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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  id27300.p              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[27300].next[16]:=
rec(
  fp:= [ 2997, 4145, 4321, 8866, 9959, 13929, 14498, 14695, 16054, 18160, 
18315, 18683, 22336, 24681, 25208, 28066, 29211, 29955, 32435, 35062, 35430, 
36858, 38735, 39228, 41935, 43469, 44064, 46476, 50427, 51034, 52139, 53358, 
54418, 54427, 55243, 56380, 56783, 58360, 59059, 60116, 61272, 61816, 66195, 
68111, 68902, 72919, 73154, 73619, 74271, 77948, 78358, 78363, 80409, 81760, 
84292, 89236, 89337, 90129, 91016, 92532, 94720, 96714, 98738 ],
  level:= 4,
  next:= [ rec(
    desc:= [ 123003 ],
    fp:= [ 12, 22 ],
    next:= [ 209, 210 ] ), rec(
    desc:= [ 116004 ],
    fp:= [ 6, 16 ],
    next:= [ 4, 3 ] ), rec(
    desc:= [ 113008 ],
    fp:= [ 24, 34 ],
    next:= [ rec(
      desc:= [ 114002 ],
      fp:= [ 6, 16 ],
      next:= [ 94, 92 ] ), rec(
      desc:= [ 114002 ],
      fp:= [ 6, 16 ],
      next:= [ 93, 91 ] ) ] ), rec(
    desc:= [ 116008 ],
    fp:= [ 72, 82, 6022 ],
    next:= [ 490, 489, 496 ] ), rec(
    desc:= [ 119002 ],
    fp:= [ 24, 2014 ],
    next:= [ rec(
      desc:= [ 121002 ],
      fp:= [ 6, 16 ],
      next:= [ 216, 214 ] ), rec(
      desc:= [ 122002 ],
      fp:= [ 6, 16 ],
      next:= [ 215, 213 ] ) ] ), 294, 223, rec(
    desc:= [ 124009 ],
    fp:= [ 24, 34 ],
    next:= [ 221, 222 ] ), rec(
    desc:= [ 113002 ],
    fp:= [ 24, 34, 2014 ],
    next:= [ rec(
      desc:= [ 114004 ],
      fp:= [ 6, 16 ],
      next:= [ 308, 307 ] ), rec(
      desc:= [ 114004 ],
      fp:= [ 6, 16 ],
      next:= [ 306, 305 ] ), rec(
      desc:= [ 115004 ],
      fp:= [ 6, 16 ],
      next:= [ 337, 336 ] ) ] ), 227, rec(
    desc:= [ 115003 ],
    fp:= [ 12, 22 ],
    next:= [ 87, 88 ] ), rec(
    desc:= [ 112008 ],
    fp:= [ 24, 34 ],
    next:= [ rec(
      desc:= [ 113004 ],
      fp:= [ 6, 16 ],
      next:= [ 82, 80 ] ), rec(
      desc:= [ 113004 ],
      fp:= [ 6, 16 ],
      next:= [ 81, 79 ] ) ] ), rec(
    desc:= [ 114008 ],
    fp:= [ 72, 82, 6022 ],
    next:= [ 312, 311, 340 ] ), 101, rec(
    desc:= [ 114009 ],
    fp:= [ 12, 22 ],
    next:= [ 83, 84 ] ), 109, rec(
    desc:= [ 105002 ],
    fp:= [ 16, 412 ],
    next:= [ 331, 355 ] ), rec(
    desc:= [ 115008 ],
    fp:= [ 24, 34 ],
    next:= [ 107, 106 ] ), rec(
    desc:= [ 113008 ],
    fp:= [ 24, 34 ],
    next:= [ 86, 85 ] ), 7, 60, rec(
    desc:= [ 117004 ],
    fp:= [ 6, 16 ],
    next:= [ 271, 270 ] ), 478, 226, rec(
    desc:= [ 105002 ],
    fp:= [ 16, 412 ],
    next:= [ 327, 352 ] ), 32, rec(
    desc:= [ 122009 ],
    fp:= [ 12, 22 ],
    next:= [ 205, 206 ] ), rec(
    desc:= [ 120002 ],
    fp:= [ 24, 2014 ],
    next:= [ 225, 224 ] ), rec(
    desc:= [ 115002 ],
    fp:= [ 24, 34, 2014 ],
    next:= [ 329, 328, 353 ] ), rec(
    desc:= [ 114008 ],
    fp:= [ 24, 34 ],
    next:= [ 104, 103 ] ), rec(
    desc:= [ 105002 ],
    fp:= [ 16, 412 ],
    next:= [ 330, 354 ] ), 50, rec(
    desc:= [ 118003 ],
    fp:= [ 144, 154, 9658 ],
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 313, 341 ] ), 314, 342 ] ), rec(
    desc:= [ 114002 ],
    fp:= [ 24, 34, 2014 ],
    next:= [ rec(
      desc:= [ 115002 ],
      fp:= [ 6, 16 ],
      next:= [ 320, 318 ] ), rec(
      desc:= [ 115002 ],
      fp:= [ 6, 16 ],
      next:= [ 319, 317 ] ), rec(
      desc:= [ 116002 ],
      fp:= [ 6, 16 ],
      next:= [ 346, 345 ] ) ] ), 12, 89, 292, rec(
    desc:= [ 118002 ],
    fp:= [ 24, 2014 ],
    next:= [ rec(
      desc:= [ 120004 ],
      fp:= [ 6, 16 ],
      next:= [ 204, 203 ] ), rec(
      desc:= [ 121004 ],
      fp:= [ 6, 16 ],
      next:= [ 202, 201 ] ) ] ), rec(
    desc:= [ 115008 ],
    fp:= [ 72, 82, 6022 ],
    next:= [ 324, 323, 349 ] ), 274, rec(
    desc:= [ 121008 ],
    fp:= [ 72, 6022 ],
    next:= [ 464, 463 ] ), rec(
    desc:= [ 118002 ],
    fp:= [ 6, 16 ],
    next:= [ 289, 288 ] ), rec(
    desc:= [ 118023 ],
    fp:= [ 144, 154, 9658 ],
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 322, 348 ] ), 321, 347 ] ), rec(
    desc:= [ 116002 ],
    fp:= [ 6, 16 ],
    next:= [ 47, 46 ] ), 211, 108, rec(
    desc:= [ 117002 ],
    fp:= [ 6, 16 ],
    next:= [ 10, 9 ] ), rec(
    desc:= [ 123004 ],
    fp:= [ 12, 22 ],
    next:= [ 218, 217 ] ), 465, rec(
    desc:= [ 119008 ],
    fp:= [ 72, 6022 ],
    next:= [ 208, 207 ] ), rec(
    desc:= [ 115004 ],
    fp:= [ 6, 16 ],
    next:= [ 29, 28 ] ), 62, 14, rec(
    desc:= [ 105002 ],
    fp:= [ 16, 412 ],
    next:= [ 315, 343 ] ), rec(
    desc:= [ 115004 ],
    fp:= [ 12, 22 ],
    next:= [ 96, 95 ] ), rec(
    desc:= [ 120008 ],
    fp:= [ 72, 6022 ],
    next:= [ 220, 219 ] ), rec(
    desc:= [ 116009 ],
    fp:= [ 24, 34 ],
    next:= [ 99, 100 ] ), 11, rec(
    desc:= [ 120107 ],
    fp:= [ 144, 154, 9658 ],
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 326, 351 ] ), 325, 350 ] ), 105, rec(
    desc:= [ 117017 ],
    fp:= [ 144, 154, 9658 ],
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 310, 339 ] ), 309, 338 ] ), rec(
    desc:= [ 105002 ],
    fp:= [ 16, 412 ],
    next:= [ 491, 497 ] ), rec(
    desc:= [ 114008 ],
    fp:= [ 24, 34 ],
    next:= [ 98, 97 ] ) ] );