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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  id11700.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[11700]:=
rec(
  fp:= [ 3864, 8296, 12967, 13759, 17628, 20948, 21057, 21708, 23605, 30470, 
31011, 33894, 35330, 37509, 38131, 38170, 38589, 39457, 39713, 40736, 41059, 
44893, 49352, 54506, 59198, 59998, 60977, 61518, 64689, 67452, 68638, 68888, 
71566, 74294, 77035, 79981, 81696, 85535, 85776, 90211, 90515, 94456, 96595, 
96660, 98247 ],
  next:= [ rec(
    fp:= [ 5235, 20326, 73523 ],
    level:= 4,
    next:= [ 239, 304, 300 ] ), rec(
    fp:= [ 143, 22623, 23626, 30885, 31563, 44327, 80487, 81545, 97998, 
98471 ],
    level:= 4,
    next:= [ 45, 46, 155, 16, 3, 1, 17, 5, 48, 2 ] ), rec(
    fp:= [ 23334, 26373, 36846, 44115, 54714, 66451, 67556, 77775, 82365, 
89755 ],
    level:= 4,
    next:= [ 278, 244, 246, 282, 279, 330, 248, 281, 247, 277 ] ), rec(
    fp:= [ 5020, 6633, 12113, 30806, 48036, 52769, 52848, 69222, 73437, 
76946, 84008 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 310, 313 ] ), rec(
      desc:= [ 109008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 309, 308, 312 ] ), 317, rec(
      desc:= [ 111008 ],
      fp:= [ 72, 6022 ],
      next:= [ 316, 315 ] ), rec(
      desc:= [ 114008 ],
      fp:= [ 72, 6022 ],
      next:= [ 258, 257 ] ), 320, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 252, 255 ] ), 319, 259, 260, rec(
      desc:= [ 110008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 251, 250, 254 ] ) ] ), rec(
    fp:= [ 7987, 20612, 30321, 42063, 44878, 72761, 76108, 79486 ],
    level:= 4,
    next:= [ 283, 262, 266, 287, 290, 270, 329, 293 ] ), rec(
    fp:= [ 14445, 32070 ],
    level:= 4,
    next:= [ 209, 337 ] ), rec(
    fp:= [ 10460, 33941, 47315, 57071, 80584, 86268, 90340 ],
    level:= 4,
    next:= [ 182, 25, 26, 183, rec(
      desc:= [ 120002 ],
      fp:= [ 24, 2014 ],
      next:= [ 23, 22 ] ), 24, rec(
      desc:= [ 117008 ],
      fp:= [ 72, 6022 ],
      next:= [ 181, 180 ] ) ] ), rec(
    fp:= [ 732, 50586 ],
    level:= 4,
    next:= [ 273, 333 ] ), rec(
    fp:= [ 44630, 54670, 65504 ],
    level:= 4,
    next:= [ 298, 299, 237 ] ), rec(
    fp:= [ 24614, 27302, 35032, 87384 ],
    level:= 4,
    next:= [ 326, 341, 198, 156 ] ), rec(
    fp:= [ 44943, 53484, 73722 ],
    level:= 4,
    next:= [ 344, 327, 149 ] ), rec(
    fp:= [ 8939, 20475, 49755, 74468, 83245, 89334, 96218 ],
    level:= 4,
    next:= [ 230, 234, 170, 174, 226, 335, 130 ] ), rec(
    fp:= [ 10539, 21550, 44863, 52550, 55381, 62308, 63205, 81562, 87591, 
90592, 91984, 99187 ],
    level:= 4,
    next:= [ 210, 74, 208, 212, 73, 75, 336, 77, 211, 76, 164, 165 ] ), rec(
    fp:= [ 21873, 91905, 93074 ],
    level:= 4,
    next:= [ 125, 124, 109 ] ), 343, rec(
    fp:= [ 17087, 72658 ],
    level:= 4,
    next:= [ 145, 322 ] ), 339, rec(
    fp:= [ 17560, 32117, 84992, 88060 ],
    level:= 4,
    next:= [ 245, 280, 276, 331 ] ), 123, rec(
    fp:= [ 1353, 1372, 14194, 15957, 20609, 21627, 26968, 27977, 28188, 
32656, 34229, 35395, 37449, 37559, 40609, 41316, 41626, 41687, 43457, 45923, 
53631, 55581, 57968, 60115, 63957, 65277, 65603, 66648, 68112, 69109, 69151, 
71668, 72235, 78432, 82697, 84828, 87224, 95228, 96403, 96578, 96663 ],
    level:= 4,
    next:= [ 166, 135, 134, 231, 133, 177, 95, 91, 131, 173, 141, 228, 93, 
94, 139, 90, 129, 225, 136, 233, 229, 101, 232, 172, 100, 97, 235, 92, 137, 
98, 127, 175, 334, 167, 171, 176, 96, 132, 236, 227, 99 ] ), rec(
    fp:= [ 5171, 8783, 16400, 23902, 27353, 30910, 34486, 34974, 36299, 
42394, 48362, 53310, 55212, 58413, 58824, 64321, 73369, 77141, 92263, 95202, 
97744, 99450, 99511 ],
    level:= 4,
    next:= [ 161, 159, 153, 61, 200, 40, 142, 325, 19, 20, 340, 199, 160, 42, 
157, 41, 18, 152, 14, 43, 158, 63, 197 ] ), rec(
    fp:= [ 14540, 16755, 50122, 64828, 68891, 95850, 98510 ],
    level:= 4,
    next:= [ 58, 59, 47, 12, 11, 4, 10 ] ), rec(
    fp:= [ 1117, 3559, 15028, 19754, 19966, 22762, 23877, 27130, 28356, 
34239, 36742, 40253, 44193, 44488, 60132, 65241, 69701, 77242, 79783, 83141 ],
    level:= 4,
    next:= [ 261, 267, 292, 265, 295, 296, 286, 272, 268, 264, 271, 285, 328, 
291, 294, 269, 263, 289, 288, 284 ] ), 203, rec(
    fp:= [ 11106, 11349, 78458, 87469 ],
    level:= 4,
    next:= [ 332, 274, 275, 238 ] ), rec(
    fp:= [ 23876, 92152 ],
    level:= 4,
    next:= [ 44, 154 ] ), rec(
    fp:= [ 19863, 25168, 35972 ],
    level:= 4,
    next:= [ 192, 49, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 185, 189 ] ) ] ), rec(
    fp:= [ 8587, 98492 ],
    level:= 4,
    next:= [ 178, 21 ] ), rec(
    fp:= [ 3677, 61399, 61440, 78098, 90178 ],
    level:= 4,
    next:= [ 163, 338, 67, 202, 162 ] ), rec(
    fp:= [ 33480, 44284, 62120 ],
    level:= 4,
    next:= [ 115, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 213, 217 ] ), 220 ] ), 179, rec(
    fp:= [ 4381, 6941, 16697, 28234, 73333, 78446, 83089 ],
    level:= 4,
    next:= [ 70, rec(
      desc:= [ 124002 ],
      fp:= [ 24, 2014 ],
      next:= [ 69, 68 ] ), rec(
      desc:= [ 121008 ],
      fp:= [ 72, 6022 ],
      next:= [ 205, 204 ] ), 206, 72, 71, 207 ] ), rec(
    fp:= [ 2135, 2462, 13491, 15704, 25870, 27014, 27306, 28858, 29951, 
36373, 40761, 43731, 44157, 45021, 48505, 50646, 57599, 76956, 82736, 86085, 
88643, 93924, 94868, 96056, 96994, 98000 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 113002 ],
      fp:= [ 8, 18 ],
      next:= [ 6, 7 ] ), 52, 15, rec(
      desc:= [ 113002 ],
      fp:= [ 24, 34, 2014 ],
      next:= [ 29, 28, 32 ] ), 38, rec(
      desc:= [ 111008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 187, 186, 190 ] ), rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 30, 33 ] ), rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 31, 34 ] ), 13, rec(
      desc:= [ 115008 ],
      fp:= [ 72, 6022 ],
      next:= [ 194, 193 ] ), 8, 55, rec(
      desc:= [ 113008 ],
      fp:= [ 24, 34 ],
      next:= [ 53, 54 ] ), 64, 196, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 188, 191 ] ), rec(
      desc:= [ 112008 ],
      fp:= [ 24, 34 ],
      next:= [ 51, 50 ] ), 195, rec(
      desc:= [ 118002 ],
      fp:= [ 24, 2014 ],
      next:= [ 36, 35 ] ), 65, 60, 56, 39, 37, 62, 9 ] ), rec(
    fp:= [ 4451, 6842, 8249, 14540, 15406, 16755, 18974, 24954, 27982, 34506, 
49798, 53205, 59112, 65337, 67463, 72183, 73138, 84402, 85748, 96987, 97058 ],
    level:= 4,
    next:= [ 121, rec(
      desc:= [ 117008 ],
      fp:= [ 72, 6022 ],
      next:= [ 222, 221 ] ), 138, rec(
      desc:= [ 115008 ],
      fp:= [ 24, 34 ],
      next:= [ 119, 120 ] ), 223, 122, 224, 118, rec(
      desc:= [ 114008 ],
      fp:= [ 24, 34 ],
      next:= [ 117, 116 ] ), 87, rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 80, 83 ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 24, 2014 ],
      next:= [ 86, 85 ] ), 126, 89, 128, 88, rec(
      desc:= [ 106002 ],
      fp:= [ 16, 412 ],
      next:= [ 216, 219 ] ), 140, rec(
      desc:= [ 115002 ],
      fp:= [ 24, 34, 2014 ],
      next:= [ 79, 78, 82 ] ), rec(
      desc:= [ 107002 ],
      fp:= [ 16, 412 ],
      next:= [ 81, 84 ] ), rec(
      desc:= [ 113008 ],
      fp:= [ 72, 82, 6022 ],
      next:= [ 215, 214, 218 ] ) ] ), rec(
    fp:= [ 827, 8078, 51253, 55241, 55309, 67373, 85976 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 112008 ],
      fp:= [ 72, 6022 ],
      next:= [ 302, 301 ] ), 306, 303, rec(
      desc:= [ 115008 ],
      fp:= [ 72, 6022 ],
      next:= [ 241, 240 ] ), 305, 243, 242 ] ), rec(
    fp:= [ 26422, 48796 ],
    level:= 4,
    next:= [ 323, 143 ] ), rec(
    fp:= [ 21447, 34742, 53973, 65851, 88171 ],
    level:= 4,
    next:= [ 256, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 249, 253 ] ), 318, 314, rec(
      desc:= [ 105002 ],
      fp:= [ 16, 412 ],
      next:= [ 307, 311 ] ) ] ), rec(
    fp:= [ 12506, 37764, 53201, 79335, 94104 ],
    level:= 4,
    next:= [ 147, 144, 321, 148, 146 ] ), 297, rec(
    fp:= [ 1770, 12781, 14083, 62123, 90902 ],
    level:= 4,
    next:= [ 184, 27, 151, 342, 150 ] ), 324, rec(
    fp:= [ 5767, 8188, 23273, 26312, 26872, 63533, 76647, 79443, 84178, 
95816 ],
    level:= 4,
    next:= [ 107, 112, 114, 110, 169, 103, 104, 105, 113, 108 ] ), 57, rec(
    fp:= [ 36502, 45413, 48481, 82887 ],
    level:= 4,
    next:= [ 106, 111, 168, 102 ] ), rec(
    fp:= [ 32944, 42700 ],
    level:= 4,
    next:= [ 66, 201 ] ) ] );