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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  id21780.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[21780]:=
rec(
  fp:= [ 4283, 4788, 7174, 7317, 10477, 11442, 13517, 14669, 15159, 19367, 
21269, 25270, 26264, 29586, 30756, 31214, 36281, 37063, 37268, 37911, 38028, 
53270, 53294, 55959, 56172, 61379, 63818, 66819, 67322, 70270, 70613, 71077, 
71725, 73855, 74816, 76511, 79833, 81416, 85417, 88234, 92442, 93405, 98524, 
98731 ],
  next:= [ rec(
    fp:= [ 135, 4321, 5492, 24343, 35849, 78809, 99343 ],
    level:= 4,
    next:= [ 156, 264, 260, 158, 263, 164, 157 ] ), rec(
    fp:= [ 16595, 34908, 44664, 45529, 46738, 63965, 70129, 71168 ],
    level:= 4,
    next:= [ 4, 13, 222, 5, 7, 148, 149, 151 ] ), 328, rec(
    fp:= [ 29683, 36077, 58357, 76694, 76890, 89480 ],
    level:= 4,
    next:= [ 16, 161, 155, 106, 154, 17 ] ), rec(
    fp:= [ 24876, 35176, 91714 ],
    level:= 4,
    next:= [ 310, 238, 242 ] ), 233, 262, 248, rec(
    fp:= [ 8026, 10918, 13239, 39743, 61447, 66636, 70635, 73527, 77419, 
79121 ],
    level:= 4,
    next:= [ 304, 281, 342, 280, 203, 70, 108, 71, 69, 202 ] ), rec(
    fp:= [ 3000, 8693, 12232, 23111, 23453, 24988, 31791, 31865, 32985, 
34453, 35877, 36818, 38878, 39817, 42762, 46338, 47169, 49483, 49691, 54358, 
55570, 58758, 66753, 68905, 69558, 70878, 71164, 71630, 71661, 71831, 77710, 
78218, 83112, 86078, 88970, 89890 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 111003 ],
      fp:= [ 21, 1011 ],
      next:= [ 83, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 97, 92, 86 ],
        p:= [ 2, 5, 11 ] ) ] ), rec(
      desc:= [ 109002 ],
      fp:= [ 22, 1012 ],
      next:= [ 207, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 211, 215 ],
        p:= [ 5, 11 ] ) ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 5, 15 ],
      next:= [ rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 93, 98 ],
        p:= [ 5, 11 ] ), 89 ] ), 73, 343, rec(
      desc:= [ 110003 ],
      fp:= [ 21, 1011 ],
      next:= [ 208, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 213, 212, 210 ],
        p:= [ 2, 5, 11 ] ) ] ), 306, 284, 109, 75, rec(
      desc:= [ 110003 ],
      fp:= [ 34, 2014 ],
      next:= [ 79, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 84, 100 ],
        p:= [ 5, 11 ] ) ] ), rec(
      desc:= [ 122005 ],
      fp:= [ 2223, 3213 ],
      next:= [ 82, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 96, 91, 85 ],
        p:= [ 2, 5, 11 ] ) ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 3225, 4215 ],
      next:= [ 90, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ rec(
          desc:= [ 218002 ],
          fp:= [ 
688992205349562378657669570320992802099691033756914727915567938898250222790111\
0031199, 
689719040371819835284888299756315313452663898933414771489553245892790766790111\
0031199 ],
          func:= 11,
          next:= [ 95, 94 ],
          pos:= [ 18, 23 ] ), 99 ],
        p:= [ 5, 11 ] ) ] ), 285, rec(
      desc:= [ 110002 ],
      fp:= [ 5, 15 ],
      next:= [ rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 122, 126 ],
        p:= [ 5, 11 ] ), 119 ] ), rec(
      desc:= [ 111003 ],
      fp:= [ 21, 1011 ],
      next:= [ 115, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 124, 120, 116 ],
        p:= [ 2, 5, 11 ] ) ] ), rec(
      desc:= [ 118005 ],
      fp:= [ 2422, 3412 ],
      next:= [ 80, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 87, 101 ],
        p:= [ 5, 11 ] ) ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 22, 1012 ],
      next:= [ 114, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 117, 127 ],
        p:= [ 5, 11 ] ) ] ), 307, 76, rec(
      desc:= [ 111002 ],
      fp:= [ 5, 15 ],
      next:= [ rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ rec(
          fp:= [ 
14527411239222425311784367701480711281890205790572727640433038875463190031199
 , 
14541400719606223309002687837648131159403912706911229835420833307463190031199
  ],
          func:= 11,
          next:= [ 123, 121 ],
          pos:= [ 15, 5, 14 ] ), 125 ],
        p:= [ 5, 11 ] ), 118 ] ), 72, 205, 113, 111, 283, 112, 78, 204, 110, 
77, 74, rec(
      desc:= [ 115002 ],
      fp:= [ 2434, 4414 ],
      next:= [ 81, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 88, 102 ],
        p:= [ 5, 11 ] ) ] ), 305, 282, rec(
      desc:= [ 109003 ],
      fp:= [ 34, 2014 ],
      next:= [ 206, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 209, 214 ],
        p:= [ 5, 11 ] ) ] ) ] ), rec(
    fp:= [ 16873, 70449, 81517, 86586 ],
    level:= 4,
    next:= [ 244, 3, 35, 136 ] ), rec(
    fp:= [ 26344, 27959, 44243, 50239, 69090, 69416, 91453 ],
    level:= 4,
    next:= [ 139, 249, 147, 246, 141, 250, 140 ] ), rec(
    fp:= [ 21834, 24133, 24712, 26772, 35919, 57684, 79649, 82575 ],
    level:= 4,
    next:= [ 145, 41, 42, 40, 219, 186, 143, 142 ] ), rec(
    fp:= [ 4608, 12939, 19051, 30920, 33871, 51505, 73587 ],
    level:= 4,
    next:= [ 308, 311, 240, 236, 312, 243, 239 ] ), 332, 335, 129, rec(
    fp:= [ 721, 8076, 17095, 20332, 21974, 23244, 28451, 50925, 82301, 
90606 ],
    level:= 4,
    next:= [ 298, 345, 288, 313, 320, 297, 287, 319, 289, 318 ] ), rec(
    fp:= [ 23954, 34038 ],
    level:= 4,
    next:= [ 338, 269 ] ), rec(
    fp:= [ 23941, 64090 ],
    level:= 4,
    next:= [ 6, 150 ] ), rec(
    fp:= [ 22339, 66671 ],
    level:= 4,
    next:= [ 279, 341 ] ), rec(
    fp:= [ 1759, 24343, 26166, 78809 ],
    level:= 4,
    next:= [ 138, 137, 43, 144 ] ), rec(
    fp:= [ 21915, 45527, 70123, 72420, 74015 ],
    level:= 4,
    next:= [ 336, 256, 188, 45, 187 ] ), rec(
    fp:= [ 1392, 2177, 7199, 24744, 26659, 27370, 27512, 31632, 37411, 41552, 
41776, 44153, 49803, 51863, 60745, 65910, 72727, 76662, 78785, 79967, 86965, 
94296, 95606, 95682 ],
    level:= 4,
    next:= [ 47, 14, 46, 50, 49, 224, rec(
      desc:= [ 121005 ],
      fp:= [ 4834, 6814 ],
      next:= [ 191, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 194, 199 ],
        p:= [ 5, 11 ] ) ] ), rec(
      desc:= [ 119002 ],
      fp:= [ 7234, 9214 ],
      next:= [ 192, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 196, 200 ],
        p:= [ 5, 11 ] ) ] ), 258, 15, 223, 189, rec(
      desc:= [ 127005 ],
      fp:= [ 2221, 3211 ],
      next:= [ 52, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 61, 57, 53 ],
        p:= [ 2, 5, 11 ] ) ] ), rec(
      desc:= [ 124002 ],
      fp:= [ 3221, 4211 ],
      next:= [ 55, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ rec(
          desc:= [ 121011 ],
          fp:= [ 
150224249030287870401904296767728989928015298568741451241223403777495365024751\
939430013199, 
225171186381721650978208859762299266919561175482683492805454397953816688263438\
659430013199 ],
          func:= 11,
          next:= [ 58, 60 ],
          pos:= [ 19, 21 ] ), 62 ],
        p:= [ 5, 11 ] ) ] ), rec(
      desc:= [ 113002 ],
      fp:= [ 5, 15 ],
      next:= [ rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 59, 63 ],
        p:= [ 5, 11 ] ), 56 ] ), 48, 152, 257, 8, 259, 190, rec(
      desc:= [ 113003 ],
      fp:= [ 21, 1011 ],
      next:= [ 193, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 198, 197, 195 ],
        p:= [ 2, 5, 11 ] ) ] ), 337, rec(
      desc:= [ 122002 ],
      fp:= [ 2422, 3412 ],
      next:= [ 51, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 54, 64 ],
        p:= [ 5, 11 ] ) ] ) ] ), rec(
    fp:= [ 2416, 3085, 9308, 32616, 33352, 34749, 53391, 54036, 65202, 67834, 
71606, 73431, 81216, 82816, 84841, 88078, 89771, 91883, 92043, 98701 ],
    level:= 4,
    next:= [ 316, 292, 315, 346, 293, 326, 300, 323, 291, 302, 324, 299, 301, 
295, 290, 314, 322, 321, 325, 294 ] ), rec(
    fp:= [ 10977, 11810, 21181, 24744, 34325, 37561, 37999, 41311, 43394, 
58628, 62814, 64227, 64857, 75678, 89417, 89488, 93856 ],
    level:= 4,
    next:= [ 276, 173, 227, 278, 268, 172, 277, 267, 163, 171, 273, 174, 266, 
226, 340, 275, 274 ] ), 34, rec(
    fp:= [ 17580, 36412, 50403 ],
    level:= 4,
    next:= [ 241, 237, 309 ] ), rec(
    fp:= [ 3837, 37388 ],
    level:= 4,
    next:= [ 33, 175 ] ), 247, rec(
    fp:= [ 4494, 26063, 68428, 79913, 81956 ],
    level:= 4,
    next:= [ 339, 271, 270, 272, 265 ] ), rec(
    fp:= [ 24807, 72313, 73015 ],
    level:= 4,
    next:= [ 330, 228, 176 ] ), rec(
    fp:= [ 4555, 30498, 38462, 53340 ],
    level:= 4,
    next:= [ 11, 134, 1, 217 ] ), rec(
    fp:= [ 7004, 18871, 18911, 27530, 35707, 39501, 41423, 44857, 50833, 
56724, 58289, 65304, 67364, 68630, 84281, 88830, 94892, 99508 ],
    level:= 4,
    next:= [ 103, 105, 201, 170, 162, 225, 165, 66, 167, 68, 159, 67, 65, 
160, 169, 166, 168, 104 ] ), rec(
    fp:= [ 3300, 69277 ],
    level:= 4,
    next:= [ 333, 251 ] ), rec(
    fp:= [ 1026, 11555, 43658, 79386, 90555 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 108003 ],
      fp:= [ 34, 2014 ],
      next:= [ 130, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 131, 132 ],
        p:= [ 5, 11 ] ) ] ), 128, 327, 10, 216 ] ), 261, rec(
    fp:= [ 6058, 15978, 17407, 19996, 40303, 47825, 50958, 51421, 60482, 
64694, 68204, 73160, 97105 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 109002 ],
      fp:= [ 22, 1012 ],
      next:= [ 179, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 182, 185 ],
        p:= [ 5, 11 ] ) ] ), 12, rec(
      desc:= [ 110002 ],
      fp:= [ 5, 15 ],
      next:= [ rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 38, 39 ],
        p:= [ 5, 11 ] ), 37 ] ), 331, 245, 133, rec(
      desc:= [ 110003 ],
      fp:= [ 21, 1011 ],
      next:= [ 180, rec(
        fp:= [ 50, 51, 52 ],
        func:= 10,
        next:= [ 184, 183, 181 ],
        p:= [ 2, 5, 11 ] ) ] ), 218, 178, 36, 177, rec(
      desc:= [ 107003 ],
      fp:= [ 34, 2014 ],
      next:= [ 229, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 230, 231 ],
        p:= [ 5, 11 ] ) ] ), 329 ] ), rec(
    fp:= [ 18106, 36866, 41910, 51514, 73335, 90337, 91183 ],
    level:= 4,
    next:= [ 146, 253, 334, 220, 221, 252, 254 ] ), rec(
    fp:= [ 33161, 34078, 37447 ],
    level:= 4,
    next:= [ 19, 20, 234 ] ), rec(
    fp:= [ 5979, 10790, 31586, 32147, 32440, 52695, 53828, 59935, 74605, 
94825 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 107003 ],
      fp:= [ 34, 2014 ],
      next:= [ 23, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 26, 31 ],
        p:= [ 5, 11 ] ) ] ), 18, rec(
      desc:= [ 108003 ],
      fp:= [ 21, 1011 ],
      next:= [ 25, rec(
        fp:= [ 23, 24, 25 ],
        func:= 10,
        next:= [ 30, 29, 27 ],
        p:= [ 2, 5, 11 ] ) ] ), 303, 232, 22, 21, rec(
      desc:= [ 107002 ],
      fp:= [ 22, 1012 ],
      next:= [ 24, rec(
        fp:= [ 5, 6 ],
        func:= 10,
        next:= [ 28, 32 ],
        p:= [ 5, 11 ] ) ] ), 107, 235 ] ), rec(
    fp:= [ 42187, 58075, 82366, 96446 ],
    level:= 4,
    next:= [ 296, 317, 286, 344 ] ), rec(
    fp:= [ 3617, 33565, 40908, 51976 ],
    level:= 4,
    next:= [ 153, 255, 9, 44 ] ), rec(
    fp:= [ 3617, 40908 ],
    level:= 4,
    next:= [ 135, 2 ] ) ] );