/* L3(8).6 as permutations of a set of cardinality 657. */ G:=PermutationGroup<657| (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 23)(16, 26)(17, 28)(19, 31)(21, 34)(22, 36)(25, 40)(27, 43)(29, 46)(30, 48)(32, 51)(33, 53)(35, 56)(37, 58)(38, 59)(39, 61)(41, 64)(42, 66)(44, 68)(45, 70)(47, 73)(49, 76)(50, 78)(52, 81)(54, 84)(55, 86)(57, 89)(60, 92)(62, 95)(63, 69)(65, 98)(67, 101)(71, 105)(72, 107)(74, 110)(75, 112)(77, 115)(79, 118)(80, 120)(82, 123)(83, 125)(85, 128)(87, 131)(88, 133)(90, 136)(91, 138)(93, 141)(94, 143)(96, 145)(97, 147)(99, 149)(100, 151)(102, 154)(103, 156)(104, 158)(106, 161)(109, 164)(111, 166)(113, 140)(114, 169)(116, 172)(117, 174)(119, 177)(121, 179)(126, 185)(127, 187)(129, 190)(130, 192)(132, 194)(134, 182)(135, 198)(139, 203)(142, 206)(144, 209)(146, 212)(148, 214)(150, 217)(152, 220)(153, 222)(155, 225)(157, 228)(159, 196)(160, 230)(162, 232)(163, 234)(165, 180)(167, 238)(168, 240)(170, 243)(171, 241)(173, 247)(175, 250)(176, 251)(178, 254)(181, 258)(183, 261)(184, 252)(186, 263)(188, 265)(189, 259)(191, 269)(193, 272)(195, 275)(197, 278)(199, 281)(200, 283)(201, 285)(202, 287)(204, 268)(205, 290)(207, 293)(208, 295)(210, 297)(211, 299)(213, 301)(215, 304)(216, 306)(218, 309)(219, 311)(221, 313)(223, 314)(224, 316)(226, 319)(227, 320)(229, 323)(231, 325)(233, 327)(235, 330)(236, 332)(237, 334)(239, 337)(242, 339)(244, 342)(245, 343)(246, 345)(248, 348)(249, 350)(253, 354)(255, 322)(256, 358)(257, 359)(260, 363)(262, 365)(264, 367)(267, 370)(270, 374)(271, 376)(273, 378)(274, 289)(276, 382)(277, 383)(279, 386)(280, 387)(282, 390)(284, 393)(286, 310)(288, 396)(291, 294)(292, 401)(296, 405)(298, 406)(300, 408)(302, 307)(303, 412)(305, 379)(308, 415)(312, 413)(315, 422)(317, 425)(318, 427)(321, 429)(324, 433)(326, 436)(328, 438)(329, 440)(331, 442)(333, 426)(335, 445)(336, 446)(338, 448)(340, 450)(341, 452)(344, 456)(346, 457)(347, 459)(349, 461)(351, 463)(352, 464)(353, 466)(355, 439)(356, 469)(357, 471)(360, 473)(361, 475)(362, 371)(364, 478)(366, 480)(368, 482)(369, 483)(372, 485)(373, 487)(375, 488)(377, 490)(380, 398)(381, 493)(384, 495)(385, 496)(388, 500)(389, 470)(391, 504)(392, 453)(394, 435)(395, 508)(397, 511)(399, 513)(400, 509)(402, 514)(403, 515)(404, 484)(407, 421)(409, 512)(410, 521)(411, 523)(414, 525)(416, 506)(417, 527)(418, 529)(419, 517)(420, 531)(423, 534)(424, 536)(428, 539)(430, 541)(431, 542)(432, 540)(434, 545)(437, 546)(441, 550)(443, 520)(444, 510)(447, 555)(449, 557)(451, 476)(454, 558)(455, 559)(460, 563)(462, 547)(465, 566)(467, 568)(468, 548)(472, 569)(477, 486)(479, 499)(481, 574)(491, 505)(492, 579)(494, 580)(497, 583)(498, 530)(501, 586)(502, 587)(503, 588)(507, 592)(516, 532)(518, 594)(519, 596)(522, 598)(526, 600)(528, 602)(533, 577)(535, 606)(538, 608)(543, 612)(544, 597)(551, 560)(552, 618)(553, 605)(554, 614)(556, 621)(561, 593)(562, 622)(564, 624)(565, 626)(567, 629)(571, 631)(572, 632)(573, 617)(575, 627)(576, 578)(581, 637)(582, 625)(584, 639)(585, 640)(590, 615)(591, 599)(595, 609)(601, 611)(603, 641)(604, 647)(607, 636)(610, 648)(613, 650)(616, 651)(619, 643)(620, 638)(623, 649)(628, 633)(630, 653)(634, 655)(635, 642)(646, 652)(656, 657), (1, 3, 6, 11, 19, 32, 52, 82, 124, 183, 192, 271, 377, 491, 238, 336, 187, 36)(2, 4, 8, 14, 24, 39, 62, 86, 130, 169, 242, 340, 451, 73, 109, 165, 236, 333)(5, 9, 16, 27, 44, 69, 103, 157, 7, 12, 21, 35, 57, 90, 137, 201, 286, 120)(10, 17, 29, 47, 74, 111, 167, 239, 258, 361, 476, 425, 537, 558, 490, 26, 42, 67)(13, 22, 37, 53, 83, 126, 186, 264, 46, 72, 108, 163, 220, 128, 189, 267, 371, 43)(15, 25, 41, 65, 99, 150, 218, 310, 417, 528, 452, 28, 45, 71, 106, 70, 104, 159)(18, 30, 49, 77, 116, 173, 248, 349, 462, 269, 373, 59, 91, 139, 204, 289, 398, 112)(20, 33, 54, 85, 129, 191, 270, 375, 489, 51, 80, 121, 180, 257, 360, 474, 323, 432)(23, 38, 60, 93, 142, 207, 294, 403, 516, 209, 296, 275, 381, 494, 482, 576, 158, 229)(31, 50, 79, 119, 178, 255, 357, 472, 570, 534, 605, 473, 571, 281, 389, 502, 471, 466)(34, 55, 87, 132, 195, 276, 383, 475, 572, 633, 622, 652, 600, 644, 586, 525, 550, 616)(40, 63, 96, 146, 147, 213, 302, 411, 107, 162, 233, 328, 439, 548, 614, 647, 656, 508)(48, 75, 113, 168, 241, 338, 449, 463, 531, 603, 646, 598, 643, 655, 657, 343, 455, 560)(56, 88, 134, 197, 279, 272, 154, 224, 317, 426, 538, 609, 293, 401, 511, 593, 504, 240)(58, 84, 127, 188, 266, 369, 66, 100, 152, 221, 118, 176, 252, 353, 254, 356, 470, 203)(61, 94, 144, 210, 298, 407, 518, 583, 393, 89, 135, 199, 282, 391, 505, 590, 456, 561)(64, 97, 148, 215, 305, 370, 484, 577, 635, 483, 557, 521, 536, 287, 395, 509, 251, 306)(68, 102, 155, 226, 177, 253, 355, 468, 568, 301, 410, 522, 457, 562, 623, 653, 145, 211)(76, 114, 170, 244, 342, 454, 350, 378, 138, 202, 288, 397, 512, 285, 265, 368, 327, 345)(78, 117, 175, 190, 268, 372, 486, 579, 330, 441, 551, 617, 390, 503, 589, 523, 599, 574)(81, 122, 181, 259, 362, 95, 110, 125, 184)(92, 140, 205, 291, 400, 422, 533, 396, 510, 374, 461, 313, 420, 532, 604, 234, 329, 348)(98, 149, 216, 307, 414, 496, 582, 638, 587, 433, 544, 325, 435, 546, 488, 334, 444, 415)(101, 153, 223, 315, 423, 535, 607, 319, 406, 446, 554, 620, 217, 308, 386, 498, 359, 405)(105, 160, 161, 231, 309, 416, 526, 588, 641, 214, 303, 230, 324, 434, 459, 564, 625, 596)(115, 171, 245, 344, 295, 404, 517, 436, 527, 601, 247, 347, 460, 565, 627, 608, 514, 595)(123, 182, 260, 194, 274, 380, 297, 337, 447, 290, 399, 485, 578, 636, 198, 280, 388, 501)(131, 193, 273, 379, 492, 367, 481, 575, 493, 304, 413, 524, 316, 424, 185, 262, 366, 376)(133, 196, 277, 384, 179, 256, 172, 246, 346, 458, 563, 606, 632, 166, 237, 335, 311, 418)(136, 200, 284, 394, 507, 212, 300, 409, 520, 408, 519, 597, 412, 299, 156, 227, 321, 430)(141, 164, 235, 331, 440, 549, 615, 631, 445, 553, 619, 332, 443, 442, 552, 263, 365, 339)(143, 208, 243, 341, 453, 541, 611, 649, 640, 639, 566, 628, 555, 515, 261, 364, 479, 427)(151, 219, 312, 419, 530, 228, 322, 431, 543, 500, 585, 602, 645, 650, 592, 542, 469, 320)(174, 249, 351, 222, 283, 392, 506, 591, 580, 624, 448, 556, 612, 354, 467, 438, 547, 382)(206, 292, 402, 387, 499, 584, 478, 573, 634, 232, 326, 437, 529, 487, 225, 318, 428, 358)(250, 352, 465, 567, 621, 637, 618, 648, 651, 629, 539, 610, 495, 581, 626, 654, 559, 464)(278, 385, 497, 450, 545, 613, 569, 630, 363, 477, 480, 513, 594, 642, 314, 421, 429, 540)>; g:=x; h:=y;