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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  id30420.z              GAP library of id's             Hans Ulrich Besche
##

ID_GROUP_TREE.next[30420]:=
rec(
  fp:= [ 163, 2055, 3024, 4100, 9041, 15480, 17470, 18656, 23500, 23721, 
25833, 25923, 30590, 30652, 33266, 34563, 36021, 36084, 38103, 45089, 46706, 
54991, 56497, 57240, 58090, 59363, 62659, 63997, 66700, 67560, 70658, 71546, 
72132, 80153, 82144, 82602, 85084, 87334, 88094, 90137, 92360, 92481, 95762, 
97148 ],
  next:= [ rec(
    fp:= [ 1642, 2153, 2880, 8429, 22814, 37482, 48692, 59125, 59547, 82589, 
88856 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 110008 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 444, 443, 442 ] ), rec(
      desc:= [ 109008 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 336, 335, 334 ] ), rec(
      desc:= [ 107005 ],
      fp:= [ 52, 3616 ],
      next:= [ 343, 342 ] ), rec(
      desc:= [ 111008 ],
      fp:= [ 168, 15622 ],
      next:= [ 332, 331 ] ), 441, 447, 340, rec(
      desc:= [ 113008 ],
      fp:= [ 168, 15622 ],
      next:= [ 440, 439 ] ), 341, 333, rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 452, 451 ] ) ] ), rec(
    fp:= [ 10767, 20686, 32190, 40453, 40570, 45808, 45972, 75775, 75801, 
87141, 96646, 98781 ],
    level:= 4,
    next:= [ 396, 236, 237, 311, 385, 395, 239, 202, 310, 479, 394, 
238 ] ), rec(
    fp:= [ 13712, 49008, 95696 ],
    level:= 4,
    next:= [ 467, 280, 470 ] ), rec(
    fp:= [ 4339, 7664, 8363, 12889, 29527, 35832, 36048, 71231, 93215, 
94147 ],
    level:= 4,
    next:= [ 422, 445, 455, 485, 411, 412, 454, 421, 456, 413 ] ), rec(
    fp:= [ 19562, 31092, 66250, 72397, 77780 ],
    level:= 4,
    next:= [ 132, 300, 367, 299, 476 ] ), 349, rec(
    fp:= [ 31230, 68027, 74413, 84261 ],
    level:= 4,
    next:= [ 131, 298, 128, 130 ] ), rec(
    fp:= [ 31475, 36723, 54024, 60141, 75192, 91211, 95426, 97394 ],
    level:= 4,
    next:= [ 287, 98, 22, 20, 35, 96, 23, 99 ] ), rec(
    fp:= [ 546, 3909, 8591, 9923, 13124, 14520, 14582, 22102, 26453, 31971, 
33502, 39780, 44541, 46072, 53519, 53764, 53856, 54407, 55050, 66539, 67612, 
76986, 92963, 94957, 95618 ],
    level:= 4,
    next:= [ 474, 27, 109, rec(
      desc:= [ 112003 ],
      fp:= [ 12, 22 ],
      next:= [ 123, 119 ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 12, 22 ],
      next:= [ 122, 118 ] ), 31, 362, 107, 24, 38, 37, 103, rec(
      desc:= [ 111003 ],
      fp:= [ 38, 2414 ],
      next:= [ 293, 297 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 36, 2412 ],
      next:= [ 294, 295 ] ), 290, 106, rec(
      desc:= [ 112003 ],
      fp:= [ 66, 4818 ],
      next:= [ 292, 296 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 38, 2414 ],
      next:= [ 112, 125 ] ), 291, 363, rec(
      desc:= [ 115003 ],
      fp:= [ 36, 2412 ],
      next:= [ 115, 120 ] ), 364, 36, 108, 30 ] ), 375, rec(
    fp:= [ 46107, 54060 ],
    level:= 4,
    next:= [ 1, 39 ] ), rec(
    fp:= [ 24032, 30418, 77573, 95489 ],
    level:= 4,
    next:= [ 482, 404, 427, 405 ] ), rec(
    fp:= [ 16943, 19272, 34166, 94225 ],
    level:= 4,
    next:= [ 453, 484, 420, 410 ] ), rec(
    fp:= [ 3404, 10178, 12382, 30534, 39512, 40382, 42064, 49360, 50284, 
51042, 59070, 59610, 69095, 77687, 83369, 96972, 98792 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 114003 ],
      fp:= [ 38, 2414 ],
      next:= [ 304, 308 ] ), 370, 301, rec(
      desc:= [ 117003 ],
      fp:= [ 36, 2412 ],
      next:= [ 147, 152 ] ), 141, rec(
      desc:= [ 117003 ],
      fp:= [ 12, 22 ],
      next:= [ 154, 150 ] ), rec(
      desc:= [ 115003 ],
      fp:= [ 36, 2412 ],
      next:= [ 305, 306 ] ), rec(
      fp:= [ 42550, 43412 ],
      next:= [ 138, 139 ] ), 135, 302, 477, 371, rec(
      desc:= [ 114003 ],
      fp:= [ 12, 22 ],
      next:= [ 155, 151 ] ), rec(
      desc:= [ 115003 ],
      fp:= [ 38, 2414 ],
      next:= [ 144, 157 ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 66, 4818 ],
      next:= [ 303, 307 ] ), 372, 140 ] ), rec(
    fp:= [ 9388, 9836, 13047, 19386, 21246, 29571, 30344, 31630, 35966, 
37232, 41685, 48634, 61314, 61764, 62644, 77782, 80629, 85402, 87117, 90812 ],
    level:= 4,
    next:= [ 416, 418, 426, 419, 424, 486, 415, 457, 450, 458, 460, 459, 425, 
423, 448, 449, 461, 417, 462, 414 ] ), rec(
    fp:= [ 6547, 20303, 45451, 84759, 98424 ],
    level:= 4,
    next:= [ 288, 100, 473, 359, 289 ] ), rec(
    fp:= [ 35946, 85181 ],
    level:= 4,
    next:= [ 344, 41 ] ), rec(
    fp:= [ 2159, 5624, 9587, 11388, 13775, 15160, 15949, 17676, 19676, 21059, 
23423, 23449, 26469, 26882, 33719, 33989, 35860, 39426, 40168, 41617, 43578, 
46625, 49427, 53233, 54145, 55407, 56882, 58205, 60238, 63653, 64063, 74032, 
74970, 76428, 79626, 80131, 82548, 83948, 87762, 88971, 91928, 92071, 94758, 
96740, 97444 ],
    level:= 4,
    next:= [ 249, rec(
      desc:= [ 115003 ],
      fp:= [ 66, 4818 ],
      next:= [ 252, 268 ] ), 246, rec(
      desc:= [ 116003 ],
      fp:= [ 36, 2412 ],
      next:= [ 257, 263 ] ), 243, 398, 208, 400, 242, 401, rec(
      desc:= [ 115003 ],
      fp:= [ 36, 2412 ],
      next:= [ 217, 222 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 66, 4818 ],
      next:= [ 314, 318 ] ), 399, rec(
      desc:= [ 113003 ],
      fp:= [ 38, 2414 ],
      next:= [ 315, 319 ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 38, 2414 ],
      next:= [ 255, 271 ] ), 245, 312, rec(
      desc:= [ 113003 ],
      fp:= [ 12, 22 ],
      next:= [ 225, 221 ] ), 251, rec(
      desc:= [ 116003 ],
      fp:= [ 36, 2412 ],
      next:= [ 256, 262 ] ), rec(
      fp:= [ 26740, 47408 ],
      next:= [ 247, 244 ] ), 397, rec(
      desc:= [ 115003 ],
      fp:= [ 12, 22 ],
      next:= [ 267, 261 ] ), rec(
      desc:= [ 116003 ],
      fp:= [ 12, 22 ],
      next:= [ 265, 259 ] ), 248, 250, 402, rec(
      desc:= [ 116003 ],
      fp:= [ 12, 22 ],
      next:= [ 266, 260 ] ), 205, 389, 211, 241, rec(
      desc:= [ 115003 ],
      fp:= [ 12, 22 ],
      next:= [ 224, 220 ] ), 388, rec(
      desc:= [ 116003 ],
      fp:= [ 36, 2412 ],
      next:= [ 258, 264 ] ), 240, 480, 209, rec(
      desc:= [ 114003 ],
      fp:= [ 36, 2412 ],
      next:= [ 316, 317 ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 38, 2414 ],
      next:= [ 254, 270 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 38, 2414 ],
      next:= [ 214, 227 ] ), 210, rec(
      desc:= [ 115003 ],
      fp:= [ 38, 2414 ],
      next:= [ 253, 269 ] ), 313, 390 ] ), rec(
    fp:= [ 17217, 27133, 28967, 46890, 60215, 89844, 91378 ],
    level:= 4,
    next:= [ 376, 162, 163, 386, rec(
      desc:= [ 118008 ],
      fp:= [ 168, 15622 ],
      next:= [ 378, 377 ] ), rec(
      desc:= [ 122002 ],
      fp:= [ 52, 4814 ],
      next:= [ 165, 164 ] ), 203 ] ), rec(
    fp:= [ 15809, 65044 ],
    level:= 4,
    next:= [ 368, 133 ] ), rec(
    fp:= [ 40997, 46438 ],
    level:= 4,
    next:= [ 272, 464 ] ), 320, rec(
    fp:= [ 1286, 4711, 5748, 6147, 9310, 11841, 14807, 32042, 33874, 34607, 
36592, 42681, 43709, 46361, 50897, 51858, 53254, 54998, 63117, 63277, 64364, 
72048, 76003, 77440, 77842, 78427, 79876, 84775, 85521, 89681, 95625, 95767, 
97373 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 114008 ],
      fp:= [ 168, 15622 ],
      next:= [ 354, 353 ] ), rec(
      desc:= [ 114002 ],
      fp:= [ 8, 18, 414 ],
      next:= [ 18, 17, 19 ] ), 10, rec(
      desc:= [ 111005 ],
      fp:= [ 23, 1211 ],
      next:= [ 105, 104 ] ), rec(
      desc:= [ 110003 ],
      fp:= [ 38, 2414 ],
      next:= [ 77, 92 ] ), rec(
      desc:= [ 118002 ],
      fp:= [ 8, 414 ],
      next:= [ 15, 14 ] ), rec(
      desc:= [ 117002 ],
      fp:= [ 56, 5214 ],
      next:= [ rec(
        desc:= [ 111003 ],
        fp:= [ 23, 1211 ],
        next:= [ 85, 88 ] ), rec(
        desc:= [ 111003 ],
        fp:= [ 23, 1211 ],
        next:= [ 84, 87 ] ) ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 8, 414 ],
      next:= [ 13, 12 ] ), 26, 111, 71, 11, 16, 66, rec(
      desc:= [ 119002 ],
      fp:= [ 56, 5214 ],
      next:= [ rec(
        desc:= [ 112003 ],
        fp:= [ 23, 1211 ],
        next:= [ 83, 90 ] ), rec(
        desc:= [ 112003 ],
        fp:= [ 23, 1211 ],
        next:= [ 82, 89 ] ) ] ), rec(
      desc:= [ 118002 ],
      fp:= [ 52, 4814 ],
      next:= [ 65, 64 ] ), rec(
      desc:= [ 111002 ],
      fp:= [ 4, 14 ],
      next:= [ 29, 28 ] ), rec(
      desc:= [ 120008 ],
      fp:= [ 12, 22 ],
      next:= [ 75, 74 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 24, 1212 ],
      next:= [ 113, rec(
        desc:= [ 115031 ],
        fp:= [ 38, 2414 ],
        next:= [ 126, rec(
          desc:= [ 110003 ],
          fp:= [ 12, 22 ],
          next:= [ 127, 114 ] ) ] ) ] ), rec(
      desc:= [ 111003 ],
      fp:= [ 66, 4818 ],
      next:= [ 76, 91 ] ), rec(
      desc:= [ 122008 ],
      fp:= [ 12, 22 ],
      next:= [ 73, 72 ] ), rec(
      desc:= [ 113002 ],
      fp:= [ 56, 66, 4818, 5214 ],
      next:= [ rec(
        desc:= [ 109002 ],
        fp:= [ 24, 1212 ],
        next:= [ 79, 94 ] ), 78, 93, rec(
        desc:= [ 109003 ],
        fp:= [ 24, 1212 ],
        next:= [ 80, 95 ] ) ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 23, 1211 ],
      next:= [ 116, 124 ] ), rec(
      desc:= [ 117008 ],
      fp:= [ 52, 62, 4814 ],
      next:= [ rec(
        desc:= [ 110005 ],
        fp:= [ 23, 1211 ],
        next:= [ 70, 68 ] ), 69, 67 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 23, 1211 ],
      next:= [ 117, 121 ] ), rec(
      desc:= [ 109005 ],
      fp:= [ 52, 3616 ],
      next:= [ 366, 365 ] ), 355, 361, rec(
      desc:= [ 111008 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 358, 357, 356 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 36, 2412 ],
      next:= [ 81, 86 ] ), 110, 102, 25 ] ), 463, rec(
    fp:= [ 23108, 52080, 82125 ],
    level:= 4,
    next:= [ 161, 199, 160 ] ), rec(
    fp:= [ 7953, 8069, 17047, 20523, 21308, 24684, 29501, 47410, 59980, 
68958, 76189, 77526, 90563 ],
    level:= 4,
    next:= [ 34, rec(
      desc:= [ 112003 ],
      fp:= [ 12, 22 ],
      next:= [ 54, 52 ] ), 45, rec(
      desc:= [ 111003 ],
      fp:= [ 38, 2414 ],
      next:= [ 283, 286 ] ), 278, rec(
      desc:= [ 109003 ],
      fp:= [ 66, 4818 ],
      next:= [ 468, 469 ] ), 281, 33, rec(
      desc:= [ 113003 ],
      fp:= [ 36, 2412 ],
      next:= [ 284, 285 ] ), 282, 471, 346, 7 ] ), rec(
    fp:= [ 3517, 57305, 70415, 83939, 84386 ],
    level:= 4,
    next:= [ 323, 429, rec(
      desc:= [ 107005 ],
      fp:= [ 52, 3616 ],
      next:= [ 326, 325 ] ), 324, rec(
      desc:= [ 108005 ],
      fp:= [ 52, 3616 ],
      next:= [ 434, 433 ] ) ] ), rec(
    fp:= [ 22114, 29494, 69864, 73692 ],
    level:= 4,
    next:= [ 279, 32, 40, 2 ] ), rec(
    fp:= [ 28848, 34956, 53128, 54060, 63809, 67444, 76055, 91505, 93921 ],
    level:= 4,
    next:= [ 143, rec(
      desc:= [ 114003 ],
      fp:= [ 23, 1211 ],
      next:= [ 148, 156 ] ), rec(
      desc:= [ 113005 ],
      fp:= [ 23, 1211 ],
      next:= [ 137, 136 ] ), rec(
      desc:= [ 112002 ],
      fp:= [ 24, 1212 ],
      next:= [ 145, rec(
        desc:= [ 120005 ],
        fp:= [ 38, 2414 ],
        next:= [ 158, rec(
          desc:= [ 112003 ],
          fp:= [ 12, 22 ],
          next:= [ 159, 146 ] ) ] ) ] ), 134, rec(
      desc:= [ 114003 ],
      fp:= [ 23, 1211 ],
      next:= [ 149, 153 ] ), rec(
      desc:= [ 111005 ],
      fp:= [ 52, 3616 ],
      next:= [ 374, 373 ] ), 369, 142 ] ), rec(
    fp:= [ 884, 1442, 15538, 27288, 56615, 58536, 88165 ],
    level:= 4,
    next:= [ 60, 101, 350, 61, 360, rec(
      desc:= [ 115008 ],
      fp:= [ 168, 15622 ],
      next:= [ 352, 351 ] ), rec(
      desc:= [ 119002 ],
      fp:= [ 52, 4814 ],
      next:= [ 63, 62 ] ) ] ), rec(
    fp:= [ 2745, 3955, 62530, 70844, 72992, 75116, 86692 ],
    level:= 4,
    next:= [ 446, 328, rec(
      desc:= [ 112008 ],
      fp:= [ 168, 15622 ],
      next:= [ 330, 329 ] ), 338, 339, 436, rec(
      desc:= [ 114008 ],
      fp:= [ 168, 15622 ],
      next:= [ 438, 437 ] ) ] ), rec(
    fp:= [ 49912, 68300, 70287, 95839 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 109003 ],
      fp:= [ 66, 4818 ],
      next:= [ 276, 277 ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 66, 4818 ],
      next:= [ 274, 275 ] ), rec(
      desc:= [ 108003 ],
      fp:= [ 66, 4818 ],
      next:= [ 465, 466 ] ), 273 ] ), rec(
    fp:= [ 1085, 14976, 16521, 17473, 18762, 20368, 24406, 28449, 35398, 
39833, 40098, 46133, 46306, 47857, 52631, 53354, 61443, 73899, 84908, 88824, 
90298, 90405, 93545, 96296 ],
    level:= 4,
    next:= [ rec(
      desc:= [ 123008 ],
      fp:= [ 12, 22 ],
      next:= [ 175, 174 ] ), rec(
      desc:= [ 115002 ],
      fp:= [ 56, 66, 4818, 5214 ],
      next:= [ rec(
        desc:= [ 111002 ],
        fp:= [ 24, 1212 ],
        next:= [ 181, 196 ] ), 180, 195, rec(
        desc:= [ 111003 ],
        fp:= [ 24, 1212 ],
        next:= [ 182, 197 ] ) ] ), 212, rec(
      desc:= [ 114003 ],
      fp:= [ 23, 1211 ],
      next:= [ 219, 223 ] ), 381, rec(
      desc:= [ 119008 ],
      fp:= [ 52, 62, 4814 ],
      next:= [ rec(
        desc:= [ 112005 ],
        fp:= [ 23, 1211 ],
        next:= [ 172, 170 ] ), 171, 169 ] ), 387, rec(
      desc:= [ 113008 ],
      fp:= [ 168, 178, 15622 ],
      next:= [ 384, 383, 382 ] ), 204, rec(
      desc:= [ 116008 ],
      fp:= [ 168, 15622 ],
      next:= [ 380, 379 ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 56, 5214 ],
      next:= [ rec(
        desc:= [ 113003 ],
        fp:= [ 23, 1211 ],
        next:= [ 185, 192 ] ), rec(
        desc:= [ 113003 ],
        fp:= [ 23, 1211 ],
        next:= [ 184, 191 ] ) ] ), rec(
      desc:= [ 112002 ],
      fp:= [ 24, 1212 ],
      next:= [ 215, rec(
        desc:= [ 117005 ],
        fp:= [ 38, 2414 ],
        next:= [ 228, rec(
          desc:= [ 112003 ],
          fp:= [ 12, 22 ],
          next:= [ 229, 216 ] ) ] ) ] ), rec(
      desc:= [ 114003 ],
      fp:= [ 23, 1211 ],
      next:= [ 218, 226 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 38, 2414 ],
      next:= [ 179, 194 ] ), 173, rec(
      desc:= [ 119002 ],
      fp:= [ 56, 5214 ],
      next:= [ rec(
        desc:= [ 113003 ],
        fp:= [ 23, 1211 ],
        next:= [ 187, 190 ] ), rec(
        desc:= [ 113003 ],
        fp:= [ 23, 1211 ],
        next:= [ 186, 189 ] ) ] ), rec(
      desc:= [ 111005 ],
      fp:= [ 52, 3616 ],
      next:= [ 392, 391 ] ), 213, 168, rec(
      desc:= [ 113005 ],
      fp:= [ 23, 1211 ],
      next:= [ 207, 206 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 66, 4818 ],
      next:= [ 178, 193 ] ), rec(
      desc:= [ 120002 ],
      fp:= [ 52, 4814 ],
      next:= [ 167, 166 ] ), rec(
      desc:= [ 122008 ],
      fp:= [ 12, 22 ],
      next:= [ 177, 176 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 36, 2412 ],
      next:= [ 183, 188 ] ) ] ), rec(
    fp:= [ 14976, 29197, 36270, 46133, 47300, 82056 ],
    level:= 4,
    next:= [ 59, 8, 21, 97, 9, 58 ] ), 472, 475, 129, rec(
    fp:= [ 10832, 55378 ],
    level:= 4,
    next:= [ 478, 393 ] ), rec(
    fp:= [ 48286, 89262 ],
    level:= 4,
    next:= [ 481, 403 ] ), rec(
    fp:= [ 2184, 37367, 37549, 40598, 43129, 50059, 56884, 81104, 88712, 
98364 ],
    level:= 4,
    next:= [ 230, 232, 234, 200, 233, 235, 309, 201, 198, 231 ] ), rec(
    fp:= [ 22500, 51718, 57461, 58189, 61096, 65210, 66142, 72219, 85157, 
88137, 93807, 96189 ],
    level:= 4,
    next:= [ 47, 46, 42, rec(
      desc:= [ 111002 ],
      fp:= [ 4, 14 ],
      next:= [ 6, 5 ] ), rec(
      desc:= [ 112003 ],
      fp:= [ 23, 1211 ],
      next:= [ 51, 53 ] ), rec(
      desc:= [ 111005 ],
      fp:= [ 23, 1211 ],
      next:= [ 44, 43 ] ), rec(
      desc:= [ 110002 ],
      fp:= [ 24, 1212 ],
      next:= [ 48, rec(
        desc:= [ 116031 ],
        fp:= [ 38, 2414 ],
        next:= [ 56, rec(
          desc:= [ 110003 ],
          fp:= [ 12, 22 ],
          next:= [ 57, 49 ] ) ] ) ] ), 4, 345, rec(
      desc:= [ 109005 ],
      fp:= [ 52, 3616 ],
      next:= [ 348, 347 ] ), rec(
      desc:= [ 113003 ],
      fp:= [ 23, 1211 ],
      next:= [ 50, 55 ] ), 3 ] ), rec(
    fp:= [ 63773, 77425, 84515 ],
    level:= 4,
    next:= [ 322, 428, 321 ] ), rec(
    fp:= [ 7456, 7713, 23265, 23476, 25372, 62734, 74007, 97150 ],
    level:= 4,
    next:= [ 430, 483, 432, 409, 406, 408, 407, 431 ] ), rec(
    fp:= [ 61612, 65884, 85167 ],
    level:= 4,
    next:= [ 337, 435, 327 ] ) ] );