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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  id21420.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[21420]:=
rec(
  fp:= [ 357, 4503, 4742, 13821, 14482, 14763, 15150, 16682, 18983, 19518, 
21313, 25582, 26542, 28021, 30824, 31064, 33571, 33683, 38498, 44225, 44857, 
44949, 45362, 45617, 45820, 49454, 50199, 52315, 58202, 59997, 61531, 63654, 
63721, 64038, 67854, 69316, 73697, 73936, 79960, 80995, 82909, 83541, 98321, 
99354, 99475 ],
  next:= [ rec(
    fp:= [ 56390, 76818, 96015 ],
    level:= 4,
    next:= [ 199, 82, 90 ] ), rec(
    fp:= [ 39745, 51828, 74204, 94057 ],
    level:= 4,
    next:= [ 192, 156, 250, 157 ] ), rec(
    fp:= [ 22847, 47993, 83155, 91717 ],
    level:= 4,
    next:= [ 195, 162, 158, 251 ] ), rec(
    fp:= [ 74322, 91047 ],
    level:= 4,
    next:= [ 238, 108 ] ), rec(
    fp:= [ 31213, 57693, 61545 ],
    level:= 4,
    next:= [ 203, 93, 86 ] ), 231, 76, 234, 115, rec(
    fp:= [ 7344, 17027, 17498, 19110, 23424, 32969, 34155, 46757, 54396, 
54643, 78305, 82493 ],
    level:= 4,
    next:= [ 247, 72, 143, 48, 74, 52, 56, 147, 38, 135, 151, 44 ] ), rec(
    fp:= [ 7717, 13420, 42438, 51777, 67942 ],
    level:= 4,
    next:= [ 140, 132, 142, 246, 141 ] ), rec(
    fp:= [ 22618, 23419, 32301 ],
    level:= 4,
    next:= [ 235, 233, 61 ] ), rec(
    fp:= [ 41338, 43114 ],
    level:= 4,
    next:= [ 60, 232 ] ), rec(
    fp:= [ 2779, 5428, 59152, 85478, 95161 ],
    level:= 4,
    next:= [ 63, 98, 2, 236, 62 ] ), rec(
    fp:= [ 18734, 67338, 71719, 99100 ],
    level:= 4,
    next:= [ 253, 181, 165, 215 ] ), rec(
    fp:= [ 31472, 43616, 56659 ],
    level:= 4,
    next:= [ 193, 81, 80 ] ), rec(
    fp:= [ 25531, 30906, 37851, 43752, 73970, 91758, 95896 ],
    level:= 4,
    next:= [ 85, rec(
      desc:= [ 114013 ],
      fp:= [ 16, 26 ],
      next:= [ 83, 84 ] ), 91, 92, rec(
      desc:= [ 116013 ],
      fp:= [ 16, 26 ],
      next:= [ 200, 201 ] ), 202, 207 ] ), rec(
    fp:= [ 6020, 21296, 32755, 39759, 47355, 48543, 49178, 53427, 65835, 
78373, 82003, 95998 ],
    level:= 4,
    next:= [ 65, 17, 15, 67, 113, 112, 13, 19, 110, 16, 114, 240 ] ), rec(
    fp:= [ 19562, 19657, 34493, 52999, 55801, 57799, 71321, 78496, 93902 ],
    level:= 4,
    next:= [ 42, 31, 36, 35, rec(
      desc:= [ 118013 ],
      fp:= [ 16, 26 ],
      next:= [ 128, 129 ] ), 133, 130, rec(
      desc:= [ 123013 ],
      fp:= [ 16, 26 ],
      next:= [ 33, 34 ] ), rec(
      desc:= [ 122013 ],
      fp:= [ 16, 26 ],
      next:= [ 29, 30 ] ) ] ), rec(
    fp:= [ 7513, 10621, 12716, 13349, 15220, 20958, 42670, 57880, 58653, 
62385, 96377, 97491 ],
    level:= 4,
    next:= [ 69, 120, 21, 122, 24, 71, 25, 23, 118, 27, 121, 244 ] ), rec(
    fp:= [ 2961, 15258 ],
    level:= 4,
    next:= [ 139, 245 ] ), rec(
    fp:= [ 8336, 33026, 37757, 45424, 51252, 64663, 85868, 88800, 97259, 
99204 ],
    level:= 4,
    next:= [ 169, 177, 223, 188, 211, 173, 219, 227, 184, 255 ] ), 237, rec(
    fp:= [ 57732, 67517 ],
    level:= 4,
    next:= [ 155, 249 ] ), 241, rec(
    fp:= [ 22189, 48914, 76092 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 118013 ],
      fp:= [ 16, 26 ],
      next:= [ 100, 101 ] ), 102, 107 ] ), rec(
    fp:= [ 33204, 50217, 64808, 74491, 98436 ],
    level:= 4,
    next:= [ 70, 22, 243, 68, 119 ] ), 96, rec(
    fp:= [ 3758, 43672, 53434 ],
    level:= 4,
    next:= [ 32, 28, 127 ] ), rec(
    fp:= [ 16579, 43013, 65610 ],
    level:= 4,
    next:= [ 131, 126, rec(
      desc:= [ 122013 ],
      fp:= [ 16, 26 ],
      next:= [ 124, 125 ] ) ] ), rec(
    fp:= [ 6755, 13497, 14682, 20742, 22756, 31224, 32705, 33869, 47809, 
59664 ],
    level:= 4,
    next:= [ 197, 164, 161, 159, 163, 196, 198, 252, 160, 194 ] ), rec(
    fp:= [ 16910, 74442, 88203 ],
    level:= 4,
    next:= [ 97, 1, 3 ] ), rec(
    fp:= [ 31640, 66306, 76385, 86068, 88706 ],
    level:= 4,
    next:= [ 14, 111, 239, 64, 66 ] ), rec(
    fp:= [ 17064, 18062, 22852, 27045, 31933, 38785, 50582, 51975, 83803, 
86751 ],
    level:= 4,
    next:= [ 168, 182, 166, 167, 218, 216, 208, 217, 254, 183 ] ), rec(
    fp:= [ 6829, 14382, 22646, 51101, 90142, 96739, 99504 ],
    level:= 4,
    next:= [ 209, 206, 95, rec(
      desc:= [ 115013 ],
      fp:= [ 16, 26 ],
      next:= [ 204, 205 ] ), 89, rec(
      desc:= [ 113013 ],
      fp:= [ 16, 26 ],
      next:= [ 87, 88 ] ), 94 ] ), rec(
    fp:= [ 5179, 6659, 12451, 13447, 17439, 35757, 43472, 78999, 91469 ],
    level:= 4,
    next:= [ 18, 11, 12, rec(
      desc:= [ 123013 ],
      fp:= [ 16, 26 ],
      next:= [ 9, 10 ] ), rec(
      desc:= [ 120013 ],
      fp:= [ 16, 26 ],
      next:= [ 5, 6 ] ), 109, 106, rec(
      desc:= [ 116013 ],
      fp:= [ 16, 26 ],
      next:= [ 104, 105 ] ), 7 ] ), rec(
    fp:= [ 41770, 90918, 92112 ],
    level:= 4,
    next:= [ 78, 77, 191 ] ), 79, rec(
    fp:= [ 15470, 19667 ],
    level:= 4,
    next:= [ 116, 242 ] ), 99, rec(
    fp:= [ 4984, 47113, 85732 ],
    level:= 4,
    next:= [ 20, 117, 26 ] ), 123, rec(
    fp:= [ 2075, 4322, 5913, 6189, 7690, 12551, 16518, 17644, 18084, 18985, 
32608, 32684, 37502, 45288, 48026, 52217, 56272, 63905, 67138, 75130, 75260, 
76850, 78970, 84075, 86109, 88554, 90188, 94286 ],
    level:= 4,
    next:= [ 210, 179, 189, 224, 171, 256, 175, 180, 226, 214, 172, 187, 174, 
212, 229, 225, 230, 213, 178, 222, 220, 228, 185, 176, 170, 221, 190, 
186 ] ), rec(
    fp:= [ 1658, 65993, 91557 ],
    level:= 4,
    next:= [ 103, 8, 4 ] ), rec(
    fp:= [ 1031, 5977, 9183, 14474, 17214, 18259, 24971, 34206, 35319, 35988, 
37608, 38876, 38993, 39553, 44901, 46392, 48921, 50221, 52572, 52892, 58987, 
59904, 60260, 64016, 69549, 70011, 78002, 83855, 87102, 91385, 95020, 95164, 
95574 ],
    level:= 4,
    next:= [ 136, 152, 46, 58, 75, 54, 145, 53, 41, 137, 154, 148, 144, 40, 
146, 138, 43, 248, 150, 37, 50, 73, 57, 39, 134, 45, 149, 47, 153, 51, 49, 
55, 59 ] ) ] );