34193, 59774, 67554, 73291, 81784, 83077, 83929 ],
    level:= 4,
    next:= [ 121, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 141, 145 ] ), 119, 104, 205, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 139, 143 ] ), 106, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 225, 229 ] ), 102 ] ), rec(
    fp:= [ 56648, 71123 ],
    level:= 4,
    next:= [ 242, 344 ] ), rec(
    fp:= [ 714, 1600, 3612, 10395, 13073, 13884, 24219, 24335, 26391, 36778, 
41108, 43596, 46044, 46858, 47930, 49529, 59734, 61370, 66189, 66195, 66463, 
71284, 73568, 76538, 76570, 77979, 80813, 83823, 86415, 87780, 91385, 92288, 
98228 ],
    level:= 4,
    next:= [ 256, 42, 43, 253, 58, 41, 59, 160, 257, 44, 249, 251, 51, 53, 
241, 237, 255, 239, 61, 247, 50, 56, 347, 52, 45, 55, 57, 60, 252, 240, 54, 
159, 248 ] ), 325, rec(
    fp:= [ 21368, 54740, 93428, 98705 ],
    level:= 4,
    next:= [ 326, 336, 206, 171 ] ), rec(
    fp:= [ 612, 97541 ],
    level:= 4,
    next:= [ 342, 232 ] ), rec(
    fp:= [ 21480, 24011, 31373, 77667 ],
    level:= 4,
    next:= [ 79, 66, 162, 67 ] ), rec(
    fp:= [ 776, 7062, 9796, 18248, 29674, 50690, 53227, 62738, 75733, 
87866 ],
    level:= 4,
    next:= [ 288, 285, 350, 310, 302, 294, 274, 270, 278, 306 ] ), 323, rec(
    fp:= [ 2522, 24131 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 317, 321 ] ), 265 ] ), rec(
    fp:= [ 9727, 40671, 41378, 43834, 59594, 70885, 73090, 73614, 89057, 
99366 ],
    level:= 4,
    next:= [ 74, 80, 73, 83, 70, 69, 82, 164, 71, 84 ] ), rec(
    fp:= [ 4702, 42726, 52275, 62254, 84168 ],
    level:= 4,
    next:= [ 184, 194, 334, 109, 182 ] ), rec(
    fp:= [ 3110, 13253, 15979 ],
    level:= 4,
    next:= [ 20, 21, 199 ] ), 75, 77, rec(
    fp:= [ 2881, 8395, 89336 ],
    level:= 4,
    next:= [ 190, 146, 329 ] ), rec(
    fp:= [ 54058, 64950, 76509 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 222, 226 ] ), 202, 99 ] ), rec(
    fp:= [ 8707, 52521, 72730 ],
    level:= 4,
    next:= [ 179, 330, 328 ] ), rec(
    fp:= [ 7559, 14130, 18968, 22313, 41988, 45061, 46418, 51045, 53340, 
62829, 63206, 85222, 87740, 89315, 91732, 93328, 96911, 99601 ],
    level:= 4,
    next:= [ 166, 218, 94, 213, 209, 133, 169, 338, 175, 186, 188, 126, 177, 
122, 89, 173, 327, 129 ] ), 324, rec(
    fp:= [ 29534, 64823, 67042, 67809, 70087, 93816, 94610 ],
    level:= 4,
    next:= [ 337, 165, 172, 87, 216, 208, 207 ] ), rec(
    fp:= [ 18173, 26340, 35363, 58146, 81450 ],
    level:= 4,
    next:= [ 238, 254, 346, 246, 250 ] ), rec(
    fp:= [ 938, 3453, 8247, 15147, 18325, 22549, 25497, 38188, 52719, 56908, 
58548, 80809 ],
    level:= 4,
    next:= [ 48, 46, 244, 49, 243, 236, 40, 345, 158, 157, 47, 245 ] ), rec(
    fp:= [ 4869, 8666, 9917, 16359, 19099, 21449, 23424, 29241, 34776, 
34914, 35928, 37368, 41623, 44600, 53228, 53272, 60119, 60763, 61559, 69688, 
69991, 72024, 72412, 74050, 74870, 77974, 87290, 87442, 92770 ],
    level:= 4,
    next:= [ 16, 193, 25, 113, 110, 108, 29, 152, 18, 196, 8, 9, 15, 10, 11, 
183, 27, 17, 195, 111, 26, 28, 185, 335, 197, 112, 7, 6, 151 ] ) ] );