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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  id11466.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[11466]:=
rec(
  fp:= [ 36, 3640, 13205, 19344, 20644, 27359, 28070, 29590, 37174, 38200, 
53435, 55114, 56911, 58775, 59691, 60072, 61681, 67080, 74192, 85791, 91496 ],
  next:= [ 201, 199, rec(
    fp:= [ 18995, 59437 ],
    level:= 4,
    next:= [ 54, 124 ] ), rec(
    fp:= [ 17074, 28722, 31804, 37067, 41830, 67449, 74464, 75864, 79097 ],
    level:= 4,
    next:= [ 133, 139, 140, rec(
      desc:= [ 119003 ],
      fp:= [ 84, 7222 ],
      next:= [ 131, 132 ] ), rec(
      desc:= [ 119009 ],
      fp:= [ 192, 16834 ],
      next:= [ 137, 138 ] ), rec(
      desc:= [ 117009 ],
      fp:= [ 96, 8422 ],
      next:= [ 129, 130 ] ), 141, 207, rec(
      desc:= [ 118004 ],
      fp:= [ 96, 8422 ],
      next:= [ 136, 135 ] ) ] ), rec(
    fp:= [ 4188, 27715, 33180, 36608, 63630, 65779 ],
    level:= 4,
    next:= [ 125, 61, 60, rec(
      desc:= [ 115009 ],
      fp:= [ 24, 34 ],
      next:= [ 58, 57 ] ), rec(
      desc:= [ 114004 ],
      fp:= [ 32, 2022 ],
      next:= [ 55, 56 ] ), 59 ] ), 202, rec(
    fp:= [ 11050, 35598, 75324 ],
    level:= 4,
    next:= [ 128, 134, 208 ] ), 204, rec(
    fp:= [ 17807, 19757, 27621, 31598, 33340, 42351, 61685, 77996, 78749, 
79738, 80884, 86411, 94320 ],
    level:= 4,
    next:= [ 62, rec(
      desc:= [ 120003 ],
      fp:= [ 84, 7222 ],
      next:= [ 75, 76 ] ), 77, rec(
      desc:= [ 119004 ],
      fp:= [ 96, 8422 ],
      next:= [ 79, 78 ] ), 3, 81, 82, rec(
      desc:= [ 115009 ],
      fp:= [ 96, 8422 ],
      next:= [ 73, 74 ] ), 2, 1, 80, 213, rec(
      desc:= [ 121009 ],
      fp:= [ 192, 16834 ],
      next:= [ 192, 193 ] ) ] ), 189, rec(
    fp:= [ 28535, 44433, 88493 ],
    level:= 4,
    next:= [ 198, 71, 215 ] ), rec(
    fp:= [ 924, 4351, 13190, 29811, 52198, 60086, 75487, 77677, 89399 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 93, 99 ] ), 65, 105, 20, 116, rec(
      desc:= [ 106002 ],
      fp:= [ 18, 612 ],
      next:= [ 83, 89 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 197, 191 ] ), 212, 8 ] ), rec(
    fp:= [ 9686, 27277, 50696, 55459, 62451, 89234 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 142, 148 ] ), 206, rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 152, 158 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 170, 176 ] ), 164, 180 ] ), rec(
    fp:= [ 15544, 25833, 50931 ],
    level:= 4,
    next:= [ 214, 194, 72 ] ), 210, 188, rec(
    fp:= [ 7079, 17860, 19533, 19897, 33075, 34196, 39087, 44858, 51905, 
54110, 74826, 80823, 82933, 89093, 92484, 93692, 95229, 98297 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 113009 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 153, 154, rec(
        desc:= [ 113004 ],
        fp:= [ 84, 7222 ],
        next:= [ 159, 160 ] ) ] ), rec(
      desc:= [ 117009 ],
      fp:= [ 24, 34 ],
      next:= [ 183, 184 ] ), rec(
      desc:= [ 116004 ],
      fp:= [ 96, 8422 ],
      next:= [ 182, 181 ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 157, 163 ] ), rec(
      desc:= [ 114009 ],
      fp:= [ 96, 8422 ],
      next:= [ 165, 166 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 145, 146, 150 ] ), rec(
      desc:= [ 112004 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 172, 171, 177 ] ), rec(
      desc:= [ 115003 ],
      fp:= [ 96, 8422 ],
      next:= [ 167, 168 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 175, 179 ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 84, 94, 7222 ],
      next:= [ rec(
        desc:= [ 108002 ],
        fp:= [ 17, 611 ],
        next:= [ 155, 161 ] ), 156, 162 ] ), rec(
      desc:= [ 111009 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 143, 144, 149 ] ), 185, rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 147, 151 ] ), 187, rec(
      desc:= [ 113009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 173, 174, 178 ] ), 169, 205, 186 ] ), 203, rec(
    fp:= [ 8029, 10749, 18264, 25134, 27621, 27738, 30990, 35845, 37619, 
38759, 38919, 39361, 41414, 42839, 44446, 46529, 46604, 47128, 47749, 48141, 
51209, 52101, 53601, 55520, 56510, 61061, 62762, 62780, 63626, 68826, 69406, 
73656, 74019, 76121, 80053, 80255, 81466, 81608, 85648, 86905, 87812, 91244, 
91369, 91938 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 109002 ],
      fp:= [ 26, 1214 ],
      next:= [ 63, 64 ] ), rec(
      desc:= [ 116004 ],
      fp:= [ 42, 2418 ],
      next:= [ 50, rec(
        desc:= [ 116009 ],
        fp:= [ 24, 34 ],
        next:= [ 48, 49 ] ) ] ), rec(
      fp:= [ 69227, 85960 ],
      next:= [ rec(
        desc:= [ 117004 ],
        fp:= [ 12, 22 ],
        next:= [ 22, 21 ] ), rec(
        desc:= [ 117009 ],
        fp:= [ 12, 22 ],
        next:= [ 23, 24 ] ) ] ), rec(
      desc:= [ 119009 ],
      fp:= [ 24, 34 ],
      next:= [ 29, 30 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 26, 1214 ],
      next:= [ 113, 115 ] ), rec(
      desc:= [ 110009 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 84, 85, 90 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 96, 8422 ],
      next:= [ 109, 108 ] ), rec(
      desc:= [ 106002 ],
      fp:= [ 18, 612 ],
      next:= [ 88, 92 ] ), rec(
      desc:= [ 118004 ],
      fp:= [ 96, 8422 ],
      next:= [ 117, 118 ] ), rec(
      desc:= [ 121016 ],
      fp:= [ 38, 2414 ],
      next:= [ 34, rec(
        desc:= [ 121009 ],
        fp:= [ 24, 34 ],
        next:= [ rec(
          fp:= [ 246920270069731887373794283433025262316374839220456151, 
248872208946632100605769505823282263809283203169209047 ],
          func:= 11,
          next:= [ 36, 35 ],
          pos:= [ 15, 18 ] ), 33 ] ) ] ), 19, 52, rec(
      desc:= [ 113004 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 112, 111, 114 ] ), 51, rec(
      desc:= [ 112009 ],
      fp:= [ 42, 2418 ],
      next:= [ 12, rec(
        desc:= [ 112012 ],
        fp:= [ 24, 34 ],
        next:= [ 13, 11 ] ) ] ), rec(
      desc:= [ 113009 ],
      fp:= [ 12, 22 ],
      next:= [ 9, 10 ] ), 110, rec(
      desc:= [ 107002 ],
      fp:= [ 18, 612 ],
      next:= [ 4, 6 ] ), rec(
      desc:= [ 121009 ],
      fp:= [ 24, 34 ],
      next:= [ 66, 67 ] ), 211, 122, rec(
      desc:= [ 117009 ],
      fp:= [ 42, 2418 ],
      next:= [ 27, rec(
        desc:= [ 117016 ],
        fp:= [ 24, 34 ],
        next:= [ rec(
          fp:= [ 246920270069731922944390130337902967781488282576308951, 
248872208946632136176365352728159969274396646525061847 ],
          func:= 11,
          next:= [ 26, 25 ],
          pos:= [ 14, 16 ] ), 28 ] ) ] ), 53, 43, rec(
      desc:= [ 115009 ],
      fp:= [ 192, 202, 16834 ],
      next:= [ 195, 196, 190 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 86, 87, 91 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 12, 22 ],
      next:= [ 14, 15 ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 17, 611 ],
      next:= [ 38, 40 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 17, 611 ],
      next:= [ 39, 41 ] ), rec(
      desc:= [ 117004 ],
      fp:= [ 12, 22 ],
      next:= [ 47, 46 ] ), 123, 42, rec(
      desc:= [ 108002 ],
      fp:= [ 17, 611 ],
      next:= [ 98, 104 ] ), rec(
      desc:= [ 120009 ],
      fp:= [ 24, 34 ],
      next:= [ 120, 119 ] ), rec(
      desc:= [ 115003 ],
      fp:= [ 42, 2418 ],
      next:= [ 17, rec(
        desc:= [ 115016 ],
        fp:= [ 24, 34 ],
        next:= [ 16, 18 ] ) ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 26, 1214 ],
      next:= [ 44, 45 ] ), rec(
      desc:= [ 119009 ],
      fp:= [ 74, 4826 ],
      next:= [ 69, rec(
        desc:= [ 119016 ],
        fp:= [ 48, 58 ],
        next:= [ 68, 70 ] ) ] ), rec(
      desc:= [ 118009 ],
      fp:= [ 84, 94, 7222 ],
      next:= [ rec(
        desc:= [ 108002 ],
        fp:= [ 17, 611 ],
        next:= [ 96, 102 ] ), 97, 103 ] ), rec(
      desc:= [ 113009 ],
      fp:= [ 96, 8422 ],
      next:= [ 107, 106 ] ), 121, rec(
      desc:= [ 115009 ],
      fp:= [ 96, 106, 8422 ],
      next:= [ 94, 95, rec(
        desc:= [ 115004 ],
        fp:= [ 84, 7222 ],
        next:= [ 100, 101 ] ) ] ), rec(
      desc:= [ 108002 ],
      fp:= [ 18, 612 ],
      next:= [ 5, 7 ] ), rec(
      desc:= [ 120003 ],
      fp:= [ 12, 22 ],
      next:= [ 31, 32 ] ), 37 ] ), rec(
    fp:= [ 28718, 36331, 91932 ],
    level:= 4,
    next:= [ 127, 209, 126 ] ), 200 ] );