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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  id768.bce              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[768].next[2].next[83]:=
rec(
  fp:= [ 1672, 3170, 5924, 6154, 6625, 9479, 12233, 14691, 17273, 23228, 
23253, 23582, 24453, 26336, 31376, 32977, 34130, 34602, 36246, 37356, 37685, 
38365, 40439, 43193, 44783, 46902, 47234, 48027, 48705, 51459, 51788, 53320, 
54542, 60522, 62808, 65562, 68316, 70015, 71399, 74625, 75723, 76911, 77379, 
78539, 79665, 84260, 88728, 92464, 92796, 92797, 96522 ],
  level:= 4,
  next:= [ rec(
    desc:= [ 107003 ],
    fp:= [ 4, 14, 212 ],
    next:= [ rec(
      desc:= [ 106003, 302007, 210002 ],
      fp:= [ 4, 14 ],
      next:= [ 1090108, 1090129 ] ), 1090128, 1090130 ] ), rec(
    fp:= [ 32642, 48439, 51197, 64290, 68435 ],
    next:= [ 1085776, 1090088, 1090103, 1090080, rec(
      desc:= [ 108003 ],
      fp:= [ 2, 12 ],
      next:= [ 1085630, 1085619 ] ) ] ), rec(
    fp:= [ 9680, 72096 ],
    next:= [ rec(
      desc:= [ 110003 ],
      fp:= [ 14, 212 ],
      next:= [ 1086014, 1086013 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 2, 12 ],
      next:= [ 1086008, 1086016 ] ) ] ), 1090116, 1090097, 1086023, rec(
    desc:= [ 214008 ],
    fp:= [ 2, 12 ],
    next:= [ 1090089, 1090090 ] ), rec(
    desc:= [ 210002, 210003, 304010, 40104006 ],
    fp:= [ 1, 1921 ],
    next:= [ 1086028, 1086026 ] ), rec(
    desc:= [ 109003 ],
    fp:= [ 4, 14, 212 ],
    next:= [ rec(
      desc:= [ 302008, 212002 ],
      fp:= [ 2, 12 ],
      next:= [ 1090126, 1090105 ] ), 1090125, 1090127 ] ), rec(
    fp:= [ 20395, 21374, 91651 ],
    next:= [ 1090113, 1085633, 1090119 ] ), 1090081, 1085777, 1090100, rec(
    fp:= [ 31851, 83268 ],
    next:= [ 1090083, 1085625 ] ), rec(
    fp:= [ 17403, 34641, 63633 ],
    next:= [ rec(
      desc:= [ 110003 ],
      fp:= [ 8, 18, 414 ],
      next:= [ rec(
        desc:= [ 302006, 210002 ],
        fp:= [ 4, 212 ],
        next:= [ 1090102, 1090123 ] ), 1090122, 1090124 ] ), rec(
      desc:= [ 110007 ],
      fp:= [ 8, 18, 414 ],
      next:= [ rec(
        desc:= [ 302008 ],
        fp:= [ 582, 1161 ],
        next:= [ 1085652, rec(
          desc:= [ 206002 ],
          fp:= [ 2, 12 ],
          next:= [ 1085651, 1085650 ] ) ] ), 1085631, 1085623 ] ), 
1085807 ] ), rec(
    desc:= [ 109003 ],
    fp:= [ 15, 213 ],
    next:= [ 1086009, 1086015 ] ), rec(
    desc:= [ 108003 ],
    fp:= [ 4, 14, 212 ],
    next:= [ rec(
      desc:= [ 109003 ],
      fp:= [ 15, 213 ],
      next:= [ 1086018, 1086033 ] ), 1086031, rec(
      desc:= [ 302008 ],
      fp:= [ 3, 681 ],
      next:= [ rec(
        desc:= [ 112003 ],
        fp:= [ 2, 12 ],
        next:= [ 1086032, 1086017 ] ), rec(
        desc:= [ 111003 ],
        fp:= [ 15, 213 ],
        next:= [ 1086010, 1086034 ] ) ] ) ] ), 1086025, 1090118, rec(
    desc:= [ 213007 ],
    fp:= [ 2, 12 ],
    next:= [ 1090091, 1090092 ] ), 1086027, 1090082, rec(
    desc:= [ 213007 ],
    fp:= [ 2, 12 ],
    next:= [ 1090093, 1090094 ] ), 1086019, 1086030, rec(
    fp:= [ 8676, 23103, 68852 ],
    next:= [ 1085622, 1090079, 1085793 ] ), 1090109, 1090099, 1085774, rec(
    fp:= [ 68576, 81332 ],
    next:= [ 1090085, 1085626 ] ), 1085809, rec(
    fp:= [ 44547, 46188, 49489 ],
    next:= [ 1090115, 1085634, 1090121 ] ), rec(
    fp:= [ 16258, 99111 ],
    next:= [ 1085627, 1090087 ] ), 1090104, 1086029, rec(
    desc:= [ 212006 ],
    fp:= [ 2, 12 ],
    next:= [ 1090095, 1090096 ] ), 1086020, 1090098, 1086021, rec(
    fp:= [ 6126, 55148, 56463, 72386 ],
    next:= [ 1090084, 1090101, 1090076, 1085629 ] ), 1090117, 1085798, 
1086012, rec(
    fp:= [ 12434, 60914 ],
    next:= [ 1086011, 1086007 ] ), 1085628, 1086024, 1090106, rec(
    fp:= [ 10043, 12708, 63905, 89454 ],
    next:= [ 1090075, 1090086, 1085772, 1085618 ] ), 1090107, rec(
    fp:= [ 31306, 60690, 65216 ],
    next:= [ 1090120, 1085632, 1090114 ] ), 1086022 ] );