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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  id26100.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[26100]:=
rec(
  fp:= [ 493, 512, 1904, 2442, 3450, 3908, 4098, 6072, 6454, 7204, 14186, 
20029, 20082, 21187, 26553, 27190, 30606, 31366, 32589, 33127, 36450, 40128, 
41173, 41729, 42029, 44189, 51352, 51644, 53423, 62168, 64175, 68176, 73409, 
77774, 81751, 82082, 87508, 88298, 89536, 90184, 92606, 93861, 98032 ],
  next:= [ 6, 200, rec(
    fp:= [ 1064, 3468, 36110, 42974, 50932, 51133, 92513, 96162, 97972, 
99060 ],
    level:= 4,
    next:= [ 23, 22, 38, 21, 53, 39, 42, 40, 43, 19 ] ), rec(
    fp:= [ 21219, 42049, 57095 ],
    level:= 4,
    next:= [ 32, 18, 31 ] ), 203, 207, rec(
    fp:= [ 7927, 31211, 56212, 56577, 78368, 97069, 99021 ],
    level:= 4,
    next:= [ 95, 5, 92, 49, 206, 93, 45 ] ), rec(
    fp:= [ 43606, 82091 ],
    level:= 4,
    next:= [ 46, 13 ] ), rec(
    fp:= [ 23491, 30588, 82374 ],
    level:= 4,
    next:= [ 81, 86, rec(
      desc:= [ 117012 ],
      fp:= [ 168, 14038 ],
      next:= [ 84, 85 ] ) ] ), rec(
    fp:= [ 3479, 28456, 51152, 58331, 72723, 75776, 77441, 78308, 88640, 
89645 ],
    level:= 4,
    next:= [ 148, 170, 147, 145, 216, 166, 144, 143, 168, 169 ] ), rec(
    fp:= [ 47677, 87192, 95078 ],
    level:= 4,
    next:= [ 59, 62, 171 ] ), rec(
    fp:= [ 9086, 34575 ],
    level:= 4,
    next:= [ 204, 82 ] ), 111, rec(
    fp:= [ 10874, 19937, 33899, 38758, 48778, 54904, 69136, 71469 ],
    level:= 4,
    next:= [ 160, 152, 188, 183, 156, 217, 179, 149 ] ), rec(
    fp:= [ 9907, 48056, 99271 ],
    level:= 4,
    next:= [ 87, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 96, 100 ] ), 9 ] ), rec(
    fp:= [ 19729, 21720, 41466, 48583, 52648, 55142, 91839 ],
    level:= 4,
    next:= [ 174, 60, 61, rec(
      desc:= [ 115012 ],
      fp:= [ 168, 14038 ],
      next:= [ 172, 173 ] ), 165, 65, rec(
      desc:= [ 112012 ],
      fp:= [ 168, 14038 ],
      next:= [ 63, 64 ] ) ] ), rec(
    fp:= [ 8809, 65397 ],
    level:= 4,
    next:= [ 107, 209 ] ), rec(
    fp:= [ 79029, 94877 ],
    level:= 4,
    next:= [ 213, 139 ] ), rec(
    fp:= [ 36607, 57645, 61382, 82013 ],
    level:= 4,
    next:= [ 52, 41, 37, 20 ] ), 30, rec(
    fp:= [ 9105, 66008, 80512 ],
    level:= 4,
    next:= [ 2, 8, 7 ] ), rec(
    fp:= [ 42979, 71128, 92919, 93819 ],
    level:= 4,
    next:= [ 91, 48, 205, 201 ] ), rec(
    fp:= [ 9835, 18401, 72755, 89375, 98885 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 192, 196 ] ), rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 73, 77 ] ), 66, 175, 70 ] ), rec(
    fp:= [ 56773, 96725 ],
    level:= 4,
    next:= [ 44, 199 ] ), rec(
    fp:= [ 20338, 42157, 63379, 77950 ],
    level:= 4,
    next:= [ 15, 14, 3, 47 ] ), rec(
    fp:= [ 8093, 12145, 14708, 18585, 30168, 30560, 33361, 34103, 38403, 
38479, 40054, 56761, 59737, 68048, 75387, 79002, 80846, 88385, 94326, 
95704 ],
    level:= 4,
    next:= [ 157, 161, 154, 189, 190, 150, 182, 162, 218, 151, 158, 187, 
155, 180, 184, 181, 185, 191, 153, 159 ] ), 56, 103, rec(
    fp:= [ 24390, 79587, 86896, 92351 ],
    level:= 4,
    next:= [ 141, 214, 164, 140 ] ), rec(
    fp:= [ 20274, 21302 ],
    level:= 4,
    next:= [ 104, 208 ] ), rec(
    fp:= [ 4093, 14684, 18016, 25448, 37441, 44190, 61489, 71173, 83119, 
92755, 97840 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 195, 198 ] ), 72, rec(
      desc:= [ 114012 ],
      fp:= [ 168, 14038 ],
      next:= [ 176, 177 ] ), rec(
      desc:= [ 110012 ],
      fp:= [ 168, 178, 14038 ],
      next:= [ 193, 194, 197 ] ), 178, 69, 71, rec(
      desc:= [ 109012 ],
      fp:= [ 168, 178, 14038 ],
      next:= [ 74, 75, 78 ] ), rec(
      desc:= [ 111012 ],
      fp:= [ 168, 14038 ],
      next:= [ 67, 68 ] ), rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 76, 79 ] ), 186 ] ), 80, rec(
    fp:= [ 889, 56923, 81084 ],
    level:= 4,
    next:= [ 58, 163, 57 ] ), rec(
    fp:= [ 3085, 40867, 92082 ],
    level:= 4,
    next:= [ 115, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 132, 136 ] ), 33 ] ), 202, rec(
    fp:= [ 22111, 28580, 69358 ],
    level:= 4,
    next:= [ 114, rec(
      desc:= [ 121012 ],
      fp:= [ 168, 14038 ],
      next:= [ 112, 113 ] ), 105 ] ), rec(
    fp:= [ 17475, 39619, 66008, 70690, 72149, 74290, 80512, 90627, 94692 ],
    level:= 4,
    next:= [ 118, rec(
      desc:= [ 113012 ],
      fp:= [ 168, 178, 14038 ],
      next:= [ 133, 134, 137 ] ), 36, 24, 16, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 135, 138 ] ), rec(
      desc:= [ 115012 ],
      fp:= [ 56, 66 ],
      next:= [ 34, 35 ] ), rec(
      desc:= [ 117012 ],
      fp:= [ 168, 14038 ],
      next:= [ 116, 117 ] ), 126 ] ), rec(
    fp:= [ 17955, 24603, 36709, 40646, 58500, 77971, 78513 ],
    level:= 4,
    next:= [ 128, 119, 54, 123, 211, 50, 26 ] ), 83, rec(
    fp:= [ 23921, 31166, 39448, 75237, 82689, 93114, 93449, 95174, 99239 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 113012 ],
      fp:= [ 56, 66 ],
      next:= [ 10, 11 ] ), 12, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 99, 102 ] ), 4, rec(
      desc:= [ 111012 ],
      fp:= [ 168, 178, 14038 ],
      next:= [ 97, 98, 101 ] ), 1, 90, rec(
      desc:= [ 115012 ],
      fp:= [ 168, 14038 ],
      next:= [ 88, 89 ] ), 94 ] ), rec(
    fp:= [ 80, 23176, 76343, 78736, 96320 ],
    level:= 4,
    next:= [ 210, 108, 110, 106, 109 ] ), rec(
    fp:= [ 4143, 31368, 33701, 58398 ],
    level:= 4,
    next:= [ 142, 167, 146, 215 ] ), rec(
    fp:= [ 712, 12677, 41752, 55065, 56735, 59171, 59555, 71501, 77906, 
80000, 80019, 83574, 85229, 85416, 86727, 90375, 93292 ],
    level:= 4,
    next:= [ 125, 121, 129, 28, 127, 120, 17, 55, 130, 29, 25, 124, 51, 131, 
122, 27, 212 ] ) ] );