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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  id14196.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[14196]:=
rec(
  fp:= [ 6646, 12077, 15466, 30677, 33678, 34066, 34161, 34594, 35942, 38843, 
40601, 40839, 42382, 44668, 46961, 47436, 60694, 63826, 67134, 67834, 68001, 
71390, 72733, 73999, 77388, 78368, 82222, 82305, 88745, 92674, 99087 ],
  next:= [ rec(
    desc:= [ 110009 ],
    fp:= [ 336, 31234 ],
    next:= [ 266, 267 ] ), rec(
    fp:= [ 7960, 9621, 14953, 31547, 35484, 40056, 56415, 65663, 71096, 
80761, 94184, 96645, 99617 ],
    level:= 4,
    next:= [ 291, rec(
      desc:= [ 117004 ],
      fp:= [ 156, 14422 ],
      next:= [ 201, 200 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 168, 15622 ],
      next:= [ 182, 183 ] ), 232, rec(
      desc:= [ 113009 ],
      fp:= [ 336, 31234 ],
      next:= [ 276, 277 ] ), 216, 139, 47, 184, 202, rec(
      desc:= [ 118003 ],
      fp:= [ 78, 7216 ],
      next:= [ 44, 45 ] ), 215, rec(
      desc:= [ 115009 ],
      fp:= [ 168, 15622 ],
      next:= [ 180, 181 ] ) ] ), rec(
    fp:= [ 34329, 35970, 50592, 57871, 60299, 69738 ],
    level:= 4,
    next:= [ 231, rec(
      desc:= [ 117002 ],
      fp:= [ 78, 7216 ],
      next:= [ 103, 102 ] ), 46, 138, 104, rec(
      desc:= [ 116004 ],
      fp:= [ 78, 7216 ],
      next:= [ 43, 42 ] ) ] ), rec(
    fp:= [ 1276, 8393, 12739, 16608, 57720, 61271, 64489, 68636, 68742, 
75465, 75829, 80447, 97670 ],
    level:= 4,
    next:= [ 170, 38, rec(
      desc:= [ 106003 ],
      fp:= [ 66, 4818 ],
      next:= [ 283, 281 ] ), 15, 5, rec(
      desc:= [ 108003 ],
      fp:= [ 12, 22 ],
      next:= [ 36, 35 ] ), 176, rec(
      desc:= [ 108003 ],
      fp:= [ 36, 2412 ],
      next:= [ 174, 175 ] ), 19, 293, 177, 230, rec(
      desc:= [ 107003 ],
      fp:= [ 38, 2414 ],
      next:= [ 172, 173 ] ) ] ), rec(
    fp:= [ 3438, 22744, 82568 ],
    level:= 4,
    next:= [ 280, 292, 179 ] ), rec(
    fp:= [ 3297, 17663, 17811, 30632, 32555, 43976, 60465, 63967, 74018, 
81864, 89697 ],
    level:= 4,
    next:= [ 34, 39, 3, rec(
      desc:= [ 109005 ],
      fp:= [ 23, 1211 ],
      next:= [ 30, 31 ] ), 7, rec(
      desc:= [ 109003 ],
      fp:= [ 23, 1211 ],
      next:= [ 28, 29 ] ), 229, rec(
      desc:= [ 108002 ],
      fp:= [ 24, 1212 ],
      next:= [ 24, rec(
        desc:= [ 115022 ],
        fp:= [ 94, 7222 ],
        next:= [ 26, rec(
          desc:= [ 108005 ],
          fp:= [ 12, 22 ],
          next:= [ 27, 25 ] ) ] ) ] ), rec(
      desc:= [ 109003 ],
      fp:= [ 23, 1211 ],
      next:= [ 32, 33 ] ), 37, rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 227, 228 ] ) ] ), rec(
    fp:= [ 9054, 17552, 21181, 40250, 48566, 49904, 84947, 85125, 91351, 
93106 ],
    level:= 4,
    next:= [ 253, 261, 262, 263, 260, 284, 264, 252, 254, 259 ] ), 289, rec(
    fp:= [ 11681, 11952, 16617, 35475, 83141 ],
    level:= 4,
    next:= [ 256, 257, 248, 285, 258 ] ), rec(
    fp:= [ 30290, 35101, 55657, 64023 ],
    level:= 4,
    next:= [ 18, 4, 1, 6 ] ), rec(
    fp:= [ 63027, 85747 ],
    level:= 4,
    next:= [ 251, rec(
      desc:= [ 107005 ],
      fp:= [ 52, 3616 ],
      next:= [ 249, 250 ] ) ] ), rec(
    desc:= [ 108009 ],
    fp:= [ 336, 346, 31234 ],
    next:= [ 269, 268, 265 ] ), 247, rec(
    fp:= [ 65030, 77479 ],
    level:= 4,
    next:= [ 286, 255 ] ), 41, 270, rec(
    fp:= [ 75757, 77928 ],
    level:= 4,
    next:= [ 288, 240 ] ), rec(
    fp:= [ 4359, 91246 ],
    level:= 4,
    next:= [ 169, 13 ] ), 239, 272, rec(
    fp:= [ 434, 1570, 4114, 8425, 9767, 15090, 18210, 21621, 21773, 22994, 
24056, 24760, 27720, 28577, 34494, 35030, 38479, 39587, 39833, 40348, 41985, 
45781, 46137, 50142, 53319, 55446, 64508, 65620, 65745, 66994, 70746, 73727, 
78358, 79122, 84407, 85020, 86749, 88824, 89350, 90745, 91176, 91426, 92212, 
98906 ],
    level:= 4,
    next:= [ 99, rec(
      desc:= [ 110003 ],
      fp:= [ 12, 22 ],
      next:= [ 155, 153 ] ), 221, rec(
      desc:= [ 108003 ],
      fp:= [ 38, 2414 ],
      next:= [ 217, 218 ] ), rec(
      desc:= [ 111003 ],
      fp:= [ 84, 94, 7816 ],
      next:= [ 68, 69, 70 ] ), 290, rec(
      desc:= [ 116004 ],
      fp:= [ 168, 15622 ],
      next:= [ 211, 210 ] ), 199, rec(
      desc:= [ 109003 ],
      fp:= [ 38, 2414 ],
      next:= [ 151, 152 ] ), 160, 137, rec(
      desc:= [ 111004 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 204, 203, 205 ] ), 237, rec(
      desc:= [ 116003 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 36, 2412 ],
        next:= [ 80, 82 ] ), 81, 83 ] ), 238, rec(
      fp:= [ 19666, 99071 ],
      next:= [ rec(
        desc:= [ 117009 ],
        fp:= [ 12, 22 ],
        next:= [ 86, 87 ] ), rec(
        desc:= [ 118003 ],
        fp:= [ 78, 7216 ],
        next:= [ 84, 85 ] ) ] ), rec(
      desc:= [ 109003 ],
      fp:= [ 36, 2412 ],
      next:= [ 219, 220 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 84, 7816 ],
      next:= [ 90, 91 ] ), rec(
      desc:= [ 111003 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 194, 195, 196 ] ), rec(
      desc:= [ 120003 ],
      fp:= [ 12, 22 ],
      next:= [ 97, 98 ] ), 162, rec(
      desc:= [ 118003 ],
      fp:= [ 168, 15622 ],
      next:= [ 197, 198 ] ), rec(
      desc:= [ 109003 ],
      fp:= [ 12, 22 ],
      next:= [ 156, 154 ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 168, 15622 ],
      next:= [ 192, 193 ] ), 161, rec(
      desc:= [ 119009 ],
      fp:= [ 24, 34 ],
      next:= [ 212, 213 ] ), rec(
      desc:= [ 110009 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 185, 186, 187 ] ), rec(
      desc:= [ 109009 ],
      fp:= [ 336, 346, 31234 ],
      next:= [ 279, 278, 275 ] ), 224, 163, rec(
      desc:= [ 112004 ],
      fp:= [ 24, 34, 1222 ],
      next:= [ 126, 125, 127 ] ), rec(
      desc:= [ 117004 ],
      fp:= [ 24, 1222 ],
      next:= [ 131, 130 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 84, 7816 ],
      next:= [ 88, 89 ] ), rec(
      desc:= [ 108003 ],
      fp:= [ 66, 4818 ],
      next:= [ 222, 223 ] ), rec(
      desc:= [ 111003 ],
      fp:= [ 84, 7222, 7816 ],
      next:= [ 73, 74, 77 ] ), 100, rec(
      desc:= [ 110003 ],
      fp:= [ 36, 2412 ],
      next:= [ 158, 159 ] ), 101, 214, rec(
      desc:= [ 114009 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 12, 22 ],
        next:= [ 75, 71 ] ), 72, 76 ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 156, 166, 14422 ],
      next:= [ rec(
        desc:= [ 108003 ],
        fp:= [ 36, 2412 ],
        next:= [ 206, 208 ] ), 207, 209 ] ), rec(
      desc:= [ 113009 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 188, 189, rec(
        desc:= [ 113017 ],
        fp:= [ 156, 14422 ],
        next:= [ 191, 190 ] ) ] ), 165, 236 ] ), rec(
    fp:= [ 1662, 4929, 7010, 9882, 14062, 14228, 15409, 18512, 19228, 28814, 
32096, 34784, 43919, 43977, 45936, 50282, 50373, 50571, 54387, 56790, 67647, 
69312, 83543, 84303, 84452, 88148, 88746 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 108002 ],
      fp:= [ 24, 1212 ],
      next:= [ 140, rec(
        desc:= [ 113022 ],
        fp:= [ 94, 7222 ],
        next:= [ 142, rec(
          desc:= [ 108005 ],
          fp:= [ 12, 22 ],
          next:= [ 143, 141 ] ) ] ) ] ), rec(
      desc:= [ 115003 ],
      fp:= [ 12, 22 ],
      next:= [ 94, 95 ] ), rec(
      desc:= [ 116002 ],
      fp:= [ 78, 7216 ],
      next:= [ 124, 123 ] ), rec(
      desc:= [ 115004 ],
      fp:= [ 12, 22 ],
      next:= [ 129, 128 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 84, 94, 7222, 7816 ],
      next:= [ rec(
        desc:= [ 108002 ],
        fp:= [ 24, 1212 ],
        next:= [ 106, 109 ] ), 105, 108, rec(
        desc:= [ 108005 ],
        fp:= [ 24, 1212 ],
        next:= [ 107, 110 ] ) ] ), rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 92, 93 ] ), 150, 136, rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 132, 133 ] ), 157, rec(
      desc:= [ 114009 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 23, 1211 ],
        next:= [ 62, 64 ] ), 63, 65 ] ), rec(
      desc:= [ 112004 ],
      fp:= [ 84, 7816 ],
      next:= [ rec(
        desc:= [ 109005 ],
        fp:= [ 23, 1211 ],
        next:= [ 59, 61 ] ), rec(
        desc:= [ 109005 ],
        fp:= [ 23, 1211 ],
        next:= [ 58, 60 ] ) ] ), rec(
      desc:= [ 115009 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 23, 1211 ],
        next:= [ 119, 121 ] ), 120, 122 ] ), 235, rec(
      desc:= [ 109005 ],
      fp:= [ 23, 1211 ],
      next:= [ 146, 147 ] ), rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 233, 234 ] ), rec(
      desc:= [ 110019 ],
      fp:= [ 84, 94, 7222, 7816 ],
      next:= [ rec(
        desc:= [ 108002 ],
        fp:= [ 24, 1212 ],
        next:= [ 48, 51 ] ), 49, 52, rec(
        desc:= [ 108005 ],
        fp:= [ 24, 1212 ],
        next:= [ 50, 53 ] ) ] ), rec(
      desc:= [ 113002 ],
      fp:= [ 84, 7816 ],
      next:= [ rec(
        desc:= [ 109005 ],
        fp:= [ 23, 1211 ],
        next:= [ 116, 118 ] ), rec(
        desc:= [ 109005 ],
        fp:= [ 23, 1211 ],
        next:= [ 115, 117 ] ) ] ), rec(
      desc:= [ 109003 ],
      fp:= [ 23, 1211 ],
      next:= [ 144, 145 ] ), rec(
      desc:= [ 114009 ],
      fp:= [ 12, 22 ],
      next:= [ 78, 79 ] ), rec(
      desc:= [ 114009 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 23, 1211 ],
        next:= [ 111, 113 ] ), 112, 114 ] ), rec(
      desc:= [ 113009 ],
      fp:= [ 78, 88, 7216 ],
      next:= [ rec(
        desc:= [ 109003 ],
        fp:= [ 23, 1211 ],
        next:= [ 54, 56 ] ), 55, 57 ] ), rec(
      desc:= [ 109003 ],
      fp:= [ 23, 1211 ],
      next:= [ 148, 149 ] ), rec(
      desc:= [ 115004 ],
      fp:= [ 78, 7216 ],
      next:= [ 67, 66 ] ), 164, 96, rec(
      desc:= [ 116009 ],
      fp:= [ 24, 34 ],
      next:= [ 134, 135 ] ) ] ), rec(
    fp:= [ 30297, 72815 ],
    level:= 4,
    next:= [ 2, 8 ] ), rec(
    fp:= [ 42063, 53039, 65934 ],
    level:= 4,
    next:= [ 171, 294, 282 ] ), rec(
    fp:= [ 53991, 95433 ],
    level:= 4,
    next:= [ 226, 23 ] ), 274, rec(
    fp:= [ 92164, 99529 ],
    level:= 4,
    next:= [ 40, 178 ] ), rec(
    fp:= [ 1594, 20975, 33940, 41737, 49059, 74942, 93595 ],
    level:= 4,
    next:= [ 246, 14, 244, 287, 21, 245, 22 ] ), rec(
    fp:= [ 14927, 37466, 42377 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 107005 ],
      fp:= [ 52, 3616 ],
      next:= [ 241, 242 ] ), 243, 12 ] ), rec(
    fp:= [ 73602, 79991, 91613 ],
    level:= 4,
    next:= [ 17, rec(
      desc:= [ 105003 ],
      fp:= [ 66, 4818 ],
      next:= [ 273, 271 ] ), 16 ] ), rec(
    fp:= [ 21257, 32578, 35695, 39512, 73606, 82812, 82902, 94994 ],
    level:= 4,
    next:= [ 166, 10, 20, 167, 225, 9, 168, 11 ] ) ] );