1############################################################################# 2## 3#W ctprimar.tbl GAP table library Thomas Breuer 4## 5#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany 6## 7## This file contains the data of the GAP character table library that is 8## automatically produced from the library files using 9## `CTblLib.RecomputeTOC()'. 10## 11#H ctbllib history 12#H --------------- 13#H $Log: ctprimar.tbl,v $ 14#H Revision 4.151 2012/05/07 15:26:49 gap 15#H revert three changes: 16#H - use direct product constructions from `[["Symmetric",4],["S6(2)"]]' and 17#H `[["Symmetric",4],["U4(2).2"]]' instead of `[["s4"],["S6(2)"]]' and 18#H `[["s4"],["U4(2).2"]]', respectively 19#H - use the name `"D62x2"' instead of `"D124"' 20#H TB 21#H 22#H Revision 4.150 2012/04/23 16:16:17 gap 23#H next step of consolidation: 24#H 25#H - removed a few unnecessary duplicate tables, 26#H and changed some related fusions, names of maxes, table constructions 27#H - make sure that duplicate tables arise only via `ConstructPermuted' 28#H constructions 29#H - added some relative names 30#H - added fusions A11.2 -> A12.2, L2(11).2 -> A12.2, D8x2F4(2)'.2 -> B, 31#H L2(41) -> M, (A5xA12):2 -> A17, 32#H - added maxes of A12.2, L6(2), 2.M22.2 33#H - added table of QD16.2, 34#H - fixed the syntax of two `ALN' calls 35#H TB 36#H 37#H Revision 4.149 2012/03/28 15:36:39 gap 38#H updated the table of contents and the dependent attributes 39#H TB 40#H 41#H Revision 4.148 2012/03/21 16:59:20 gap 42#H adjusted to the current data 43#H TB 44#H 45#H Revision 4.147 2012/03/07 16:16:11 gap 46#H current table of contents 47#H TB 48#H 49#H Revision 4.146 2012/01/30 08:24:53 gap 50#H for the current version 51#H TB 52#H 53#H Revision 4.145 2012/01/27 17:45:14 gap 54#H adjusted to the format changes and additions 55#H TB 56#H 57#H Revision 4.144 2011/09/28 14:24:53 gap 58#H - removed revision entry, 59#H - adjusted to the contents 60#H TB 61#H 62#H Revision 4.143 2011/02/09 16:07:47 gap 63#H adjusted to the recent changes 64#H TB 65#H 66#H Revision 4.142 2010/12/02 08:48:45 gap 67#H reflects the current contents 68#H TB 69#H 70#H Revision 4.141 2010/11/15 16:48:29 gap 71#H added missing maxes (fusions) of S8(2) 72#H TB 73#H 74#H Revision 4.140 2010/09/15 08:16:14 gap 75#H recent additions 76#H TB 77#H 78#H Revision 4.139 2010/05/19 16:06:48 gap 79#H do not call `LoadPackage' in a package file 80#H TB 81#H 82#H Revision 4.138 2010/05/05 13:20:09 gap 83#H - added many class fusions, 84#H - changed several class fusions according to consistency conditions, 85#H after systematic checks of consistency 86#H - with Brauer tables w.r.t. the restriction of characters, 87#H - of subgroup fusions with the corresponding subgroup fusions between 88#H proper factors where the factor fusions are stored, 89#H - of subgroup fusions from maximal subgroups with subgroup fusions of 90#H extensions inside automorphic extensions 91#H 92#H TB 93#H 94#H Revision 4.137 2010/01/19 17:06:58 gap 95#H for the recent additions 96#H TB 97#H 98#H Revision 4.136 2009/06/15 15:45:19 gap 99#H fixed a typo 100#H TB 101#H 102#H Revision 4.135 2009/06/15 15:12:12 gap 103#H added tables of 2E6(2)M3, 2E6(2)M4, 2E6(2)M5, 2E6(2)M7, 2E6(2)M8, 2E6(2)M9, 104#H and corresponding fusions 105#H TB 106#H 107#H Revision 4.134 2009/04/30 16:21:42 gap 108#H added a missing table 109#H TB 110#H 111#H Revision 4.133 2009/04/29 14:38:54 gap 112#H added table of 3^(1+12).2.Suz.2 (< M) and related tables 113#H (contributed by Richard Barraclough) 114#H TB 115#H 116#H Revision 4.132 2009/04/27 08:27:44 gap 117#H adjusted to the new contents 118#H TB 119#H 120#H Revision 4.131 2009/04/22 12:39:09 gap 121#H added missing maxes of He.2, ON.2, HN.2, Fi24, and B 122#H TB 123#H 124#H Revision 4.130 2009/03/18 08:51:32 gap 125#H table of BM7 (contributed by Eamonn) 126#H TB 127#H 128#H Revision 4.129 2009/03/02 16:47:03 gap 129#H adjusted 130#H TB 131#H 132#H Revision 4.128 2009/01/12 17:33:58 gap 133#H added missing maxes of Fi22.2 and their fusions 134#H TB 135#H 136#H Revision 4.127 2009/01/07 10:24:03 gap 137#H for the recent additions 138#H TB 139#H 140#H Revision 4.126 2007/07/03 09:13:32 gap 141#H updated version 142#H TB 143#H 144#H Revision 4.125 2007/06/05 07:59:50 gap 145#H small changes 146#H TB 147#H 148#H Revision 4.124 2006/06/07 08:08:49 gap 149#H adjusted to the latest additions 150#H TB 151#H 152#H Revision 4.123 2005/09/07 13:15:45 gap 153#H adjusted to the latest additions 154#H TB 155#H 156#H Revision 4.122 2005/08/10 15:05:10 gap 157#H several new tables and fusions (using GV4 and V4G construction) 158#H TB 159#H 160#H Revision 4.121 2005/06/08 07:50:33 gap 161#H added the table of S6(4).2 (one more table Bob Guralnick needed) 162#H TB 163#H 164#H Revision 4.120 2005/04/27 07:54:30 gap 165#H new version 166#H TB 167#H 168#H Revision 4.119 2005/04/20 15:36:48 gap 169#H update 170#H TB 171#H 172#H Revision 4.118 2005/01/26 15:33:02 gap 173#H adjusted to the new entries 174#H TB 175#H 176#H Revision 4.117 2004/11/24 15:20:20 gap 177#H added missing maxes of U4(3) --Max had asked for them-- 178#H and their class fusions, 179#H fixed construction entry for "(2xA6).2^2", 180#H fixed fusion "2.U4(3).2_2' -> U4(3).2_2" 181#H TB 182#H 183#H Revision 4.116 2004/08/31 12:33:34 gap 184#H added tables of 4.L2(25).2_3, 185#H L2(49).2^2, 186#H L2(81).2^2, 187#H L2(81).(2x4), 188#H 3.L3(4).3.2_2, 189#H L3(9).2^2, 190#H L4(4).2^2, 191#H 2x2^3:L3(2)x2, 192#H (2xA6).2^2, 193#H 2xL2(11).2, 194#H S3xTh, 195#H 41:40, 196#H 7^(1+4):(3x2.S7), 197#H 7xL2(8), 198#H (7xL2(8)).3, 199#H O7(3)N3A, 200#H O8+(3).2_1', 201#H O8+(3).2_1'', 202#H O8+(3).2_2', 203#H O8+(3).(2^2)_{122}, 204#H S4(9), 205#H S4(9).2_i, 206#H 2.U4(3).2_2', 207#H 2.U4(3).(2^2)_{133}, 208#H 2.U4(3).D8, 209#H 3.U6(2).S3, 210#H added fusions 3.A6.2_i -> 3.A6.2^2, 211#H L2(49).2_i -> L2(49).2^2, 212#H L3(9).2_i -> L3(9).2^2, 213#H L4(4).2_i -> L4(4).2^2, 214#H G2(3) -> O7(3), 215#H L2(17) -> S8(2), 216#H 2.L3(4).2_2 -> 2.M22.2 217#H 3.L3(4).2_2 -> 3.L3(4).3.2_2 218#H 3.L3(4).3 -> 3.L3(4).3.2_2 219#H 2^5:S6 -> 2.M22.2 220#H O8+(3) -> O8+(3).2_1', 221#H O8+(3) -> O8+(3).2_1'', 222#H O8+(3) -> O8+(3).2_2', 223#H O8+(3) -> O8+(3).(2^2)_{122}, 224#H O8+(3).2_1 -> O8+(3).(2^2)_{122}, 225#H O8+(3).2_2 -> O8+(3).(2^2)_{122}, 226#H 2.U4(3) -> 2.U4(3).2_2', 227#H 2.U4(3).2_1 -> 2.U4(3).(2^2)_{133}, 228#H 2.U4(3).2_2 -> O7(3), 229#H 2.U4(3).2_2' -> U4(3).2_2, 230#H 2.U4(3).2_3 -> 2.U4(3).(2^2)_{133}, 231#H 2.U4(3).2_3' -> 2.U4(3).(2^2)_{133}, 232#H 2.U4(3).4 -> 2.U4(3).D8, 233#H 3.U6(2).2 -> 3.U6(2).S3, 234#H 3.U6(2).3 -> 3.U6(2).S3, 235#H replaced table of psl(3,4):d12 by L3(4).D12, 236#H changed table of O8+(3).S4 to a construction table, 237#H changed encoding of the table of 12.A6.2_3, 238#H added maxes of Sz(8), Sz(8).3, 239#H TB 240#H 241#H Revision 4.115 2004/03/30 08:57:17 gap 242#H adjusted to recent changes 243#H TB 244#H 245#H Revision 4.114 2004/03/23 09:50:53 gap 246#H added fusion L2(17).2 -> B 247#H TB 248#H 249#H Revision 4.113 2004/03/12 09:15:56 gap 250#H new achievements 251#H TB 252#H 253#H Revision 4.112 2004/03/01 17:56:53 gap 254#H added a few factor fusions (needed for automatic construction of some 255#H compatible central extensions) 256#H TB 257#H 258#H Revision 4.111 2004/02/17 17:33:14 gap 259#H added certain tables of isoclinic groups of ATLAS groups 260#H (which are available in atlasrep), 261#H added missing maxes of U5(2) 262#H TB 263#H 264#H Revision 4.110 2004/01/20 10:26:13 gap 265#H added several names of the forms `<name>C<class>', `<name>N<class>' 266#H TB 267#H 268#H Revision 4.109 2003/11/19 09:09:06 gap 269#H added links to the generic tables of double covers of altern./symm. groups 270#H TB 271#H 272#H Revision 4.108 2003/11/17 15:49:55 gap 273#H added a few obvious fusions 274#H TB 275#H 276#H Revision 4.107 2003/11/14 10:07:59 gap 277#H reflects the current contents 278#H TB 279#H 280#H Revision 4.106 2003/10/06 07:23:07 gap 281#H notify added tables 282#H TB 283#H 284#H Revision 4.105 2003/07/24 15:49:14 gap 285#H notify new tables of L4(5), S4(8), U4(5) 286#H TB 287#H 288#H Revision 4.104 2003/07/22 15:12:24 gap 289#H new additions 290#H TB 291#H 292#H Revision 4.103 2003/06/20 15:03:14 gap 293#H added several fusions 294#H TB 295#H 296#H Revision 4.101 2003/05/15 17:38:28 gap 297#H next step towards the closer connection to the library of tables of marks: 298#H added fusions tbl -> tom, adjusted fusions between character tables 299#H in order to make the diagrams commute, adjusted orderings of maxes 300#H TB 301#H 302#H Revision 4.100 2003/05/05 15:37:04 gap 303#H new version 304#H TB 305#H 306#H Revision 4.99 2003/04/07 17:13:09 gap 307#H added table of 3^(3+6):(L3(3)xD8) (J. An was interested in it) 308#H TB 309#H 310#H Revision 4.98 2003/03/31 16:38:17 gap 311#H newest version 312#H TB 313#H 314#H Revision 4.97 2003/03/31 16:33:26 gap 315#H added fusions BN31 -> B, L2(31) -> B, 316#H added some names and tables of maxes of 2.B, 317#H added table of 2.(S3xFi22.2) < 2.B (J. An had asked for it) 318#H TB 319#H 320#H Revision 4.96 2003/03/27 16:25:08 gap 321#H added character table of L3(11) (computed by Frank using the 322#H Hemkemeier/J"urgens program) and its fusion into the table of marks 323#H TB 324#H 325#H Revision 4.95 2003/03/07 15:53:42 gap 326#H added tables of `Isoclinic(2.A5.2)' and `L2(125)', 327#H and many `tomidentifier' components (still several are missing) 328#H TB 329#H 330#H Revision 4.94 2003/02/24 16:36:45 gap 331#H added 2^2.L3(4).2_3, 2^2.L3(4).3, 2^2.L3(4).3.2_2, 2^2.L3(4).3.2_3 332#H TB 333#H 334#H Revision 4.93 2003/01/29 15:51:55 gap 335#H added admissible names, fusions, tables for certain maxes (which are 336#H available in Rob's ATLAS and thus should be available in the table 337#H library, too) 338#H TB 339#H 340#H Revision 4.92 2003/01/24 16:15:34 gap 341#H next version 342#H TB 343#H 344#H Revision 4.91 2003/01/24 15:57:42 gap 345#H replaced several fusions by ones that are compatible with Brauer tables 346#H TB 347#H 348#H Revision 4.90 2003/01/21 19:05:20 gap 349#H fixed again ... 350#H TB 351#H 352#H Revision 4.89 2003/01/21 16:27:24 gap 353#H first version with the improved `LIBLIST.filenames' construction 354#H TB 355#H 356#H Revision 4.88 2003/01/15 07:45:34 gap 357#H new version 358#H TB 359#H 360#H Revision 4.87 2002/11/15 14:44:54 gap 361#H addition of O8-(3).2_1 362#H TB 363#H 364#H Revision 4.86 2002/10/22 12:44:16 gap 365#H added 215 factor fusions for cases <tbl> -> <tbl> / O_{<p>}(<tbl>) 366#H (they make it possible to construct <p>-modular Brauer tables 367#H for tables of the type [p^n].<fact> where the <p>-modular Brauer table 368#H of <fact> is in the library) 369#H TB 370#H 371#H Revision 4.85 2002/10/14 15:21:25 gap 372#H latest additions 373#H TB 374#H 375#H Revision 4.84 2002/09/23 15:11:09 gap 376#H adjusted to the recent changes 377#H TB 378#H 379#H Revision 4.83 2002/09/18 15:22:02 gap 380#H changed the `text' components of many fusions, 381#H in order to use them as a status information (for evaluation) 382#H TB 383#H 384#H Revision 4.82 2002/08/21 14:56:15 gap 385#H adjusted to the changes 386#H TB 387#H 388#H Revision 4.81 2002/08/21 13:53:53 gap 389#H removed names of the form `c1m<n>', `c2m<n>', `c3m<n>' 390#H TB 391#H 392#H Revision 4.80 2002/08/01 08:24:22 gap 393#H added tables of 3.L3(7).S3, L3(7).S3, 3.U3(5).S3, 3.U3(11).S3, U3(11).S3 394#H TB 395#H 396#H Revision 4.79 2002/07/17 15:25:15 gap 397#H added RuN7, RuN13 398#H TB 399#H 400#H Revision 4.78 2002/07/08 16:06:57 gap 401#H changed `construction' component from function (call) to list of function 402#H name and arguments 403#H TB 404#H 405#H Revision 4.77 2002/03/25 18:19:14 gap 406#H adjust to the recent additions 407#H TB 408#H 409#H Revision 4.76 2002/03/04 17:58:03 gap 410#H adjusted to the latest additions (Sylow normalizers) 411#H TB 412#H 413#H Revision 4.75 2001/10/22 15:51:04 gap 414#H added two new tables (contributed by Faryad Ali) 415#H TB 416#H 417#H Revision 4.74 2001/10/01 15:29:38 gap 418#H added info about S12(2) 419#H 420#H TB 421#H 422#H Revision 4.73 2001/08/28 16:19:30 gap 423#H - the assignments to TOM_TBL_INFO are executed only if the 424#H library of tables of marks is available 425#H - some calls to Immutable were replaced by MakeImmutable 426#H (creates fewer garbage) 427#H - added a few alias names for tables 428#H 429#H TB 430#H 431#H Revision 4.72 2001/08/06 15:41:30 gap 432#H made LIBTABLE and TOM_TBL_INFO readonly 433#H 434#H TB 435#H 436#H Revision 4.71 2001/05/14 15:44:36 gap 437#H added table of 2.(2xF4(2)).2 (computed by Simon Norton) 438#H TB 439#H 440#H Revision 4.70 2001/05/08 15:37:10 gap 441#H admitted the names 3.Fi24' and 3.Fi24 (requested by Juergen Mueller) 442#H TB 443#H 444#H Revision 4.69 2001/05/04 17:10:35 gap 445#H removed `Immutable' 446#H TB 447#H 448#H Revision 4.68 2001/05/04 16:50:54 gap 449#H first revision for ctbllib 450#H 451#H 452#H tbl history (GAP 4) 453#H ------------------- 454#H (Rev. 4.68 of ctbllib coincides with Rev. 4.67 of tbl in GAP 4) 455#H 456#H RCS file: /gap/CVS/GAP/4.0/tbl/ctprimar.tbl,v 457#H Working file: ctprimar.tbl 458#H head: 4.67 459#H branch: 460#H locks: strict 461#H access list: 462#H symbolic names: 463#H GAP4R2: 4.40.0.4 464#H GAP4R2PRE2: 4.40.0.2 465#H GAP4R2PRE1: 4.37.0.2 466#H GAP4R1: 4.25.0.2 467#H keyword substitution: kv 468#H total revisions: 78; selected revisions: 78 469#H description: 470#H ---------------------------- 471#H revision 4.67 472#H date: 2001/03/12 16:49:20; author: gap; state: Exp; lines: +90 -15 473#H added info about new tables 474#H 475#H TB 476#H ---------------------------- 477#H revision 4.66 478#H date: 2001/03/02 18:33:33; author: gap; state: Exp; lines: +48 -40 479#H newest version 480#H 481#H TB 482#H ---------------------------- 483#H revision 4.65 484#H date: 2001/02/06 14:49:18; author: gap; state: Exp; lines: +17 -6 485#H added tables of S6(4) and U4(4) 486#H 487#H TB 488#H ---------------------------- 489#H revision 4.64 490#H date: 2001/01/16 16:39:21; author: gap; state: Exp; lines: +7 -4 491#H added table of S4(7).2 492#H 493#H TB 494#H ---------------------------- 495#H revision 4.63 496#H date: 2001/01/15 16:42:45; author: gap; state: Exp; lines: +22 -11 497#H renamed file `ctosympl.tbl' to `ctosymp1.tbl', 498#H added tables of S4(7) (a present for Gunter Malle) 499#H and S6(5) (ordered by Bob Guralnick) 500#H 501#H TB 502#H ---------------------------- 503#H revision 4.62 504#H date: 2000/12/27 15:12:43; author: gap; state: Exp; lines: +18 -15 505#H for the recent additions 506#H 507#H TB 508#H ---------------------------- 509#H revision 4.61 510#H date: 2000/12/11 15:51:17; author: gap; state: Exp; lines: +40 -10 511#H added the table of "3^3.[3^10].GL3(3)" 512#H (one of the missing maxes of F3+) 513#H 514#H TB 515#H ---------------------------- 516#H revision 4.60 517#H date: 2000/11/27 15:52:30; author: gap; state: Exp; lines: +23 -2 518#H added `IsSimple' info about small linear groups; 519#H not really exciting but for the sake of completeness ... 520#H 521#H TB 522#H ---------------------------- 523#H revision 4.59 524#H date: 2000/10/14 09:05:32; author: gap; state: Exp; lines: +58 -51 525#H added info about E6(2) 526#H 527#H TB 528#H ---------------------------- 529#H revision 4.58 530#H date: 2000/10/09 17:21:50; author: gap; state: Exp; lines: +32 -13 531#H added tables of 3_1.U4(3).2_2' and F3+M9 532#H 533#H TB 534#H ---------------------------- 535#H revision 4.57 536#H date: 2000/07/22 09:31:22; author: gap; state: Exp; lines: +32 -19 537#H added tables of missing maxes of 2.HS 538#H (I should have done this a long time ago ...) 539#H 540#H TB 541#H ---------------------------- 542#H revision 4.56 543#H date: 2000/07/08 10:07:47; author: gap; state: Exp; lines: +69 -34 544#H added some maxes of 2.HS (not yet complete ...) and corresponding fusions 545#H 546#H TB 547#H ---------------------------- 548#H revision 4.55 549#H date: 2000/06/09 17:24:19; author: gap; state: Exp; lines: +30 -20 550#H added 6.SuzM12 (now the maxes of 6.Suz are complete) 551#H 552#H TB 553#H ---------------------------- 554#H revision 4.54 555#H date: 2000/05/22 16:54:20; author: gap; state: Exp; lines: +46 -23 556#H added 2.SuzM12 and two more maxes of 6.Suz 557#H 558#H TB 559#H ---------------------------- 560#H revision 4.53 561#H date: 2000/05/13 12:15:29; author: gap; state: Exp; lines: +106 -37 562#H added some maxes of 6.Suz: [1,2,4,6,9,10,11,14,16] 563#H 564#H TB 565#H ---------------------------- 566#H revision 4.52 567#H date: 2000/04/06 12:30:42; author: gap; state: Exp; lines: +34 -6 568#H added table of 2.S18 (computed by Gunter Malle) 569#H 570#H TB 571#H ---------------------------- 572#H revision 4.51 573#H date: 2000/04/06 11:47:06; author: gap; state: Exp; lines: +7 -4 574#H added table of S18 (needed for 2.S18 that will be added afterwards) 575#H 576#H TB 577#H ---------------------------- 578#H revision 4.50 579#H date: 2000/04/05 15:15:50; author: gap; state: Exp; lines: +84 -16 580#H added tables of 2.S14, 2.S15, 2.S16, 2.S17 581#H (computed by Gunter Malle) 582#H 583#H TB 584#H ---------------------------- 585#H revision 4.49 586#H date: 2000/04/03 11:06:50; author: gap; state: Exp; lines: +40 -28 587#H added tables of 6.U6(2)M3 and (2^2x3).U6(2)M3 (constructed for Eamonn) 588#H 589#H TB 590#H ---------------------------- 591#H revision 4.48 592#H date: 2000/03/31 13:02:42; author: gap; state: Exp; lines: +30 -17 593#H added table of 6.U6(2)M3 (= 6.U6(2) \cap 3.Fi22M5 \leq 3.Fi22) 594#H 595#H TB 596#H ---------------------------- 597#H revision 4.47 598#H date: 2000/03/31 11:25:44; author: gap; state: Exp; lines: +12 -5 599#H added table of 2.U6(2)M3 (< 2^10.M22) 600#H 601#H TB 602#H ---------------------------- 603#H revision 4.46 604#H date: 2000/03/30 10:12:51; author: gap; state: Exp; lines: +18 -9 605#H added table of 3.U6(2)M3 (structure 2^9.3L3(4)) 606#H 607#H TB 608#H ---------------------------- 609#H revision 4.45 610#H date: 2000/03/30 09:43:06; author: gap; state: Exp; lines: +8 -5 611#H for new table of (2^2x3).L3(4) 612#H 613#H TB 614#H ---------------------------- 615#H revision 4.44 616#H date: 2000/03/27 11:42:00; author: gap; state: Exp; lines: +22 -10 617#H added table of 6.Fi22M5 (Eamonn had asked for it ...) 618#H 619#H TB 620#H ---------------------------- 621#H revision 4.43 622#H date: 2000/03/27 09:54:45; author: gap; state: Exp; lines: +65 -41 623#H added some tables of maxes of 2.Suz and corresponding fusions, 624#H added table of 3.Fi22M5 625#H 626#H TB 627#H ---------------------------- 628#H revision 4.42 629#H date: 2000/03/22 15:12:18; author: gap; state: Exp; lines: +58 -15 630#H added missing tables of maxes of 2.Suz 631#H (contributed by Frank Himstedt) 632#H 633#H TB 634#H ---------------------------- 635#H revision 4.41 636#H date: 2000/03/13 16:24:09; author: gap; state: Exp; lines: +10 -7 637#H added table of (2^2x3).U6(2) 638#H 639#H TB 640#H ---------------------------- 641#H revision 4.40 642#H date: 2000/02/21 12:41:47; author: gap; state: Exp; lines: +19 -12 643#H added tables of Fi22.2M6 and 2.Fi22M5 644#H (Eamonn had asked for them) 645#H 646#H TB 647#H ---------------------------- 648#H revision 4.39 649#H date: 2000/02/17 08:38:28; author: gap; state: Exp; lines: +9 -5 650#H added table of 2^10:M22:2 < Fi22.2 651#H 652#H TB 653#H ---------------------------- 654#H revision 4.38 655#H date: 2000/02/15 10:09:46; author: gap; state: Exp; lines: +8 -5 656#H added table of 2^8:S6(2) (computed by Faryad Ali) 657#H 658#H TB 659#H ---------------------------- 660#H revision 4.37 661#H date: 2000/02/02 11:49:08; author: gap; state: Exp; lines: +38 -31 662#H added table of the preimage of Fi22.2N2B in 3.Fi22 663#H (Eamonn had asked me for this table) 664#H 665#H TB 666#H ---------------------------- 667#H revision 4.36 668#H date: 2000/02/01 09:23:06; author: gap; state: Exp; lines: +11 -14 669#H corrected name of FI22M7 from `(2x2^(1+8):U4(2)):2' to 670#H `(2x2^(1+8)):U4(2):2' 671#H (see incremental ``Improvements to the ATLAS'') 672#H 673#H TB 674#H ---------------------------- 675#H revision 4.35 676#H date: 2000/01/06 13:52:06; author: gap; state: Exp; lines: +24 -16 677#H added maxes of S5 with fusions (I needed them ...) 678#H 679#H TB 680#H ---------------------------- 681#H revision 4.34 682#H date: 1999/10/22 13:24:48; author: gap; state: Exp; lines: +53 -40 683#H added maxes of J2.2 684#H 685#H TB 686#H ---------------------------- 687#H revision 4.33 688#H date: 1999/10/21 14:15:49; author: gap; state: Exp; lines: +111 -105 689#H added many `tomidentifer' and `tomfusion' values, which yields a better 690#H interface between `tom' and `tbl'; 691#H 692#H added maxes of McL.2, 693#H 694#H unified tables `J2.2M4', `2^(2+4):(3x3):2^2', `2^(2+4):(S3xS3)'. 695#H 696#H TB 697#H ---------------------------- 698#H revision 4.32 699#H date: 1999/10/04 15:57:15; author: gap; state: Exp; lines: +17 -19 700#H added and corrected several fusions from character tables 701#H to their tables of marks, 702#H unified two instances of the table of (A6xA6):2^2, 703#H corrected the name of the table of marks of 2F4(2). 704#H 705#H TB 706#H ---------------------------- 707#H revision 4.31 708#H date: 1999/09/28 15:34:04; author: gap; state: Exp; lines: +18 -5 709#H added maxes of Sz(32) 710#H 711#H TB 712#H ---------------------------- 713#H revision 4.30 714#H date: 1999/09/22 07:46:53; author: gap; state: Exp; lines: +11 -5 715#H added table of 12.A6.2_3 716#H 717#H TB 718#H ---------------------------- 719#H revision 4.29 720#H date: 1999/09/17 14:11:52; author: gap; state: Exp; lines: +93 -43 721#H added maxes of 3.Suz.2 722#H 723#H TB 724#H ---------------------------- 725#H revision 4.28 726#H date: 1999/09/14 13:30:12; author: gap; state: Exp; lines: +78 -10 727#H added maxes of 3.Suz 728#H 729#H TB 730#H ---------------------------- 731#H revision 4.27 732#H date: 1999/08/31 13:16:17; author: gap; state: Exp; lines: +63 -26 733#H added missing tables and fusions of maximal subgroups of Suz.2 734#H 735#H TB 736#H ---------------------------- 737#H revision 4.26 738#H date: 1999/08/23 10:26:59; author: gap; state: Exp; lines: +18 -18 739#H unified tables of U3(5).S3 and U3(5).3.2 740#H (one CAS table, o ne ATLAS conformal table) 741#H 742#H TB 743#H ---------------------------- 744#H revision 4.25 745#H date: 1999/07/23 13:55:03; author: gap; state: Exp; lines: +24 -17 746#H adjusted to the current contents of the table library 747#H 748#H TB 749#H ---------------------------- 750#H revision 4.24 751#H date: 1999/07/15 17:39:00; author: gap; state: Exp; lines: +61 -69 752#H adjusted to the latest contents of the table library 753#H 754#H TB 755#H ---------------------------- 756#H revision 4.23 757#H date: 1999/06/23 11:59:17; author: gap; state: Exp; lines: +12 -12 758#H added admissible name L4(3).2^2 to the table of this group, 759#H added fusions from index 2 subgroups 760#H 761#H TB 762#H ---------------------------- 763#H revision 4.22 764#H date: 1999/06/15 13:49:34; author: gap; state: Exp; lines: +10 -7 765#H added table of 2.SuzM2 (request of a student) 766#H 767#H TB 768#H ---------------------------- 769#H revision 4.21 770#H date: 1999/06/11 14:36:24; author: gap; state: Exp; lines: +5 -5 771#H adjusted to recent additions 772#H 773#H TB 774#H ---------------------------- 775#H revision 4.20 776#H date: 1999/05/31 13:35:46; author: gap; state: Exp; lines: +56 -22 777#H added missing maxes of O8+(3) 778#H 779#H TB 780#H ---------------------------- 781#H revision 4.19 782#H date: 1999/05/25 15:36:57; author: gap; state: Exp; lines: +21 -7 783#H changes in `maketbl' also in current version of the file 784#H that is actually read 785#H 786#H TB 787#H ---------------------------- 788#H revision 4.18 789#H date: 1999/05/14 08:05:57; author: gap; state: Exp; lines: +85 -35 790#H added the tables of some maxes of O8+(3) 791#H (yes, these tables are not relevant for the release of GAP 4, 792#H but Bob Guralnick had asked for them ...) 793#H 794#H TB 795#H ---------------------------- 796#H revision 4.17 797#H date: 1999/05/03 15:35:18; author: gap; state: Exp; lines: +17 -10 798#H added tables of 2.U4(3).2_3' and 6_2.U4(3).2_3' 799#H (requested by a student in Aachen) 800#H 801#H TB 802#H ---------------------------- 803#H revision 4.16 804#H date: 1999/03/25 12:32:29; author: gap; state: Exp; lines: +31 -20 805#H added fusions and tables for completing maxes of M12.2 806#H 807#H TB 808#H ---------------------------- 809#H revision 4.15 810#H date: 1998/12/07 14:37:06; author: gap; state: Exp; lines: +8 -4 811#H added new table of 2^8:S8(2) 812#H 813#H TB 814#H ---------------------------- 815#H revision 4.14 816#H date: 1998/12/07 13:11:53; author: gap; state: Exp; lines: +10 -6 817#H added new table of S8(2)M3, added some fusions into S8(2) 818#H 819#H TB 820#H ---------------------------- 821#H revision 4.13 822#H date: 1998/10/28 15:05:52; author: gap; state: Exp; lines: +3 -3 823#H added fusions from S12 and U3(8).6 into HN.2 824#H 825#H TB 826#H ---------------------------- 827#H revision 4.12 828#H date: 1998/08/18 13:55:00; author: gap; state: Exp; lines: +18 -18 829#H added table of S15 mod 3 (constructed by J"urgen M"uller) 830#H 831#H TB 832#H ---------------------------- 833#H revision 4.11 834#H date: 1998/04/03 13:26:58; author: gap; state: Exp; lines: +62 -41 835#H added tables of maxes of G2(3) and fusions into G2(3) 836#H 837#H TB 838#H ---------------------------- 839#H revision 4.10 840#H date: 1998/04/03 09:44:51; author: gap; state: Exp; lines: +13 -10 841#H renamed table `l52m10' to `2^10:L5(2)', 842#H reordered classes and characters, 843#H added fusion into O10+(2) 844#H 845#H TB 846#H ---------------------------- 847#H revision 4.9 848#H date: 1998/03/13 08:40:15; author: gap; state: Exp; lines: +9 -6 849#H added table of 2^8:O8+(2) 850#H 851#H TB 852#H ---------------------------- 853#H revision 4.8 854#H date: 1998/03/12 15:52:29; author: gap; state: Exp; lines: +10 -13 855#H tables with names `mo81p' and `y' are both `2^6:A8'; 856#H cleaned this situation, added some fusions 857#H 858#H TB 859#H ---------------------------- 860#H revision 4.7 861#H date: 1998/03/11 08:17:31; author: gap; state: Exp; lines: +11 -2 862#H define `Immutable' as identity if it is not yet bound (for GAP 3) 863#H 864#H TB 865#H ---------------------------- 866#H revision 4.6 867#H date: 1998/03/11 08:05:49; author: gap; state: Exp; lines: +68 -70 868#H mainly new fusions to tables of marks added 869#H 870#H TB 871#H ---------------------------- 872#H revision 4.5 873#H date: 1997/11/25 16:17:28; author: gap; state: Exp; lines: +32 -32 874#H fixed succession of maxes for Fi22.2, J3.2, M12.2, M22.2 875#H (The simple group itself had not been contained before.) 876#H TB 877#H ---------------------------- 878#H revision 4.4 879#H date: 1997/11/25 15:46:14; author: gap; state: Exp; lines: +188 -42 880#H first attempt to link the library of character tables and the 881#H library of tables of marks 882#H TB 883#H ---------------------------- 884#H revision 4.3 885#H date: 1997/09/05 12:33:50; author: gap; state: Exp; lines: +8 -4 886#H added table of 2^6:U4(2).2 (subgroup of 2^6:S6(2) = Fi22M6) 887#H TB 888#H ---------------------------- 889#H revision 4.2 890#H date: 1997/08/01 15:43:29; author: gap; state: Exp; lines: +62 -28 891#H added table of 2^7:S6(2) 892#H (subgroup of Fi22.2; stored using Clifford matrices); 893#H added tables of A14 mod p for p = 2, 11, 13 894#H (moved ordinary table from `ctomisc1.tbl' to `ctoalter.tbl' for that); 895#H added maxes of 2.M12; 896#H updated the ``table of contents''. 897#H ---------------------------- 898#H revision 4.1 899#H date: 1997/07/17 15:48:54; author: fceller; state: Exp; lines: +2 -2 900#H for version 4 901#H ---------------------------- 902#H revision 1.11 903#H date: 1997/06/17 14:25:53; author: sam; state: Exp; lines: +50 -27 904#H made `LIBLIST' an autoread variable 905#H ---------------------------- 906#H revision 1.10 907#H date: 1997/04/04 12:20:38; author: sam; state: Exp; lines: +23 -9 908#H added 'ConstructPermuted', 'ConstructSubdirect', 909#H changed table constructions involving 'CharTable', 'RecFields' 910#H 'Sort...' up to now 911#H ---------------------------- 912#H revision 1.9 913#H date: 1997/03/19 11:12:04; author: sam; state: Exp; lines: +19 -7 914#H added table of 2.SuzM4 915#H ---------------------------- 916#H revision 1.8 917#H date: 1997/02/01 09:48:54; author: sam; state: Exp; lines: +21 -9 918#H adjustments due to new tables 919#H ---------------------------- 920#H revision 1.7 921#H date: 1997/01/16 13:10:07; author: sam; state: Exp; lines: +7 -4 922#H rearranged definition of global var., in order to avoid 'Read' statement 923#H ---------------------------- 924#H revision 1.6 925#H date: 1997/01/15 11:54:05; author: sam; state: Exp; lines: +2 -3 926#H removed 'MakeImmutable' 927#H ---------------------------- 928#H revision 1.5 929#H date: 1996/12/17 16:37:52; author: sam; state: Exp; lines: +7 -7 930#H changed the name of '4.2^4:s5' to '4.2^4.S5' (the extension is non-split!) 931#H ---------------------------- 932#H revision 1.4 933#H date: 1996/12/17 12:49:27; author: sam; state: Exp; lines: +11 -8 934#H added some fusions into '2.HS', and table of '2.HSN3' 935#H ---------------------------- 936#H revision 1.3 937#H date: 1996/10/29 13:59:38; author: sam; state: Exp; lines: +22 -15 938#H updated version 939#H ---------------------------- 940#H revision 1.2 941#H date: 1996/10/23 15:35:39; author: sam; state: Exp; lines: +42 -16 942#H new version due to changes in table files 943#H ---------------------------- 944#H revision 1.1 945#H date: 1996/10/21 16:02:19; author: sam; state: Exp; 946#H first proposal of the table library 947#H ========================================================================== 948## 949 950 951############################################################################# 952## 953#V LIBLIST 954## 955## We define `LIBLIST' here in order to avoid an explicit 956## `Read' statement in one of the files. 957## 958BindGlobal( "LIBLIST", rec() ); 959 960 961############################################################################# 962## 963## Read the data that was automatically produced. 964## 965LIBLIST.firstnames := [ 966 # file ctoalter 967 "(2xA6).2_3", "2.A10", "2.A10.2", "Isoclinic(2.A10.2)", "2.A11", "2.A11.2", 968 "Isoclinic(2.A11.2)", "2.A12", "2.A12.2", "Isoclinic(2.A12.2)", "2.A13", 969 "2.A13.2", "Isoclinic(2.A13.2)", "2.A14.2", "Isoclinic(2.A14.2)", 970 "2.A15.2", "2.A16.2", "2.A17.2", "2.A18.2", "2.A5", "2.A5.2", 971 "Isoclinic(2.A5.2)", "2.A6", "2.A6.2_1", "2.A6.2_2", "2.A7", "2.A7.2", 972 "Isoclinic(2.A7.2)", "2.A8", "2.A8.2", "Isoclinic(2.A8.2)", "2.A9", 973 "2.A9.2", "Isoclinic(2.A9.2)", "2F4(2)'M7", "3.A6", "3.A6.2^2", "3.A6.2_1", 974 "3.A6.2_2", "3.A6.2_3", "3.A7", "3.A7.2", "4.A6.2_3", "6.A6", "6.A6.2_1", 975 "6.A6.2_2", "6.A7", "6.A7.2", "Isoclinic(6.A7.2)", "A10", "A10.2", "A11", 976 "A11.2", "A12", "A12.2", "A13", "A13.2", "A14", "A5", "A6M2", "A5.2", 977 "A6.2_1M3", "A6", "A6.2^2", "U4(3).2_3M10", "A6.2_1", "A6.2_2", "A6.2_3", 978 "A7", "A7.2", "A8", "A8.2", "A9", "A9.2", "M12M4", "A14.2", "A15.2", "A15", 979 "A16.2", "A16", "A17", "A17.2", "A18", "A18.2", "A19", "A19.2", 980 "Isoclinic(6.A6x2)", "Isoclinic(3.A6.2_3x2)", "12.A6.2_3", 981 # file ctoatres 982 "2.F4(2)", "2.F4(2).2", "Isoclinic(2.F4(2).2)", "Isoclinic(2x2.F4(2).2)", 983 "2.(2xF4(2)).2", "2.G2(4)", "2.G2(4).2", "Isoclinic(2.G2(4).2)", "2.Sz(8)", 984 "2^2.Sz(8)", "2^2.Sz(8).3", "3.G2(3)", "3.G2(3).2", "F4(2)", "F4(2).2", 985 "G2(3)", "G2(3).2", "G2(4)", "G2(4).2", "G2(5)", "R(27)", "R(27).3", 986 "Sz(32)", "Sz(32).5", "Sz(8)", "Sz(8).3", 987 # file ctocliff 988 "3^(1+10):U5(2):2", "3^5:U4(2)", "3^7:O7(3)", "2^7:S6(2)", "2^8:O8+(2)", 989 "2^8:S8(2)", "2^(1+22).Co2", 990 # file ctoconja 991 "2.Co1", "2.J2", "2.J2.2", "Isoclinic(2.J2.2)", "3.J3", "3.J3.2", "Co1", 992 "Co2", "Co3", "J1", "J2", "J2.2", "J3", "J3.2", "J4", 993 # file ctodefno 994 "NDG(12.M22,3^2)", "12.M22N3", "(GL(2,3)x2F4(2)').2", "D8x2F4(2)'.2", 995 "QD16.2", "(QD16x2F4(2)').2", "2.(3^2:D8xU4(3).2^2).2", "2xBN5", 996 "(5^2:4S4x2.A5):2", "2.BN7", "(3^2x2).U4(3).D8", "NDG(2.Co1,3^3)", 997 "NDG(Co1,5^2)", "NDG(2.Co1,5^2)", "2xCo1N3", "2xCo1N5", "2x5^(1+2):GL2(5)", 998 "2xCo1N7", "2.HS.2N3", "2.HSN2", "2.HS.2N2", "NDG(2.HS,Q8)", 999 "NDG(2.HS,Q8).2", "5^(1+2):8:4", "2.J2N2", "2.J2N3", "2.J2.2N5", "2.M12N2", 1000 "2xM12N3", "2.RuN2", "5^(1+2):(4x4):4", "3.F3+N5", "3.F3+.2N5", "3xF3+N7", 1001 "3.F3+.2N7", "3x(3xA6):2_2", "3.(3xM10):2", "3xJ3N2", "3^3.3^(1+2):8", 1002 "3^3.3^(1+2):8.2", "3.McL.2N5", "3xMcLN2", "(3xMcLN2).2", "McL.2N3", 1003 "3.McL.2N3", "3xONN2", "ON.2N2", "(3xONN2).2", "NDG(ON,D8)", 1004 "NDG(3.ON,D8)", "NDG(ON,D8).2", "3.ON.2N3", "3.ON.2M4", "3xONN7", 1005 "3.ON.2N7", "4.M22N2", "3x4.M22N2", "6.A6N2", "S3x6_1.U4(3).2_2", 1006 "2xFi22N3", "3.Fi22N3", "2x3.Fi22N3", "2xFi22N5", "6xFi22N5", 1007 "3x5^2:(4xS3)", "3x2.J2.2N5", "D8xS6(2)", "NDG(He.2,3^2)", "NDG(HN,3^2)", 1008 "NDG(HN.2,3^2)", "HNN3", "HN.2N3", "HNN5", "NDG(J4,3^2)", 1009 "(3^(1+2):2^2xG2(3)):2", "MN5", "2F4(2)'N2", "2F4(2)'.2N2", 1010 "2^(3+1+3).L3(2)", "2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)", 1011 "NRS(M24,2^(2+2+4)b)", "[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b", 1012 "NRS(M24,[2^9]b)", "L3(2)xS3", "3x2^(1+4)_-:A5", "3x2^(2+4):(3xS3)", 1013 "3x11:5", "6x7:3", 1014 # file ctoexce1 1015 "E6(2)", 1016 # file ctofisc1 1017 "2.Fi22", "2.Fi22.2", "Isoclinic(2.Fi22.2)", "3.Fi22", "3.Fi22.2", 1018 "6.Fi22", "6.Fi22.2", "Isoclinic(6.Fi22.2)", "Fi22", "Fi22.2", 1019 # file ctofisc2 1020 "3.F3+", "3.F3+.2", "F3+", "F3+.2", "Fi23", 1021 # file ctoholpl 1022 "P1/G1/L1/V1/ext2", "P1/G1/L1/V1/ext3", "P1/G1/L1/V1/ext4", 1023 "P1/G1/L1/V1/ext5", "P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext3", 1024 "P1/G1/L1/V2/ext6", "P1/G2/L1/V1/ext2", "P1/G2/L1/V1/ext3", 1025 "P1/G2/L1/V1/ext4", "P1/G2/L1/V2/ext2", "P1/G2/L1/V2/ext4", 1026 "P1/G2/L2/V2/ext2", "P1/G2/L2/V2/ext4", "P1/G3/L2/V1/ext2", 1027 "P1/G3/L2/V1/ext3", "P11/G1/L1/V1/ext2", "P11/G1/L1/V1/ext3", 1028 "P11/G1/L1/V1/ext4", "P11/G1/L1/V2/ext2", "P11/G1/L1/V2/ext4", 1029 "P11/G1/L1/V3/ext2", "P11/G1/L1/V3/ext4", "P11/G2/L1/V1/ext2", 1030 "P11/G2/L1/V1/ext3", "P11/G2/L1/V2/ext2", "P11/G3/L1/V1/ext2", 1031 "P11/G3/L1/V1/ext3", "P11/G3/L1/V2/ext3", "P11/G3/L3/V1/ext2", 1032 "P11/G3/L3/V2/ext3", "P11/G3/L4/V2/ext2", "P11/G3/L4/V2/ext3", 1033 "P11/G3/L4/V3/ext2", "P11/G4/L1/V1/ext2", "P11/G4/L1/V1/ext3", 1034 "P12/G1/L2/V1/ext2", "P12/G1/L2/V1/ext3", "P13/G1/L2/V1/ext2", 1035 "P13/G1/L2/V1/ext3", "P13/G1/L6/V1/ext2", "P2/G1/L1/V1/ext2", 1036 "P2/G1/L1/V1/ext3", "P2/G2/L1/V1/ext2", "P2/G2/L1/V1/ext3", 1037 "P2/G2/L1/V2/ext2", "P21/G1/L1/V1/ext2", "P21/G1/L1/V1/ext3", 1038 "P21/G1/L1/V1/ext4", "P21/G1/L3/V2/ext3", "P21/G2/L1/V1/ext2", 1039 "P21/G2/L1/V2/ext2", "P21/G2/L1/V3/ext2", "P21/G2/L2/V1/ext2", 1040 "P21/G2/L2/V2/ext2", "P21/G2/L2/V3/ext2", "P21/G2/L5/V2/ext2", 1041 "P21/G3/L2/V1/ext2", "P21/G3/L5/V1/ext2", "P27/G1/L1/V1/ext2", 1042 "P27/G1/L1/V1/ext3", "P27/G1/L1/V1/ext4", "P31/G1/L1/V1/ext2", 1043 "P31/G1/L1/V1/ext3", "P41/G1/L1/V1/ext2", "P41/G1/L1/V1/ext3", 1044 "P41/G1/L1/V2/ext2", "P41/G1/L1/V3/ext3", "P41/G1/L1/V4/ext2", 1045 "P41/G1/L1/V4/ext3", "P41/G2/L1/V1/ext2", "P41/G2/L1/V1/ext3", 1046 "P43/G1/L1/V1/ext2", "P43/G2/L1/V1/ext2", "P43/G3/L1/V1/ext2", 1047 "P43/G3/L1/V2/ext2", "P48/G1/L1/V1/ext2", "P48/G1/L1/V2/ext2", 1048 "P49/G1/L1/V1/ext2", "P49/G1/L1/V1/ext3", "P49/G1/L1/V2/ext3", 1049 "P50/G1/L1/V1/ext2", "P50/G1/L1/V1/ext3", "P50/G1/L1/V1/ext4", 1050 # file ctoinert 1051 "S3", "2.S3", "Symm(4)", "2.Symm(4)", "D8", "2.D8", "D10", "7:3", "2x7:3", 1052 "C3", "C4", "C6", "3^2:2", "3^(1+2)_+:2", "3^2:4", "2^3.S3", "2^3.D8", 1053 "2^3.S4v1", "2^3.S4v2", "2xSymm(4)", "D8x2", "2^2:S4", "(A4x3):2", "S3x2", 1054 "(A5x3):2", "2^4:(3x3):2", "2^3:7", "2^3", "S3xS3", "3^(1+2):4", "4^2:3", 1055 "3^2", "3^(1+2)_+", "2.2^4:3", 1056 # file ctoline1 1057 "2.L2(11)", "2.L2(11).2", "2.L2(13)", "2.L2(13).2", "2.L2(17)", 1058 "2.L2(17).2", "2.L2(19)", "2.L2(19).2", "Isoclinic(2.L2(19).2)", 1059 "2.L2(23)", "2.L2(23).2", "Isoclinic(2.L2(23).2)", "2.L2(25)", 1060 "2.L2(25).2_1", "2.L2(25).2_2", "Isoclinic(2.L2(25)x2)", 1061 "Isoclinic(L2(25).2_3x2)", "4.L2(25).2_3", "2.L2(27)", "2.L2(27).2", 1062 "2.L2(27).3", "2.L2(27).6", "2.L2(29)", "2.L2(29).2", "2.L2(31)", 1063 "2.L2(31).2", "J3M3", "L2(11)", "L2(11).2", "L2(121)M3", "M12.2M3", 1064 "U3(11)M4", "U3(11)M5", "L2(13)", "L2(13).2", "L2(16)", "L2(16).2", 1065 "S4(4)M4", "L2(16).4", "S4(4).2M5", "L2(17)", "L2(17).2", "L2(19)", 1066 "L2(19).2", "L2(23)", "L2(23).2", "L2(25)", "L2(25).2^2", "L2(25).2_1", 1067 "L2(25).2_2", "L2(25).2_3", "L2(27)", "L2(27).2", "L2(27).3", "L2(27).6", 1068 "L2(29)", "L2(29).2", "L2(31)", "L2(31).2", "L2(32)", "L2(32).5", "L2(8)", 1069 "L2(8).3", "A9M5", "ONM8", 1070 # file ctoline2 1071 "2.L2(49)", "2.L2(49).2_1", "2.L2(49).2_2", "2.L2(81)", "2.L2(81).2_1", 1072 "2.L2(81).2_2", "2.L2(81).4_1", "L2(49)", "L2(49).2_1", "L2(49).2_2", 1073 "L2(49).2_3", "L2(49).2^2", "L2(81)", "L2(81).2_1", "L2(81).2_2", 1074 "L2(81).2_3", "L2(81).2^2", "L2(81).4_1", "L2(81).4_2", "L2(81).(2x4)", 1075 # file ctoline3 1076 "12_1.L3(4)", "12_1.L3(4).2_1", "12_1.L3(4).2_2", "12_1.L3(4).2_3", 1077 "12_2.L3(4)", "12_2.L3(4).2_1", "12_2.L3(4).2_2", "12_2.L3(4).2_3", 1078 "2.L3(4)", "2.L3(4).2_1", "Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2", 1079 "Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3", "Isoclinic(2.L3(4).2_3)", 1080 "2.L3(4).(2^2)_{123}", "2.L3(4).(2^2)_{1*23}", "2.L3(4).(2^2)_{12*3}", 1081 "2.L3(4).(2^2)_{123*}", "2.L3(4).(2^2)_{1*2*3}", "2.L3(4).(2^2)_{1*23*}", 1082 "2.L3(4).(2^2)_{12*3*}", "2.L3(4).(2^2)_{1*2*3*}", "2^2.L3(4)", 1083 "(2x4).L3(4)", "4^2.L3(4)", "(4^2x3).L3(4)", "3.L3(4)", "3.L3(4).2^2", 1084 "3.L3(4).2_1", "3.L3(4).2_2", "3.L3(4).2_3", "3.L3(4).3", "3.L3(4).6", 1085 "4_1.L3(4)", "4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2", 1086 "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", "4_1.L3(4).2_3*", 1087 "4_1.L3(4).(2^2)_{123}", "4_1.L3(4).(2^2)_{1*23}", 1088 "4_1.L3(4).(2^2)_{12*3}", "4_1.L3(4).(2^2)_{123*}", 1089 "4_1.L3(4).(2^2)_{1*2*3}", "4_1.L3(4).(2^2)_{1*23*}", 1090 "4_1.L3(4).(2^2)_{12*3*}", "4_1.L3(4).(2^2)_{1*2*3*}", "4_2.L3(4)", 1091 "4_2.L3(4).2_1", "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2", 1092 "4_2.L3(4).2_2*", "4_2.L3(4).2_3", "Isoclinic(4_2.L3(4).2_3)", 1093 "4_2.L3(4).(2^2)_{123}", "4_2.L3(4).(2^2)_{1*23}", 1094 "4_2.L3(4).(2^2)_{12*3}", "4_2.L3(4).(2^2)_{123*}", 1095 "4_2.L3(4).(2^2)_{1*2*3}", "4_2.L3(4).(2^2)_{1*23*}", 1096 "4_2.L3(4).(2^2)_{12*3*}", "4_2.L3(4).(2^2)_{1*2*3*}", "6.L3(4)", 1097 "6.L3(4).2_1", "Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2", 1098 "Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", "Isoclinic(6.L3(4).2_3)", 1099 "6.L3(4).(2^2)_{123}", "6.L3(4).(2^2)_{1*23}", "6.L3(4).(2^2)_{12*3}", 1100 "6.L3(4).(2^2)_{123*}", "6.L3(4).(2^2)_{1*2*3}", "6.L3(4).(2^2)_{1*23*}", 1101 "6.L3(4).(2^2)_{12*3*}", "6.L3(4).(2^2)_{1*2*3*}", "(2x12).L3(4)", "L3(4)", 1102 "L3(4).2^2", "U4(3).(2^2)_{133}M6", "L3(4).2_1", "L3(4).2_2", "L3(4).2_3", 1103 "L3(4).3", "L3(4).3.2_2", "L3(4).3.2_3", "L3(4).6", "L3(4).D12", 1104 "(2^2x3).L3(4)", "(2^2x3).L3(4).2_1", "(2^2x3).L3(4).2_2", 1105 "(2^2x3).L3(4).2_3", "(2^2x3).L3(4).3", "2^2.L3(4).2_1", "2^2.L3(4).2_2", 1106 "2^2.L3(4).2_3", "2^2.L3(4).3", "2^2.L3(4).3.2_2", "2^2.L3(4).3.2_3", 1107 "3.L3(4).3.2_2", "2^2.L3(4).2^2", "2^2.L3(4).6", "2^2.L3(4).D12", 1108 # file ctoline4 1109 "2.L3(2)", "2.L3(2).2", "Isoclinic(2.L3(2).2)", "2F4(2)'M2", "3.L3(7)", 1110 "3.L3(7).2", "3.L3(7).3", "3.L3(7).S3", "L3(2)", "L3(2).2", "L3(3)", 1111 "L3(3).2", "G2(3)M6", "L3(5)", "L3(5).2", "L3(7)", "L3(7).2", "L3(7).3", 1112 "L3(7).S3", "L3(8)", "L3(8).2", "L3(8).3", "L3(8).6", "ONM2", 1113 # file ctoline5 1114 "2.L4(3)", "2.L4(3).2_1", "2.L4(3).2_2", "2.L4(3).2_3", "L3(9)", 1115 "L3(9).2_1", "L3(9).2_2", "L3(9).2_3", "L3(9).2^2", "L4(3)", "L4(3).2_1", 1116 "L4(3).2_2", "L4(3).2_3", "L4(3).2^2", "L5(2)", "L5(2).2", "L6(2)", 1117 "L6(2).2", 1118 # file ctoline6 1119 "L4(4)", "L4(4).2_1", "L4(4).2_2", "L4(4).2_3", "L4(4).2^2", "L7(2)", 1120 "L7(2).2", "L5(3)", "L5(3).2", 1121 # file ctoline7 1122 "L2(37)", "L2(41)", "L2(43)", "L2(47)", "L2(53)", "L2(59)", "L2(61)", 1123 "L2(64)", "L2(64).6", "L2(67)", "L2(71)", "L2(73)", "L2(79)", "L2(83)", 1124 "L2(89)", "L2(97)", "L2(101)", "L2(103)", "L2(107)", "L2(109)", "L2(113)", 1125 "L2(121)", "L2(125)", 1126 # file ctoline8 1127 "L4(5)", "2.L4(5)", "4.L4(5)", "L4(9)", 1128 # file ctoline9 1129 "L8(2)", "L3(11)", 1130 # file ctomathi 1131 "12.M22", "12.M22.2", "Isoclinic(12.M22.2)", "2.M12", "2.M12.2", 1132 "Isoclinic(2.M12.2)", "2.M22", "2.M22.2", "Isoclinic(2.M22.2)", "3.M22", 1133 "3.M22.2", "4.M22", "4.M22.2", "Isoclinic(4.M22.2)", "6.M22", "6.M22.2", 1134 "Isoclinic(6.M22.2)", "HNM12", "HSM9", "M11", "M12", "M12.2", "M12M2", 1135 "M22", "M22.2", "M23", "M24", "McLM3", "3.McLM3", "ONM11", "2.A12M8", 1136 # file ctomax10 1137 "3^7.O7(3):2", "2^(3+12).(L3(2)xA6)", "2^(6+8).(S3xA8)", 1138 "3^2.3^4.3^8.(A5x2A4).2", "S3xO8+(3):S3", "3^(1+10):(2xU5(2):2)", 1139 "2^2.U6(2):S3x2", "2^(1+12)_+.3_1.U4(3).2^2_{122}", 1140 "3^3.[3^10].(L3(3)x2^2)", "3^2.3^4.3^8.(S5x2S4)", "S4xO8+(2):S3", 1141 "2^(3+12).(L3(2)xS6)", "2^(7+8).(S3xA8)", "(S3xS3xG2(3)):2", "S5xS9", 1142 "S6xL2(8):3", "7:6xS7", "7^(1+2)_+:(6xS3).2", 1143 # file ctomax11 1144 "13:3", "19:3", "31:3", "37:3", "43:3", "73:3", "91:3", "133:3", "31:5", 1145 "109:54", "113:56", "D14", "D110", "D114", "D122", "D126", "S6x2", "S7x2", 1146 "S8x2", "S9x2", "S10x2", "S11x2", "S5xS3", "S7xS3", "S8xS3", "S9xS3", 1147 "S10xS3", "S4xS4", "S5xS4", "S6xS4", "S7xS4", "S8xS4", "S9xS4", "S6xS5", 1148 "S7xS5", "S8xS5", "S7xS6", "(A10x3):2", "(A9xA4):2", "(A8xA5):2", 1149 "(A7xA6):2", "D62x2", "S3xL2(8)", "5xA5", "3xL2(8)", 1150 "5xIsoclinic(2.A6.2_2)", "3xU4(2)", "3^(1+2)+:2A4", "S3x3^(1+2)+:2A4", 1151 "3x2S5", "7:3x3", "M10x2", "L2(8):3x2", "2^2xA6", "2^2.L3(4)M4", 1152 "2^2.L3(4)M5", "2^2xL2(7)", "2^2.L3(4)M7", "2^2.L3(4)M8", "A4x7:3", 1153 # file ctomax12 1154 "2^4:A5", "L3(4)M4", "L3(4)M5", "L3(4)M7", "L3(4)M8", "2xA6", "2.L3(4)M4", 1155 "2.L3(4)M5", "2xL3(2)", "2.L3(4)M7", "2.L3(4)M8", "Isoclinic(2x3^2:Q8)", 1156 "4_1.2^4:A5", "4_2.2^4:A5", "3x2^4:A5", "3.L3(4)M4", "3.L3(4)M5", 1157 "3.L3(4)M7", "3.L3(4)M8", "3^(1+2)_+:Q8", "3x2^5.A5", "6xL3(2)", 1158 "6.L3(4)M7", "6.L3(4)M8", "Isoclinic(2x3^(1+2)_+:Q8)", "3x4_1.2^4:A5", 1159 "3x4_2.2^4:A5", "3^(1+4)_+.2S4", "2(A4xA4).2^2", "U4(3)M3", "U4(3)M9", 1160 "U4(3)M12", 1161 # file ctomax13 1162 "2.A6M2", "3^2:8", "2.A6M5", "3xA5", "3.A6M2", "3xSymm(4)", "3.A6M5", 1163 "3x2.A5", "6.A6M2", "3x2.Symm(4)", "6.A6M5", "2.A4x3", "(2.A4x3).2", 1164 "3xL3(2)", "3xA5.2", "3.(A4x3):2", "3x2.L3(2)", "3xIsoclinic(2.A5.2)", 1165 "(2.A5x3).2", "2.A6x3", "(2.A6x3).2_1", "2.A9M5", "2.(A5xA4).2", 1166 "(2x3^3).S4", "3^2:2A4", "U3(8)M4", "U3(8)M5", "2x3^2:2A4", "A7x3", 1167 "(A7x3).2", "2.A7x3", "(2.A7x3).2", "(A5xA5):4", "2.(A5xA5).4", 1168 "(A6xA4).2", "2.(A6xA4).2", "A8x3", "(A8x3).2", "(2.A8x3).2", "(A7xA4):2", 1169 "2.(A7xA4).2", "(A6xA5):2", "2.(A6xA5).2", "A9x3", "(A9x3):2", "2.A9x3", 1170 "(2.A9x3).2", "7^(1+2).Sp(2,7)", 1171 # file ctomax14 1172 "[2^30].L5(2)", 1173 # file ctomax15 1174 "2^(9+16).S8(2)", 1175 # file ctomax16 1176 "[2^35].(S5xL3(2))", 1177 # file ctomax17 1178 "2^(2+10+20).(M22.2xS3)", 1179 # file ctomax18 1180 "3^(1+12):6.Suz.2", "3^12.6.Suz.2", "3^(1+12).2.Suz.2", "5^(1+6):2.J2.4", 1181 "(7:3xHe):2", "(A5xA12):2", "5^(3+3).(2xL3(5))", "(A6xA6xA6).(2xS4)", 1182 "(A5xU3(8):3):2", "5^(2+2+4):(S3xGL2(5))", "(L3(2)xS4(4):2).2", 1183 "(5^2:[2^4]xU3(5)).S3", "(L2(11)xM12):2", "(A7x(A5xA5):2^2):2", 1184 "5^4:(3x2.L2(25)).2", "7^(2+1+2):GL2(7)", "M11xA6.2^2", "(S5xS5xS5):S3", 1185 "(L2(11)xL2(11)):4", "13^2:2.L2(13).4", "(7^2:(3x2A4)xL2(7)).2", 1186 "(13:6xL3(3)).2", 1187 # file ctomax19 1188 "3^3:L3(3)", "L4(3)M4", "3^4:2(A4xA4).2", "(4xA6):2", "(3x2S5).2", 1189 "O8+(2)M2", "O8+(2)M3", "O8+(2)M5", "O8+(2)M6", "O8+(2)M8", "O8+(2)M9", 1190 "(3xU4(2)):2", "O8+(2)M11", "O8+(2)M12", "2^(1+8)_+:(S3xS3xS3)", 1191 "3^4:2^3.S4(a)", "2x2.S6(2)", "2^2.O8+(2)M2", "2^2.O8+(2)M3", 1192 "(2x2^(1+6)_+).A8", "2^2.O8+(2)M5", "2^2.O8+(2)M6", "2x2.A9", 1193 "2^2.O8+(2)M8", "2^2.O8+(2)M9", "2x(3x2.U4(2)):2", "2^2.O8+(2)M11", 1194 "2^2.O8+(2)M12", "2^2.(2^(1+8)_+:(S3xS3xS3))", "(2^2x3^4).2^3.S4", 1195 "(2x2.(A5xA5)):2^2", "2^2.O8+(2)M16", "2^2.O8+(2)M17", "(4^2x2)(2xS4)", 1196 "(4^2x2)S4", "(4^2x3):S3", "(7:3x3):2", "(7xL2(7)):2", "(9x3).S3", 1197 "(A5xA5):2^2", "S4(4).2M7", "O8+(2)M16", "O8+(2)M17", "2.O8+(2)M3", 1198 "2.O8+(2)M6", "2xA9", "2.O8+(2)M9", "2x(3xU4(2)):2", "(3x2.U4(2)):2", 1199 "2.O8+(2)M12", "2.2^(1+8)_+:(S3xS3xS3)", "(2x3^4:2^3).S4", "(A5xA5).(2x4)", 1200 "2.(A5xA5).2^2", "2.O8+(2)M17", "(A8xA4):2", "(A7xA5):2", "(S3xS3xA5):2", 1201 "2^{3+6}:(L3(2)x3)", "2^{1+8}_+:(S3xA5)", "10^2:S3", "11^(1+2)+:40", 1202 "11^2:(5x2L2(11).2)", "11^2:60", "2(A4xA4).4.2", "2(A4xA4).4.2^2", 1203 "2(L2(11)x2).2", "2(L2(7)x4).2", "2.(2.(A4xA4).2.2)", "2.(2^5:S6)", 1204 "2x3^(1+2)_+:2S4", "2.(3^3:(S4x2))", "2.(S3xS6)", "2.(S6x2)", 1205 "2.2^6.L3(2)", "D108", "D112", "2^(1+4)+.(S3xS3)", "2^(1+8)+:L2(8)", 1206 "2^(2+4):(3xD10)", "2^(2+4):15", "2^(3+6):21", "2^2.(3^2:2A4)", 1207 "2^2.(3^2:Q8)", "2^2.(3^2:Q8.2)", "7:3xS4", "D8xL3(2)", 1208 "2^2.[2^6].(S3xS3)", "2^2.S6", "2^3.L3(2):2", "2^6:(3xA5)", "S4(4)M2", 1209 "2^6:(3xA5):2", "S4(4).2M3", "2^6:(7xL2(8))", "2^6:3^3:S4", "2S5.2", 1210 "3^(1+2)+.2S4", "3^(1+2)+:2S4", "3^(1+4)+.2^(1+4)-.S3", "3^(1+4)+.4S4", 1211 "3^(2+4):80", "3^2.(3x3^(1+2)+):D8", "3^3:S4`", "3^4:(2xA6)", "3^4:2^3.S4", 1212 "3^4:GL2(9)", "4(A4xA4).4", "5^(1+2)+:24", "5^(1+2)+:4A5", "5^(1+2)+:8", 1213 "5^2:S3", "5^3:(2xA5).2", "5^3:62", "6^2:D12", "6^2:S3", "7^(1+2):48", 1214 "7^2:2A4", "7^2:S3", "8^2:S3", 1215 # file ctomax20 1216 "2^(1+8)_+:U4(2)", "U6(2)M5", "U6(2)M6", "U6(2)M9", "U6(2)M10", "U6(2)M12", 1217 "U6(2)M13", "3^(1+4).2^(1+1+2+2).S3", "2.2^(1+8)_+:U4(2)", "2.U6(2)M6", 1218 "2.2^(4+8):(S3xA5)", "2.U6(2)M9", "2.U6(2)M10", "2xM22", "2.U6(2)M13", 1219 "2xS3xU4(2)", "2.(3^(1+4).[2^7.3])", "3x2^(1+8)_+:U4(2)", "3.U6(2)M5", 1220 "3.U6(2)M6", "3x2^(4+8):(S3xA5)", "3xS6(2)", "3.U6(2)M9", "3.U6(2)M10", 1221 "3.U6(2)M12", "3.U6(2)M13", "3xS3xU4(2)", "3.(3^(1+4).[2^7.3])", 1222 "3x2.2^(1+8)_+:U4(2)", "6.U6(2)M6", "3x2.2^(4+8):(S3xA5)", "6xS6(2)", 1223 "6.U6(2)M9", "6.U6(2)M10", "2x3.M22", "6.U6(2)M13", "6xS3xU4(2)", 1224 "6.(3^(1+4).[2^7.3])", "2^2xU5(2)", "2^2.2^(1+8)_+:U4(2)", "2^2.U6(2)M5", 1225 "2^2.U6(2)M6", "2^2.2^(4+8):(S3xA5)", "2^2xS6(2)", "2^2.U6(2)M9", 1226 "2^2.U6(2)M10", "2x2.M22", "2^2.U6(2)M12", "2^2.U6(2)M13", "2^2xS3xU4(2)", 1227 "2^2x3xU5(2)", "3x2^2.2^(1+8)_+:U4(2)", "2x6_1.U4(3).2_2", 1228 "(2^2x3).U6(2)M5", "(2^2x3).U6(2)M6", "3x2^2.2^(4+8):(S3xA5)", 1229 "2^2x3xS6(2)", "(2^2x3).U6(2)M9", "(2^2x3).U6(2)M10", "2x6.M22", 1230 "(2^2x3).U6(2)M12", "(2^2x3).U6(2)M13", "2^2x3xS3xU4(2)", 1231 "(2^2x3).(3^(1+4).[2^7.3])", 1232 # file ctomax21 1233 "3^5:U4(2):2", "O7(3)M5", "3^(3+3):L3(3)", "O7(3)M8", "O7(3)M11", 1234 "(2^2xU4(2)):2", "(A4x2(A4xA4).2).2", "(2x3^5).U4(2).2", "2xG2(3)", 1235 "2.O7(3)M5", "2x3^(3+3):L3(3)", "2.O7(3)M8", "2.O7(3)M9", "2.O7(3)M11", 1236 "2.(2^2xU4(2)).2", "2^(1+6)_+:A7", "2.(S6xS4)", "2.(A4x2(A4xA4).2).2", 1237 "3.3^5:U4(2):2", "3xL4(3).2_2", "3.O7(3)M5", "3.(3^(3+3):L3(3))", 1238 "3.O7(3)M8", "3.O7(3)M9", "3xS9", "3.O7(3)M11", "3x(2^2xU4(2)):2", 1239 "2^6:3A7", "3xS6xS4", "3.(A4x2(A4xA4).2).2", "6.(3^5:U4(2):2)", 1240 "3x2.L4(3).2_2", "2x3.G2(3)", "6.O7(3)M5", "2x3.(3^(3+3):L3(3))", 1241 "3x2.S6(2)", "6.O7(3)M8", "6.O7(3)M9", "3xIsoclinic(2.A9.2)", "6.O7(3)M11", 1242 "3x2.(2^2xU4(2)).2", "2^(1+6)_+:3A7", "3x2.(S6xS4)", "6.(A4x2(A4xA4).2).2", 1243 "3^6:(L4(3)x2)", "L4(3)x2", "3^6:2U4(3).2_1", "2^8:O8+(2):2", 1244 "2^8:O8-(2):2", "3xU3(3).2", "3.G2(3)M2", "3.(3^(1+2)+x3^2):2S4", 1245 "3.G2(3)M4", "3.G2(3)M6", "3xL2(8).3", "3x2^3.L3(2)", "3xL2(13)", 1246 "3.2^(1+4)+:3^2.2", "2.2^(4+6).(A5x3)", "Isoclinic(2xU3(4).2)", 1247 "Isoclinic(2xU3(3).2)", "2.A5xA5", "U3(5)M2", "U3(5)M3", "U3(5)M6", 1248 "U3(5)M7", "3.U3(5)M2", "3.U3(5)M3", "3x5^(1+2)_+:8", "3.U3(5)M6", 1249 "3.U3(5)M7", "2.2^(3+3):7", "2x13:4", "2^2.2^(3+3):7", "2^2x13:4", 1250 "2^2xD14", "L3(7)M2", "L3(7)M4", "L3(7)M5", "3x7^2:2.L2(7).2", "3.L3(7)M2", 1251 "3xL3(2).2", "3.L3(7)M4", "3.L3(7)M5", "3x19:3", "2.(A6xA6).2^2", 1252 "2.(A8xA4).2", "2.(A7xA5).2", "2.2^5.S6", "2^(1+6)_-.3^3.S4", 1253 "2.3^4.2^3.S4", "2.(2^4:A5)", "2x3^(1+2)+:2A4", "(2x3^3).S4`", 1254 "2.(2.(A4xA4).2)", "3xF4(2)", "3.2E6(2)M4", "3.2E6(2)M5", "3.2E6(2)M8", 1255 "3.2E6(2)M9", "6xF4(2)", "3x2.F4(2)", "6.2E6(2)M5", "6x2.F4(2)", 1256 "(2^2x3).2E6(2)M4", "(2^2x3).2E6(2)M5", "2x3.Fi22", "6.2E6(2)M9", 1257 "2x6.Fi22", "(2^2x3).2E6(2)M8", "(2^2x3).2E6(2)M9", 1258 # file ctomax22 1259 "2.D12", "2.D14", "D16", "2.D16", "D18", "2.D18", "2.D20", "D22", "2.D22", 1260 "2.D24", "D26", "2.D26", "D28", "2.D28", "D30", "2.D30", "D32", "2.D32", 1261 "(2x29).14", "2x31:15", "3^3:13", "2x3^3:13", "5^2:12", "(2x5^2).12", 1262 "L2(25)M3", "2.L2(25)M3", "2x23:11", "2x19:9", "(2x17).8", "(2x13).6", 1263 "6.A6M3", "6.(A4x3).2", "127:7", 1264 # file ctomaxi1 1265 "2^4:s5", "2.M22M5", "2.S4", "23:11", "2^3:sl(3,2)", "2^4:(3xA5).2", 1266 "2^4:a6", "2.M22M2", "3.M22M2", "4.M22M2", "6.M22M2", "12.M22M2", 1267 "2^4:3.S6", "2^4:a7", "3.2^4:a7", "3.McLM10", "2xA7", "2x(3.A7)", 1268 "2.(2xA7)", "2.(2x3.A7)", "3x2^4:s5", "4.M22M5", "3x2.M22M5", "3x4.M22M5", 1269 "2x2^3:L3(2)", "2x2^3:L3(2)x2", "(2xA6).2^2", "3x2^3:L3(2)", "4.M22M6", 1270 "6x2^3:L3(2)", "3x4.M22M6", "(4xA6).2_3", "6.M22M7", "12.M22M7", 1271 "2xL2(11)", "2xL2(11).2", "3xL2(11)", "2.(2xL2(11))", "6xL2(11)", 1272 "3x2.(2xL2(11))", "McLM10", "2^4:a8", "2^6:(psl(3,2)xs3)", "2^6:3.s6", 1273 "2xS5", "3^2.2.S4", "4^2:D12", "4^2:D12.2", "A4xS3", "M12M7", "M22.2M4", 1274 "M8.S4", "S4xS3", "2xM11", "2.HSM9", "2.M12M2", "2.A11M7", "2.M12M4", 1275 "2x3^2.2.S4", "2.M12M7", "2.M12M8", "2.M12M9", "2.M12M10", "2.A4xS3", 1276 # file ctomaxi2 1277 "(2^2xSz(8)):3", "(3^2:4xa6).2", "(3^2:4x2.A6).2", "(3xG2(3)):2", 1278 "(D10xU3(5)).2", "(a4xpsl(3,4)):2", "2.(A4xL3(4)).2", "(a6xa5).2", 1279 "2.(2^2xSz(8)):3", "2.2.2^4+6:S5", "2xA8", "2.2^3+8:L3(2)", "2.2^4+6:S5", 1280 "2.2^6:u3(3):2", "2.RuM1", "2^(1+8).(A5xA5).2", "2^1+6.psl(3,2)", 1281 "2^1+6.u4q2", "2.SuzM4", "2^1+8.a9", "2^1+8.2.A9", "2^2+8(a5xs3)", 1282 "2.SuzM9", "(2xL3(3)).2", "2^2.psl(3,4).s3", "2^3+8:L3(2)", 1283 "2^3.2^2.2^6.(3xL3(2))", "2^4+6:3a6", "2.SuzM7", "2^4.s6", "U4(3).2_1M10", 1284 "2^5.S6", "2.2^4.S6", "2^4.(S4x2)", "2^5.psl(5,2)", "2^6.U4(2)", 1285 "2^6.U4(2).2", "2^6:u3(3):2", "2xa6.2^2", "U4(3).(2^2)_{133}M11", 1286 "U4(3).(2^2)_{133}M12", "(2xA6.2^2).2", "2.HSM11", "3.3^(1+4):2S5", 1287 "3.3^(1+4):4S5", "2^(1+3):L3(2)", "2^(2+4):(3x3):2", "3.2^(2+4):(3x3):2", 1288 "2^(1+1+2+2):S3", "2^(2+4).S3", "2^(2+4).(S3x2)", "3.ONM5", "31:15", 1289 "31:30", "37:18", "47:23", "3^(1+4):2S5", "3^(1+4):4A5", "3^(1+4):4S5", 1290 "3^(1+6):2^(3+4):3^2:2", "3^(1+6)_+:2^(3+4):(S3xS3)", "3^(2+4):2A5.D8", 1291 "3^2+4:2(2^2xa4)2", "3^4:2(A4xA4).4", "3^4:m10", "3.3^4:m10", "3^4.3^2.Q8", 1292 "3.3^4.3^2.Q8", "3xL3(4).2_2", "3x2.A8", "3xM11", "3x5^(1+2):3:8", 1293 "3^5:2S6", "3^5:M11", "3^6.M11", "3x2.SuzM4", "2x3^6.M11", "3x2.J2.2", 1294 "3x2.SuzM7", "3x2.SuzM9", "3xIsoclinic(2.M12.2)", "4.2^4.S5", 1295 "2^(1+6)_+:S5", "2.HSM10", "4.2^4:(2xS3)", "4.2^4", "S4x2^2", "4.2^4:S4", 1296 "J1x2", "7^(1+2)_+:(3xD16)", "4^3.L3(2)", "(3^2:4xA6).2^2", 1297 "4^3.(L3(2)x2)", "4^3:psl(3,2)", "4^3:(L3(2)x2)", "2.4^3.L3(2)", "4^3:S4", 1298 "5:4xa5", "5:4xS5", "5:4x2.A5", "5:4xA4", "5:4x2^2", "A4xC4", "D8xV4", 1299 "5^(1+4):2^(1+4).5.4", "5^(1+4):4S6", "5^2.5.5^2.4A5", "5^2:4s5", 1300 "2xU3(5).2", "L2(25).(2x4)", "2x5^2:4S5", "3.A6.(2x4)", 1301 "Isoclinic(L2(13).2x2)", "5^3.psl(3,5)", "67:22", "7:3xpsl(3,2)", 1302 "7^2:(3x2S4)", "7^2:2psl(2,7)", "LyM6", "ONM5", "ThM7", "ThN3B", 1303 "s4xpsl(3,2)", "2^(1+6)_+.L3(2).2", "S4xL3(2).2", "7:6xL3(2)", 1304 "2^(1+6)_-.U4(2).2", "3^5:(M11x2)", "J2.2x2", "2^(4+6):3S6", 1305 "(A4xL3(4):2_3):2", "2^(2+8):(S5xS3)", "M12.2x2", "3^(2+4):2(S4xD8)", 1306 "(A6:2_2xA5).2", "(3^2:8xA6).2", "3xG2(4)", "3x2.G2(4)", "2xU5(2)", 1307 "3xU5(2)", "3x2^(1+6)_-.U4(2)", "3xJ2.2", "3x2^(4+6).3A6", 1308 "(A4x3.L3(4)).2", "3x2^(2+8):(A5xS3)", "3xM12.2", "3.3^(2+4):2(A4x2^2).2", 1309 "(3.A6xA5):2", "(3^(1+2):4xA6).2", "3xL3(3).2", "3xL2(25)", "(3xG2(4)).2", 1310 "(3xU5(2)).2", "(3x2^(1+6)_-.U4(2)).2", "3^6:(M11x2)", "S3xJ2.2", 1311 "(3x2^(4+6):3A6).2", "(A4x3.L3(4).2_3).2", "(3x2^(2+8):(A5xS3)).2", 1312 "S3xM12.2", "3.3^(2+4):2(S4xD8)", "(3.A6.2_2xA5):2", "(3^(1+2):8xA6).2", 1313 "(3xL2(25)).2_2", "3^4:(M10x2)", "2x3^5:M11", "2.SuzM11", "6.SuzM8", 1314 "6.SuzM11", "3x(2xL3(3)).2", "3x2.L2(25)", "(3^(1+2):4x2.A6).2", 1315 "(A6x2.A5).2", "(3.A6x2.A5).2", "Isoclinic(S8x2)", "Isoclinic(U3(5).2x2)", 1316 "2.HSM3", "2^(1+8)_+.(A5xA5).2^2", "5:4xU3(5):2", 1317 "5^(1+4)_+:(4Y2^(1+4)_-.5.4)", "(S6xS6).2^2", "2^3.2^2.2^6.(S3xL3(2))", 1318 "5^2.5.5^2.4S5", "3^4:2(S4xS4).2", "HN.2M13", 1319 # file ctomaxi3 1320 "(A4xG2(4)):2", "(A5xJ2):2", "(A6xU3(3)):2", "(A7xL2(7)):2", 1321 "(D10x(A5xA5).2).2", "2.2^11:M24", "2^(1+8)+.O8+(2)", "2^(2+12):(A8xS3)", 1322 "2^(4+10)(S5xS3)", "2^(4+12).(S3x3S6)", "2^1+4+6.a8", "2^1+8:s6f2", 1323 "2^10:m22:2", "2^11:M24", "2^2.(2^7.3^2).s3", "2^4.a8", "2xm12", 1324 "3^(3+4):2(S4xS4)", "3^1+4:2^1+4.s5", "3^1+4:4s6", "3^5:(2xm11)", 1325 "3^6:2M12", "5^(1+2):GL2(5)", "5^2:2A5", "5^3:(4xA5).2", "A9xS3", "a4xs5", 1326 "s3xpsl(2,8).3", 1327 # file ctomaxi4 1328 "(2^2x2^(1+8)).(3xU4(2)).2", "(3xO8+(3):3):2", "(A4xO8+(2).3).2", 1329 "(A5xA9):2", "29:14", "2^(5+8):(S3xA6)", "2^(6+8):(A7xS3)", "2x3.O7(3)", 1330 "6.Fi22M3", "2xO7(3)", "2.Fi22M3", "3^(1+8).2^(1+6).3^(1+2).2S4", "7:6xA7", 1331 "A6xL2(8):3", "Fi23M8", "S3xO7(3)", "S3xU4(3).(2^2)_{122}", 1332 "2xS3xU4(3).(2^2)_{122}", "S3x2.U4(3).2_2", "2xS3x2.U4(3).2_2", 1333 "S3xU4(3).2_2", "2xS3xU4(3).2_2", "S4xS6(2)", "O8+(2):S3x2", "3xO8+(2):S3", 1334 "6xO8+(2):S3", "2x2.U4(3).2_2", "2^2.U4(3).(2^2)_{122}", 1335 "2xU4(3).(2^2)_{122}", "3x2.U4(3).(2^2)_{122}", "(S3x2.U4(3).2_2).2", 1336 "(2x2^(1+8)):U4(2):2", "(2x2^(1+8)):(U4(2):2x2)", "2.(2x2^(1+8)):U4(2):2", 1337 "3x(2x2^(1+8)):U4(2):2", "3.(2x2^(1+8)):(U4(2):2x2)", "Fi22.2M4", 1338 "2.(3^(1+6):2^(3+4):3^2:2)", "2^12.3_1.U4(3).2_2'", 1339 "2^(1+12).3_1.U4(3).2_2'", "2^12.3^2.U4(3).2_2'", "3.2^(1+12).3U4(3).2", 1340 "3^3.[3^10].GL3(3)", "2^12.M24", "3xFi23", "2^(5+8):(S3xS6)", 1341 "3^5:(2xU4(2).2)", 1342 # file ctomaxi5 1343 "2.[2^6]:(S3xS3)", "2^5:S6", "2^6:L3(2)", "S3xS6", "(2^6x2^8):S6(2)", 1344 "(2^(1+8)x2^6):S6(2)", "F4(2)M2", "3^6:L3(3)", "3^(3+4):2(S4xA4)", 1345 "A4xU4(2)", "2.(A4xU4(2))", "2^(2+6):3^3:S3", "2xU3(3).2", 1346 # file ctomaxi6 1347 "(2x3.A6).2", "(2xL3(2)).2", "(3xM10):2", "11:10", "13:6", "19:18", "19:6", 1348 "2.J2M8", "2A4xA5", "2A5xD10", "(2.A5xD10).2", "2^(1+4).S5", 1349 "2^(2+4):(S3xS3)", "2^1+4b:a5", "2^2+4.3xs3", "2^{1+4}_-:2A5", 1350 "2^{3+4}:(3xS3)", "2xA5", "2xU3(3)", "37:12", "3^2.3^(1+2):8.2", 1351 "3x2^4:(3xA5)", "43:14", "5^2:D12", "7:6", "D6xD10", "(2^2xA5):2", 1352 "D8.(S4x2)", "F3+M7", "J4M4", "L2(17)x2", "a4xa5", "a5xd10", "c2aj4", 1353 "frob", "j3m4", "j3m6", "2^10:L5(2)", "mx1j4", "(A4xA5):2", "(A5xD10).2", 1354 "L3(2).2x2", 1355 # file ctomaxi7 1356 "3^5.U4(2)", "3.3^5.U4(2)", "C9Y3.3^5.U4(2)", "2^24.Co1", "2^1+24.Co1", 1357 "2^1+24.2.Co1", "2xF4(2)", "2^2xF4(2)", "2xF4(2).2", "(2^2xF4(2)):2", 1358 "2x2.F4(2)", "2^2.2E6(2)M4", "2^2.2E6(2)M5", "2.2E6(2)M5", "2E6(2)M4", 1359 "2E6(2)M5", "S3xFi22.2", "2xFi22", "2xFi22.2", "2x2.Fi22", "2^2.2E6(2)M8", 1360 "2^2.2E6(2)M9", "2.2E6(2)M9", "2E6(2)M8", "2E6(2)M9", "2^2.Fi22.2", 1361 "3x2.Fi22.2", "(S3x2.Fi22).2", "2xFi23", "2xTh", "S3xTh", 1362 "(3^2:D8xU4(3).2^2).2", "2x47:23", "41:40", "L3(3)xD8", "5:4xHS.2", 1363 "S4x2F4(2)'.2", "A5.2xM22.2", "5^2:4S4xS5", "3^(3+6):(L3(3)xD8)", 1364 "3^6.L4(3).D8", "2^2.(U3(3).2xS4)", "3^(1+8).2^(1+6).U4(2).2", 1365 "3^2.3^3.3^6.(S4x2S4)", "(S6xL3(4).2).2", "5^(1+4).2^(1+4).A5.4", 1366 "(S6xS6).4", "(D10xHN).2", "7^(1+4):(3x2.S7)", 1367 # file ctomaxi8 1368 "(3^(1+2)+x3^2):2S4", "G2(3)M4", "2^(1+4)+:3^2.2", "A5xA5", "2.(A5xA5).2", 1369 "2^(5+5):31", "41:4", "25:4", "D62", "D24", "D20", "S3xU4(2)", 1370 "2xU4(3).2_2", "2x3_1.U4(3).2_2", 1371 # file ctomaxi9 1372 "O8+(3)M14", "(A4xU4(2)):2", "O8+(3)M19", "O8+(3)M20", "O8+(3)M21", 1373 "O8+(3)M22", "O8+(3)M23", "(A6xA6):2^2", "O8+(3)M25", "O8+(3)M26", 1374 "(A4wr2^2):2", "O8+(3)M27", "2^8.A9", 1375 # file ctomisc1 1376 "2..11.m23", "2.2^8.f20", "2^10:(2^5:s5)", "2^2.2^8:s3", "2.[2^9]:5:4", 1377 "2^2.[2^9]:S3", "2^6:u3(3)", "2^{1+6}:3^{1+2}:2A4", "2^(4+4):(3xA5)", 1378 "3^4:S5", "3.s7x2", "4.s4", "4^2:s3", "A11Syl2", "a4", "2.L2(3)", "a5wc2", 1379 "S4(4)M6", "affine", "b33141", "bd10", "bd6", "bd8", "M22C2A", "M24C2B", 1380 "c3d2", "D120", "esp43t", "j2nd2", 1381 # file ctomisc2 1382 "2^10:m22", "2.Fi22M5", "3.Fi22M5", "6.Fi22M5", "2^6:s6f2", "f22s2", "g61", 1383 "g61s1", "g72x16", "ghh", "gl25", "group2", "group3", "group5", "group6", 1384 "gs4", "h4", "hed3", "hess", "hsd2", "m12d2", "mo61", "2^4:(S3xS3)", 1385 "mo62", "mo62p", "mo81", "2^6:A8", "2^(1+6)_+.A8", "ons1", "S3xU4(3)", 1386 # file ctomisc3 1387 "P1L62", "2^6:L6(2)", "P1L82", "P2L62", "2^10:(L5(2)xS3)", "P3L62", 1388 "2^12:(L4(2)xL3(2))", 1389 # file ctomisc4 1390 "P2L82", 1391 # file ctomisc6 1392 "L3(4)Syl2", "M23C2A", "U72CT", "pap", "V4", "Q8", "M24C2A", "s2wrs2", 1393 "s2wrs3", "s2wrs4", "s2wrs5", "s3wrs2", "s3wrs3", "s4", "A6M5", "s4wrs2", 1394 "s5wrs2", "S4wrS3", "S3wrS4", "2^6:S6", "A8.2N2", "s61p", "sl25ex", 1395 "suzd2", "suzdx", "suzs2", "twd5a", "w(d4)", "w(d5)", "w(f4)", 1396 # file ctomisc7 1397 "2^4:3^2:4", "2^6:3^(1+2).D8", "3^(1+4):4S4", "2^(4+4).(S3xS3).2", 1398 "2.2^(2+2).2^(1+1+2+2):S4", "2^(2+1+2).2^(1+1+2).2^2.S4", 1399 "2^(4+10).(S4xS3)", "5^(1+4):4.3^2:D8", "2^11.2^6.3^(1+2).D8", 1400 # file ctomisc8 1401 "2^12:Sz(8)", "2^10:M22'", "2^12:J2", 1402 # file ctomonst 1403 "2.B", "B", "M", 1404 # file ctonews 1405 "(3^2:2xG2(3)).2", "(3xA6).2_1", "(A6xA6).D8", "2.(A4xA4)", 1406 "2.2^(2+8).(3xA5)", "2F4(8)", "2^(1+6)_-3.3.3^2:2", "2^(2+8):(3xA5)", 1407 "2^(4+6):(A5x3)", "2^(4+8):(S3xA5)", "2^5:L5(2)", "2^6:U4(2)", 1408 "2^8:O8-(2)", "2^9.L3(4)", "2.U6(2)M3", "3.U6(2)M3", "6.U6(2)M3", 1409 "2^2.U6(2)M3", "(2^2x3).U6(2)M3", "2xS6(2)", "3.ONM6", "3^(1+4).2U4(2)", 1410 "3^(1+4).2U4(2).2", "3^3.S4", "3^3:A4", "3^4.2U4(2)", "3^4.2U4(2).2", 1411 "3^4:(2xA5)", "3^4:A6", "2x3^4:A6", "3^4:2.A6", "2.(2x3^4:A6)", 1412 "4.3^(1+4)_+.2S4", "3^2.(3^4:A6)", "3^2.(3^(1+4)_+.2S4)", "3^6:L4(3)", 1413 "O8+(3)M8", "O8+(3)M9", "3^7.O7(3)", "5^(1+4):GL(2,5)", "6xU5(2)", 1414 "7^2:2.L2(7).2", "A6.D8", "D8xL4(3).2_2", "M22.2M3", "O7(3).2x2", 1415 "O8-(3).2_1M4", "S4xU4(2).2", "O8-(3)M8", "2^6:U4(2).2", "(S3xS3):2xS5", 1416 "2^3.L3(2)", "S8(2)M3", "2^10.A8", "(S6xS6):2", "2^(3+8):(S3xS6)", 1417 "S3xS6(2)", "2^(6+6):(S3xL3(2))", "2^8:S6(2)", "2^6:S8", "2^(1+4).S3", 1418 "2x3.A6", "7^1+2.6", "M12C4", "1/2(8xS3)", "(2^2x3).2", "4.2^2", 1419 "(4xA6).2^2", "5^1+2.2A4", "13^1+2.2A4", "7^1+4.2A7", "7xL2(8)", 1420 "(7xL2(8)).3", "O7(3)N3A", "2^6:A7", "2^8:S8", "2^(1+8):S8", "2^6:S5", 1421 "L3(2)wr2", 1422 # file ctoorth1 1423 "2.O7(3)", "2.O7(3).2", "3.O7(3)", "3.O7(3).2", "6.O7(3)", "6.O7(3).2", 1424 "Fi22M3", "O7(3)", "O8+(3)M2", "O8+(3)M3", "O8+(3)M4", "O8+(3)M5", 1425 "O8+(3)M6", "O7(3).2", "O8-(3)M3", 1426 # file ctoorth2 1427 "2.O8+(2)", "2.O8+(2).2", "2^2.O8+(2)", "2^2.O8+(2).2", "2^2.O8+(2).3", 1428 "2^2.O8+(2).3.2", "O8+(2)", "O8+(3)M11", "O8+(3)M12", "O8+(3)M13", 1429 "O8+(2).2", "O8+(2).3", "O8+(2).3.2", "O8+(3)", "O8+(3).2_1", 1430 "O8+(3).2_1'", "O8+(3).2_1''", "O8+(3).2_2", "O8+(3).2_2'", "O8+(3).3", 1431 "O8+(3).3.2", "O8+(3).4", "O8+(3).(2^2)_{111}", "O8+(3).(2^2)_{122}", 1432 "O8+(3).D8", "O8+(3).A4", "O8+(3).S4", "2.O8+(3)", "2^2.O8+(3)", 1433 "2^2.O8+(3).3", 1434 # file ctoorth3 1435 "O10+(2)", "O10+(2).2", "O10-(2)", "O10-(2).2", "O8-(2)", "O8-(2).2", 1436 "O8-(3)", "2.O8-(3)", "O8-(3).2_1", "O8-(3).2_2", "O8-(3).2_3", 1437 "O8-(3).2^2", 1438 # file ctoorth4 1439 "O12-(2).2", 1440 # file ctoorth5 1441 "O12+(2).2", 1442 # file ctoorth6 1443 "O7(5)", "O7(5).2", "O9(3)", "2.O9(3)", 1444 # file ctoorth7 1445 "O10-(3)", "2.O10-(3)", 1446 # file ctoorth8 1447 "O8+(7)", "2.O8+(7)", 1448 # file ctospora 1449 "2.HS", "2.HS.2", "Isoclinic(2.HS.2)", "HS.2x2", "Isoclinic(2.HSx2)", 1450 "4.HS.2", "2.Ru", "2.Suz", "2.Suz.2", "Isoclinic(2.Suz.2)", "3.McL", 1451 "3.McL.2", "3.ON", "3.ON.2", "3.Suz", "3.Suz.2", "6.Suz", "6.Suz.2", 1452 "Isoclinic(6.Suz.2)", "F3+M14", "HN", "HN.2", "HS", "HS.2", "He", "He.2", 1453 "Ly", "McL", "McL.2", "ON", "ON.2", "Ru", "Suz", "Suz.2", "Th", 1454 # file ctosylno 1455 "(3^(1+2)x2).SD16", "(2x3^(1+2)_+:8):2", "11+^(1+2):(5x2S4)", "2.HS.2N5", 1456 "2^3.7.3", "2^4:D8", "2x(3^2.QD16)", "3^(1+2):8", "3^(1+2):D8", 1457 "3^(1+2):SD16", "3^2.3^(1+2):8", "3^2:Q8", "3^2:Q8.2", "3^4:(3^2:Q8)", 1458 "3^4:2^(1+4)D10", "3^4:2^(1+4).(5:4)", "3^5:(3^2:SD16)", "4^3.D8", 1459 "5^(1+2):(24:2)", "5^(1+2):(8.2)", "5^(1+2):3:8", "5^(1+2):4S4", 1460 "5^1+2:(2^5)", "5^2:(4xS3)", "5^2:4A4", "7^(1+2):(D8x3)", "7^(1+2):(S3x3)", 1461 "7^(1+2):(S3x6)", "7^2:(3x2A4)", "Co1N3", "Co3N2", "Co3N3", "Fi22N3", 1462 "Fi22N5", "HS.2N5", "HSN2", "J2N2", "J3N2", "LyN2", "LyN3", "LyN5", 1463 "M11N2", "M12N2", "M12N3", "M24N2", "McLN2", "RuN2", "(2^2xD14):3", 1464 "(2^2x13:4):3", "SuzN2", "ThN2", "2.HSN3", "5:4", "2x5:4", "5:4x3", "11:5", 1465 "2x11:5", "17:8", "17:16", "19:9", "(3xD10).2", "7:3xS3", "S3x7:6", 1466 "(A4xD10).2", "Co2N2", "3^(1+4)_+:(S3xQD16)", "Co2N7", "Co1N5", "F3+N5", 1467 "S4x5^2:4S4", "BN7", "11^2:(5x2.A5)", "13^(1+2):(3x4S4)", "13:4", "13:12", 1468 "2^(3+3):7", "2^(3+3):7:3", "7:6xA5.2", "HNN2", "[7^6]:(6x6)", 1469 # file ctosymp1 1470 "2.S4(5)", "2.S4(5).2", "2.S6(2)", "2.S6(3)", "2.S6(3).2", "S10(2)", 1471 "S4(4)", "S4(4).2", "S4(4).4", "S4(5)", "S4(5).2", "S6(2)", "S6(3)", 1472 "S6(3).2", "S8(2)", "F4(2)M4", 1473 # file ctosymp2 1474 "S4(7)", "S4(8)", "S4(7).2", "S4(9)", "S4(9).2_1", "S4(9).2_2", 1475 "S4(9).2_3", "S4(9).2^2", "S6(4)", "S6(4).2", "S6(5)", "S8(3)", 1476 # file ctosymp3 1477 "S12(2)", 1478 # file ctotwis1 1479 "2F4(2)'", "2F4(2)'.2", "3D4(2)", "3D4(2).3", 1480 # file ctotwis2 1481 "2.2E6(2)", "2.2E6(2).2", "2^2.2E6(2)", "2^2.2E6(2).2", "2^2.2E6(2).3", 1482 "2^2.2E6(2).3.2", "2E6(2)", "2E6(2).2", "2E6(2).3", "2E6(2).3.2", 1483 "3.2E6(2)", "3.2E6(2).2", "6.2E6(2)", "6.2E6(2).2", "(2^2x3).2E6(2)", 1484 "(2^2x3).2E6(2).2", 1485 # file ctounit1 1486 "12_1.U4(3)", "12_1.U4(3).2_1", "12_1.U4(3).2_2", "12_2.U4(3)", 1487 "12_2.U4(3).2_1", "12_2.U4(3).2_3", "2.U4(3)", "2.U4(3).2_1", 1488 "Isoclinic(2.U4(3).2_1)", "2.U4(3).2_2", "Isoclinic(2.U4(3).2_2)", 1489 "2.U4(3).2_2'", "Isoclinic(2.U4(3).2_2')", "2.U4(3).2_3", 1490 "Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", "Isoclinic(2.U4(3).2_3')", 1491 "2.U4(3).4", "2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{1*22}", 1492 "2.U4(3).(2^2)_{12*2}", "2.U4(3).(2^2)_{1*2*2}", "2.U4(3).(2^2)_{12*2*}", 1493 "2.U4(3).(2^2)_{1*2*2*}", "2.U4(3).(2^2)_{133}", "2.U4(3).(2^2)_{1*33}", 1494 "2.U4(3).(2^2)_{13*3}", "2.U4(3).(2^2)_{1*3*3}", "2.U4(3).(2^2)_{13*3*}", 1495 "2.U4(3).(2^2)_{1*3*3*}", "2.U4(3).D8", "O8+(3)M16", "O8+(3)M17", 1496 "3^2.U4(3)", "3^2.U4(3).2_3'", "3^2.U4(3).(2^2)_{133}", "3^2.U4(3).D8", 1497 "3_1.U4(3)", "3_1.U4(3).2_1", "3_1.U4(3).2_2", "3_1.U4(3).2_2'", 1498 "3_1.U4(3).(2^2)_{122}", "3_2.U4(3)", "3_2.U4(3).2_1", "3_2.U4(3).2_3", 1499 "3_2.U4(3).2_3'", "3_2.U4(3).(2^2)_{133}", "4.U4(3)", "4.U4(3).2_1", 1500 "4.U4(3).2_2", "4.U4(3).2_3", "4.U4(3).4", "6_1.U4(3)", "6_1.U4(3).2_1", 1501 "6_1.U4(3).2_2", "6_1.U4(3).2_2'", "6_2.U4(3)", "6_2.U4(3).2_1", 1502 "6_2.U4(3).2_3", "6_2.U4(3).2_3'", "Isoclinic(6_2.U4(3).2_3')", "U4(3)", 1503 "U4(3).(2^2)_{122}", "U4(3).(2^2)_{133}", "U4(3).2_1", "U4(3).2_2", 1504 "U4(3).2_2'", "U4(3).2_3", "U4(3).2_3'", "U4(3).4", "U4(3).D8", 1505 "(3^2x2).U4(3)", "(3^2x4).U4(3)", "(3^2x2).U4(3).2_3'", 1506 "Isoclinic((3^2x2).U4(3).2_3')", 1507 # file ctounit2 1508 "3.U3(5)", "3.U3(5).2", "3.U3(5).3", "3.U3(5).S3", "3.U3(8)", "3.U3(8).2", 1509 "3.U3(8).3_1", "3.U3(8).3_2", "3.U3(8).6", "3.U3(8).S3", "HSM3", "U3(3)", 1510 "U3(3).2", "G2(3)M2", "U3(4)", "U3(4).2", "U3(4).4", "U3(5)", "U3(5).2", 1511 "U3(5).3", "U3(5).3.2", "U3(7)", "U3(7).2", "U3(8)", "U3(8).2", 1512 "U3(8).3_1", "U3(8).3_2", "U3(8).3_3", "U3(8).6", "U3(8).S3", "U3(9)", 1513 "U3(9).2", "U3(9).4", 1514 # file ctounit3 1515 "2.U4(2)", "2.U4(2).2", "3.U3(11)", "3.U3(11).2", "3.U3(11).3", 1516 "3.U3(11).S3", "U3(11)", "U3(11).2", "U3(11).3", "U3(11).S3", "U4(2)", 1517 "U4(2).2", "U4(3).2_1M4", "U5(2)", "U5(2).2", 1518 # file ctounit4 1519 "2.U6(2)", "2.U6(2).2", "2^2.U6(2)", "2^2.U6(2).2", "2^2.U6(2).3", 1520 "2^2.U6(2).3.2", "3.U6(2)", "3.U6(2).2", "3.U6(2).3", "6.U6(2)", 1521 "6.U6(2).2", "U6(2)", "U6(2).2", "U6(2).3", "U6(2).3.2", "3.U6(2).3.2", 1522 "(2^2x3).U6(2)", "(2^2x3).U6(2).2", "(2^2x3).U6(2).3", 1523 # file ctounit5 1524 "U4(4)", "U4(4).4", "U4(5)", "U4(5).2_1", "U4(5).2_2", "U4(5).2_3", 1525 "U4(5).2^2", "U5(4)", "U5(4).2", "U5(3)", 1526 # file ctounit6 1527 "U7(2)", 1528 # file ctounit7 1529 "U6(4)",]; 1530MakeImmutable( LIBLIST.firstnames ); 1531 1532LIBLIST.files := [ 1533 89, 26, 7, 15, 91, 1, 10, 5, 84, 34, 65, 20, 106, 24, 18, 9, 23, 4, 2, 31, 1534 18, 60, 32, 48, 1, 1, 1, 1, 22, 120, 64, 111, 33, 64, 185, 28, 47, 13, 42, 1535 49, 14, 13, 29, 30, 7, 1, 30, 9, 3, 3, 79, 15, 30, 12, 1, 1, 4, 2, 2, 35, 1536 80, 16, 12, 1, 4, 16, 75, 33, 15, 19, 10, 1, 1, ]; 1537LIBLIST.filenames := Concatenation( List( [ 1 .. Length( LIBLIST.files ) ], 1538 i -> ListWithIdenticalEntries( LIBLIST.files[i], i ) ) ); 1539MakeImmutable( LIBLIST.filenames ); 1540 1541LIBLIST.files := [ 1542 "ctoalter", "ctoatres", "ctocliff", "ctoconja", "ctodefno", "ctoexce1", 1543 "ctofisc1", "ctofisc2", "ctoholpl", "ctoinert", "ctoline1", "ctoline2", 1544 "ctoline3", "ctoline4", "ctoline5", "ctoline6", "ctoline7", "ctoline8", 1545 "ctoline9", "ctomathi", "ctomax10", "ctomax11", "ctomax12", "ctomax13", 1546 "ctomax14", "ctomax15", "ctomax16", "ctomax17", "ctomax18", "ctomax19", 1547 "ctomax20", "ctomax21", "ctomax22", "ctomaxi1", "ctomaxi2", "ctomaxi3", 1548 "ctomaxi4", "ctomaxi5", "ctomaxi6", "ctomaxi7", "ctomaxi8", "ctomaxi9", 1549 "ctomisc1", "ctomisc2", "ctomisc3", "ctomisc4", "ctomisc6", "ctomisc7", 1550 "ctomisc8", "ctomonst", "ctonews", "ctoorth1", "ctoorth2", "ctoorth3", 1551 "ctoorth4", "ctoorth5", "ctoorth6", "ctoorth7", "ctoorth8", "ctospora", 1552 "ctosylno", "ctosymp1", "ctosymp2", "ctosymp3", "ctotwis1", "ctotwis2", 1553 "ctounit1", "ctounit2", "ctounit3", "ctounit4", "ctounit5", "ctounit6", 1554 "ctounit7", ]; 1555MakeImmutable( LIBLIST.files ); 1556 1557LIBLIST.fusionsource := [ 1558 [ # fusions to (2xA6).2_3 1559 "4.A6.2_3", "(4xA6).2_3", "6.M22M7", ], 1560 [ # fusions to 2.A10 1561 "Isoclinic(2.A8.2)", "2.A9", "M10x2", "(2.A7x3).2", "2.(A5xA5).4", 1562 "2.(A6xA4).2", "2^(1+4).S5", ], 1563 [ # fusions to 2.A10.2 1564 "2.A10", ], 1565 [ # fusions to Isoclinic(2.A10.2) 1566 ], 1567 [ # fusions to 2.A11 1568 "2.A10", "Isoclinic(2.A9.2)", "(2.A8x3).2", "2.(A7xA4).2", "2.(A6xA5).2", 1569 "2xM11", "2.A11M7", "LyN2", ], 1570 [ # fusions to 2.A11.2 1571 "2.A11", ], 1572 [ # fusions to Isoclinic(2.A11.2) 1573 ], 1574 [ # fusions to 2.A12 1575 "Isoclinic(2.A10.2)", "2.A11", "2.M12", "2.A12M8", "(2.A9x3).2", 1576 "2.(A6xA6).2^2", "2.(A8xA4).2", "2.(A7xA5).2", "2.2^5.S6", 1577 "2^(1+6)_-.3^3.S4", "2.3^4.2^3.S4", ], 1578 [ # fusions to 2.A12.2 1579 "2.A12", ], 1580 [ # fusions to Isoclinic(2.A12.2) 1581 ], 1582 [ # fusions to 2.A13 1583 ], 1584 [ # fusions to 2.A13.2 1585 "2.A13", ], 1586 [ # fusions to Isoclinic(2.A13.2) 1587 ], 1588 [ # fusions to 2.A14.2 1589 ], 1590 [ # fusions to Isoclinic(2.A14.2) 1591 ], 1592 [ # fusions to 2.A15.2 1593 ], 1594 [ # fusions to 2.A16.2 1595 ], 1596 [ # fusions to 2.A17.2 1597 ], 1598 [ # fusions to 2.A18.2 1599 ], 1600 [ # fusions to 2.A5 1601 "P2/G1/L1/V1/ext2", "P2/G1/L1/V1/ext3", "P2/G2/L1/V1/ext2", 1602 "P2/G2/L1/V1/ext3", "P2/G2/L1/V2/ext2", "2.S3", "5^2:2A5", "2.L2(3)", 1603 "bd10", "sl25ex", ], 1604 [ # fusions to 2.A5.2 1605 "2.A5", "(2.A5xD10).2", ], 1606 [ # fusions to Isoclinic(2.A5.2) 1607 "2.A5", "(2.A5x3).2", "3.3^(1+4):2S5", "3^(1+4):2S5", "(A6x2.A5).2", 1608 "(3.A6x2.A5).2", ], 1609 [ # fusions to 2.A6 1610 "2.A5", "6.A6", "2.Symm(4)", "2.A6M2", "3^2:8", "2.A6M5", "3^4:2.A6", ], 1611 [ # fusions to 2.A6.2_1 1612 "2.A5.2", "2.A6", "6.A6.2_1", "(2.A6x3).2_1", "(3^2:4x2.A6).2", "3^5:2S6", 1613 "(3^(1+2):4x2.A6).2", ], 1614 [ # fusions to 2.A6.2_2 1615 "2.A6", "6.A6.2_2", ], 1616 [ # fusions to 2.A7 1617 "Isoclinic(2.A5.2)", "2.A6", "6.A7", "2.L3(2)", "(2.A4x3).2", ], 1618 [ # fusions to 2.A7.2 1619 "2.A7", "6.A7.2", ], 1620 [ # fusions to Isoclinic(2.A7.2) 1621 "2.A6.2_1", "2.A7", "(2.A7x3).2", ], 1622 [ # fusions to 2.A8 1623 "2.A6.2_1", "2.A7", "2(A4xA4).2^2", "(2.A5x3).2", "2^(1+3):L3(2)", "McLN2", ], 1624 [ # fusions to 2.A8.2 1625 "2.A8", ], 1626 [ # fusions to Isoclinic(2.A8.2) 1627 "Isoclinic(2.A7.2)", "2.A8", "(2.A8x3).2", ], 1628 [ # fusions to 2.A9 1629 "Isoclinic(2.A7.2)", "2.A8", "L2(8):3x2", "(2.A6x3).2_1", "2.A9M5", 1630 "2.(A5xA4).2", "(2x3^3).S4", "2x3^2:2A4", "2^1+8.2.A9", ], 1631 [ # fusions to 2.A9.2 1632 "2.A9", ], 1633 [ # fusions to Isoclinic(2.A9.2) 1634 "2.A9", "(2.A9x3).2", ], 1635 [ # fusions to 2F4(2)'M7 1636 "2.HSM11", ], 1637 [ # fusions to 3.A6 1638 "6.A6", "Isoclinic(6.A6x2)", "3^(1+2):4", "3xA5", "3.A6M2", "3xSymm(4)", 1639 "3.A6M5", "3.M22M2", "6.M22M2", "12.M22M2", "2^4+6:3a6", "2.SuzM7", ], 1640 [ # fusions to 3.A6.2^2 1641 "3.A6.2_1", "3.A6.2_2", "3.A6.2_3", "3.A6.(2x4)", "(3.A6.2_2xA5):2", ], 1642 [ # fusions to 3.A6.2_1 1643 "3.A6", "6.A6.2_1", "2^6:3.s6", "2^(4+6):3S6", "3^(1+2):D8", ], 1644 [ # fusions to 3.A6.2_2 1645 "3.A6", "6.A6.2_2", "(2x3.A6).2", ], 1646 [ # fusions to 3.A6.2_3 1647 "3.A6", "Isoclinic(3.A6.2_3x2)", "12.A6.2_3", "6.M22M7", "12.M22M7", 1648 "(3.A6xA5):2", "(3.A6x2.A5).2", ], 1649 [ # fusions to 3.A7 1650 "3.A6", "6.A7", "3xL3(2)", "3xA5.2", "3.(A4x3):2", "3.2^4:a7", "3.McLM10", 1651 "2.(2x3.A7)", ], 1652 [ # fusions to 3.A7.2 1653 "3.A7", "6.A7.2", "Isoclinic(6.A7.2)", "3^(1+2):D8", ], 1654 [ # fusions to 4.A6.2_3 1655 "12.A6.2_3", ], 1656 [ # fusions to 6.A6 1657 "6.A6N2", "3x2.A5", "6.A6M2", "3x2.Symm(4)", "6.A6M5", "6.A6M3", ], 1658 [ # fusions to 6.A6.2_1 1659 "6.A6", ], 1660 [ # fusions to 6.A6.2_2 1661 "6.A6", ], 1662 [ # fusions to 6.A7 1663 "6.A6", "6.A6N2", "3x2.L3(2)", "3xIsoclinic(2.A5.2)", "6.A6M3", 1664 "6.(A4x3).2", ], 1665 [ # fusions to 6.A7.2 1666 "6.A7", ], 1667 [ # fusions to Isoclinic(6.A7.2) 1668 ], 1669 [ # fusions to A10 1670 "2.A10", "A6.2_3", "A8.2", "A9", "(A7x3).2", "(A5xA5):4", "(A6xA4).2", 1671 "mo62", ], 1672 [ # fusions to A10.2 1673 "2.A10.2", "A10", "A6.2^2", "A9.2", "S8x2", "S7xS3", "S6xS4", "(A10x3):2", 1674 "s2wrs5", "s5wrs2", ], 1675 [ # fusions to A11 1676 "2.A11", "A10", "A9.2", "M11", "(A8x3).2", "(A7xA4):2", "(A6xA5):2", 1677 "A11Syl2", ], 1678 [ # fusions to A11.2 1679 "2.A11.2", "Isoclinic(2.A11.2)", "A10.2", "A11", "S9x2", "S8xS3", "S7xS4", 1680 "S6xS5", "11:10", ], 1681 [ # fusions to A12 1682 "2.A12", "A10.2", "A11", "M12", "(A9x3):2", "(A8xA4):2", "(A7xA5):2", 1683 "2^6:3^3:S4", "3^4:2^3.S4", "2^5:S6", "(A6xA6):2^2", ], 1684 [ # fusions to A12.2 1685 "2.A12.2", "Isoclinic(2.A12.2)", "A11.2", "A12", "L2(11).2", "S10x2", 1686 "S9xS3", "S8xS4", "S7xS5", "(A5xA12):2", "S4wrS3", "S3wrS4", "2^6:S6", 1687 "(S6xS6):2", ], 1688 [ # fusions to A13 1689 "2.A13", "A11.2", "A12", "L3(3)", "(A10x3):2", "(A9xA4):2", "(A8xA5):2", 1690 "(A7xA6):2", "13:6", ], 1691 [ # fusions to A13.2 1692 "2.A13.2", "Isoclinic(2.A13.2)", "A12.2", "A13", "S11x2", "S10xS3", 1693 "S9xS4", "S8xS5", "S7xS6", "13:12", ], 1694 [ # fusions to A14 1695 "A13", ], 1696 [ # fusions to A5 1697 "2.A5", "P1/G1/L1/V1/ext2", "P1/G1/L1/V1/ext3", "P1/G1/L1/V1/ext4", 1698 "P1/G1/L1/V1/ext5", "P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext3", 1699 "P1/G1/L1/V2/ext6", "P1/G2/L1/V1/ext2", "P1/G2/L1/V1/ext3", 1700 "P1/G2/L1/V1/ext4", "P1/G2/L1/V2/ext2", "P1/G2/L1/V2/ext4", 1701 "P1/G2/L2/V2/ext2", "P1/G2/L2/V2/ext4", "P1/G3/L2/V1/ext2", 1702 "P1/G3/L2/V1/ext3", "P2/G1/L1/V1/ext2", "P2/G2/L1/V1/ext2", 1703 "P2/G2/L1/V2/ext2", "S3", "D10", "2^4:A5", "3x2.A5", "2^1+4b:a5", 1704 "2^{1+4}_-:2A5", "a4", "mo62p", ], 1705 [ # fusions to A6M2 1706 "2.A6M2", "3.A6M2", "6.A6M2", ], 1707 [ # fusions to A5.2 1708 "2.A5.2", "Isoclinic(2.A5.2)", "A5", "S3x2", "(A5x3):2", "(A8xA5):2", 1709 "3xIsoclinic(2.A5.2)", "(A6xA5):2", "(A5xA12):2", "(A5xU3(8):3):2", 1710 "(A7xA5):2", "2^4:s5", "2.M22M5", "4.M22M5", "M22.2M4", "2.M12M8", 1711 "(a6xa5).2", "2.2.2^4+6:S5", "2.2^4+6:S5", "4.2^4.S5", "2^(1+6)_+:S5", 1712 "2.HSM10", "(A6:2_2xA5).2", "(3.A6xA5):2", "(3.A6.2_2xA5):2", "(A5xJ2):2", 1713 "3^1+4:2^1+4.s5", "(A5xA9):2", "2^(1+4).S5", "(2^2xA5):2", "(A4xA5):2", 1714 "(A5xD10).2", "2^10:(2^5:s5)", "3^4:S5", "M24C2B", "gl25", "mo62", 1715 "s2wrs5", "s4", "twd5a", "w(d5)", "2^6:S5", "5:4", ], 1716 [ # fusions to A6.2_1M3 1717 ], 1718 [ # fusions to A6 1719 "2.A6", "3.A6", "6.A6", "A5", "A6M2", "P21/G1/L1/V1/ext2", 1720 "P21/G1/L1/V1/ext3", "P21/G1/L1/V1/ext4", "P21/G1/L3/V2/ext3", 1721 "P21/G2/L1/V1/ext2", "P21/G2/L1/V2/ext2", "P21/G2/L1/V3/ext2", 1722 "P21/G2/L2/V1/ext2", "P21/G2/L2/V2/ext2", "P21/G2/L2/V3/ext2", 1723 "P21/G2/L5/V2/ext2", "P21/G3/L2/V1/ext2", "P21/G3/L5/V1/ext2", "3^2:4", 1724 "2^4:a6", "2.M22M2", "4.M22M2", "s4", "A6M5", "3^4:A6", ], 1725 [ # fusions to A6.2^2 1726 "3.A6.2^2", "A6.2_1", "A6.2_2", "A6.2_3", "2xa6.2^2", "(A6:2_2xA5).2", 1727 "(3xM10):2", "(S6xL3(4).2).2", "A6.D8", "(4xA6).2^2", "3^2:Q8.2", ], 1728 [ # fusions to U4(3).2_3M10 1729 ], 1730 [ # fusions to A6.2_1 1731 "2.A6.2_1", "3.A6.2_1", "6.A6.2_1", "A5.2", "A6.2_1M3", "A6", "2xSymm(4)", 1732 "(A7xA6):2", "(A6xA4).2", "(A6xA5):2", "(4xA6):2", "(3^2:4xa6).2", 1733 "2^4.s6", "2.2^4.S6", "(3^2:8xA6).2", "(3^(1+2):4xA6).2", 1734 "(3^(1+2):8xA6).2", "(A6xU3(3)):2", "2^5:S6", "s2wrs3", "s3wrs2", "2^6:S6", 1735 "suzdx", "(3xA6).2_1", "M22.2M3", "2^(3+8):(S3xS6)", ], 1736 [ # fusions to A6.2_2 1737 "2.A6.2_2", "3.A6.2_2", "6.A6.2_2", "A6", "j3m6", ], 1738 [ # fusions to A6.2_3 1739 "(2xA6).2_3", "3.A6.2_3", "4.A6.2_3", "A6", "(4xA6).2_3", "(a6xa5).2", 1740 "3^4:m10", "3.3^4:m10", "ONM5", "(A6x2.A5).2", "3^2:Q8", "5:4", ], 1741 [ # fusions to A7 1742 "2.A7", "3.A7", "6.A7", "A5.2", "A6", "P27/G1/L1/V1/ext2", 1743 "P27/G1/L1/V1/ext3", "P27/G1/L1/V1/ext4", "7:3", "(A4x3):2", "L3(2)", 1744 "2^4:a7", "2.(2xA7)", "McLM10", "2^6:A7", ], 1745 [ # fusions to A7.2 1746 "2.A7.2", "Isoclinic(2.A7.2)", "3.A7.2", "6.A7.2", "Isoclinic(6.A7.2)", 1747 "A6.2_1", "A7", "(A7xA6):2", "(A7x3).2", "(2.A7x3).2", "(A7xA4):2", 1748 "(A7x(A5xA5):2^2):2", "(A7xA5):2", "2xS5", "S4xS3", "(A7xL2(7)):2", "7:6", ], 1749 [ # fusions to A8 1750 "2.A8", "A6.2_1", "A7", "P31/G1/L1/V1/ext2", "P31/G1/L1/V1/ext3", 1751 "(A5x3):2", "2^3:sl(3,2)", "2^4:a8", "2^1+4+6.a8", "2^4.a8", "2^4:(S3xS3)", 1752 "2^6:A8", "2^(1+6)_+.A8", "2^10.A8", ], 1753 [ # fusions to A8.2 1754 "2.A8.2", "Isoclinic(2.A8.2)", "A7.2", "A8", "L3(2).2", "S6x2", "S5xS3", 1755 "(A8xA5):2", "(A8x3).2", "(A8xA4):2", "Isoclinic(S8x2)", "mo61", "mo81", 1756 "s2wrs4", "2^6:S8", "2^8:S8", ], 1757 [ # fusions to A9 1758 "2.A9", "A7.2", "A8", "L2(8).3", "A9M5", "3^2:2A4", "2x2.A9", "2^1+8.a9", 1759 "2^1+8.2.A9", "(A4xA5):2", "2^8.A9", "(3xA6).2_1", "3^3.S4", ], 1760 [ # fusions to A9.2 1761 "2.A9.2", "Isoclinic(2.A9.2)", "A8.2", "A9", "S7x2", "S5xS4", "(A9xA4):2", 1762 "(A9x3):2", "3xIsoclinic(2.A9.2)", "3^2.2.S4", "(A5xA9):2", "S3xS6", 1763 "s3wrs3", ], 1764 [ # fusions to M12M4 1765 "2.M12M4", ], 1766 [ # fusions to A14.2 1767 "2.A14.2", "Isoclinic(2.A14.2)", "A13.2", "A14", ], 1768 [ # fusions to A15.2 1769 "2.A15.2", "A15", ], 1770 [ # fusions to A15 1771 ], 1772 [ # fusions to A16.2 1773 "2.A16.2", "A16", ], 1774 [ # fusions to A16 1775 ], 1776 [ # fusions to A17 1777 "(A5xA12):2", ], 1778 [ # fusions to A17.2 1779 "2.A17.2", "A17", ], 1780 [ # fusions to A18 1781 ], 1782 [ # fusions to A18.2 1783 "2.A18.2", "A18", ], 1784 [ # fusions to A19 1785 ], 1786 [ # fusions to A19.2 1787 "A19", ], 1788 [ # fusions to Isoclinic(6.A6x2) 1789 ], 1790 [ # fusions to Isoclinic(3.A6.2_3x2) 1791 "12.A6.2_3", ], 1792 [ # fusions to 12.A6.2_3 1793 "Isoclinic(6.A6x2)", ], 1794 [ # fusions to 2.F4(2) 1795 "(2^2x3).2E6(2)M4", "2^2.2E6(2)M4", ], 1796 [ # fusions to 2.F4(2).2 1797 "2.F4(2)", ], 1798 [ # fusions to Isoclinic(2.F4(2).2) 1799 ], 1800 [ # fusions to Isoclinic(2x2.F4(2).2) 1801 ], 1802 [ # fusions to 2.(2xF4(2)).2 1803 ], 1804 [ # fusions to 2.G2(4) 1805 "2.J2", "2.L2(13)", "Isoclinic(6.L3(4).2_3)", "2.2^(4+6).(A5x3)", 1806 "Isoclinic(2xU3(4).2)", "Isoclinic(2xU3(3).2)", "2.A5xA5", 1807 "2.2^(2+8).(3xA5)", ], 1808 [ # fusions to 2.G2(4).2 1809 "2.G2(4)", ], 1810 [ # fusions to Isoclinic(2.G2(4).2) 1811 ], 1812 [ # fusions to 2.Sz(8) 1813 "2^2.Sz(8)", "2.2^(3+3):7", "2x13:4", "D28", "2x5:4", ], 1814 [ # fusions to 2^2.Sz(8) 1815 "2^2.2^(3+3):7", "2^2x13:4", "2^2xD14", "5:4x2^2", ], 1816 [ # fusions to 2^2.Sz(8).3 1817 "2^2.Sz(8)", ], 1818 [ # fusions to 3.G2(3) 1819 "3xU3(3).2", "3.G2(3)M2", "3.(3^(1+2)+x3^2):2S4", "3.G2(3)M4", "3.G2(3)M6", 1820 "3xL2(8).3", "3x2^3.L3(2)", "3xL2(13)", "3.2^(1+4)+:3^2.2", "3xL3(3).2", ], 1821 [ # fusions to 3.G2(3).2 1822 "3.G2(3)", ], 1823 [ # fusions to F4(2) 1824 "2.F4(2)", "6x2.F4(2)", "(2^(1+8)x2^6):S6(2)", "F4(2)M2", "2x2.F4(2)", 1825 "S8(2)", "F4(2)M4", ], 1826 [ # fusions to F4(2).2 1827 "2.F4(2).2", "Isoclinic(2.F4(2).2)", "2.(2xF4(2)).2", "F4(2)", 1828 "(2^2xF4(2)):2", ], 1829 [ # fusions to G2(3) 1830 "3.G2(3)", "L2(13)", "L2(8).3", "L3(3).2", "G2(3)M6", "2x3.G2(3)", 1831 "(3^(1+2)+x3^2):2S4", "G2(3)M4", "2^(1+4)+:3^2.2", "2^3.L3(2)", "U3(3).2", 1832 "G2(3)M2", ], 1833 [ # fusions to G2(3).2 1834 "3.G2(3).2", "G2(3)", "L2(13).2", "L2(8):3x2", "2^(1+4)+.(S3xS3)", 1835 "2^3.L3(2):2", "3^2.(3x3^(1+2)+):D8", "(3xG2(3)):2", "(3^2:2xG2(3)).2", ], 1836 [ # fusions to G2(4) 1837 "2.G2(4)", "J2", "L2(13)", "3.L3(4).2_3", "A5xA5", "2^(2+8):(3xA5)", 1838 "2^(4+6):(A5x3)", "U3(3).2", "U3(4).2", ], 1839 [ # fusions to G2(4).2 1840 "2.G2(4).2", "Isoclinic(2.G2(4).2)", "G2(4)", "J2.2", "(3xG2(4)).2", 1841 "(A4xG2(4)):2", ], 1842 [ # fusions to G2(5) 1843 "L3(5).2", "5^2.5.5^2.4S5", "2.(A5xA5).2", "5^(1+4):GL(2,5)", "2^3.L3(2)", 1844 "3.U3(5).2", "U3(3).2", ], 1845 [ # fusions to R(27) 1846 ], 1847 [ # fusions to R(27).3 1848 "R(27)", ], 1849 [ # fusions to Sz(32) 1850 "2^(5+5):31", "41:4", "25:4", "D62", ], 1851 [ # fusions to Sz(32).5 1852 "Sz(32)", ], 1853 [ # fusions to Sz(8) 1854 "2.Sz(8)", "2^2.Sz(8)", "D14", "2^12:Sz(8)", "5:4", "13:4", "2^(3+3):7", ], 1855 [ # fusions to Sz(8).3 1856 "2^2.Sz(8).3", "Sz(8)", "(2^2xSz(8)):3", "2.(2^2xSz(8)):3", "7:6", "5:4x3", 1857 "13:12", "2^(3+3):7:3", ], 1858 [ # fusions to 3^(1+10):U5(2):2 1859 ], 1860 [ # fusions to 3^5:U4(2) 1861 "U4(2)", ], 1862 [ # fusions to 3^7:O7(3) 1863 "O7(3)", ], 1864 [ # fusions to 2^7:S6(2) 1865 ], 1866 [ # fusions to 2^8:O8+(2) 1867 "2^8:S6(2)", "O8+(2)", ], 1868 [ # fusions to 2^8:S8(2) 1869 "S8(2)", ], 1870 [ # fusions to 2^(1+22).Co2 1871 ], 1872 [ # fusions to 2.Co1 1873 "(3^2x2).U4(3).D8", "NDG(2.Co1,3^3)", "NDG(2.Co1,5^2)", "2xCo1N5", 1874 "2x5^(1+2):GL2(5)", "2xCo1N7", "2.2^11:M24", "2^1+24.2.Co1", "6.Suz.2", ], 1875 [ # fusions to 2.J2 1876 "2.A5", "2.J2N2", "2.J2N3", "2.A4xS3", "(2x3.A6).2", "(2xL3(2)).2", 1877 "2.J2M8", "2A4xA5", "2A5xD10", "2^{1+4}_-:2A5", "2^{3+4}:(3xS3)", 1878 "2xU3(3)", ], 1879 [ # fusions to 2.J2.2 1880 "Isoclinic(2.A5.2)", "2.J2", "2.J2.2N5", "Isoclinic(2xU3(3).2)", 1881 "(2.A5xD10).2", ], 1882 [ # fusions to Isoclinic(2.J2.2) 1883 ], 1884 [ # fusions to 3.J3 1885 "3x(3xA6):2_2", "3xJ3N2", "3^3.3^(1+2):8", "3x2^(1+4)_-:A5", 1886 "3x2^(2+4):(3xS3)", "3x2^4:(3xA5)", ], 1887 [ # fusions to 3.J3.2 1888 "3.J3", "3.(3xM10):2", "3^3.3^(1+2):8.2", ], 1889 [ # fusions to Co1 1890 "2.Co1", "Co2", "Co3", "NDG(Co1,5^2)", "23:11", "(A4xG2(4)):2", 1891 "(A5xJ2):2", "(A6xU3(3)):2", "(A7xL2(7)):2", "(D10x(A5xA5).2).2", 1892 "2^(1+8)+.O8+(2)", "2^(2+12):(A8xS3)", "2^(4+12).(S3x3S6)", "2^11:M24", 1893 "3^(3+4):2(S4xS4)", "3^6:2M12", "5^(1+2):GL2(5)", "5^2:2A5", 1894 "5^3:(4xA5).2", "A9xS3", "2^24.Co1", "2^1+24.Co1", "2^1+24.2.Co1", 1895 "3^(1+4).2U4(2)", "3^(1+4).2U4(2).2", "3.Suz.2", "7^2:(3x2A4)", "Co1N3", 1896 "Co1N5", "3^2.U4(3).D8", "U6(2).3.2", ], 1897 [ # fusions to Co2 1898 "2^(1+22).Co2", "M23", "23:11", "2^(4+10)(S5xS3)", "2^1+4+6.a8", 1899 "2^1+8:s6f2", "2^10:m22:2", "3^1+4:2^1+4.s5", "11:10", "2^10:(2^5:s5)", 1900 "HS.2", "McL", "5^(1+2):4S4", "3^(1+4)_+:(S3xQD16)", "Co2N7", "U4(3).D8", 1901 "U6(2).2", ], 1902 [ # fusions to Co3 1903 "L3(4).D12", "M23", "23:11", "4.2^4.S5", "2^2.(2^7.3^2).s3", "2^4.a8", 1904 "2xm12", "3^1+4:4s6", "3^5:(2xm11)", "a4xs5", "s3xpsl(2,8).3", "c3d2", 1905 "HS", "McL", "McL.2", "5^(1+2):(24:2)", "Co3N2", "Co3N3", "2x11:5", 1906 "S3x7:6", "2.S6(2)", "U4(3)", "U4(3).(2^2)_{133}", "U3(5).2", "U3(5).3.2", ], 1907 [ # fusions to J1 1908 "L2(11)", "11:10", "19:6", "2xA5", "7:6", "D6xD10", "2^3.7.3", ], 1909 [ # fusions to J2 1910 "3.A6.2_2", "A5", "2.J2", "L3(2).2", "2^1+4b:a5", "2^2+4.3xs3", "5^2:D12", 1911 "7:6", "a4xa5", "a5xd10", "2^12:J2", "3^(1+2):8", "J2N2", "U3(3)", ], 1912 [ # fusions to J2.2 1913 "3.A6.2^2", "A5.2", "2.J2.2", "Isoclinic(2.J2.2)", "J2", "5^(1+6):2.J2.4", 1914 "(A5xJ2):2", "2^(1+4).S5", "2^(2+4):(S3xS3)", "(A4xA5):2", "(A5xD10).2", 1915 "L3(2).2x2", "5^2:(4xS3)", "U3(3).2", ], 1916 [ # fusions to J3 1917 "3.J3", "J3M3", "L2(16).2", "L2(17)", "L2(19)", "2^1+4b:a5", "2^2+4.3xs3", 1918 "D6xD10", "j3m4", "j3m6", "3^2.3^(1+2):8", "J3N2", "17:8", "19:9", ], 1919 [ # fusions to J3.2 1920 "3.J3.2", "J3", "L2(16).4", "2^4:(3xA5).2", "(3xM10):2", "19:18", 1921 "2^(1+4).S5", "2^(2+4):(S3xS3)", "3^2.3^(1+2):8.2", "L2(17)x2", ], 1922 [ # fusions to J4 1923 "NDG(J4,3^2)", "L2(23).2", "L2(32).5", "6.M22.2", "M22.2", "M24", "37:12", 1924 "43:14", "J4M4", "c2aj4", "frob", "2^10:L5(2)", "mx1j4", 1925 "(2x3^(1+2)_+:8):2", "11+^(1+2):(5x2S4)", "U3(3)", "U3(11).2", ], 1926 [ # fusions to NDG(12.M22,3^2) 1927 ], 1928 [ # fusions to 12.M22N3 1929 ], 1930 [ # fusions to (GL(2,3)x2F4(2)').2 1931 ], 1932 [ # fusions to D8x2F4(2)'.2 1933 "(QD16x2F4(2)').2", ], 1934 [ # fusions to QD16.2 1935 "M11N2", ], 1936 [ # fusions to (QD16x2F4(2)').2 1937 ], 1938 [ # fusions to 2.(3^2:D8xU4(3).2^2).2 1939 ], 1940 [ # fusions to 2xBN5 1941 ], 1942 [ # fusions to (5^2:4S4x2.A5):2 1943 ], 1944 [ # fusions to 2.BN7 1945 ], 1946 [ # fusions to (3^2x2).U4(3).D8 1947 ], 1948 [ # fusions to NDG(2.Co1,3^3) 1949 ], 1950 [ # fusions to NDG(Co1,5^2) 1951 ], 1952 [ # fusions to NDG(2.Co1,5^2) 1953 ], 1954 [ # fusions to 2xCo1N3 1955 ], 1956 [ # fusions to 2xCo1N5 1957 ], 1958 [ # fusions to 2x5^(1+2):GL2(5) 1959 ], 1960 [ # fusions to 2xCo1N7 1961 ], 1962 [ # fusions to 2.HS.2N3 1963 "2.HSN3", ], 1964 [ # fusions to 2.HSN2 1965 ], 1966 [ # fusions to 2.HS.2N2 1967 "2.HSN2", ], 1968 [ # fusions to NDG(2.HS,Q8) 1969 ], 1970 [ # fusions to NDG(2.HS,Q8).2 1971 "NDG(2.HS,Q8)", ], 1972 [ # fusions to 5^(1+2):8:4 1973 ], 1974 [ # fusions to 2.J2N2 1975 ], 1976 [ # fusions to 2.J2N3 1977 ], 1978 [ # fusions to 2.J2.2N5 1979 "2.J2M8", ], 1980 [ # fusions to 2.M12N2 1981 ], 1982 [ # fusions to 2xM12N3 1983 ], 1984 [ # fusions to 2.RuN2 1985 ], 1986 [ # fusions to 5^(1+2):(4x4):4 1987 ], 1988 [ # fusions to 3.F3+N5 1989 ], 1990 [ # fusions to 3.F3+.2N5 1991 "3.F3+N5", ], 1992 [ # fusions to 3xF3+N7 1993 ], 1994 [ # fusions to 3.F3+.2N7 1995 "3xF3+N7", ], 1996 [ # fusions to 3x(3xA6):2_2 1997 ], 1998 [ # fusions to 3.(3xM10):2 1999 "3x(3xA6):2_2", ], 2000 [ # fusions to 3xJ3N2 2001 ], 2002 [ # fusions to 3^3.3^(1+2):8 2003 ], 2004 [ # fusions to 3^3.3^(1+2):8.2 2005 "3^3.3^(1+2):8", ], 2006 [ # fusions to 3.McL.2N5 2007 "3x5^(1+2):3:8", ], 2008 [ # fusions to 3xMcLN2 2009 ], 2010 [ # fusions to (3xMcLN2).2 2011 "3xMcLN2", ], 2012 [ # fusions to McL.2N3 2013 "3.McL.2N3", "3^4:(3^2:Q8)", ], 2014 [ # fusions to 3.McL.2N3 2015 "3.3^4.3^2.Q8", ], 2016 [ # fusions to 3xONN2 2017 ], 2018 [ # fusions to ON.2N2 2019 "(3xONN2).2", "4^3.D8", ], 2020 [ # fusions to (3xONN2).2 2021 "3xONN2", ], 2022 [ # fusions to NDG(ON,D8) 2023 "NDG(3.ON,D8)", ], 2024 [ # fusions to NDG(3.ON,D8) 2025 ], 2026 [ # fusions to NDG(ON,D8).2 2027 "NDG(ON,D8)", ], 2028 [ # fusions to 3.ON.2N3 2029 "3.ONM6", ], 2030 [ # fusions to 3.ON.2M4 2031 "3.ONM5", ], 2032 [ # fusions to 3xONN7 2033 ], 2034 [ # fusions to 3.ON.2N7 2035 "3xONN7", ], 2036 [ # fusions to 4.M22N2 2037 ], 2038 [ # fusions to 3x4.M22N2 2039 ], 2040 [ # fusions to 6.A6N2 2041 ], 2042 [ # fusions to S3x6_1.U4(3).2_2 2043 ], 2044 [ # fusions to 2xFi22N3 2045 ], 2046 [ # fusions to 3.Fi22N3 2047 ], 2048 [ # fusions to 2x3.Fi22N3 2049 ], 2050 [ # fusions to 2xFi22N5 2051 ], 2052 [ # fusions to 6xFi22N5 2053 ], 2054 [ # fusions to 3x5^2:(4xS3) 2055 ], 2056 [ # fusions to 3x2.J2.2N5 2057 ], 2058 [ # fusions to D8xS6(2) 2059 ], 2060 [ # fusions to NDG(He.2,3^2) 2061 "hed3", ], 2062 [ # fusions to NDG(HN,3^2) 2063 ], 2064 [ # fusions to NDG(HN.2,3^2) 2065 "NDG(HN,3^2)", ], 2066 [ # fusions to HNN3 2067 ], 2068 [ # fusions to HN.2N3 2069 "HNN3", ], 2070 [ # fusions to HNN5 2071 ], 2072 [ # fusions to NDG(J4,3^2) 2073 ], 2074 [ # fusions to (3^(1+2):2^2xG2(3)):2 2075 ], 2076 [ # fusions to MN5 2077 ], 2078 [ # fusions to 2F4(2)'N2 2079 ], 2080 [ # fusions to 2F4(2)'.2N2 2081 "2F4(2)'N2", ], 2082 [ # fusions to 2^(3+1+3).L3(2) 2083 ], 2084 [ # fusions to 2^(2+2+4).(S3xS3) 2085 ], 2086 [ # fusions to NRS(M24,2^(2+2+4)a) 2087 ], 2088 [ # fusions to NRS(M24,2^(2+2+4)b) 2089 ], 2090 [ # fusions to [2^9].S3a 2091 ], 2092 [ # fusions to NRS(M24,[2^9]a) 2093 ], 2094 [ # fusions to [2^9].S3b 2095 ], 2096 [ # fusions to NRS(M24,[2^9]b) 2097 ], 2098 [ # fusions to L3(2)xS3 2099 "2^(6+6):(S3xL3(2))", ], 2100 [ # fusions to 3x2^(1+4)_-:A5 2101 ], 2102 [ # fusions to 3x2^(2+4):(3xS3) 2103 ], 2104 [ # fusions to 3x11:5 2105 ], 2106 [ # fusions to 6x7:3 2107 ], 2108 [ # fusions to E6(2) 2109 ], 2110 [ # fusions to 2.Fi22 2111 "2xFi22N5", "6.Fi22", "(2^2x3).2E6(2)M8", "2xO7(3)", "2.Fi22M3", 2112 "S3x2.U4(3).2_2", "O8+(2):S3x2", "2.(2x2^(1+8)):U4(2):2", "2^2.2E6(2)M8", 2113 "2.Fi22M5", "2^2.U6(2)", ], 2114 [ # fusions to 2.Fi22.2 2115 "2.Fi22", "6.Fi22.2", "(S3x2.U4(3).2_2).2", ], 2116 [ # fusions to Isoclinic(2.Fi22.2) 2117 ], 2118 [ # fusions to 3.Fi22 2119 "3.Fi22N3", "6.Fi22", "2x6.Fi22", "3xO8+(2):S3", "3x(2x2^(1+8)):U4(2):2", 2120 "3.Fi22M5", "3.O7(3)", "6.U6(2)", ], 2121 [ # fusions to 3.Fi22.2 2122 "3.Fi22", "6.Fi22.2", "Isoclinic(6.Fi22.2)", "3.(2x2^(1+8)):(U4(2):2x2)", ], 2123 [ # fusions to 6.Fi22 2124 "S3x6_1.U4(3).2_2", "6xFi22N5", "(2^2x3).2E6(2)M8", "2x3.O7(3)", 2125 "6.Fi22M3", "6xO8+(2):S3", "6.Fi22M5", "(2^2x3).U6(2)", ], 2126 [ # fusions to 6.Fi22.2 2127 "6.Fi22", "(2^2x3).U6(2).2", ], 2128 [ # fusions to Isoclinic(6.Fi22.2) 2129 ], 2130 [ # fusions to Fi22 2131 "A10.2", "2.Fi22", "3.Fi22", "6.Fi22", "M12", "M22", "2x6.Fi22", 2132 "3^(1+6):2^(3+4):3^2:2", "2^(5+8):(S3xA6)", "S3xU4(3).2_2", 2133 "(2x2^(1+8)):U4(2):2", "2x2.Fi22", "2^10:m22", "2^6:s6f2", "S3xU4(3)", 2134 "Fi22M3", "O7(3)", "O8+(2).2", "O8+(2).3.2", "Fi22N3", "Fi22N5", "2F4(2)'", 2135 "U4(3)", "U4(3).2_2", "2.U6(2)", ], 2136 [ # fusions to Fi22.2 2137 "G2(3).2", "2^7:S6(2)", "2.Fi22.2", "Isoclinic(2.Fi22.2)", "3.Fi22.2", 2138 "6.Fi22.2", "Isoclinic(6.Fi22.2)", "Fi22", "M12.2", 2139 "3^(1+6)_+:2^(3+4):(S3xS3)", "S3xU4(3).(2^2)_{122}", "O8+(2):S3x2", 2140 "(2x2^(1+8)):(U4(2):2x2)", "Fi22.2M4", "2^(5+8):(S3xS6)", 2141 "3^5:(2xU4(2).2)", "2^2.Fi22.2", "2F4(2)'.2", "2.U6(2).2", ], 2142 [ # fusions to 3.F3+ 2143 "3.F3+N5", "3xF3+N7", "Fi23", "3.2^(1+12).3U4(3).2", "3xFi23", ], 2144 [ # fusions to 3.F3+.2 2145 "3.F3+.2N7", "(3^(1+2):2^2xG2(3)):2", "3.F3+", "(S3x2.Fi22).2", ], 2146 [ # fusions to F3+ 2147 "3^(1+10):U5(2):2", "2.Fi22.2", "3.F3+", "Fi23", "L2(13).2", 2148 "2^(3+12).(L3(2)xA6)", "2^(6+8).(S3xA8)", "3^2.3^4.3^8.(A5x2A4).2", 2149 "23:11", "(3xO8+(3):3):2", "(A4xO8+(2).3).2", "(A5xA9):2", "29:14", 2150 "7:6xA7", "A6xL2(8):3", "2^(1+12).3_1.U4(3).2_2'", "3^3.[3^10].GL3(3)", 2151 "F3+M7", "(3^2:2xG2(3)).2", "3^7.O7(3)", "O10-(2)", "F3+M14", "He.2", 2152 "7^(1+2):(S3x6)", "17:16", "F3+N5", "U3(3).2", "2^2.U6(2).3.2", ], 2153 [ # fusions to F3+.2 2154 "3.F3+.2", "F3+", "3^7.O7(3):2", "S3xO8+(3):S3", "3^(1+10):(2xU5(2):2)", 2155 "2^2.U6(2):S3x2", "2^(1+12)_+.3_1.U4(3).2^2_{122}", 2156 "3^3.[3^10].(L3(3)x2^2)", "3^2.3^4.3^8.(S5x2S4)", "S4xO8+(2):S3", 2157 "2^(3+12).(L3(2)xS6)", "2^(7+8).(S3xA8)", "(S3xS3xG2(3)):2", "S5xS9", 2158 "S6xL2(8):3", "7:6xS7", "7^(1+2)_+:(6xS3).2", "2^12.M24", "frob", 2159 "2^2.Fi22.2", "2xFi23", "O10-(2).2", "S4x5^2:4S4", ], 2160 [ # fusions to Fi23 2161 "A12.2", "2xFi22N5", "D8xS6(2)", "2.Fi22", "L2(23)", "23:11", 2162 "(2^2x2^(1+8)).(3xU4(2)).2", "2^(6+8):(A7xS3)", 2163 "3^(1+8).2^(1+6).3^(1+2).2S4", "Fi23M8", "S3xO7(3)", "S4xS6(2)", 2164 "2..11.m23", "O8+(3).3.2", "17:16", "7:6xA5.2", "S4(4).4", "S8(2)", 2165 "2^2.U6(2).2", ], 2166 [ # fusions to P1/G1/L1/V1/ext2 2167 "A5", "P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext6", "2.(2^4:A5)", ], 2168 [ # fusions to P1/G1/L1/V1/ext3 2169 "P1/G1/L1/V1/ext6", ], 2170 [ # fusions to P1/G1/L1/V1/ext4 2171 ], 2172 [ # fusions to P1/G1/L1/V1/ext5 2173 ], 2174 [ # fusions to P1/G1/L1/V1/ext6 2175 ], 2176 [ # fusions to P1/G1/L1/V2/ext3 2177 "P1/G1/L1/V2/ext6", ], 2178 [ # fusions to P1/G1/L1/V2/ext6 2179 ], 2180 [ # fusions to P1/G2/L1/V1/ext2 2181 "4_1.2^4:A5", "4_2.2^4:A5", ], 2182 [ # fusions to P1/G2/L1/V1/ext3 2183 ], 2184 [ # fusions to P1/G2/L1/V1/ext4 2185 ], 2186 [ # fusions to P1/G2/L1/V2/ext2 2187 ], 2188 [ # fusions to P1/G2/L1/V2/ext4 2189 ], 2190 [ # fusions to P1/G2/L2/V2/ext2 2191 ], 2192 [ # fusions to P1/G2/L2/V2/ext4 2193 ], 2194 [ # fusions to P1/G3/L2/V1/ext2 2195 ], 2196 [ # fusions to P1/G3/L2/V1/ext3 2197 ], 2198 [ # fusions to P11/G1/L1/V1/ext2 2199 ], 2200 [ # fusions to P11/G1/L1/V1/ext3 2201 ], 2202 [ # fusions to P11/G1/L1/V1/ext4 2203 ], 2204 [ # fusions to P11/G1/L1/V2/ext2 2205 ], 2206 [ # fusions to P11/G1/L1/V2/ext4 2207 ], 2208 [ # fusions to P11/G1/L1/V3/ext2 2209 ], 2210 [ # fusions to P11/G1/L1/V3/ext4 2211 ], 2212 [ # fusions to P11/G2/L1/V1/ext2 2213 ], 2214 [ # fusions to P11/G2/L1/V1/ext3 2215 ], 2216 [ # fusions to P11/G2/L1/V2/ext2 2217 ], 2218 [ # fusions to P11/G3/L1/V1/ext2 2219 ], 2220 [ # fusions to P11/G3/L1/V1/ext3 2221 ], 2222 [ # fusions to P11/G3/L1/V2/ext3 2223 ], 2224 [ # fusions to P11/G3/L3/V1/ext2 2225 ], 2226 [ # fusions to P11/G3/L3/V2/ext3 2227 ], 2228 [ # fusions to P11/G3/L4/V2/ext2 2229 ], 2230 [ # fusions to P11/G3/L4/V2/ext3 2231 ], 2232 [ # fusions to P11/G3/L4/V3/ext2 2233 ], 2234 [ # fusions to P11/G4/L1/V1/ext2 2235 ], 2236 [ # fusions to P11/G4/L1/V1/ext3 2237 ], 2238 [ # fusions to P12/G1/L2/V1/ext2 2239 ], 2240 [ # fusions to P12/G1/L2/V1/ext3 2241 ], 2242 [ # fusions to P13/G1/L2/V1/ext2 2243 ], 2244 [ # fusions to P13/G1/L2/V1/ext3 2245 ], 2246 [ # fusions to P13/G1/L6/V1/ext2 2247 ], 2248 [ # fusions to P2/G1/L1/V1/ext2 2249 ], 2250 [ # fusions to P2/G1/L1/V1/ext3 2251 ], 2252 [ # fusions to P2/G2/L1/V1/ext2 2253 ], 2254 [ # fusions to P2/G2/L1/V1/ext3 2255 ], 2256 [ # fusions to P2/G2/L1/V2/ext2 2257 ], 2258 [ # fusions to P21/G1/L1/V1/ext2 2259 ], 2260 [ # fusions to P21/G1/L1/V1/ext3 2261 ], 2262 [ # fusions to P21/G1/L1/V1/ext4 2263 ], 2264 [ # fusions to P21/G1/L3/V2/ext3 2265 ], 2266 [ # fusions to P21/G2/L1/V1/ext2 2267 ], 2268 [ # fusions to P21/G2/L1/V2/ext2 2269 ], 2270 [ # fusions to P21/G2/L1/V3/ext2 2271 ], 2272 [ # fusions to P21/G2/L2/V1/ext2 2273 ], 2274 [ # fusions to P21/G2/L2/V2/ext2 2275 ], 2276 [ # fusions to P21/G2/L2/V3/ext2 2277 ], 2278 [ # fusions to P21/G2/L5/V2/ext2 2279 ], 2280 [ # fusions to P21/G3/L2/V1/ext2 2281 ], 2282 [ # fusions to P21/G3/L5/V1/ext2 2283 ], 2284 [ # fusions to P27/G1/L1/V1/ext2 2285 ], 2286 [ # fusions to P27/G1/L1/V1/ext3 2287 ], 2288 [ # fusions to P27/G1/L1/V1/ext4 2289 ], 2290 [ # fusions to P31/G1/L1/V1/ext2 2291 "(2x2^(1+6)_+).A8", ], 2292 [ # fusions to P31/G1/L1/V1/ext3 2293 "A8", ], 2294 [ # fusions to P41/G1/L1/V1/ext2 2295 ], 2296 [ # fusions to P41/G1/L1/V1/ext3 2297 ], 2298 [ # fusions to P41/G1/L1/V2/ext2 2299 ], 2300 [ # fusions to P41/G1/L1/V3/ext3 2301 ], 2302 [ # fusions to P41/G1/L1/V4/ext2 2303 ], 2304 [ # fusions to P41/G1/L1/V4/ext3 2305 ], 2306 [ # fusions to P41/G2/L1/V1/ext2 2307 ], 2308 [ # fusions to P41/G2/L1/V1/ext3 2309 ], 2310 [ # fusions to P43/G1/L1/V1/ext2 2311 ], 2312 [ # fusions to P43/G2/L1/V1/ext2 2313 ], 2314 [ # fusions to P43/G3/L1/V1/ext2 2315 ], 2316 [ # fusions to P43/G3/L1/V2/ext2 2317 ], 2318 [ # fusions to P48/G1/L1/V1/ext2 2319 ], 2320 [ # fusions to P48/G1/L1/V2/ext2 2321 ], 2322 [ # fusions to P49/G1/L1/V1/ext2 2323 ], 2324 [ # fusions to P49/G1/L1/V1/ext3 2325 "U3(3)", ], 2326 [ # fusions to P49/G1/L1/V2/ext3 2327 ], 2328 [ # fusions to P50/G1/L1/V1/ext2 2329 ], 2330 [ # fusions to P50/G1/L1/V1/ext3 2331 ], 2332 [ # fusions to P50/G1/L1/V1/ext4 2333 ], 2334 [ # fusions to S3 2335 "[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b", "NRS(M24,[2^9]b)", "2.S3", 2336 "C3", "3^2:2", "(A4x3):2", "(A5x3):2", "D114", "(A10x3):2", "(2.A4x3).2", 2337 "(2.A5x3).2", "(2.A6x3).2_1", "(A7x3).2", "(2.A7x3).2", "(A8x3).2", 2338 "(2.A8x3).2", "(A9x3):2", "(2.A9x3).2", "(S5xS5xS5):S3", "(3xG2(3)):2", 2339 "3^5:2S6", "(3xG2(4)).2", "(3xU5(2)).2", "(3x2^(1+6)_-.U4(2)).2", 2340 "(3x2^(4+6):3A6).2", "(3x2^(2+8):(A5xS3)).2", "(3xL2(25)).2_2", 2341 "(3xO8+(3):3):2", "(S3x2.U4(3).2_2).2", "3.(2x2^(1+8)):(U4(2):2x2)", 2342 "(3xM10):2", "j3m6", "(S3x2.Fi22).2", "D24", "bd6", "D120", "(3xA6).2_1", 2343 "1/2(8xS3)", "(2^2x3).2", "(3xD10).2", ], 2344 [ # fusions to 2.S3 2345 ], 2346 [ # fusions to Symm(4) 2347 "2.Symm(4)", "(A4x3):2", "2^4:(3x3):2", "(A9xA4):2", "3x2.Symm(4)", 2348 "(A6xA4).2", "(A7xA4):2", "(A8xA4):2", "(A4xL3(4):2_3):2", 2349 "(A4x3.L3(4)).2", "(A4x3.L3(4).2_3).2", "(A4xG2(4)):2", "(A4xO8+(2).3).2", 2350 "(A4xA5):2", "(A4xU4(2)):2", "a4", "(A4xD10).2", "F3+N5", ], 2351 [ # fusions to 2.Symm(4) 2352 "(2.A4x3).2", ], 2353 [ # fusions to D8 2354 "2.D8", "C4", "(4xA6):2", "(2^2xA5):2", "(2^2xF4(2)):2", "D24", "D120", 2355 "V4", "(2^2x3).2", "2.HSN3", "BN7", ], 2356 [ # fusions to 2.D8 2357 ], 2358 [ # fusions to D10 2359 "D110", "bd10", "D120", ], 2360 [ # fusions to 7:3 2361 "2x7:3", ], 2362 [ # fusions to 2x7:3 2363 ], 2364 [ # fusions to C3 2365 ], 2366 [ # fusions to C4 2367 "(2xA6).2_3", "Isoclinic(3.A6.2_3x2)", "2.S3", "Isoclinic(L2(25).2_3x2)", 2368 "6.M22M7", "2.RuM1", "(2xL3(3)).2", "Isoclinic(S8x2)", 2369 "Isoclinic(U3(5).2x2)", "2.HSM3", "(2x3.A6).2", "(2xL3(2)).2", "2.J2M8", 2370 "bd10", "bd6", "(2x3^(1+2)_+:8):2", ], 2371 [ # fusions to C6 2372 ], 2373 [ # fusions to 3^2:2 2374 "3^(1+2)_+:2", ], 2375 [ # fusions to 3^(1+2)_+:2 2376 ], 2377 [ # fusions to 3^2:4 2378 "3^2:2", "3^(1+2):4", "3^2:8", "6.A6M3", "(3^2:2xG2(3)).2", ], 2379 [ # fusions to 2^3.S3 2380 ], 2381 [ # fusions to 2^3.D8 2382 ], 2383 [ # fusions to 2^3.S4v1 2384 ], 2385 [ # fusions to 2^3.S4v2 2386 ], 2387 [ # fusions to 2xSymm(4) 2388 ], 2389 [ # fusions to D8x2 2390 ], 2391 [ # fusions to 2^2:S4 2392 ], 2393 [ # fusions to (A4x3):2 2394 "(2.A4x3).2", "3.(A4x3):2", "6.(A4x3).2", ], 2395 [ # fusions to S3x2 2396 "2.D12", ], 2397 [ # fusions to (A5x3):2 2398 "(2.A5x3).2", "2^4:(3xA5).2", "(A4xA5):2", ], 2399 [ # fusions to 2^4:(3x3):2 2400 ], 2401 [ # fusions to 2^3:7 2402 ], 2403 [ # fusions to 2^3 2404 ], 2405 [ # fusions to S3xS3 2406 "2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)", "NRS(M24,2^(2+2+4)b)", ], 2407 [ # fusions to 3^(1+2):4 2408 "6.A6M3", ], 2409 [ # fusions to 4^2:3 2410 ], 2411 [ # fusions to 3^2 2412 "3^(1+2)_+", ], 2413 [ # fusions to 3^(1+2)_+ 2414 ], 2415 [ # fusions to 2.2^4:3 2416 ], 2417 [ # fusions to 2.L2(11) 2418 "2.A5", "2.D12", "2x11:5", ], 2419 [ # fusions to 2.L2(11).2 2420 "2.L2(11)", ], 2421 [ # fusions to 2.L2(13) 2422 "2.D12", "2.D14", "(2x13).6", "2.L2(3)", ], 2423 [ # fusions to 2.L2(13).2 2424 "2.L2(13)", ], 2425 [ # fusions to 2.L2(17) 2426 "2.Symm(4)", "2.D16", "2.D18", "(2x17).8", ], 2427 [ # fusions to 2.L2(17).2 2428 "2.L2(17)", ], 2429 [ # fusions to 2.L2(19) 2430 "2.A5", "2.D18", "2.D20", "2x19:9", ], 2431 [ # fusions to 2.L2(19).2 2432 "2.L2(19)", ], 2433 [ # fusions to Isoclinic(2.L2(19).2) 2434 ], 2435 [ # fusions to 2.L2(23) 2436 "2.Symm(4)", "2.D22", "2.D24", "2x23:11", ], 2437 [ # fusions to 2.L2(23).2 2438 "2.L2(23)", ], 2439 [ # fusions to Isoclinic(2.L2(23).2) 2440 ], 2441 [ # fusions to 2.L2(25) 2442 "Isoclinic(2.A5.2)", "2.D24", "2.D26", "(2x5^2).12", "2.L2(25)M3", ], 2443 [ # fusions to 2.L2(25).2_1 2444 "2.L2(25)", ], 2445 [ # fusions to 2.L2(25).2_2 2446 "2.L2(25)", "5^4:(3x2.L2(25)).2", ], 2447 [ # fusions to Isoclinic(2.L2(25)x2) 2448 ], 2449 [ # fusions to Isoclinic(L2(25).2_3x2) 2450 "4.L2(25).2_3", ], 2451 [ # fusions to 4.L2(25).2_3 2452 "Isoclinic(2.L2(25)x2)", ], 2453 [ # fusions to 2.L2(27) 2454 "2.D26", "2.D28", "2x3^3:13", "2.L2(3)", ], 2455 [ # fusions to 2.L2(27).2 2456 "2.L2(27)", ], 2457 [ # fusions to 2.L2(27).3 2458 "2.L2(27)", ], 2459 [ # fusions to 2.L2(27).6 2460 "2.L2(27)", "2.L2(27).2", "2.L2(27).3", ], 2461 [ # fusions to 2.L2(29) 2462 "2.A5", "2.D28", "2.D30", "(2x29).14", ], 2463 [ # fusions to 2.L2(29).2 2464 "2.L2(29)", ], 2465 [ # fusions to 2.L2(31) 2466 "2.A5", "2.Symm(4)", "2.D30", "2.D32", "2x31:15", ], 2467 [ # fusions to 2.L2(31).2 2468 "2.L2(31)", ], 2469 [ # fusions to J3M3 2470 ], 2471 [ # fusions to L2(11) 2472 "A5", "P43/G1/L1/V1/ext2", "P43/G2/L1/V1/ext2", "P43/G3/L1/V1/ext2", 2473 "P43/G3/L1/V2/ext2", "S3x2", "2.L2(11)", "2.(2xL2(11))", "11:5", ], 2474 [ # fusions to L2(11).2 2475 "2.L2(11).2", "L2(11)", "(L2(11)xM12):2", "11:10", "D24", "D20", "s4", ], 2476 [ # fusions to L2(121)M3 2477 ], 2478 [ # fusions to M12.2M3 2479 ], 2480 [ # fusions to U3(11)M4 2481 ], 2482 [ # fusions to U3(11)M5 2483 ], 2484 [ # fusions to L2(13) 2485 "S3x2", "2.L2(13)", "D14", "13:6", "a4", ], 2486 [ # fusions to L2(13).2 2487 "2.L2(13).2", "L2(13)", "Isoclinic(L2(13).2x2)", "s4", ], 2488 [ # fusions to L2(16) 2489 "A5", ], 2490 [ # fusions to L2(16).2 2491 "L2(16)", "2xA5", "D6xD10", ], 2492 [ # fusions to S4(4)M4 2493 ], 2494 [ # fusions to L2(16).4 2495 "L2(16)", "L2(16).2", ], 2496 [ # fusions to S4(4).2M5 2497 ], 2498 [ # fusions to L2(17) 2499 "2.L2(17)", "D16", "D18", "s4", "17:8", ], 2500 [ # fusions to L2(17).2 2501 "2.L2(17).2", "L2(17)", "17:16", ], 2502 [ # fusions to L2(19) 2503 "A5", "2.L2(19)", "D18", "D20", "19:9", ], 2504 [ # fusions to L2(19).2 2505 "2.L2(19).2", "Isoclinic(2.L2(19).2)", "L2(19)", "19:18", ], 2506 [ # fusions to L2(23) 2507 "2.L2(23)", "D22", "23:11", "D24", "s4", ], 2508 [ # fusions to L2(23).2 2509 "2.L2(23).2", "Isoclinic(2.L2(23).2)", "L2(23)", ], 2510 [ # fusions to L2(25) 2511 "A5.2", "2.L2(25)", "D26", "5^2:12", "L2(25)M3", "D24", ], 2512 [ # fusions to L2(25).2^2 2513 "L2(25).2_1", "L2(25).2_2", "L2(25).2_3", "L2(25).(2x4)", ], 2514 [ # fusions to L2(25).2_1 2515 "2.L2(25).2_1", "L2(25)", ], 2516 [ # fusions to L2(25).2_2 2517 "2.L2(25).2_2", "L2(25)", "2xS5", "(3xL2(25)).2_2", "5^2:(4xS3)", "13:4", ], 2518 [ # fusions to L2(25).2_3 2519 "Isoclinic(L2(25).2_3x2)", "4.L2(25).2_3", "L2(25)", ], 2520 [ # fusions to L2(27) 2521 "2.L2(27)", "D26", "D28", "3^3:13", "a4", ], 2522 [ # fusions to L2(27).2 2523 "2.L2(27).2", "L2(27)", ], 2524 [ # fusions to L2(27).3 2525 "2.L2(27).3", "L2(27)", ], 2526 [ # fusions to L2(27).6 2527 "2.L2(27).6", "L2(27)", "L2(27).2", "L2(27).3", ], 2528 [ # fusions to L2(29) 2529 "A5", "2.L2(29)", "D28", "D30", "29:14", ], 2530 [ # fusions to L2(29).2 2531 "2.L2(29).2", "L2(29)", "frob", ], 2532 [ # fusions to L2(31) 2533 "A5", "Symm(4)", "2.L2(31)", "D30", "D32", "31:15", ], 2534 [ # fusions to L2(31).2 2535 "2.L2(31).2", "L2(31)", ], 2536 [ # fusions to L2(32) 2537 ], 2538 [ # fusions to L2(32).5 2539 "L2(32)", ], 2540 [ # fusions to L2(8) 2541 "P41/G1/L1/V1/ext2", "P41/G1/L1/V1/ext3", "P41/G1/L1/V2/ext2", 2542 "P41/G1/L1/V3/ext3", "P41/G1/L1/V4/ext2", "P41/G1/L1/V4/ext3", 2543 "P41/G2/L1/V1/ext2", "P41/G2/L1/V1/ext3", "2^3:7", "D14", ], 2544 [ # fusions to L2(8).3 2545 "L2(8)", "7:6", "(7xL2(8)).3", "2^3.7.3", ], 2546 [ # fusions to A9M5 2547 ], 2548 [ # fusions to ONM8 2549 ], 2550 [ # fusions to 2.L2(49) 2551 ], 2552 [ # fusions to 2.L2(49).2_1 2553 "2.L2(49)", ], 2554 [ # fusions to 2.L2(49).2_2 2555 "2.L2(49)", ], 2556 [ # fusions to 2.L2(81) 2557 ], 2558 [ # fusions to 2.L2(81).2_1 2559 "2.L2(81)", ], 2560 [ # fusions to 2.L2(81).2_2 2561 "2.L2(81)", ], 2562 [ # fusions to 2.L2(81).4_1 2563 "2.L2(81)", "2.L2(81).2_1", ], 2564 [ # fusions to L2(49) 2565 "2.L2(49)", ], 2566 [ # fusions to L2(49).2_1 2567 "2.L2(49).2_1", "L2(49)", ], 2568 [ # fusions to L2(49).2_2 2569 "2.L2(49).2_2", "L2(49)", ], 2570 [ # fusions to L2(49).2_3 2571 "L2(49)", ], 2572 [ # fusions to L2(49).2^2 2573 "L2(49).2_1", "L2(49).2_2", "L2(49).2_3", ], 2574 [ # fusions to L2(81) 2575 "2.L2(81)", ], 2576 [ # fusions to L2(81).2_1 2577 "2.L2(81).2_1", "L2(81)", ], 2578 [ # fusions to L2(81).2_2 2579 "2.L2(81).2_2", "L2(81)", ], 2580 [ # fusions to L2(81).2_3 2581 "L2(81)", ], 2582 [ # fusions to L2(81).2^2 2583 "L2(81).2_1", "L2(81).2_2", "L2(81).2_3", ], 2584 [ # fusions to L2(81).4_1 2585 "2.L2(81).4_1", "L2(81)", "L2(81).2_1", ], 2586 [ # fusions to L2(81).4_2 2587 "L2(81)", "L2(81).2_1", ], 2588 [ # fusions to L2(81).(2x4) 2589 "L2(81).2^2", "L2(81).4_1", "L2(81).4_2", ], 2590 [ # fusions to 12_1.L3(4) 2591 "12.M22N3", "(2x12).L3(4)", "3x4_1.2^4:A5", ], 2592 [ # fusions to 12_1.L3(4).2_1 2593 "12_1.L3(4)", ], 2594 [ # fusions to 12_1.L3(4).2_2 2595 "12_1.L3(4)", ], 2596 [ # fusions to 12_1.L3(4).2_3 2597 "12_1.L3(4)", ], 2598 [ # fusions to 12_2.L3(4) 2599 "(2x12).L3(4)", "3x4_2.2^4:A5", ], 2600 [ # fusions to 12_2.L3(4).2_1 2601 "12_2.L3(4)", ], 2602 [ # fusions to 12_2.L3(4).2_2 2603 "12_2.L3(4)", ], 2604 [ # fusions to 12_2.L3(4).2_3 2605 "12_2.L3(4)", ], 2606 [ # fusions to 2.L3(4) 2607 "P1/G2/L1/V1/ext2", "12_1.L3(4)", "12_2.L3(4)", "2^2.L3(4)", "4_1.L3(4)", 2608 "4_2.L3(4)", "6.L3(4)", "(2^2x3).L3(4)", "2xA6", "2.L3(4)M4", "2.L3(4)M5", 2609 "2xL3(2)", "2.L3(4)M7", "2.L3(4)M8", "Isoclinic(2x3^2:Q8)", ], 2610 [ # fusions to 2.L3(4).2_1 2611 "12_1.L3(4).2_1", "12_2.L3(4).2_1", "2.L3(4)", "4_1.L3(4).2_1", 2612 "4_2.L3(4).2_1", "6.L3(4).2_1", "2^2.L3(4).2_1", ], 2613 [ # fusions to Isoclinic(2.L3(4).2_1) 2614 "2.L3(4)", "Isoclinic(6.L3(4).2_1)", ], 2615 [ # fusions to 2.L3(4).2_2 2616 "12_1.L3(4).2_2", "12_2.L3(4).2_2", "2.L3(4)", "4_1.L3(4).2_2", 2617 "4_2.L3(4).2_2", "6.L3(4).2_2", "(2^2x3).L3(4).2_2", "2^2.L3(4).2_2", ], 2618 [ # fusions to Isoclinic(2.L3(4).2_2) 2619 "2.L3(4)", "4_2.L3(4).2_2*", ], 2620 [ # fusions to 2.L3(4).2_3 2621 "12_1.L3(4).2_3", "12_2.L3(4).2_3", "2.L3(4)", "4_1.L3(4).2_3", 2622 "4_2.L3(4).2_3", "6.L3(4).2_3", "(2^2x3).L3(4).2_3", "2^2.L3(4).2_3", ], 2623 [ # fusions to Isoclinic(2.L3(4).2_3) 2624 "2.L3(4)", "4_1.L3(4).2_3*", ], 2625 [ # fusions to 2.L3(4).(2^2)_{123} 2626 "2.L3(4).2_1", "2.L3(4).2_2", "2.L3(4).2_3", "4_1.L3(4).(2^2)_{123}", 2627 "4_1.L3(4).(2^2)_{1*23}", "4_1.L3(4).(2^2)_{12*3}", 2628 "4_1.L3(4).(2^2)_{1*2*3}", "4_2.L3(4).(2^2)_{123}", 2629 "4_2.L3(4).(2^2)_{1*23}", "4_2.L3(4).(2^2)_{123*}", 2630 "4_2.L3(4).(2^2)_{1*23*}", "6.L3(4).(2^2)_{123}", "2^2.L3(4).2^2", ], 2631 [ # fusions to 2.L3(4).(2^2)_{1*23} 2632 "Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2", "2.L3(4).2_3", 2633 "6.L3(4).(2^2)_{1*23}", ], 2634 [ # fusions to 2.L3(4).(2^2)_{12*3} 2635 "2.L3(4).2_1", "Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3", 2636 "4_2.L3(4).(2^2)_{12*3}", "4_2.L3(4).(2^2)_{1*2*3}", 2637 "4_2.L3(4).(2^2)_{12*3*}", "4_2.L3(4).(2^2)_{1*2*3*}", 2638 "6.L3(4).(2^2)_{12*3}", ], 2639 [ # fusions to 2.L3(4).(2^2)_{123*} 2640 "2.L3(4).2_1", "2.L3(4).2_2", "Isoclinic(2.L3(4).2_3)", 2641 "4_1.L3(4).(2^2)_{123*}", "4_1.L3(4).(2^2)_{1*23*}", 2642 "4_1.L3(4).(2^2)_{12*3*}", "4_1.L3(4).(2^2)_{1*2*3*}", 2643 "6.L3(4).(2^2)_{123*}", ], 2644 [ # fusions to 2.L3(4).(2^2)_{1*2*3} 2645 "Isoclinic(2.L3(4).2_1)", "Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3", 2646 "6.L3(4).(2^2)_{1*2*3}", ], 2647 [ # fusions to 2.L3(4).(2^2)_{1*23*} 2648 "Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2", "Isoclinic(2.L3(4).2_3)", 2649 "6.L3(4).(2^2)_{1*23*}", ], 2650 [ # fusions to 2.L3(4).(2^2)_{12*3*} 2651 "2.L3(4).2_1", "Isoclinic(2.L3(4).2_2)", "Isoclinic(2.L3(4).2_3)", 2652 "6.L3(4).(2^2)_{12*3*}", ], 2653 [ # fusions to 2.L3(4).(2^2)_{1*2*3*} 2654 "Isoclinic(2.L3(4).2_1)", "Isoclinic(2.L3(4).2_2)", 2655 "Isoclinic(2.L3(4).2_3)", "6.L3(4).(2^2)_{1*2*3*}", ], 2656 [ # fusions to 2^2.L3(4) 2657 "P1/G3/L2/V1/ext2", "(2x4).L3(4)", "(2^2x3).L3(4)", "2^2xA6", 2658 "2^2.L3(4)M4", "2^2.L3(4)M5", "2^2xL2(7)", "2^2.L3(4)M7", "2^2.L3(4)M8", 2659 "2^2.(3^2:Q8)", ], 2660 [ # fusions to (2x4).L3(4) 2661 "4^2.L3(4)", "(2x12).L3(4)", ], 2662 [ # fusions to 4^2.L3(4) 2663 ], 2664 [ # fusions to (4^2x3).L3(4) 2665 ], 2666 [ # fusions to 3.L3(4) 2667 "3.A6", "12_1.L3(4)", "12_2.L3(4)", "6.L3(4)", "(2^2x3).L3(4)", "3x2^4:A5", 2668 "3.L3(4)M4", "3.L3(4)M5", "3.L3(4)M7", "3.L3(4)M8", "3^(1+2)_+:Q8", 2669 "3xL3(2)", "3.U6(2)M3", "6.U6(2)M3", "(2^2x3).U6(2)M3", ], 2670 [ # fusions to 3.L3(4).2^2 2671 "3.L3(4).2_1", "3.L3(4).2_2", "3.L3(4).2_3", "(A4x3.L3(4).2_3).2", ], 2672 [ # fusions to 3.L3(4).2_1 2673 "12_1.L3(4).2_1", "12_2.L3(4).2_1", "3.L3(4)", "6.L3(4).2_1", 2674 "(A4x3.L3(4)).2", ], 2675 [ # fusions to 3.L3(4).2_2 2676 "12_1.L3(4).2_2", "12_2.L3(4).2_2", "3.L3(4)", "6.L3(4).2_2", 2677 "(2^2x3).L3(4).2_2", ], 2678 [ # fusions to 3.L3(4).2_3 2679 "12_1.L3(4).2_3", "12_2.L3(4).2_3", "3.L3(4)", "6.L3(4).2_3", 2680 "Isoclinic(6.L3(4).2_3)", "(2^2x3).L3(4).2_3", ], 2681 [ # fusions to 3.L3(4).3 2682 "3.L3(4)", "(2^2x3).L3(4).3", ], 2683 [ # fusions to 3.L3(4).6 2684 "3.L3(4)", "3.L3(4).2_1", "3.L3(4).3", ], 2685 [ # fusions to 4_1.L3(4) 2686 "12_1.L3(4)", "(2x4).L3(4)", "4_1.2^4:A5", ], 2687 [ # fusions to 4_1.L3(4).2_1 2688 "12_1.L3(4).2_1", "4_1.L3(4)", ], 2689 [ # fusions to Isoclinic(4_1.L3(4).2_1) 2690 "4_1.L3(4)", ], 2691 [ # fusions to 4_1.L3(4).2_2 2692 "12_1.L3(4).2_2", "4_1.L3(4)", ], 2693 [ # fusions to Isoclinic(4_1.L3(4).2_2) 2694 "4_1.L3(4)", ], 2695 [ # fusions to 4_1.L3(4).2_3 2696 "12_1.L3(4).2_3", "4_1.L3(4)", ], 2697 [ # fusions to 4_1.L3(4).2_3* 2698 "4_1.L3(4)", ], 2699 [ # fusions to 4_1.L3(4).(2^2)_{123} 2700 "4_1.L3(4).2_1", "4_1.L3(4).2_2", "4_1.L3(4).2_3", ], 2701 [ # fusions to 4_1.L3(4).(2^2)_{1*23} 2702 "Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2", "4_1.L3(4).2_3", ], 2703 [ # fusions to 4_1.L3(4).(2^2)_{12*3} 2704 "4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", ], 2705 [ # fusions to 4_1.L3(4).(2^2)_{123*} 2706 "4_1.L3(4).2_1", "4_1.L3(4).2_2", "4_1.L3(4).2_3*", ], 2707 [ # fusions to 4_1.L3(4).(2^2)_{1*2*3} 2708 "Isoclinic(4_1.L3(4).2_1)", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", ], 2709 [ # fusions to 4_1.L3(4).(2^2)_{1*23*} 2710 "Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2", "4_1.L3(4).2_3*", ], 2711 [ # fusions to 4_1.L3(4).(2^2)_{12*3*} 2712 "4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3*", ], 2713 [ # fusions to 4_1.L3(4).(2^2)_{1*2*3*} 2714 "Isoclinic(4_1.L3(4).2_1)", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3*", ], 2715 [ # fusions to 4_2.L3(4) 2716 "12_2.L3(4)", "(2x4).L3(4)", "4_2.2^4:A5", ], 2717 [ # fusions to 4_2.L3(4).2_1 2718 "12_2.L3(4).2_1", "4_2.L3(4)", ], 2719 [ # fusions to Isoclinic(4_2.L3(4).2_1) 2720 "4_2.L3(4)", ], 2721 [ # fusions to 4_2.L3(4).2_2 2722 "12_2.L3(4).2_2", "4_2.L3(4)", ], 2723 [ # fusions to 4_2.L3(4).2_2* 2724 "4_2.L3(4)", ], 2725 [ # fusions to 4_2.L3(4).2_3 2726 "12_2.L3(4).2_3", "4_2.L3(4)", ], 2727 [ # fusions to Isoclinic(4_2.L3(4).2_3) 2728 "4_2.L3(4)", ], 2729 [ # fusions to 4_2.L3(4).(2^2)_{123} 2730 "4_2.L3(4).2_1", "4_2.L3(4).2_2", "4_2.L3(4).2_3", ], 2731 [ # fusions to 4_2.L3(4).(2^2)_{1*23} 2732 "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2", "4_2.L3(4).2_3", ], 2733 [ # fusions to 4_2.L3(4).(2^2)_{12*3} 2734 "4_2.L3(4).2_1", "4_2.L3(4).2_2*", "4_2.L3(4).2_3", ], 2735 [ # fusions to 4_2.L3(4).(2^2)_{123*} 2736 "4_2.L3(4).2_1", "4_2.L3(4).2_2", "Isoclinic(4_2.L3(4).2_3)", ], 2737 [ # fusions to 4_2.L3(4).(2^2)_{1*2*3} 2738 "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2*", "4_2.L3(4).2_3", ], 2739 [ # fusions to 4_2.L3(4).(2^2)_{1*23*} 2740 "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2", "Isoclinic(4_2.L3(4).2_3)", ], 2741 [ # fusions to 4_2.L3(4).(2^2)_{12*3*} 2742 "4_2.L3(4).2_1", "4_2.L3(4).2_2*", "Isoclinic(4_2.L3(4).2_3)", ], 2743 [ # fusions to 4_2.L3(4).(2^2)_{1*2*3*} 2744 "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2*", "Isoclinic(4_2.L3(4).2_3)", ], 2745 [ # fusions to 6.L3(4) 2746 "12_1.L3(4)", "12_2.L3(4)", "(2^2x3).L3(4)", "3x2^5.A5", "6xL3(2)", 2747 "6.L3(4)M7", "6.L3(4)M8", "Isoclinic(2x3^(1+2)_+:Q8)", ], 2748 [ # fusions to 6.L3(4).2_1 2749 "12_1.L3(4).2_1", "12_2.L3(4).2_1", "6.L3(4)", "(2^2x3).L3(4).2_1", ], 2750 [ # fusions to Isoclinic(6.L3(4).2_1) 2751 "6.L3(4)", ], 2752 [ # fusions to 6.L3(4).2_2 2753 "12_1.L3(4).2_2", "12_2.L3(4).2_2", "6.L3(4)", "(2^2x3).L3(4).2_2", 2754 "(2x3^(1+2)_+:8):2", ], 2755 [ # fusions to Isoclinic(6.L3(4).2_2) 2756 "6.L3(4)", ], 2757 [ # fusions to 6.L3(4).2_3 2758 "12_1.L3(4).2_3", "12_2.L3(4).2_3", "6.L3(4)", "(2^2x3).L3(4).2_3", ], 2759 [ # fusions to Isoclinic(6.L3(4).2_3) 2760 "6.L3(4)", ], 2761 [ # fusions to 6.L3(4).(2^2)_{123} 2762 "6.L3(4).2_1", "6.L3(4).2_2", "6.L3(4).2_3", ], 2763 [ # fusions to 6.L3(4).(2^2)_{1*23} 2764 "Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2", "6.L3(4).2_3", ], 2765 [ # fusions to 6.L3(4).(2^2)_{12*3} 2766 "6.L3(4).2_1", "Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", ], 2767 [ # fusions to 6.L3(4).(2^2)_{123*} 2768 "6.L3(4).2_1", "6.L3(4).2_2", "Isoclinic(6.L3(4).2_3)", ], 2769 [ # fusions to 6.L3(4).(2^2)_{1*2*3} 2770 "Isoclinic(6.L3(4).2_1)", "Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", ], 2771 [ # fusions to 6.L3(4).(2^2)_{1*23*} 2772 "Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2", "Isoclinic(6.L3(4).2_3)", ], 2773 [ # fusions to 6.L3(4).(2^2)_{12*3*} 2774 "6.L3(4).2_1", "Isoclinic(6.L3(4).2_2)", "Isoclinic(6.L3(4).2_3)", ], 2775 [ # fusions to 6.L3(4).(2^2)_{1*2*3*} 2776 "Isoclinic(6.L3(4).2_1)", "Isoclinic(6.L3(4).2_2)", 2777 "Isoclinic(6.L3(4).2_3)", ], 2778 [ # fusions to (2x12).L3(4) 2779 "(4^2x3).L3(4)", ], 2780 [ # fusions to L3(4) 2781 "A6", "12_1.L3(4)", "12_2.L3(4)", "2.L3(4)", "2^2.L3(4)", "3.L3(4)", 2782 "4_1.L3(4)", "4_2.L3(4)", "6.L3(4)", "(2^2x3).L3(4)", "L3(2)", "2^4:A5", 2783 "L3(4)M4", "L3(4)M5", "L3(4)M7", "L3(4)M8", "L3(4)Syl2", "2^9.L3(4)", 2784 "2.U6(2)M3", "2^2.U6(2)M3", "3^2:Q8", ], 2785 [ # fusions to L3(4).2^2 2786 "A6.2^2", "2.L3(4).(2^2)_{123}", "2.L3(4).(2^2)_{1*23}", 2787 "2.L3(4).(2^2)_{12*3}", "2.L3(4).(2^2)_{123*}", "2.L3(4).(2^2)_{1*2*3}", 2788 "2.L3(4).(2^2)_{1*23*}", "2.L3(4).(2^2)_{12*3*}", "2.L3(4).(2^2)_{1*2*3*}", 2789 "3.L3(4).2^2", "4_1.L3(4).(2^2)_{123}", "4_1.L3(4).(2^2)_{1*23}", 2790 "4_1.L3(4).(2^2)_{12*3}", "4_1.L3(4).(2^2)_{123*}", 2791 "4_1.L3(4).(2^2)_{1*2*3}", "4_1.L3(4).(2^2)_{1*23*}", 2792 "4_1.L3(4).(2^2)_{12*3*}", "4_1.L3(4).(2^2)_{1*2*3*}", 2793 "4_2.L3(4).(2^2)_{123}", "4_2.L3(4).(2^2)_{1*23}", 2794 "4_2.L3(4).(2^2)_{12*3}", "4_2.L3(4).(2^2)_{123*}", 2795 "4_2.L3(4).(2^2)_{1*2*3}", "4_2.L3(4).(2^2)_{1*23*}", 2796 "4_2.L3(4).(2^2)_{12*3*}", "4_2.L3(4).(2^2)_{1*2*3*}", "L3(4).2_1", 2797 "L3(4).2_2", "L3(4).2_3", "2^2.L3(4).2^2", "2xS5", "(A4xL3(4):2_3):2", 2798 "(S6xL3(4).2).2", ], 2799 [ # fusions to U4(3).(2^2)_{133}M6 2800 ], 2801 [ # fusions to L3(4).2_1 2802 "A5.2", "A6.2_3", "12_1.L3(4).2_1", "12_2.L3(4).2_1", "2.L3(4).2_1", 2803 "Isoclinic(2.L3(4).2_1)", "3.L3(4).2_1", "4_1.L3(4).2_1", "4_2.L3(4).2_1", 2804 "6.L3(4).2_1", "L3(4)", "2^2.L3(4).2_1", "L3(2).2", "(a4xpsl(3,4)):2", ], 2805 [ # fusions to L3(4).2_2 2806 "A6.2_1", "12_1.L3(4).2_2", "12_2.L3(4).2_2", "2.L3(4).2_2", "3.L3(4).2_2", 2807 "4_1.L3(4).2_2", "4_2.L3(4).2_2", "6.L3(4).2_2", "L3(4)", 2808 "(2^2x3).L3(4).2_2", "2^2.L3(4).2_2", "2^4:s5", "3^2:Q8.2", ], 2809 [ # fusions to L3(4).2_3 2810 "A6.2_2", "12_1.L3(4).2_3", "12_2.L3(4).2_3", "2.L3(4).2_3", "3.L3(4).2_3", 2811 "4_1.L3(4).2_3", "4_2.L3(4).2_3", "6.L3(4).2_3", "L3(4)", 2812 "(2^2x3).L3(4).2_3", "2^2.L3(4).2_3", "L3(2).2", "2xA5", "3^2:Q8.2", ], 2813 [ # fusions to L3(4).3 2814 "3.L3(4).3", "L3(4)", "(2^2x3).L3(4).3", "2^2.L3(4).3", "3^2:2A4", ], 2815 [ # fusions to L3(4).3.2_2 2816 "L3(4).2_2", "L3(4).3", "2^2.L3(4).3.2_2", "3.L3(4).3.2_2", "2^4:(3xA5).2", 2817 "2^2.psl(3,4).s3", ], 2818 [ # fusions to L3(4).3.2_3 2819 "L3(4).2_3", "L3(4).3", "2^2.L3(4).3.2_3", ], 2820 [ # fusions to L3(4).6 2821 "3.L3(4).6", "L3(4)", "L3(4).2_1", "L3(4).3", "2^2.L3(4).6", ], 2822 [ # fusions to L3(4).D12 2823 "L3(4).2^2", "L3(4).3.2_2", "L3(4).3.2_3", "L3(4).6", "2^2.L3(4).D12", 2824 "S5xS3", "2x3^2.2.S4", "2^(2+4):(S3xS3)", "S3x7:6", ], 2825 [ # fusions to (2^2x3).L3(4) 2826 "(2x12).L3(4)", ], 2827 [ # fusions to (2^2x3).L3(4).2_1 2828 ], 2829 [ # fusions to (2^2x3).L3(4).2_2 2830 "(2^2x3).L3(4)", ], 2831 [ # fusions to (2^2x3).L3(4).2_3 2832 "(2^2x3).L3(4)", ], 2833 [ # fusions to (2^2x3).L3(4).3 2834 "(2^2x3).L3(4)", ], 2835 [ # fusions to 2^2.L3(4).2_1 2836 "2^2.L3(4)", ], 2837 [ # fusions to 2^2.L3(4).2_2 2838 "2^2.L3(4)", "(2^2x3).L3(4).2_2", "2^2.(3^2:Q8.2)", "D8xL3(2)", "2^2.S6", 2839 "M24C2B", ], 2840 [ # fusions to 2^2.L3(4).2_3 2841 "2^2.L3(4)", "(2^2x3).L3(4).2_3", ], 2842 [ # fusions to 2^2.L3(4).3 2843 "2^2.L3(4)", "(2^2x3).L3(4).3", "A4x7:3", "2^2.(3^2:2A4)", "2^6:(3xA5)", ], 2844 [ # fusions to 2^2.L3(4).3.2_2 2845 "2^2.L3(4).2_2", "2^2.L3(4).3", ], 2846 [ # fusions to 2^2.L3(4).3.2_3 2847 "2^2.L3(4).2_3", "2^2.L3(4).3", ], 2848 [ # fusions to 3.L3(4).3.2_2 2849 "3.L3(4).2_2", "3.L3(4).3", ], 2850 [ # fusions to 2^2.L3(4).2^2 2851 "2^2.L3(4).2_1", "2^2.L3(4).2_2", "2^2.L3(4).2_3", ], 2852 [ # fusions to 2^2.L3(4).6 2853 "2^2.L3(4).2_1", "2^2.L3(4).3", ], 2854 [ # fusions to 2^2.L3(4).D12 2855 "2^2.L3(4).3.2_2", "2^2.L3(4).3.2_3", "2^2.L3(4).2^2", "2^2.L3(4).6", ], 2856 [ # fusions to 2.L3(2) 2857 "P12/G1/L2/V1/ext2", "P12/G1/L2/V1/ext3", "2.Symm(4)", "2x7:3", 2858 "7^(1+2).Sp(2,7)", "7^2:2psl(2,7)", ], 2859 [ # fusions to 2.L3(2).2 2860 "2.L3(2)", ], 2861 [ # fusions to Isoclinic(2.L3(2).2) 2862 "7^(2+1+2):GL2(7)", "7^2:2.L2(7).2", ], 2863 [ # fusions to 2F4(2)'M2 2864 ], 2865 [ # fusions to 3.L3(7) 2866 "3^(1+2)_+:Q8", "3.(A4x3):2", "3x7^2:2.L2(7).2", "3.L3(7)M2", "3xL3(2).2", 2867 "3.L3(7)M4", "3.L3(7)M5", "3x19:3", ], 2868 [ # fusions to 3.L3(7).2 2869 "3.L3(7)", ], 2870 [ # fusions to 3.L3(7).3 2871 "3.L3(7)", ], 2872 [ # fusions to 3.L3(7).S3 2873 "3.L3(7).2", "3.L3(7).3", ], 2874 [ # fusions to L3(2) 2875 "2^(3+1+3).L3(2)", "P11/G1/L1/V1/ext2", "P11/G1/L1/V1/ext3", 2876 "P11/G1/L1/V1/ext4", "P11/G1/L1/V2/ext2", "P11/G1/L1/V2/ext4", 2877 "P11/G1/L1/V3/ext2", "P11/G1/L1/V3/ext4", "P11/G2/L1/V1/ext2", 2878 "P11/G2/L1/V1/ext3", "P11/G2/L1/V2/ext2", "P11/G3/L1/V1/ext2", 2879 "P11/G3/L1/V1/ext3", "P11/G3/L1/V2/ext3", "P11/G3/L3/V1/ext2", 2880 "P11/G3/L3/V2/ext3", "P11/G3/L4/V2/ext2", "P11/G3/L4/V2/ext3", 2881 "P11/G3/L4/V3/ext2", "P11/G4/L1/V1/ext2", "P11/G4/L1/V1/ext3", 2882 "P12/G1/L2/V1/ext2", "P13/G1/L2/V1/ext2", "P13/G1/L6/V1/ext2", "Symm(4)", 2883 "7:3", "2.L3(2)", "3x2.L3(2)", "2^3:sl(3,2)", "2x2^3:L3(2)", "4.M22M6", 2884 "2.2^3+8:L3(2)", "2^1+6.psl(3,2)", "2^3+8:L3(2)", "2^(1+3):L3(2)", 2885 "4^3.L3(2)", "4^3:psl(3,2)", "4^3:(L3(2)x2)", "2.4^3.L3(2)", "2^6:L3(2)", 2886 "ons1", "M23C2A", "M24C2A", "s4", "2^3.L3(2)", ], 2887 [ # fusions to L3(2).2 2888 "2.L3(2).2", "Isoclinic(2.L3(2).2)", "L3(2)", "(L3(2)xS4(4):2).2", 2889 "(7^2:(3x2A4)xL2(7)).2", "(A7xL2(7)):2", "(2xL3(2)).2", "7:6", ], 2890 [ # fusions to L3(3) 2891 "13:3", "3^3:L3(3)", "3^2.2.S4", "3^6:L3(3)", "s4", ], 2892 [ # fusions to L3(3).2 2893 "L3(3)", "(13:6xL3(3)).2", "(2xL3(3)).2", "13:6", "3^(1+2):D8", ], 2894 [ # fusions to G2(3)M6 2895 "3.G2(3)M6", ], 2896 [ # fusions to L3(5) 2897 "A5.2", "31:3", "5^(3+3).(2xL3(5))", "5^2:4s5", "5^3.psl(3,5)", "4^2:s3", ], 2898 [ # fusions to L3(5).2 2899 "L3(5)", ], 2900 [ # fusions to L3(7) 2901 "(A4x3):2", "3.L3(7)", "L3(2).2", "19:3", "L3(7)M2", "L3(7)M4", "L3(7)M5", 2902 "7^2:2.L2(7).2", "3^2:Q8", ], 2903 [ # fusions to L3(7).2 2904 "3.L3(7).2", "L3(7)", ], 2905 [ # fusions to L3(7).3 2906 "3.L3(7).3", "L3(7)", ], 2907 [ # fusions to L3(7).S3 2908 "3.L3(7).S3", "L3(7).2", "L3(7).3", ], 2909 [ # fusions to L3(8) 2910 "L3(2)", "73:3", "2^6:(7xL2(8))", "7^2:S3", ], 2911 [ # fusions to L3(8).2 2912 "L3(8)", ], 2913 [ # fusions to L3(8).3 2914 "L3(8)", ], 2915 [ # fusions to L3(8).6 2916 "L3(8)", "L3(8).2", "L3(8).3", ], 2917 [ # fusions to ONM2 2918 ], 2919 [ # fusions to 2.L4(3) 2920 ], 2921 [ # fusions to 2.L4(3).2_1 2922 "2.L4(3)", ], 2923 [ # fusions to 2.L4(3).2_2 2924 "2.L4(3)", ], 2925 [ # fusions to 2.L4(3).2_3 2926 "2.L4(3)", ], 2927 [ # fusions to L3(9) 2928 "A6.2_2", "L3(3)", "91:3", "3^4:GL2(9)", "8^2:S3", "U3(3)", ], 2929 [ # fusions to L3(9).2_1 2930 "L3(9)", ], 2931 [ # fusions to L3(9).2_2 2932 "L3(9)", ], 2933 [ # fusions to L3(9).2_3 2934 "L3(9)", ], 2935 [ # fusions to L3(9).2^2 2936 "L3(9).2_1", "L3(9).2_2", "L3(9).2_3", ], 2937 [ # fusions to L4(3) 2938 "A6.2_2", "2.L4(3)", "S4xS4", "3^3:L3(3)", "L4(3)M4", "3^4:2(A4xA4).2", 2939 "(4xA6):2", "3^6:L4(3)", "O8+(3)M8", "O8+(3)M9", "U4(2).2", ], 2940 [ # fusions to L4(3).2_1 2941 "2.L4(3).2_1", "L4(3)", ], 2942 [ # fusions to L4(3).2_2 2943 "2.L4(3).2_2", "L4(3)", "3x2.L4(3).2_2", ], 2944 [ # fusions to L4(3).2_3 2945 "2.L4(3).2_3", "L4(3)", ], 2946 [ # fusions to L4(3).2^2 2947 "L4(3).2_1", "L4(3).2_2", "L4(3).2_3", ], 2948 [ # fusions to L5(2) 2949 "31:5", "[2^30].L5(2)", "2^4:a8", "2^6:(psl(3,2)xs3)", "2^5.psl(5,2)", 2950 "2^10:L5(2)", "P1L62", "2^5:L5(2)", ], 2951 [ # fusions to L5(2).2 2952 "L5(2)", ], 2953 [ # fusions to L6(2) 2954 "3.L3(4).3.2_2", "2^6:L6(2)", "P2L62", "P3L62", "2^5:L5(2)", "(7xL2(8)).3", 2955 "L3(2)wr2", "S6(2)", ], 2956 [ # fusions to L6(2).2 2957 "L6(2)", ], 2958 [ # fusions to L4(4) 2959 ], 2960 [ # fusions to L4(4).2_1 2961 "L4(4)", ], 2962 [ # fusions to L4(4).2_2 2963 "L4(4)", ], 2964 [ # fusions to L4(4).2_3 2965 "L4(4)", ], 2966 [ # fusions to L4(4).2^2 2967 "L4(4).2_1", "L4(4).2_2", "L4(4).2_3", ], 2968 [ # fusions to L7(2) 2969 "127:7", "2^6:L6(2)", "P1L82", "2^10:(L5(2)xS3)", "2^12:(L4(2)xL3(2))", ], 2970 [ # fusions to L7(2).2 2971 "L7(2)", ], 2972 [ # fusions to L5(3) 2973 ], 2974 [ # fusions to L5(3).2 2975 "L5(3)", ], 2976 [ # fusions to L2(37) 2977 ], 2978 [ # fusions to L2(41) 2979 ], 2980 [ # fusions to L2(43) 2981 ], 2982 [ # fusions to L2(47) 2983 ], 2984 [ # fusions to L2(53) 2985 ], 2986 [ # fusions to L2(59) 2987 ], 2988 [ # fusions to L2(61) 2989 ], 2990 [ # fusions to L2(64) 2991 ], 2992 [ # fusions to L2(64).6 2993 "L2(64)", ], 2994 [ # fusions to L2(67) 2995 ], 2996 [ # fusions to L2(71) 2997 ], 2998 [ # fusions to L2(73) 2999 ], 3000 [ # fusions to L2(79) 3001 ], 3002 [ # fusions to L2(83) 3003 ], 3004 [ # fusions to L2(89) 3005 ], 3006 [ # fusions to L2(97) 3007 ], 3008 [ # fusions to L2(101) 3009 ], 3010 [ # fusions to L2(103) 3011 ], 3012 [ # fusions to L2(107) 3013 ], 3014 [ # fusions to L2(109) 3015 "A5", "109:54", "D110", "D108", ], 3016 [ # fusions to L2(113) 3017 "113:56", "D114", "D112", "s4", ], 3018 [ # fusions to L2(121) 3019 "L2(11).2", "L2(121)M3", "D122", "11^2:60", "D120", ], 3020 [ # fusions to L2(125) 3021 "A5", "D126", "D62x2", "5^3:62", ], 3022 [ # fusions to L4(5) 3023 "2.L4(5)", ], 3024 [ # fusions to 2.L4(5) 3025 ], 3026 [ # fusions to 4.L4(5) 3027 ], 3028 [ # fusions to L4(9) 3029 ], 3030 [ # fusions to L8(2) 3031 "S8(2)", ], 3032 [ # fusions to L3(11) 3033 "L2(11).2", "L3(2)", "133:3", "10^2:S3", "11^2:(5x2L2(11).2)", ], 3034 [ # fusions to 12.M22 3035 "NDG(12.M22,3^2)", "12.M22N3", "3x4.M22N2", "12_1.L3(4)", "12.M22M2", 3036 "2.(2x3.A7)", "3x4.M22M5", "3x4.M22M6", "12.M22M7", "3x2.(2xL2(11))", ], 3037 [ # fusions to 12.M22.2 3038 "12.M22", ], 3039 [ # fusions to Isoclinic(12.M22.2) 3040 ], 3041 [ # fusions to 2.M12 3042 "2.M12N2", "2xM12N3", "2.L2(11)", "2xM11", "2.M12M2", "2.M12M4", 3043 "2x3^2.2.S4", "2.M12M7", "2.M12M8", "2.M12M9", "2.M12M10", "2.A4xS3", 3044 "3^6:2M12", "A6.D8", ], 3045 [ # fusions to 2.M12.2 3046 "2.M12", "2xL2(11).2", ], 3047 [ # fusions to Isoclinic(2.M12.2) 3048 ], 3049 [ # fusions to 2.M22 3050 "(2xA6).2_3", "2.L3(4)", "12.M22", "4.M22", "6.M22", "2^2.U6(2)M12", 3051 "(2^2x3).U6(2)M12", "2.M22M5", "2.M22M2", "2xA7", "2x2^3:L3(2)", 3052 "2xL2(11)", ], 3053 [ # fusions to 2.M22.2 3054 "2.L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", "2.M22", "4.M22.2", 3055 "Isoclinic(4.M22.2)", "6.M22.2", "2x2^3:L3(2)x2", "(2xA6).2^2", 3056 "2xL2(11).2", "2^5:S6", "2^6:S5", ], 3057 [ # fusions to Isoclinic(2.M22.2) 3058 ], 3059 [ # fusions to 3.M22 3060 "3.A6.2_3", "3.A7", "3.L3(4)", "12.M22", "6.M22", "3^(1+2)_+:Q8", 3061 "2x6.M22", "3.M22M2", "3x2^4:s5", "3x2^3:L3(2)", "3xL2(11)", "3.Fi22M5", 3062 "6.Fi22M5", ], 3063 [ # fusions to 3.M22.2 3064 "12.M22.2", "Isoclinic(12.M22.2)", "3.M22", "6.M22.2", 3065 "Isoclinic(6.M22.2)", "2^4:3.S6", "c2aj4", ], 3066 [ # fusions to 4.M22 3067 "4.M22N2", "4_1.L3(4)", "12.M22", "4.M22M2", "2.(2xA7)", "4.M22M5", 3068 "4.M22M6", "(4xA6).2_3", "2.(2xL2(11))", ], 3069 [ # fusions to 4.M22.2 3070 "12.M22.2", "4.M22", ], 3071 [ # fusions to Isoclinic(4.M22.2) 3072 ], 3073 [ # fusions to 6.M22 3074 "6.L3(4)", "12.M22", "(2^2x3).U6(2)M12", "6.M22M2", "2x(3.A7)", 3075 "3x2.M22M5", "6x2^3:L3(2)", "6.M22M7", "6xL2(11)", ], 3076 [ # fusions to 6.M22.2 3077 "6.L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", "6.M22", ], 3078 [ # fusions to Isoclinic(6.M22.2) 3079 ], 3080 [ # fusions to HNM12 3081 ], 3082 [ # fusions to HSM9 3083 "2.HSM9", ], 3084 [ # fusions to M11 3085 "A5.2", "A6.2_3", "P48/G1/L1/V1/ext2", "P48/G1/L1/V2/ext2", "L2(11)", 3086 "2.S4", "3^5:M11", "3^6.M11", "3^2:Q8.2", "M11N2", "5:4", "11:5", ], 3087 [ # fusions to M12 3088 "A6.2^2", "M12M4", "L2(11)", "2.M12", "M11", "M12M2", "2xS5", "3^2.2.S4", 3089 "4^2:D12", "A4xS3", "M12M7", "M8.S4", "M12N2", "M12N3", "2x5:4", "11:5", ], 3090 [ # fusions to M12.2 3091 "A5.2", "L2(11).2", "M12.2M3", "2.M12.2", "Isoclinic(2.M12.2)", "M12", 3092 "(L2(11)xM12):2", "4^2:D12.2", "S4xS3", "11:10", "(2^2xA5):2", "D8.(S4x2)", 3093 "3^(1+2):D8", ], 3094 [ # fusions to M12M2 3095 "2.M12M2", ], 3096 [ # fusions to M22 3097 "A6.2_3", "A7", "7:3", "L2(11)", "L3(4)", "12.M22", "2.M22", "3.M22", 3098 "4.M22", "6.M22", "2x3.M22", "2x2.M22", "2x6.M22", "2^4:s5", "2^3:sl(3,2)", 3099 "2^4:a6", "M22C2A", "2^10:m22", "2.Fi22M5", "2^4:3^2:4", "2^10:M22'", 3100 "2^4:D8", "3^2:Q8", "5:4", "11:5", ], 3101 [ # fusions to M22.2 3102 "A6.2^2", "L2(11).2", "L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", 3103 "2.M22.2", "Isoclinic(2.M22.2)", "3.M22.2", "4.M22.2", 3104 "Isoclinic(4.M22.2)", "6.M22.2", "Isoclinic(6.M22.2)", "M22", 3105 "2x2^3:L3(2)", "M22.2M4", "2^10:m22:2", "Fi22.2M4", "s4wrs2", "M22.2M3", ], 3106 [ # fusions to M23 3107 "A8", "2x7:3", "L3(4).2_2", "M11", "M22", "23:11", "2^4:(3xA5).2", 3108 "2^4:a7", "2..11.m23", "M23C2A", "2^4:D8", "3^2:Q8.2", "11:5", "(3xD10).2", ], 3109 [ # fusions to M24 3110 "3.A6.2_1", "2^(3+1+3).L3(2)", "2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)", 3111 "NRS(M24,2^(2+2+4)b)", "[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b", 3112 "NRS(M24,[2^9]b)", "L3(2)xS3", "L2(23)", "L3(4).3.2_2", "L3(2)", "M12.2", 3113 "M22.2", "M23", "23:11", "2^4:a8", "2^6:(psl(3,2)xs3)", "2^6:3.s6", 3114 "3^2.2.S4", "2.2^11:M24", "2^11:M24", "2^12.M24", "11:10", "F3+M7", 3115 "mx1j4", "M24C2B", "M24C2A", "2^6:3^(1+2).D8", "3^(1+2):D8", "M24N2", 3116 "7:3xS3", "(A4xD10).2", ], 3117 [ # fusions to McLM3 3118 "3.McLM3", ], 3119 [ # fusions to 3.McLM3 3120 ], 3121 [ # fusions to ONM11 3122 ], 3123 [ # fusions to 2.A12M8 3124 ], 3125 [ # fusions to 3^7.O7(3):2 3126 "3^7.O7(3)", ], 3127 [ # fusions to 2^(3+12).(L3(2)xA6) 3128 ], 3129 [ # fusions to 2^(6+8).(S3xA8) 3130 ], 3131 [ # fusions to 3^2.3^4.3^8.(A5x2A4).2 3132 ], 3133 [ # fusions to S3xO8+(3):S3 3134 ], 3135 [ # fusions to 3^(1+10):(2xU5(2):2) 3136 ], 3137 [ # fusions to 2^2.U6(2):S3x2 3138 ], 3139 [ # fusions to 2^(1+12)_+.3_1.U4(3).2^2_{122} 3140 ], 3141 [ # fusions to 3^3.[3^10].(L3(3)x2^2) 3142 ], 3143 [ # fusions to 3^2.3^4.3^8.(S5x2S4) 3144 ], 3145 [ # fusions to S4xO8+(2):S3 3146 "(A4xO8+(2).3).2", ], 3147 [ # fusions to 2^(3+12).(L3(2)xS6) 3148 ], 3149 [ # fusions to 2^(7+8).(S3xA8) 3150 ], 3151 [ # fusions to (S3xS3xG2(3)):2 3152 "(3^(1+2):2^2xG2(3)):2", ], 3153 [ # fusions to S5xS9 3154 ], 3155 [ # fusions to S6xL2(8):3 3156 ], 3157 [ # fusions to 7:6xS7 3158 ], 3159 [ # fusions to 7^(1+2)_+:(6xS3).2 3160 "3.F3+.2N7", "7^(1+2):(S3x6)", ], 3161 [ # fusions to 13:3 3162 ], 3163 [ # fusions to 19:3 3164 ], 3165 [ # fusions to 31:3 3166 ], 3167 [ # fusions to 37:3 3168 ], 3169 [ # fusions to 43:3 3170 ], 3171 [ # fusions to 73:3 3172 ], 3173 [ # fusions to 91:3 3174 ], 3175 [ # fusions to 133:3 3176 ], 3177 [ # fusions to 31:5 3178 ], 3179 [ # fusions to 109:54 3180 ], 3181 [ # fusions to 113:56 3182 ], 3183 [ # fusions to D14 3184 "D126", "2.D14", ], 3185 [ # fusions to D110 3186 ], 3187 [ # fusions to D114 3188 ], 3189 [ # fusions to D122 3190 ], 3191 [ # fusions to D126 3192 ], 3193 [ # fusions to S6x2 3194 "S3xS6", ], 3195 [ # fusions to S7x2 3196 "S7xS3", "3.s7x2", ], 3197 [ # fusions to S8x2 3198 "S8xS3", ], 3199 [ # fusions to S9x2 3200 ], 3201 [ # fusions to S10x2 3202 ], 3203 [ # fusions to S11x2 3204 ], 3205 [ # fusions to S5xS3 3206 "S5xS4", "2^(2+8):(S5xS3)", "2^(4+10)(S5xS3)", ], 3207 [ # fusions to S7xS3 3208 "S7xS4", ], 3209 [ # fusions to S8xS3 3210 ], 3211 [ # fusions to S9xS3 3212 ], 3213 [ # fusions to S10xS3 3214 ], 3215 [ # fusions to S4xS4 3216 ], 3217 [ # fusions to S5xS4 3218 ], 3219 [ # fusions to S6xS4 3220 "2.(S6xS4)", "3x2.(S6xS4)", ], 3221 [ # fusions to S7xS4 3222 ], 3223 [ # fusions to S8xS4 3224 ], 3225 [ # fusions to S9xS4 3226 ], 3227 [ # fusions to S6xS5 3228 ], 3229 [ # fusions to S7xS5 3230 ], 3231 [ # fusions to S8xS5 3232 ], 3233 [ # fusions to S7xS6 3234 ], 3235 [ # fusions to (A10x3):2 3236 ], 3237 [ # fusions to (A9xA4):2 3238 ], 3239 [ # fusions to (A8xA5):2 3240 ], 3241 [ # fusions to (A7xA6):2 3242 ], 3243 [ # fusions to D62x2 3244 ], 3245 [ # fusions to S3xL2(8) 3246 ], 3247 [ # fusions to 5xA5 3248 ], 3249 [ # fusions to 3xL2(8) 3250 ], 3251 [ # fusions to 5xIsoclinic(2.A6.2_2) 3252 ], 3253 [ # fusions to 3xU4(2) 3254 "3x2.SuzM4", "3x2^(1+6)_-.U4(2)", "A4xU4(2)", "2.(A4xU4(2))", ], 3255 [ # fusions to 3^(1+2)+:2A4 3256 ], 3257 [ # fusions to S3x3^(1+2)+:2A4 3258 ], 3259 [ # fusions to 3x2S5 3260 ], 3261 [ # fusions to 7:3x3 3262 ], 3263 [ # fusions to M10x2 3264 "3^4:(M10x2)", ], 3265 [ # fusions to L2(8):3x2 3266 "s3xpsl(2,8).3", ], 3267 [ # fusions to 2^2xA6 3268 ], 3269 [ # fusions to 2^2.L3(4)M4 3270 ], 3271 [ # fusions to 2^2.L3(4)M5 3272 ], 3273 [ # fusions to 2^2xL2(7) 3274 ], 3275 [ # fusions to 2^2.L3(4)M7 3276 ], 3277 [ # fusions to 2^2.L3(4)M8 3278 ], 3279 [ # fusions to A4x7:3 3280 ], 3281 [ # fusions to 2^4:A5 3282 "A5", ], 3283 [ # fusions to L3(4)M4 3284 "2.L3(4)M4", ], 3285 [ # fusions to L3(4)M5 3286 "2.L3(4)M5", ], 3287 [ # fusions to L3(4)M7 3288 "2.L3(4)M7", ], 3289 [ # fusions to L3(4)M8 3290 "2.L3(4)M8", ], 3291 [ # fusions to 2xA6 3292 "3^4:(2xA6)", ], 3293 [ # fusions to 2.L3(4)M4 3294 ], 3295 [ # fusions to 2.L3(4)M5 3296 ], 3297 [ # fusions to 2xL3(2) 3298 "6xL3(2)", ], 3299 [ # fusions to 2.L3(4)M7 3300 "6.L3(4)M7", ], 3301 [ # fusions to 2.L3(4)M8 3302 "6.L3(4)M8", ], 3303 [ # fusions to Isoclinic(2x3^2:Q8) 3304 ], 3305 [ # fusions to 4_1.2^4:A5 3306 "3x4_1.2^4:A5", ], 3307 [ # fusions to 4_2.2^4:A5 3308 "3x4_2.2^4:A5", ], 3309 [ # fusions to 3x2^4:A5 3310 ], 3311 [ # fusions to 3.L3(4)M4 3312 ], 3313 [ # fusions to 3.L3(4)M5 3314 ], 3315 [ # fusions to 3.L3(4)M7 3316 "6.L3(4)M7", ], 3317 [ # fusions to 3.L3(4)M8 3318 "6.L3(4)M8", ], 3319 [ # fusions to 3^(1+2)_+:Q8 3320 ], 3321 [ # fusions to 3x2^5.A5 3322 "3x4_1.2^4:A5", "3x4_2.2^4:A5", ], 3323 [ # fusions to 6xL3(2) 3324 ], 3325 [ # fusions to 6.L3(4)M7 3326 ], 3327 [ # fusions to 6.L3(4)M8 3328 ], 3329 [ # fusions to Isoclinic(2x3^(1+2)_+:Q8) 3330 "12.M22N3", ], 3331 [ # fusions to 3x4_1.2^4:A5 3332 ], 3333 [ # fusions to 3x4_2.2^4:A5 3334 ], 3335 [ # fusions to 3^(1+4)_+.2S4 3336 "4.3^(1+4)_+.2S4", "3^2.(3^(1+4)_+.2S4)", ], 3337 [ # fusions to 2(A4xA4).2^2 3338 ], 3339 [ # fusions to U4(3)M3 3340 ], 3341 [ # fusions to U4(3)M9 3342 ], 3343 [ # fusions to U4(3)M12 3344 ], 3345 [ # fusions to 2.A6M2 3346 "6.A6M2", ], 3347 [ # fusions to 3^2:8 3348 "6.A6M3", ], 3349 [ # fusions to 2.A6M5 3350 "6.A6M5", ], 3351 [ # fusions to 3xA5 3352 "3x2.A5", ], 3353 [ # fusions to 3.A6M2 3354 "6.A6M2", ], 3355 [ # fusions to 3xSymm(4) 3356 "3x2.Symm(4)", ], 3357 [ # fusions to 3.A6M5 3358 "6.A6M5", ], 3359 [ # fusions to 3x2.A5 3360 ], 3361 [ # fusions to 6.A6M2 3362 ], 3363 [ # fusions to 3x2.Symm(4) 3364 ], 3365 [ # fusions to 6.A6M5 3366 ], 3367 [ # fusions to 2.A4x3 3368 ], 3369 [ # fusions to (2.A4x3).2 3370 "2.A4x3", "6.(A4x3).2", ], 3371 [ # fusions to 3xL3(2) 3372 "6xL3(2)", "3x2.L3(2)", "2^{3+6}:(L3(2)x3)", ], 3373 [ # fusions to 3xA5.2 3374 "3xIsoclinic(2.A5.2)", ], 3375 [ # fusions to 3.(A4x3):2 3376 "6.(A4x3).2", ], 3377 [ # fusions to 3x2.L3(2) 3378 ], 3379 [ # fusions to 3xIsoclinic(2.A5.2) 3380 ], 3381 [ # fusions to (2.A5x3).2 3382 "3x2.A5", ], 3383 [ # fusions to 2.A6x3 3384 ], 3385 [ # fusions to (2.A6x3).2_1 3386 "2.A6x3", ], 3387 [ # fusions to 2.A9M5 3388 ], 3389 [ # fusions to 2.(A5xA4).2 3390 ], 3391 [ # fusions to (2x3^3).S4 3392 ], 3393 [ # fusions to 3^2:2A4 3394 ], 3395 [ # fusions to U3(8)M4 3396 ], 3397 [ # fusions to U3(8)M5 3398 ], 3399 [ # fusions to 2x3^2:2A4 3400 ], 3401 [ # fusions to A7x3 3402 ], 3403 [ # fusions to (A7x3).2 3404 "A7x3", "(2.A7x3).2", ], 3405 [ # fusions to 2.A7x3 3406 ], 3407 [ # fusions to (2.A7x3).2 3408 "2.A7x3", ], 3409 [ # fusions to (A5xA5):4 3410 "2.(A5xA5).4", ], 3411 [ # fusions to 2.(A5xA5).4 3412 ], 3413 [ # fusions to (A6xA4).2 3414 "2.(A6xA4).2", ], 3415 [ # fusions to 2.(A6xA4).2 3416 ], 3417 [ # fusions to A8x3 3418 ], 3419 [ # fusions to (A8x3).2 3420 "A8x3", "(2.A8x3).2", ], 3421 [ # fusions to (2.A8x3).2 3422 "3x2.A8", ], 3423 [ # fusions to (A7xA4):2 3424 "2.(A7xA4).2", ], 3425 [ # fusions to 2.(A7xA4).2 3426 ], 3427 [ # fusions to (A6xA5):2 3428 "2.(A6xA5).2", ], 3429 [ # fusions to 2.(A6xA5).2 3430 ], 3431 [ # fusions to A9x3 3432 ], 3433 [ # fusions to (A9x3):2 3434 "A9x3", "(2.A9x3).2", ], 3435 [ # fusions to 2.A9x3 3436 ], 3437 [ # fusions to (2.A9x3).2 3438 "2.A9x3", ], 3439 [ # fusions to 7^(1+2).Sp(2,7) 3440 ], 3441 [ # fusions to [2^30].L5(2) 3442 ], 3443 [ # fusions to 2^(9+16).S8(2) 3444 ], 3445 [ # fusions to [2^35].(S5xL3(2)) 3446 ], 3447 [ # fusions to 2^(2+10+20).(M22.2xS3) 3448 ], 3449 [ # fusions to 3^(1+12):6.Suz.2 3450 "6.Suz.2", ], 3451 [ # fusions to 3^12.6.Suz.2 3452 "3^(1+12):6.Suz.2", ], 3453 [ # fusions to 3^(1+12).2.Suz.2 3454 "3^(1+12):6.Suz.2", ], 3455 [ # fusions to 5^(1+6):2.J2.4 3456 "MN5", ], 3457 [ # fusions to (7:3xHe):2 3458 ], 3459 [ # fusions to (A5xA12):2 3460 ], 3461 [ # fusions to 5^(3+3).(2xL3(5)) 3462 ], 3463 [ # fusions to (A6xA6xA6).(2xS4) 3464 ], 3465 [ # fusions to (A5xU3(8):3):2 3466 ], 3467 [ # fusions to 5^(2+2+4):(S3xGL2(5)) 3468 ], 3469 [ # fusions to (L3(2)xS4(4):2).2 3470 ], 3471 [ # fusions to (5^2:[2^4]xU3(5)).S3 3472 ], 3473 [ # fusions to (L2(11)xM12):2 3474 ], 3475 [ # fusions to (A7x(A5xA5):2^2):2 3476 ], 3477 [ # fusions to 5^4:(3x2.L2(25)).2 3478 ], 3479 [ # fusions to 7^(2+1+2):GL2(7) 3480 ], 3481 [ # fusions to M11xA6.2^2 3482 ], 3483 [ # fusions to (S5xS5xS5):S3 3484 "S3", ], 3485 [ # fusions to (L2(11)xL2(11)):4 3486 ], 3487 [ # fusions to 13^2:2.L2(13).4 3488 ], 3489 [ # fusions to (7^2:(3x2A4)xL2(7)).2 3490 "7^2:(3x2A4)", ], 3491 [ # fusions to (13:6xL3(3)).2 3492 ], 3493 [ # fusions to 3^3:L3(3) 3494 ], 3495 [ # fusions to L4(3)M4 3496 ], 3497 [ # fusions to 3^4:2(A4xA4).2 3498 ], 3499 [ # fusions to (4xA6):2 3500 ], 3501 [ # fusions to (3x2S5).2 3502 ], 3503 [ # fusions to O8+(2)M2 3504 "2^2.O8+(2)M2", "2.S6(2)", ], 3505 [ # fusions to O8+(2)M3 3506 "2^2.O8+(2)M3", "2.O8+(2)M3", ], 3507 [ # fusions to O8+(2)M5 3508 "2^2.O8+(2)M5", "2^(1+6)_+.A8", ], 3509 [ # fusions to O8+(2)M6 3510 "2^2.O8+(2)M6", "2.O8+(2)M6", ], 3511 [ # fusions to O8+(2)M8 3512 "2.A9", "2^2.O8+(2)M8", ], 3513 [ # fusions to O8+(2)M9 3514 "2^2.O8+(2)M9", "2.O8+(2)M9", ], 3515 [ # fusions to (3xU4(2)):2 3516 "2x(3x2.U4(2)):2", "2x(3xU4(2)):2", ], 3517 [ # fusions to O8+(2)M11 3518 "2^2.O8+(2)M11", "(3x2.U4(2)):2", ], 3519 [ # fusions to O8+(2)M12 3520 "2^2.O8+(2)M12", "2.O8+(2)M12", ], 3521 [ # fusions to 2^(1+8)_+:(S3xS3xS3) 3522 "2^2.(2^(1+8)_+:(S3xS3xS3))", "2.2^(1+8)_+:(S3xS3xS3)", ], 3523 [ # fusions to 3^4:2^3.S4(a) 3524 "(2^2x3^4).2^3.S4", "(2x3^4:2^3).S4", ], 3525 [ # fusions to 2x2.S6(2) 3526 ], 3527 [ # fusions to 2^2.O8+(2)M2 3528 ], 3529 [ # fusions to 2^2.O8+(2)M3 3530 ], 3531 [ # fusions to (2x2^(1+6)_+).A8 3532 ], 3533 [ # fusions to 2^2.O8+(2)M5 3534 ], 3535 [ # fusions to 2^2.O8+(2)M6 3536 ], 3537 [ # fusions to 2x2.A9 3538 ], 3539 [ # fusions to 2^2.O8+(2)M8 3540 ], 3541 [ # fusions to 2^2.O8+(2)M9 3542 ], 3543 [ # fusions to 2x(3x2.U4(2)):2 3544 ], 3545 [ # fusions to 2^2.O8+(2)M11 3546 ], 3547 [ # fusions to 2^2.O8+(2)M12 3548 ], 3549 [ # fusions to 2^2.(2^(1+8)_+:(S3xS3xS3)) 3550 ], 3551 [ # fusions to (2^2x3^4).2^3.S4 3552 ], 3553 [ # fusions to (2x2.(A5xA5)):2^2 3554 ], 3555 [ # fusions to 2^2.O8+(2)M16 3556 ], 3557 [ # fusions to 2^2.O8+(2)M17 3558 ], 3559 [ # fusions to (4^2x2)(2xS4) 3560 ], 3561 [ # fusions to (4^2x2)S4 3562 ], 3563 [ # fusions to (4^2x3):S3 3564 ], 3565 [ # fusions to (7:3x3):2 3566 ], 3567 [ # fusions to (7xL2(7)):2 3568 ], 3569 [ # fusions to (9x3).S3 3570 ], 3571 [ # fusions to (A5xA5):2^2 3572 "(2x2.(A5xA5)):2^2", "(A5xA5).(2x4)", ], 3573 [ # fusions to S4(4).2M7 3574 ], 3575 [ # fusions to O8+(2)M16 3576 "2^2.O8+(2)M16", "2.(A5xA5).2^2", ], 3577 [ # fusions to O8+(2)M17 3578 "2^2.O8+(2)M17", "2.O8+(2)M17", ], 3579 [ # fusions to 2.O8+(2)M3 3580 "2^2.O8+(2)M3", ], 3581 [ # fusions to 2.O8+(2)M6 3582 "2^2.O8+(2)M6", ], 3583 [ # fusions to 2xA9 3584 "2x2.A9", ], 3585 [ # fusions to 2.O8+(2)M9 3586 "2^2.O8+(2)M9", ], 3587 [ # fusions to 2x(3xU4(2)):2 3588 "2x(3x2.U4(2)):2", ], 3589 [ # fusions to (3x2.U4(2)):2 3590 "2^2.O8+(2)M11", ], 3591 [ # fusions to 2.O8+(2)M12 3592 "2^2.O8+(2)M12", ], 3593 [ # fusions to 2.2^(1+8)_+:(S3xS3xS3) 3594 "2^2.(2^(1+8)_+:(S3xS3xS3))", ], 3595 [ # fusions to (2x3^4:2^3).S4 3596 "(2^2x3^4).2^3.S4", ], 3597 [ # fusions to (A5xA5).(2x4) 3598 "(2x2.(A5xA5)):2^2", ], 3599 [ # fusions to 2.(A5xA5).2^2 3600 "2^2.O8+(2)M16", ], 3601 [ # fusions to 2.O8+(2)M17 3602 "2^2.O8+(2)M17", ], 3603 [ # fusions to (A8xA4):2 3604 ], 3605 [ # fusions to (A7xA5):2 3606 ], 3607 [ # fusions to (S3xS3xA5):2 3608 ], 3609 [ # fusions to 2^{3+6}:(L3(2)x3) 3610 ], 3611 [ # fusions to 2^{1+8}_+:(S3xA5) 3612 ], 3613 [ # fusions to 10^2:S3 3614 ], 3615 [ # fusions to 11^(1+2)+:40 3616 ], 3617 [ # fusions to 11^2:(5x2L2(11).2) 3618 ], 3619 [ # fusions to 11^2:60 3620 ], 3621 [ # fusions to 2(A4xA4).4.2 3622 ], 3623 [ # fusions to 2(A4xA4).4.2^2 3624 ], 3625 [ # fusions to 2(L2(11)x2).2 3626 ], 3627 [ # fusions to 2(L2(7)x4).2 3628 ], 3629 [ # fusions to 2.(2.(A4xA4).2.2) 3630 ], 3631 [ # fusions to 2.(2^5:S6) 3632 ], 3633 [ # fusions to 2x3^(1+2)_+:2S4 3634 ], 3635 [ # fusions to 2.(3^3:(S4x2)) 3636 ], 3637 [ # fusions to 2.(S3xS6) 3638 ], 3639 [ # fusions to 2.(S6x2) 3640 ], 3641 [ # fusions to 2.2^6.L3(2) 3642 ], 3643 [ # fusions to D108 3644 ], 3645 [ # fusions to D112 3646 ], 3647 [ # fusions to 2^(1+4)+.(S3xS3) 3648 ], 3649 [ # fusions to 2^(1+8)+:L2(8) 3650 ], 3651 [ # fusions to 2^(2+4):(3xD10) 3652 ], 3653 [ # fusions to 2^(2+4):15 3654 ], 3655 [ # fusions to 2^(3+6):21 3656 ], 3657 [ # fusions to 2^2.(3^2:2A4) 3658 ], 3659 [ # fusions to 2^2.(3^2:Q8) 3660 ], 3661 [ # fusions to 2^2.(3^2:Q8.2) 3662 ], 3663 [ # fusions to 7:3xS4 3664 ], 3665 [ # fusions to D8xL3(2) 3666 ], 3667 [ # fusions to 2^2.[2^6].(S3xS3) 3668 ], 3669 [ # fusions to 2^2.S6 3670 ], 3671 [ # fusions to 2^3.L3(2):2 3672 ], 3673 [ # fusions to 2^6:(3xA5) 3674 ], 3675 [ # fusions to S4(4)M2 3676 ], 3677 [ # fusions to 2^6:(3xA5):2 3678 ], 3679 [ # fusions to S4(4).2M3 3680 ], 3681 [ # fusions to 2^6:(7xL2(8)) 3682 ], 3683 [ # fusions to 2^6:3^3:S4 3684 "2^(1+6)_-.3^3.S4", ], 3685 [ # fusions to 2S5.2 3686 ], 3687 [ # fusions to 3^(1+2)+.2S4 3688 ], 3689 [ # fusions to 3^(1+2)+:2S4 3690 ], 3691 [ # fusions to 3^(1+4)+.2^(1+4)-.S3 3692 ], 3693 [ # fusions to 3^(1+4)+.4S4 3694 ], 3695 [ # fusions to 3^(2+4):80 3696 ], 3697 [ # fusions to 3^2.(3x3^(1+2)+):D8 3698 ], 3699 [ # fusions to 3^3:S4` 3700 "(2x3^3).S4`", ], 3701 [ # fusions to 3^4:(2xA6) 3702 "2xA6", ], 3703 [ # fusions to 3^4:2^3.S4 3704 "2.3^4.2^3.S4", ], 3705 [ # fusions to 3^4:GL2(9) 3706 ], 3707 [ # fusions to 4(A4xA4).4 3708 ], 3709 [ # fusions to 5^(1+2)+:24 3710 ], 3711 [ # fusions to 5^(1+2)+:4A5 3712 ], 3713 [ # fusions to 5^(1+2)+:8 3714 ], 3715 [ # fusions to 5^2:S3 3716 ], 3717 [ # fusions to 5^3:(2xA5).2 3718 ], 3719 [ # fusions to 5^3:62 3720 ], 3721 [ # fusions to 6^2:D12 3722 ], 3723 [ # fusions to 6^2:S3 3724 ], 3725 [ # fusions to 7^(1+2):48 3726 ], 3727 [ # fusions to 7^2:2A4 3728 ], 3729 [ # fusions to 7^2:S3 3730 ], 3731 [ # fusions to 8^2:S3 3732 ], 3733 [ # fusions to 2^(1+8)_+:U4(2) 3734 "2.2^(1+8)_+:U4(2)", "3x2.2^(1+8)_+:U4(2)", "2^2.2^(1+8)_+:U4(2)", 3735 "3x2^2.2^(1+8)_+:U4(2)", ], 3736 [ # fusions to U6(2)M5 3737 "3.U6(2)M5", "2^2.U6(2)M5", "(2^2x3).U6(2)M5", ], 3738 [ # fusions to U6(2)M6 3739 "2.U6(2)M6", "3.U6(2)M6", "6.U6(2)M6", "2^2.U6(2)M6", "(2^2x3).U6(2)M6", ], 3740 [ # fusions to U6(2)M9 3741 "2.U6(2)M9", "3.U6(2)M9", "6.U6(2)M9", "2^2.U6(2)M9", "(2^2x3).U6(2)M9", ], 3742 [ # fusions to U6(2)M10 3743 "2.U6(2)M10", "3.U6(2)M10", "6.U6(2)M10", "2^2.U6(2)M10", 3744 "(2^2x3).U6(2)M10", ], 3745 [ # fusions to U6(2)M12 3746 "2.M22", "3.U6(2)M12", "2^2.U6(2)M12", "(2^2x3).U6(2)M12", ], 3747 [ # fusions to U6(2)M13 3748 "2.U6(2)M13", "3.U6(2)M13", "6.U6(2)M13", "2^2.U6(2)M13", 3749 "(2^2x3).U6(2)M13", ], 3750 [ # fusions to 3^(1+4).2^(1+1+2+2).S3 3751 "2.(3^(1+4).[2^7.3])", "3.(3^(1+4).[2^7.3])", "6.(3^(1+4).[2^7.3])", ], 3752 [ # fusions to 2.2^(1+8)_+:U4(2) 3753 "2^2.2^(1+8)_+:U4(2)", "3x2^2.2^(1+8)_+:U4(2)", ], 3754 [ # fusions to 2.U6(2)M6 3755 "6.U6(2)M6", "2^2.U6(2)M6", "(2^2x3).U6(2)M6", ], 3756 [ # fusions to 2.2^(4+8):(S3xA5) 3757 "2^2.2^(4+8):(S3xA5)", "3x2^2.2^(4+8):(S3xA5)", ], 3758 [ # fusions to 2.U6(2)M9 3759 "6.U6(2)M9", "2^2.U6(2)M9", "(2^2x3).U6(2)M9", ], 3760 [ # fusions to 2.U6(2)M10 3761 "6.U6(2)M10", "2^2.U6(2)M10", "(2^2x3).U6(2)M10", ], 3762 [ # fusions to 2xM22 3763 "2x3.M22", "2x2.M22", "2x6.M22", ], 3764 [ # fusions to 2.U6(2)M13 3765 "6.U6(2)M13", "2^2.U6(2)M13", "(2^2x3).U6(2)M13", ], 3766 [ # fusions to 2xS3xU4(2) 3767 "6xS3xU4(2)", "2^2xS3xU4(2)", "2^2x3xS3xU4(2)", ], 3768 [ # fusions to 2.(3^(1+4).[2^7.3]) 3769 "6.(3^(1+4).[2^7.3])", ], 3770 [ # fusions to 3x2^(1+8)_+:U4(2) 3771 "3x2.2^(1+8)_+:U4(2)", "3x2^2.2^(1+8)_+:U4(2)", ], 3772 [ # fusions to 3.U6(2)M5 3773 "(2^2x3).U6(2)M5", "6_1.U4(3).2_2", ], 3774 [ # fusions to 3.U6(2)M6 3775 "6.U6(2)M6", "(2^2x3).U6(2)M6", ], 3776 [ # fusions to 3x2^(4+8):(S3xA5) 3777 "3x2.2^(4+8):(S3xA5)", "3x2^2.2^(4+8):(S3xA5)", ], 3778 [ # fusions to 3xS6(2) 3779 "6xS6(2)", "2^2x3xS6(2)", "3x2.S6(2)", ], 3780 [ # fusions to 3.U6(2)M9 3781 "6.U6(2)M9", "(2^2x3).U6(2)M9", ], 3782 [ # fusions to 3.U6(2)M10 3783 "6.U6(2)M10", "(2^2x3).U6(2)M10", ], 3784 [ # fusions to 3.U6(2)M12 3785 "(2^2x3).U6(2)M12", ], 3786 [ # fusions to 3.U6(2)M13 3787 "6.U6(2)M13", "(2^2x3).U6(2)M13", ], 3788 [ # fusions to 3xS3xU4(2) 3789 "6xS3xU4(2)", "2^2x3xS3xU4(2)", ], 3790 [ # fusions to 3.(3^(1+4).[2^7.3]) 3791 "6.(3^(1+4).[2^7.3])", ], 3792 [ # fusions to 3x2.2^(1+8)_+:U4(2) 3793 "3x2^2.2^(1+8)_+:U4(2)", ], 3794 [ # fusions to 6.U6(2)M6 3795 "(2^2x3).U6(2)M6", ], 3796 [ # fusions to 3x2.2^(4+8):(S3xA5) 3797 "3x2^2.2^(4+8):(S3xA5)", ], 3798 [ # fusions to 6xS6(2) 3799 "2^2x3xS6(2)", ], 3800 [ # fusions to 6.U6(2)M9 3801 "(2^2x3).U6(2)M9", ], 3802 [ # fusions to 6.U6(2)M10 3803 "(2^2x3).U6(2)M10", ], 3804 [ # fusions to 2x3.M22 3805 "2x6.M22", ], 3806 [ # fusions to 6.U6(2)M13 3807 "(2^2x3).U6(2)M13", ], 3808 [ # fusions to 6xS3xU4(2) 3809 "2^2x3xS3xU4(2)", ], 3810 [ # fusions to 6.(3^(1+4).[2^7.3]) 3811 ], 3812 [ # fusions to 2^2xU5(2) 3813 "2^2x3xU5(2)", ], 3814 [ # fusions to 2^2.2^(1+8)_+:U4(2) 3815 ], 3816 [ # fusions to 2^2.U6(2)M5 3817 "(2^2x3).U6(2)M5", ], 3818 [ # fusions to 2^2.U6(2)M6 3819 "(2^2x3).U6(2)M6", ], 3820 [ # fusions to 2^2.2^(4+8):(S3xA5) 3821 ], 3822 [ # fusions to 2^2xS6(2) 3823 "2^2x3xS6(2)", ], 3824 [ # fusions to 2^2.U6(2)M9 3825 "(2^2x3).U6(2)M9", ], 3826 [ # fusions to 2^2.U6(2)M10 3827 "(2^2x3).U6(2)M10", ], 3828 [ # fusions to 2x2.M22 3829 "2x6.M22", ], 3830 [ # fusions to 2^2.U6(2)M12 3831 "(2^2x3).U6(2)M12", ], 3832 [ # fusions to 2^2.U6(2)M13 3833 "(2^2x3).U6(2)M13", ], 3834 [ # fusions to 2^2xS3xU4(2) 3835 "2^2x3xS3xU4(2)", ], 3836 [ # fusions to 2^2x3xU5(2) 3837 ], 3838 [ # fusions to 3x2^2.2^(1+8)_+:U4(2) 3839 ], 3840 [ # fusions to 2x6_1.U4(3).2_2 3841 ], 3842 [ # fusions to (2^2x3).U6(2)M5 3843 ], 3844 [ # fusions to (2^2x3).U6(2)M6 3845 ], 3846 [ # fusions to 3x2^2.2^(4+8):(S3xA5) 3847 ], 3848 [ # fusions to 2^2x3xS6(2) 3849 ], 3850 [ # fusions to (2^2x3).U6(2)M9 3851 ], 3852 [ # fusions to (2^2x3).U6(2)M10 3853 ], 3854 [ # fusions to 2x6.M22 3855 ], 3856 [ # fusions to (2^2x3).U6(2)M12 3857 ], 3858 [ # fusions to (2^2x3).U6(2)M13 3859 ], 3860 [ # fusions to 2^2x3xS3xU4(2) 3861 ], 3862 [ # fusions to (2^2x3).(3^(1+4).[2^7.3]) 3863 ], 3864 [ # fusions to 3^5:U4(2):2 3865 "(2x3^5).U4(2).2", "3.3^5:U4(2):2", "6.(3^5:U4(2):2)", "U4(2).2", ], 3866 [ # fusions to O7(3)M5 3867 "2.O7(3)M5", "3.O7(3)M5", "6.O7(3)M5", ], 3868 [ # fusions to 3^(3+3):L3(3) 3869 "3.(3^(3+3):L3(3))", "2x3.(3^(3+3):L3(3))", ], 3870 [ # fusions to O7(3)M8 3871 "2.O7(3)M8", "3.O7(3)M8", "6.O7(3)M8", ], 3872 [ # fusions to O7(3)M11 3873 "2.O7(3)M11", "3.O7(3)M11", "6.O7(3)M11", ], 3874 [ # fusions to (2^2xU4(2)):2 3875 "2.(2^2xU4(2)).2", "3x2.(2^2xU4(2)).2", ], 3876 [ # fusions to (A4x2(A4xA4).2).2 3877 "2.(A4x2(A4xA4).2).2", "3.(A4x2(A4xA4).2).2", "6.(A4x2(A4xA4).2).2", ], 3878 [ # fusions to (2x3^5).U4(2).2 3879 "6.(3^5:U4(2):2)", ], 3880 [ # fusions to 2xG2(3) 3881 "2x3.G2(3)", ], 3882 [ # fusions to 2.O7(3)M5 3883 "6.O7(3)M5", ], 3884 [ # fusions to 2x3^(3+3):L3(3) 3885 "2x3.(3^(3+3):L3(3))", ], 3886 [ # fusions to 2.O7(3)M8 3887 "6.O7(3)M8", ], 3888 [ # fusions to 2.O7(3)M9 3889 "6.O7(3)M9", ], 3890 [ # fusions to 2.O7(3)M11 3891 "6.O7(3)M11", ], 3892 [ # fusions to 2.(2^2xU4(2)).2 3893 ], 3894 [ # fusions to 2^(1+6)_+:A7 3895 "2^(1+6)_+:3A7", ], 3896 [ # fusions to 2.(S6xS4) 3897 ], 3898 [ # fusions to 2.(A4x2(A4xA4).2).2 3899 "6.(A4x2(A4xA4).2).2", ], 3900 [ # fusions to 3.3^5:U4(2):2 3901 "6.(3^5:U4(2):2)", ], 3902 [ # fusions to 3xL4(3).2_2 3903 "3x2.L4(3).2_2", ], 3904 [ # fusions to 3.O7(3)M5 3905 "6.O7(3)M5", ], 3906 [ # fusions to 3.(3^(3+3):L3(3)) 3907 ], 3908 [ # fusions to 3.O7(3)M8 3909 "6.O7(3)M8", ], 3910 [ # fusions to 3.O7(3)M9 3911 "6.O7(3)M9", ], 3912 [ # fusions to 3xS9 3913 "3xIsoclinic(2.A9.2)", ], 3914 [ # fusions to 3.O7(3)M11 3915 "6.O7(3)M11", ], 3916 [ # fusions to 3x(2^2xU4(2)):2 3917 "3x2.(2^2xU4(2)).2", ], 3918 [ # fusions to 2^6:3A7 3919 "2^(1+6)_+:3A7", ], 3920 [ # fusions to 3xS6xS4 3921 "3x2.(S6xS4)", ], 3922 [ # fusions to 3.(A4x2(A4xA4).2).2 3923 "6.(A4x2(A4xA4).2).2", ], 3924 [ # fusions to 6.(3^5:U4(2):2) 3925 ], 3926 [ # fusions to 3x2.L4(3).2_2 3927 ], 3928 [ # fusions to 2x3.G2(3) 3929 ], 3930 [ # fusions to 6.O7(3)M5 3931 ], 3932 [ # fusions to 2x3.(3^(3+3):L3(3)) 3933 ], 3934 [ # fusions to 3x2.S6(2) 3935 ], 3936 [ # fusions to 6.O7(3)M8 3937 ], 3938 [ # fusions to 6.O7(3)M9 3939 ], 3940 [ # fusions to 3xIsoclinic(2.A9.2) 3941 ], 3942 [ # fusions to 6.O7(3)M11 3943 ], 3944 [ # fusions to 3x2.(2^2xU4(2)).2 3945 ], 3946 [ # fusions to 2^(1+6)_+:3A7 3947 ], 3948 [ # fusions to 3x2.(S6xS4) 3949 ], 3950 [ # fusions to 6.(A4x2(A4xA4).2).2 3951 ], 3952 [ # fusions to 3^6:(L4(3)x2) 3953 "L4(3)x2", ], 3954 [ # fusions to L4(3)x2 3955 "3^6:(L4(3)x2)", ], 3956 [ # fusions to 3^6:2U4(3).2_1 3957 "Isoclinic(2.U4(3).2_1)", ], 3958 [ # fusions to 2^8:O8+(2):2 3959 "O8+(2).2", ], 3960 [ # fusions to 2^8:O8-(2):2 3961 "O8-(2).2", ], 3962 [ # fusions to 3xU3(3).2 3963 ], 3964 [ # fusions to 3.G2(3)M2 3965 ], 3966 [ # fusions to 3.(3^(1+2)+x3^2):2S4 3967 ], 3968 [ # fusions to 3.G2(3)M4 3969 ], 3970 [ # fusions to 3.G2(3)M6 3971 ], 3972 [ # fusions to 3xL2(8).3 3973 ], 3974 [ # fusions to 3x2^3.L3(2) 3975 ], 3976 [ # fusions to 3xL2(13) 3977 ], 3978 [ # fusions to 3.2^(1+4)+:3^2.2 3979 ], 3980 [ # fusions to 2.2^(4+6).(A5x3) 3981 ], 3982 [ # fusions to Isoclinic(2xU3(4).2) 3983 ], 3984 [ # fusions to Isoclinic(2xU3(3).2) 3985 ], 3986 [ # fusions to 2.A5xA5 3987 ], 3988 [ # fusions to U3(5)M2 3989 "3.U3(5)M2", ], 3990 [ # fusions to U3(5)M3 3991 "3.U3(5)M3", ], 3992 [ # fusions to U3(5)M6 3993 "3.U3(5)M6", ], 3994 [ # fusions to U3(5)M7 3995 "3.U3(5)M7", ], 3996 [ # fusions to 3.U3(5)M2 3997 ], 3998 [ # fusions to 3.U3(5)M3 3999 ], 4000 [ # fusions to 3x5^(1+2)_+:8 4001 ], 4002 [ # fusions to 3.U3(5)M6 4003 ], 4004 [ # fusions to 3.U3(5)M7 4005 ], 4006 [ # fusions to 2.2^(3+3):7 4007 "2^2.2^(3+3):7", ], 4008 [ # fusions to 2x13:4 4009 "2^2x13:4", ], 4010 [ # fusions to 2^2.2^(3+3):7 4011 ], 4012 [ # fusions to 2^2x13:4 4013 ], 4014 [ # fusions to 2^2xD14 4015 ], 4016 [ # fusions to L3(7)M2 4017 ], 4018 [ # fusions to L3(7)M4 4019 ], 4020 [ # fusions to L3(7)M5 4021 ], 4022 [ # fusions to 3x7^2:2.L2(7).2 4023 ], 4024 [ # fusions to 3.L3(7)M2 4025 ], 4026 [ # fusions to 3xL3(2).2 4027 ], 4028 [ # fusions to 3.L3(7)M4 4029 ], 4030 [ # fusions to 3.L3(7)M5 4031 ], 4032 [ # fusions to 3x19:3 4033 ], 4034 [ # fusions to 2.(A6xA6).2^2 4035 ], 4036 [ # fusions to 2.(A8xA4).2 4037 ], 4038 [ # fusions to 2.(A7xA5).2 4039 ], 4040 [ # fusions to 2.2^5.S6 4041 ], 4042 [ # fusions to 2^(1+6)_-.3^3.S4 4043 ], 4044 [ # fusions to 2.3^4.2^3.S4 4045 ], 4046 [ # fusions to 2.(2^4:A5) 4047 ], 4048 [ # fusions to 2x3^(1+2)+:2A4 4049 ], 4050 [ # fusions to (2x3^3).S4` 4051 ], 4052 [ # fusions to 2.(2.(A4xA4).2) 4053 ], 4054 [ # fusions to 3xF4(2) 4055 "6x2.F4(2)", ], 4056 [ # fusions to 3.2E6(2)M4 4057 "3x2.F4(2)", "(2^2x3).2E6(2)M4", ], 4058 [ # fusions to 3.2E6(2)M5 4059 "6.2E6(2)M5", "(2^2x3).2E6(2)M5", ], 4060 [ # fusions to 3.2E6(2)M8 4061 "6.Fi22", "(2^2x3).2E6(2)M8", ], 4062 [ # fusions to 3.2E6(2)M9 4063 "6.2E6(2)M9", "(2^2x3).2E6(2)M9", ], 4064 [ # fusions to 6xF4(2) 4065 "6x2.F4(2)", ], 4066 [ # fusions to 3x2.F4(2) 4067 "(2^2x3).2E6(2)M4", ], 4068 [ # fusions to 6.2E6(2)M5 4069 "(2^2x3).2E6(2)M5", ], 4070 [ # fusions to 6x2.F4(2) 4071 ], 4072 [ # fusions to (2^2x3).2E6(2)M4 4073 ], 4074 [ # fusions to (2^2x3).2E6(2)M5 4075 ], 4076 [ # fusions to 2x3.Fi22 4077 "2x6.Fi22", ], 4078 [ # fusions to 6.2E6(2)M9 4079 "(2^2x3).2E6(2)M9", ], 4080 [ # fusions to 2x6.Fi22 4081 ], 4082 [ # fusions to (2^2x3).2E6(2)M8 4083 ], 4084 [ # fusions to (2^2x3).2E6(2)M9 4085 ], 4086 [ # fusions to 2.D12 4087 ], 4088 [ # fusions to 2.D14 4089 ], 4090 [ # fusions to D16 4091 "2.D16", ], 4092 [ # fusions to 2.D16 4093 ], 4094 [ # fusions to D18 4095 "2.D18", ], 4096 [ # fusions to 2.D18 4097 ], 4098 [ # fusions to 2.D20 4099 ], 4100 [ # fusions to D22 4101 "2.D22", ], 4102 [ # fusions to 2.D22 4103 ], 4104 [ # fusions to 2.D24 4105 ], 4106 [ # fusions to D26 4107 "2.D26", ], 4108 [ # fusions to 2.D26 4109 ], 4110 [ # fusions to D28 4111 "2^2xD14", "2.D28", ], 4112 [ # fusions to 2.D28 4113 ], 4114 [ # fusions to D30 4115 "2.D30", ], 4116 [ # fusions to 2.D30 4117 ], 4118 [ # fusions to D32 4119 "2.D32", ], 4120 [ # fusions to 2.D32 4121 ], 4122 [ # fusions to (2x29).14 4123 ], 4124 [ # fusions to 2x31:15 4125 ], 4126 [ # fusions to 3^3:13 4127 ], 4128 [ # fusions to 2x3^3:13 4129 ], 4130 [ # fusions to 5^2:12 4131 "(2x5^2).12", ], 4132 [ # fusions to (2x5^2).12 4133 ], 4134 [ # fusions to L2(25)M3 4135 "2.L2(25)M3", ], 4136 [ # fusions to 2.L2(25)M3 4137 ], 4138 [ # fusions to 2x23:11 4139 ], 4140 [ # fusions to 2x19:9 4141 ], 4142 [ # fusions to (2x17).8 4143 ], 4144 [ # fusions to (2x13).6 4145 ], 4146 [ # fusions to 6.A6M3 4147 ], 4148 [ # fusions to 6.(A4x3).2 4149 ], 4150 [ # fusions to 127:7 4151 ], 4152 [ # fusions to 2^4:s5 4153 "A5.2", "2.M22M5", "4.M22M5", ], 4154 [ # fusions to 2.M22M5 4155 "4.M22M5", ], 4156 [ # fusions to 2.S4 4157 ], 4158 [ # fusions to 23:11 4159 ], 4160 [ # fusions to 2^3:sl(3,2) 4161 "P13/G1/L2/V1/ext2", "P13/G1/L2/V1/ext3", "P13/G1/L6/V1/ext2", "L3(2)", 4162 "2^(1+3):L3(2)", ], 4163 [ # fusions to 2^4:(3xA5).2 4164 "j3m4", ], 4165 [ # fusions to 2^4:a6 4166 "A6", "P1/G1/L1/V1/ext2", "2.M22M2", "3.M22M2", "4.M22M2", "6.M22M2", 4167 "12.M22M2", "2^4:3^2:4", ], 4168 [ # fusions to 2.M22M2 4169 "4.M22M2", "6.M22M2", "12.M22M2", ], 4170 [ # fusions to 3.M22M2 4171 "6.M22M2", "12.M22M2", ], 4172 [ # fusions to 4.M22M2 4173 "12.M22M2", ], 4174 [ # fusions to 6.M22M2 4175 "12.M22M2", ], 4176 [ # fusions to 12.M22M2 4177 ], 4178 [ # fusions to 2^4:3.S6 4179 ], 4180 [ # fusions to 2^4:a7 4181 "A7", "2^4:a6", "3.2^4:a7", "2^(1+3):L3(2)", "2^(2+4):(3x3):2", ], 4182 [ # fusions to 3.2^4:a7 4183 "3.2^(2+4):(3x3):2", ], 4184 [ # fusions to 3.McLM10 4185 "3.2^(2+4):(3x3):2", ], 4186 [ # fusions to 2xA7 4187 "2x(3.A7)", "2.(2xA7)", ], 4188 [ # fusions to 2x(3.A7) 4189 ], 4190 [ # fusions to 2.(2xA7) 4191 "2.(2x3.A7)", ], 4192 [ # fusions to 2.(2x3.A7) 4193 ], 4194 [ # fusions to 3x2^4:s5 4195 ], 4196 [ # fusions to 4.M22M5 4197 ], 4198 [ # fusions to 3x2.M22M5 4199 "3x4.M22M5", ], 4200 [ # fusions to 3x4.M22M5 4201 ], 4202 [ # fusions to 2x2^3:L3(2) 4203 "4.M22M6", "6x2^3:L3(2)", ], 4204 [ # fusions to 2x2^3:L3(2)x2 4205 ], 4206 [ # fusions to (2xA6).2^2 4207 ], 4208 [ # fusions to 3x2^3:L3(2) 4209 ], 4210 [ # fusions to 4.M22M6 4211 ], 4212 [ # fusions to 6x2^3:L3(2) 4213 ], 4214 [ # fusions to 3x4.M22M6 4215 ], 4216 [ # fusions to (4xA6).2_3 4217 "12.M22M7", ], 4218 [ # fusions to 6.M22M7 4219 ], 4220 [ # fusions to 12.M22M7 4221 ], 4222 [ # fusions to 2xL2(11) 4223 "2.(2xL2(11))", "6xL2(11)", ], 4224 [ # fusions to 2xL2(11).2 4225 ], 4226 [ # fusions to 3xL2(11) 4227 "6xL2(11)", "3x2.(2xL2(11))", ], 4228 [ # fusions to 2.(2xL2(11)) 4229 ], 4230 [ # fusions to 6xL2(11) 4231 ], 4232 [ # fusions to 3x2.(2xL2(11)) 4233 ], 4234 [ # fusions to McLM10 4235 "3.McLM10", "2^(2+4):(3x3):2", ], 4236 [ # fusions to 2^4:a8 4237 "A8", "2^4:a7", "2^10.A8", ], 4238 [ # fusions to 2^6:(psl(3,2)xs3) 4239 ], 4240 [ # fusions to 2^6:3.s6 4241 "3.A6.2_1", ], 4242 [ # fusions to 2xS5 4243 "S5xS3", ], 4244 [ # fusions to 3^2.2.S4 4245 ], 4246 [ # fusions to 4^2:D12 4247 "2^2.(U3(3).2xS4)", ], 4248 [ # fusions to 4^2:D12.2 4249 "4^2:D12", ], 4250 [ # fusions to A4xS3 4251 ], 4252 [ # fusions to M12M7 4253 ], 4254 [ # fusions to M22.2M4 4255 ], 4256 [ # fusions to M8.S4 4257 ], 4258 [ # fusions to S4xS3 4259 ], 4260 [ # fusions to 2xM11 4261 "2x3^6.M11", "LyM6", "3^5:(M11x2)", "3^6:(M11x2)", "2x3^5:M11", 4262 "3^5:(2xm11)", ], 4263 [ # fusions to 2.HSM9 4264 ], 4265 [ # fusions to 2.M12M2 4266 ], 4267 [ # fusions to 2.A11M7 4268 ], 4269 [ # fusions to 2.M12M4 4270 ], 4271 [ # fusions to 2x3^2.2.S4 4272 ], 4273 [ # fusions to 2.M12M7 4274 ], 4275 [ # fusions to 2.M12M8 4276 ], 4277 [ # fusions to 2.M12M9 4278 ], 4279 [ # fusions to 2.M12M10 4280 ], 4281 [ # fusions to 2.A4xS3 4282 ], 4283 [ # fusions to (2^2xSz(8)):3 4284 "2.(2^2xSz(8)):3", ], 4285 [ # fusions to (3^2:4xa6).2 4286 "(3^2:4x2.A6).2", "(3^(1+2):4xA6).2", "(3^(1+2):4x2.A6).2", ], 4287 [ # fusions to (3^2:4x2.A6).2 4288 "(3^(1+2):4x2.A6).2", ], 4289 [ # fusions to (3xG2(3)):2 4290 ], 4291 [ # fusions to (D10xU3(5)).2 4292 ], 4293 [ # fusions to (a4xpsl(3,4)):2 4294 "2.(A4xL3(4)).2", "(A4x3.L3(4)).2", "6.SuzM8", ], 4295 [ # fusions to 2.(A4xL3(4)).2 4296 "6.SuzM8", ], 4297 [ # fusions to (a6xa5).2 4298 "(3.A6xA5):2", "(A6x2.A5).2", "(3.A6x2.A5).2", ], 4299 [ # fusions to 2.(2^2xSz(8)):3 4300 ], 4301 [ # fusions to 2.2.2^4+6:S5 4302 ], 4303 [ # fusions to 2xA8 4304 ], 4305 [ # fusions to 2.2^3+8:L3(2) 4306 ], 4307 [ # fusions to 2.2^4+6:S5 4308 "2.2.2^4+6:S5", ], 4309 [ # fusions to 2.2^6:u3(3):2 4310 ], 4311 [ # fusions to 2.RuM1 4312 ], 4313 [ # fusions to 2^(1+8).(A5xA5).2 4314 ], 4315 [ # fusions to 2^1+6.psl(3,2) 4316 ], 4317 [ # fusions to 2^1+6.u4q2 4318 "2.SuzM4", "3x2.SuzM4", ], 4319 [ # fusions to 2.SuzM4 4320 ], 4321 [ # fusions to 2^1+8.a9 4322 "2^1+8.2.A9", ], 4323 [ # fusions to 2^1+8.2.A9 4324 ], 4325 [ # fusions to 2^2+8(a5xs3) 4326 "2.SuzM9", ], 4327 [ # fusions to 2.SuzM9 4328 ], 4329 [ # fusions to (2xL3(3)).2 4330 ], 4331 [ # fusions to 2^2.psl(3,4).s3 4332 "2^2.L3(4).2_2", "2^2.L3(4).3", "7:3xS4", "2^6:(3xA5):2", "hed3", ], 4333 [ # fusions to 2^3+8:L3(2) 4334 "2.2^3+8:L3(2)", ], 4335 [ # fusions to 2^3.2^2.2^6.(3xL3(2)) 4336 ], 4337 [ # fusions to 2^4+6:3a6 4338 "2.SuzM7", ], 4339 [ # fusions to 2.SuzM7 4340 ], 4341 [ # fusions to 2^4.s6 4342 "2.2^4.S6", "2^4.(S4x2)", ], 4343 [ # fusions to U4(3).2_1M10 4344 ], 4345 [ # fusions to 2^5.S6 4346 "2^4.s6", ], 4347 [ # fusions to 2.2^4.S6 4348 ], 4349 [ # fusions to 2^4.(S4x2) 4350 ], 4351 [ # fusions to 2^5.psl(5,2) 4352 ], 4353 [ # fusions to 2^6.U4(2) 4354 ], 4355 [ # fusions to 2^6.U4(2).2 4356 ], 4357 [ # fusions to 2^6:u3(3):2 4358 "2.2^6:u3(3):2", ], 4359 [ # fusions to 2xa6.2^2 4360 "2.HSM11", ], 4361 [ # fusions to U4(3).(2^2)_{133}M11 4362 ], 4363 [ # fusions to U4(3).(2^2)_{133}M12 4364 ], 4365 [ # fusions to (2xA6.2^2).2 4366 "2xa6.2^2", ], 4367 [ # fusions to 2.HSM11 4368 ], 4369 [ # fusions to 3.3^(1+4):2S5 4370 "3.3^4.3^2.Q8", ], 4371 [ # fusions to 3.3^(1+4):4S5 4372 "3.3^(1+4):2S5", ], 4373 [ # fusions to 2^(1+3):L3(2) 4374 "2^(1+1+2+2):S3", ], 4375 [ # fusions to 2^(2+4):(3x3):2 4376 "3.2^(2+4):(3x3):2", "2^(1+1+2+2):S3", ], 4377 [ # fusions to 3.2^(2+4):(3x3):2 4378 ], 4379 [ # fusions to 2^(1+1+2+2):S3 4380 ], 4381 [ # fusions to 2^(2+4).S3 4382 ], 4383 [ # fusions to 2^(2+4).(S3x2) 4384 ], 4385 [ # fusions to 3.ONM5 4386 ], 4387 [ # fusions to 31:15 4388 ], 4389 [ # fusions to 31:30 4390 ], 4391 [ # fusions to 37:18 4392 ], 4393 [ # fusions to 47:23 4394 ], 4395 [ # fusions to 3^(1+4):2S5 4396 "3.3^(1+4):2S5", "3^4.3^2.Q8", ], 4397 [ # fusions to 3^(1+4):4A5 4398 "HNN3", ], 4399 [ # fusions to 3^(1+4):4S5 4400 "3.3^(1+4):4S5", "3^(1+4):2S5", ], 4401 [ # fusions to 3^(1+6):2^(3+4):3^2:2 4402 "2.(3^(1+6):2^(3+4):3^2:2)", ], 4403 [ # fusions to 3^(1+6)_+:2^(3+4):(S3xS3) 4404 ], 4405 [ # fusions to 3^(2+4):2A5.D8 4406 "3.3^(1+4):4S5", ], 4407 [ # fusions to 3^2+4:2(2^2xa4)2 4408 "3.3^(2+4):2(A4x2^2).2", "2.SuzM11", "6.SuzM11", ], 4409 [ # fusions to 3^4:2(A4xA4).4 4410 ], 4411 [ # fusions to 3^4:m10 4412 "A6.2_3", "3.3^4:m10", "3^4.3^2.Q8", ], 4413 [ # fusions to 3.3^4:m10 4414 "3.3^4.3^2.Q8", ], 4415 [ # fusions to 3^4.3^2.Q8 4416 "3.3^4.3^2.Q8", ], 4417 [ # fusions to 3.3^4.3^2.Q8 4418 ], 4419 [ # fusions to 3xL3(4).2_2 4420 ], 4421 [ # fusions to 3x2.A8 4422 ], 4423 [ # fusions to 3xM11 4424 ], 4425 [ # fusions to 3x5^(1+2):3:8 4426 ], 4427 [ # fusions to 3^5:2S6 4428 ], 4429 [ # fusions to 3^5:M11 4430 "M11", "3^6.M11", ], 4431 [ # fusions to 3^6.M11 4432 ], 4433 [ # fusions to 3x2.SuzM4 4434 ], 4435 [ # fusions to 2x3^6.M11 4436 ], 4437 [ # fusions to 3x2.J2.2 4438 ], 4439 [ # fusions to 3x2.SuzM7 4440 ], 4441 [ # fusions to 3x2.SuzM9 4442 ], 4443 [ # fusions to 3xIsoclinic(2.M12.2) 4444 ], 4445 [ # fusions to 4.2^4.S5 4446 "2.HSM10", "4.2^4:(2xS3)", "4.2^4", "4.2^4:S4", ], 4447 [ # fusions to 2^(1+6)_+:S5 4448 "4.2^4.S5", ], 4449 [ # fusions to 2.HSM10 4450 ], 4451 [ # fusions to 4.2^4:(2xS3) 4452 "S4x2^2", ], 4453 [ # fusions to 4.2^4 4454 ], 4455 [ # fusions to S4x2^2 4456 ], 4457 [ # fusions to 4.2^4:S4 4458 ], 4459 [ # fusions to J1x2 4460 ], 4461 [ # fusions to 7^(1+2)_+:(3xD16) 4462 "3.ON.2N7", "7^(1+2):(D8x3)", ], 4463 [ # fusions to 4^3.L3(2) 4464 ], 4465 [ # fusions to (3^2:4xA6).2^2 4466 "3.ON.2M4", "ONM5", ], 4467 [ # fusions to 4^3.(L3(2)x2) 4468 ], 4469 [ # fusions to 4^3:psl(3,2) 4470 "2.4^3.L3(2)", "4^3:S4", ], 4471 [ # fusions to 4^3:(L3(2)x2) 4472 "4^3:psl(3,2)", ], 4473 [ # fusions to 2.4^3.L3(2) 4474 ], 4475 [ # fusions to 4^3:S4 4476 ], 4477 [ # fusions to 5:4xa5 4478 "5:4x2.A5", "5:4xA4", ], 4479 [ # fusions to 5:4xS5 4480 ], 4481 [ # fusions to 5:4x2.A5 4482 ], 4483 [ # fusions to 5:4xA4 4484 "5:4x2^2", ], 4485 [ # fusions to 5:4x2^2 4486 ], 4487 [ # fusions to A4xC4 4488 ], 4489 [ # fusions to D8xV4 4490 ], 4491 [ # fusions to 5^(1+4):2^(1+4).5.4 4492 "HNN5", "2.HS.2N5", ], 4493 [ # fusions to 5^(1+4):4S6 4494 "5^(1+4):4.3^2:D8", ], 4495 [ # fusions to 5^2.5.5^2.4A5 4496 "HNN5", ], 4497 [ # fusions to 5^2:4s5 4498 ], 4499 [ # fusions to 2xU3(5).2 4500 ], 4501 [ # fusions to L2(25).(2x4) 4502 ], 4503 [ # fusions to 2x5^2:4S5 4504 ], 4505 [ # fusions to 3.A6.(2x4) 4506 ], 4507 [ # fusions to Isoclinic(L2(13).2x2) 4508 ], 4509 [ # fusions to 5^3.psl(3,5) 4510 ], 4511 [ # fusions to 67:22 4512 ], 4513 [ # fusions to 7:3xpsl(3,2) 4514 ], 4515 [ # fusions to 7^2:(3x2S4) 4516 "(7^2:(3x2A4)xL2(7)).2", "7^2:(3x2A4)", "BN7", ], 4517 [ # fusions to 7^2:2psl(2,7) 4518 "7^(1+2).Sp(2,7)", ], 4519 [ # fusions to LyM6 4520 "3^5:M11", ], 4521 [ # fusions to ONM5 4522 "3.ONM5", ], 4523 [ # fusions to ThM7 4524 ], 4525 [ # fusions to ThN3B 4526 ], 4527 [ # fusions to s4xpsl(3,2) 4528 ], 4529 [ # fusions to 2^(1+6)_+.L3(2).2 4530 "2^1+6.psl(3,2)", ], 4531 [ # fusions to S4xL3(2).2 4532 ], 4533 [ # fusions to 7:6xL3(2) 4534 ], 4535 [ # fusions to 2^(1+6)_-.U4(2).2 4536 "2^1+6.u4q2", "(3x2^(1+6)_-.U4(2)).2", ], 4537 [ # fusions to 3^5:(M11x2) 4538 "3^5:M11", "3^6:(M11x2)", ], 4539 [ # fusions to J2.2x2 4540 "J2.2", "S3xJ2.2", ], 4541 [ # fusions to 2^(4+6):3S6 4542 "2^4+6:3a6", "(3x2^(4+6):3A6).2", ], 4543 [ # fusions to (A4xL3(4):2_3):2 4544 "(a4xpsl(3,4)):2", "(A4x3.L3(4).2_3).2", ], 4545 [ # fusions to 2^(2+8):(S5xS3) 4546 "2^2+8(a5xs3)", "(3x2^(2+8):(A5xS3)).2", ], 4547 [ # fusions to M12.2x2 4548 "M12.2", "S3xM12.2", ], 4549 [ # fusions to 3^(2+4):2(S4xD8) 4550 "3^2+4:2(2^2xa4)2", "3.3^(2+4):2(S4xD8)", ], 4551 [ # fusions to (A6:2_2xA5).2 4552 "(a6xa5).2", "(3.A6.2_2xA5):2", ], 4553 [ # fusions to (3^2:8xA6).2 4554 "(3^2:4xa6).2", "(3^(1+2):8xA6).2", ], 4555 [ # fusions to 3xG2(4) 4556 "3x2.G2(4)", ], 4557 [ # fusions to 3x2.G2(4) 4558 ], 4559 [ # fusions to 2xU5(2) 4560 "2^2xU5(2)", "2^2x3xU5(2)", "6xU5(2)", ], 4561 [ # fusions to 3xU5(2) 4562 "2^2x3xU5(2)", "6xU5(2)", ], 4563 [ # fusions to 3x2^(1+6)_-.U4(2) 4564 "3x2.SuzM4", ], 4565 [ # fusions to 3xJ2.2 4566 "3x2.J2.2", ], 4567 [ # fusions to 3x2^(4+6).3A6 4568 "3x2.SuzM7", ], 4569 [ # fusions to (A4x3.L3(4)).2 4570 "6.SuzM8", ], 4571 [ # fusions to 3x2^(2+8):(A5xS3) 4572 "3x2.SuzM9", ], 4573 [ # fusions to 3xM12.2 4574 "3xIsoclinic(2.M12.2)", ], 4575 [ # fusions to 3.3^(2+4):2(A4x2^2).2 4576 "6.SuzM11", ], 4577 [ # fusions to (3.A6xA5):2 4578 "(3.A6x2.A5).2", ], 4579 [ # fusions to (3^(1+2):4xA6).2 4580 "(3^(1+2):4x2.A6).2", ], 4581 [ # fusions to 3xL3(3).2 4582 "3x(2xL3(3)).2", ], 4583 [ # fusions to 3xL2(25) 4584 "3x2.L2(25)", ], 4585 [ # fusions to (3xG2(4)).2 4586 "3xG2(4)", "(A4xG2(4)):2", ], 4587 [ # fusions to (3xU5(2)).2 4588 "3xU5(2)", "U72CT", ], 4589 [ # fusions to (3x2^(1+6)_-.U4(2)).2 4590 "3x2^(1+6)_-.U4(2)", ], 4591 [ # fusions to 3^6:(M11x2) 4592 "3^6.M11", ], 4593 [ # fusions to S3xJ2.2 4594 ], 4595 [ # fusions to (3x2^(4+6):3A6).2 4596 "3x2^(4+6).3A6", ], 4597 [ # fusions to (A4x3.L3(4).2_3).2 4598 "(A4x3.L3(4)).2", ], 4599 [ # fusions to (3x2^(2+8):(A5xS3)).2 4600 "3x2^(2+8):(A5xS3)", ], 4601 [ # fusions to S3xM12.2 4602 ], 4603 [ # fusions to 3.3^(2+4):2(S4xD8) 4604 "3.3^(2+4):2(A4x2^2).2", ], 4605 [ # fusions to (3.A6.2_2xA5):2 4606 "(3.A6xA5):2", ], 4607 [ # fusions to (3^(1+2):8xA6).2 4608 "(3^(1+2):4xA6).2", ], 4609 [ # fusions to (3xL2(25)).2_2 4610 "3xL2(25)", ], 4611 [ # fusions to 3^4:(M10x2) 4612 ], 4613 [ # fusions to 2x3^5:M11 4614 "2x3^6.M11", ], 4615 [ # fusions to 2.SuzM11 4616 "6.SuzM11", ], 4617 [ # fusions to 6.SuzM8 4618 ], 4619 [ # fusions to 6.SuzM11 4620 ], 4621 [ # fusions to 3x(2xL3(3)).2 4622 ], 4623 [ # fusions to 3x2.L2(25) 4624 ], 4625 [ # fusions to (3^(1+2):4x2.A6).2 4626 ], 4627 [ # fusions to (A6x2.A5).2 4628 "(3.A6x2.A5).2", ], 4629 [ # fusions to (3.A6x2.A5).2 4630 ], 4631 [ # fusions to Isoclinic(S8x2) 4632 ], 4633 [ # fusions to Isoclinic(U3(5).2x2) 4634 "(D10xU3(5)).2", ], 4635 [ # fusions to 2.HSM3 4636 ], 4637 [ # fusions to 2^(1+8)_+.(A5xA5).2^2 4638 ], 4639 [ # fusions to 5:4xU3(5):2 4640 ], 4641 [ # fusions to 5^(1+4)_+:(4Y2^(1+4)_-.5.4) 4642 "5^(1+4):2^(1+4).5.4", ], 4643 [ # fusions to (S6xS6).2^2 4644 ], 4645 [ # fusions to 2^3.2^2.2^6.(S3xL3(2)) 4646 ], 4647 [ # fusions to 5^2.5.5^2.4S5 4648 "5^2.5.5^2.4A5", ], 4649 [ # fusions to 3^4:2(S4xS4).2 4650 ], 4651 [ # fusions to HN.2M13 4652 "HN.2N3", ], 4653 [ # fusions to (A4xG2(4)):2 4654 ], 4655 [ # fusions to (A5xJ2):2 4656 ], 4657 [ # fusions to (A6xU3(3)):2 4658 ], 4659 [ # fusions to (A7xL2(7)):2 4660 ], 4661 [ # fusions to (D10x(A5xA5).2).2 4662 ], 4663 [ # fusions to 2.2^11:M24 4664 ], 4665 [ # fusions to 2^(1+8)+.O8+(2) 4666 ], 4667 [ # fusions to 2^(2+12):(A8xS3) 4668 ], 4669 [ # fusions to 2^(4+10)(S5xS3) 4670 ], 4671 [ # fusions to 2^(4+12).(S3x3S6) 4672 ], 4673 [ # fusions to 2^1+4+6.a8 4674 ], 4675 [ # fusions to 2^1+8:s6f2 4676 ], 4677 [ # fusions to 2^10:m22:2 4678 "M22.2", "2^10:(2^5:s5)", ], 4679 [ # fusions to 2^11:M24 4680 "M24", "2.2^11:M24", ], 4681 [ # fusions to 2^2.(2^7.3^2).s3 4682 ], 4683 [ # fusions to 2^4.a8 4684 ], 4685 [ # fusions to 2xm12 4686 ], 4687 [ # fusions to 3^(3+4):2(S4xS4) 4688 ], 4689 [ # fusions to 3^1+4:2^1+4.s5 4690 ], 4691 [ # fusions to 3^1+4:4s6 4692 "Co3N3", ], 4693 [ # fusions to 3^5:(2xm11) 4694 ], 4695 [ # fusions to 3^6:2M12 4696 "2.M12", ], 4697 [ # fusions to 5^(1+2):GL2(5) 4698 "2x5^(1+2):GL2(5)", "Co1N5", ], 4699 [ # fusions to 5^2:2A5 4700 ], 4701 [ # fusions to 5^3:(4xA5).2 4702 ], 4703 [ # fusions to A9xS3 4704 ], 4705 [ # fusions to a4xs5 4706 ], 4707 [ # fusions to s3xpsl(2,8).3 4708 ], 4709 [ # fusions to (2^2x2^(1+8)).(3xU4(2)).2 4710 ], 4711 [ # fusions to (3xO8+(3):3):2 4712 ], 4713 [ # fusions to (A4xO8+(2).3).2 4714 "F3+N5", ], 4715 [ # fusions to (A5xA9):2 4716 ], 4717 [ # fusions to 29:14 4718 "(2x29).14", ], 4719 [ # fusions to 2^(5+8):(S3xA6) 4720 ], 4721 [ # fusions to 2^(6+8):(A7xS3) 4722 ], 4723 [ # fusions to 2x3.O7(3) 4724 ], 4725 [ # fusions to 6.Fi22M3 4726 ], 4727 [ # fusions to 2xO7(3) 4728 "2x3.O7(3)", "S3xO7(3)", ], 4729 [ # fusions to 2.Fi22M3 4730 ], 4731 [ # fusions to 3^(1+8).2^(1+6).3^(1+2).2S4 4732 ], 4733 [ # fusions to 7:6xA7 4734 ], 4735 [ # fusions to A6xL2(8):3 4736 ], 4737 [ # fusions to Fi23M8 4738 ], 4739 [ # fusions to S3xO7(3) 4740 ], 4741 [ # fusions to S3xU4(3).(2^2)_{122} 4742 "S3xU4(3).2_2", "(S3x2.U4(3).2_2).2", ], 4743 [ # fusions to 2xS3xU4(3).(2^2)_{122} 4744 "2xS3xU4(3).2_2", ], 4745 [ # fusions to S3x2.U4(3).2_2 4746 ], 4747 [ # fusions to 2xS3x2.U4(3).2_2 4748 ], 4749 [ # fusions to S3xU4(3).2_2 4750 "S3x6_1.U4(3).2_2", ], 4751 [ # fusions to 2xS3xU4(3).2_2 4752 "2xS3x2.U4(3).2_2", ], 4753 [ # fusions to S4xS6(2) 4754 "D8xS6(2)", ], 4755 [ # fusions to O8+(2):S3x2 4756 "2xFi22N5", "6xO8+(2):S3", ], 4757 [ # fusions to 3xO8+(2):S3 4758 "6xO8+(2):S3", ], 4759 [ # fusions to 6xO8+(2):S3 4760 "6xFi22N5", ], 4761 [ # fusions to 2x2.U4(3).2_2 4762 "2x6_1.U4(3).2_2", ], 4763 [ # fusions to 2^2.U4(3).(2^2)_{122} 4764 "2x2.U4(3).2_2", "(S3x2.U4(3).2_2).2", "2.U4(3).(2^2)_{122}", ], 4765 [ # fusions to 2xU4(3).(2^2)_{122} 4766 "2^2.U4(3).(2^2)_{122}", "2xU4(3).2_2", ], 4767 [ # fusions to 3x2.U4(3).(2^2)_{122} 4768 ], 4769 [ # fusions to (S3x2.U4(3).2_2).2 4770 "3x2.U4(3).(2^2)_{122}", ], 4771 [ # fusions to (2x2^(1+8)):U4(2):2 4772 "2.(2x2^(1+8)):U4(2):2", ], 4773 [ # fusions to (2x2^(1+8)):(U4(2):2x2) 4774 "(2x2^(1+8)):U4(2):2", "3.(2x2^(1+8)):(U4(2):2x2)", ], 4775 [ # fusions to 2.(2x2^(1+8)):U4(2):2 4776 ], 4777 [ # fusions to 3x(2x2^(1+8)):U4(2):2 4778 ], 4779 [ # fusions to 3.(2x2^(1+8)):(U4(2):2x2) 4780 "3x(2x2^(1+8)):U4(2):2", ], 4781 [ # fusions to Fi22.2M4 4782 "M22.2", "2^10:m22", ], 4783 [ # fusions to 2.(3^(1+6):2^(3+4):3^2:2) 4784 ], 4785 [ # fusions to 2^12.3_1.U4(3).2_2' 4786 "2^(1+12).3_1.U4(3).2_2'", "2^12.3^2.U4(3).2_2'", "3.2^(1+12).3U4(3).2", ], 4787 [ # fusions to 2^(1+12).3_1.U4(3).2_2' 4788 "3.2^(1+12).3U4(3).2", ], 4789 [ # fusions to 2^12.3^2.U4(3).2_2' 4790 "3.2^(1+12).3U4(3).2", ], 4791 [ # fusions to 3.2^(1+12).3U4(3).2 4792 ], 4793 [ # fusions to 3^3.[3^10].GL3(3) 4794 ], 4795 [ # fusions to 2^12.M24 4796 "F3+M7", ], 4797 [ # fusions to 3xFi23 4798 ], 4799 [ # fusions to 2^(5+8):(S3xS6) 4800 ], 4801 [ # fusions to 3^5:(2xU4(2).2) 4802 ], 4803 [ # fusions to 2.[2^6]:(S3xS3) 4804 "2^2.[2^6].(S3xS3)", ], 4805 [ # fusions to 2^5:S6 4806 "2.(2^5:S6)", "2.2^5.S6", ], 4807 [ # fusions to 2^6:L3(2) 4808 "2.2^6.L3(2)", ], 4809 [ # fusions to S3xS6 4810 "S6xS4", "2.(S3xS6)", "2^(5+8):(S3xS6)", "2^(3+8):(S3xS6)", ], 4811 [ # fusions to (2^6x2^8):S6(2) 4812 "(2^(1+8)x2^6):S6(2)", ], 4813 [ # fusions to (2^(1+8)x2^6):S6(2) 4814 ], 4815 [ # fusions to F4(2)M2 4816 ], 4817 [ # fusions to 3^6:L3(3) 4818 "L3(3)", ], 4819 [ # fusions to 3^(3+4):2(S4xA4) 4820 ], 4821 [ # fusions to A4xU4(2) 4822 "2.(A4xU4(2))", ], 4823 [ # fusions to 2.(A4xU4(2)) 4824 ], 4825 [ # fusions to 2^(2+6):3^3:S3 4826 ], 4827 [ # fusions to 2xU3(3).2 4828 ], 4829 [ # fusions to (2x3.A6).2 4830 ], 4831 [ # fusions to (2xL3(2)).2 4832 ], 4833 [ # fusions to (3xM10):2 4834 "3.(3xM10):2", "j3m6", ], 4835 [ # fusions to 11:10 4836 ], 4837 [ # fusions to 13:6 4838 "(2x13).6", ], 4839 [ # fusions to 19:18 4840 ], 4841 [ # fusions to 19:6 4842 ], 4843 [ # fusions to 2.J2M8 4844 ], 4845 [ # fusions to 2A4xA5 4846 "2.L2(3)", ], 4847 [ # fusions to 2A5xD10 4848 ], 4849 [ # fusions to (2.A5xD10).2 4850 ], 4851 [ # fusions to 2^(1+4).S5 4852 "2^1+4b:a5", ], 4853 [ # fusions to 2^(2+4):(S3xS3) 4854 "2^(2+4):(3x3):2", "2^2+4.3xs3", ], 4855 [ # fusions to 2^1+4b:a5 4856 "2^{1+4}_-:2A5", ], 4857 [ # fusions to 2^2+4.3xs3 4858 "2^{3+4}:(3xS3)", ], 4859 [ # fusions to 2^{1+4}_-:2A5 4860 ], 4861 [ # fusions to 2^{3+4}:(3xS3) 4862 ], 4863 [ # fusions to 2xA5 4864 "a5xd10", "3^4:(2xA5)", ], 4865 [ # fusions to 2xU3(3) 4866 ], 4867 [ # fusions to 37:12 4868 ], 4869 [ # fusions to 3^2.3^(1+2):8.2 4870 "3^3.3^(1+2):8.2", "3^2.3^(1+2):8", ], 4871 [ # fusions to 3x2^4:(3xA5) 4872 ], 4873 [ # fusions to 43:14 4874 ], 4875 [ # fusions to 5^2:D12 4876 "2.J2M8", ], 4877 [ # fusions to 7:6 4878 "7:3", "(7:3xHe):2", "Co2N7", ], 4879 [ # fusions to D6xD10 4880 ], 4881 [ # fusions to (2^2xA5):2 4882 ], 4883 [ # fusions to D8.(S4x2) 4884 ], 4885 [ # fusions to F3+M7 4886 ], 4887 [ # fusions to J4M4 4888 ], 4889 [ # fusions to L2(17)x2 4890 ], 4891 [ # fusions to a4xa5 4892 ], 4893 [ # fusions to a5xd10 4894 "2A5xD10", ], 4895 [ # fusions to c2aj4 4896 ], 4897 [ # fusions to frob 4898 ], 4899 [ # fusions to j3m4 4900 "2^(4+4):(3xA5)", ], 4901 [ # fusions to j3m6 4902 "3x(3xA6):2_2", ], 4903 [ # fusions to 2^10:L5(2) 4904 "L5(2)", ], 4905 [ # fusions to mx1j4 4906 "M24", ], 4907 [ # fusions to (A4xA5):2 4908 "2.(A5xA4).2", ], 4909 [ # fusions to (A5xD10).2 4910 ], 4911 [ # fusions to L3(2).2x2 4912 ], 4913 [ # fusions to 3^5.U4(2) 4914 "3.3^5.U4(2)", ], 4915 [ # fusions to 3.3^5.U4(2) 4916 ], 4917 [ # fusions to C9Y3.3^5.U4(2) 4918 ], 4919 [ # fusions to 2^24.Co1 4920 "2^1+24.Co1", ], 4921 [ # fusions to 2^1+24.Co1 4922 "2^1+24.2.Co1", ], 4923 [ # fusions to 2^1+24.2.Co1 4924 ], 4925 [ # fusions to 2xF4(2) 4926 "6x2.F4(2)", "2^2xF4(2)", "2x2.F4(2)", ], 4927 [ # fusions to 2^2xF4(2) 4928 ], 4929 [ # fusions to 2xF4(2).2 4930 "2xF4(2)", "(2^2xF4(2)):2", ], 4931 [ # fusions to (2^2xF4(2)):2 4932 "2^2xF4(2)", ], 4933 [ # fusions to 2x2.F4(2) 4934 "6x2.F4(2)", ], 4935 [ # fusions to 2^2.2E6(2)M4 4936 "(2^2x3).2E6(2)M4", ], 4937 [ # fusions to 2^2.2E6(2)M5 4938 "(2^2x3).2E6(2)M5", ], 4939 [ # fusions to 2.2E6(2)M5 4940 "6.2E6(2)M5", "(2^2x3).2E6(2)M5", "2^2.2E6(2)M5", ], 4941 [ # fusions to 2E6(2)M4 4942 "2.F4(2)", "3.2E6(2)M4", "3x2.F4(2)", "(2^2x3).2E6(2)M4", "2^2.2E6(2)M4", ], 4943 [ # fusions to 2E6(2)M5 4944 "3.2E6(2)M5", "6.2E6(2)M5", "(2^2x3).2E6(2)M5", "2^2.2E6(2)M5", 4945 "2.2E6(2)M5", ], 4946 [ # fusions to S3xFi22.2 4947 "(S3x2.Fi22).2", ], 4948 [ # fusions to 2xFi22 4949 "2x6.Fi22", "2x2.Fi22", ], 4950 [ # fusions to 2xFi22.2 4951 "S3xFi22.2", "2xFi22", "2^2.Fi22.2", ], 4952 [ # fusions to 2x2.Fi22 4953 "2x6.Fi22", ], 4954 [ # fusions to 2^2.2E6(2)M8 4955 "(2^2x3).2E6(2)M8", ], 4956 [ # fusions to 2^2.2E6(2)M9 4957 "(2^2x3).2E6(2)M9", ], 4958 [ # fusions to 2.2E6(2)M9 4959 "6.2E6(2)M9", "(2^2x3).2E6(2)M9", "2^2.2E6(2)M9", ], 4960 [ # fusions to 2E6(2)M8 4961 "2.Fi22", "6.Fi22", "3.2E6(2)M8", "(2^2x3).2E6(2)M8", "2^2.2E6(2)M8", ], 4962 [ # fusions to 2E6(2)M9 4963 "3.2E6(2)M9", "6.2E6(2)M9", "(2^2x3).2E6(2)M9", "2^2.2E6(2)M9", 4964 "2.2E6(2)M9", ], 4965 [ # fusions to 2^2.Fi22.2 4966 "2.Fi22.2", "2x2.Fi22", "(S3x2.Fi22).2", ], 4967 [ # fusions to 3x2.Fi22.2 4968 ], 4969 [ # fusions to (S3x2.Fi22).2 4970 "3x2.Fi22.2", ], 4971 [ # fusions to 2xFi23 4972 ], 4973 [ # fusions to 2xTh 4974 "S3xTh", ], 4975 [ # fusions to S3xTh 4976 ], 4977 [ # fusions to (3^2:D8xU4(3).2^2).2 4978 "2.(3^2:D8xU4(3).2^2).2", ], 4979 [ # fusions to 2x47:23 4980 ], 4981 [ # fusions to 41:40 4982 ], 4983 [ # fusions to L3(3)xD8 4984 "3^(3+6):(L3(3)xD8)", ], 4985 [ # fusions to 5:4xHS.2 4986 ], 4987 [ # fusions to S4x2F4(2)'.2 4988 "(GL(2,3)x2F4(2)').2", ], 4989 [ # fusions to A5.2xM22.2 4990 ], 4991 [ # fusions to 5^2:4S4xS5 4992 "(5^2:4S4x2.A5):2", ], 4993 [ # fusions to 3^(3+6):(L3(3)xD8) 4994 ], 4995 [ # fusions to 3^6.L4(3).D8 4996 ], 4997 [ # fusions to 2^2.(U3(3).2xS4) 4998 ], 4999 [ # fusions to 3^(1+8).2^(1+6).U4(2).2 5000 ], 5001 [ # fusions to 3^2.3^3.3^6.(S4x2S4) 5002 ], 5003 [ # fusions to (S6xL3(4).2).2 5004 ], 5005 [ # fusions to 5^(1+4).2^(1+4).A5.4 5006 ], 5007 [ # fusions to (S6xS6).4 5008 ], 5009 [ # fusions to (D10xHN).2 5010 ], 5011 [ # fusions to 7^(1+4):(3x2.S7) 5012 "7^1+4.2A7", ], 5013 [ # fusions to (3^(1+2)+x3^2):2S4 5014 "3.(3^(1+2)+x3^2):2S4", ], 5015 [ # fusions to G2(3)M4 5016 "3.G2(3)M4", ], 5017 [ # fusions to 2^(1+4)+:3^2.2 5018 "3.2^(1+4)+:3^2.2", ], 5019 [ # fusions to A5xA5 5020 "2.A5xA5", ], 5021 [ # fusions to 2.(A5xA5).2 5022 ], 5023 [ # fusions to 2^(5+5):31 5024 ], 5025 [ # fusions to 41:4 5026 ], 5027 [ # fusions to 25:4 5028 ], 5029 [ # fusions to D62 5030 ], 5031 [ # fusions to D24 5032 "2.D24", "D120", ], 5033 [ # fusions to D20 5034 "2.D20", ], 5035 [ # fusions to S3xU4(2) 5036 ], 5037 [ # fusions to 2xU4(3).2_2 5038 "2x6_1.U4(3).2_2", "2x2.U4(3).2_2", "2x3_1.U4(3).2_2", ], 5039 [ # fusions to 2x3_1.U4(3).2_2 5040 "2x6_1.U4(3).2_2", ], 5041 [ # fusions to O8+(3)M14 5042 ], 5043 [ # fusions to (A4xU4(2)):2 5044 ], 5045 [ # fusions to O8+(3)M19 5046 ], 5047 [ # fusions to O8+(3)M20 5048 ], 5049 [ # fusions to O8+(3)M21 5050 ], 5051 [ # fusions to O8+(3)M22 5052 ], 5053 [ # fusions to O8+(3)M23 5054 ], 5055 [ # fusions to (A6xA6):2^2 5056 "2.(A6xA6).2^2", ], 5057 [ # fusions to O8+(3)M25 5058 ], 5059 [ # fusions to O8+(3)M26 5060 ], 5061 [ # fusions to (A4wr2^2):2 5062 "O8+(3)M27", ], 5063 [ # fusions to O8+(3)M27 5064 ], 5065 [ # fusions to 2^8.A9 5066 "A9", ], 5067 [ # fusions to 2..11.m23 5068 ], 5069 [ # fusions to 2.2^8.f20 5070 ], 5071 [ # fusions to 2^10:(2^5:s5) 5072 ], 5073 [ # fusions to 2^2.2^8:s3 5074 ], 5075 [ # fusions to 2.[2^9]:5:4 5076 "2.2^8.f20", ], 5077 [ # fusions to 2^2.[2^9]:S3 5078 "2^2.2^8:s3", ], 5079 [ # fusions to 2^6:u3(3) 5080 "U3(3)", ], 5081 [ # fusions to 2^{1+6}:3^{1+2}:2A4 5082 ], 5083 [ # fusions to 2^(4+4):(3xA5) 5084 ], 5085 [ # fusions to 3^4:S5 5086 "A5.2", ], 5087 [ # fusions to 3.s7x2 5088 ], 5089 [ # fusions to 4.s4 5090 ], 5091 [ # fusions to 4^2:s3 5092 ], 5093 [ # fusions to A11Syl2 5094 "LyN2", ], 5095 [ # fusions to a4 5096 "2.L2(3)", ], 5097 [ # fusions to 2.L2(3) 5098 ], 5099 [ # fusions to a5wc2 5100 "2^(1+8).(A5xA5).2", "h4", ], 5101 [ # fusions to S4(4)M6 5102 ], 5103 [ # fusions to affine 5104 ], 5105 [ # fusions to b33141 5106 "2.(2.(A4xA4).2)", ], 5107 [ # fusions to bd10 5108 ], 5109 [ # fusions to bd6 5110 ], 5111 [ # fusions to bd8 5112 ], 5113 [ # fusions to M22C2A 5114 ], 5115 [ # fusions to M24C2B 5116 ], 5117 [ # fusions to c3d2 5118 ], 5119 [ # fusions to D120 5120 ], 5121 [ # fusions to esp43t 5122 ], 5123 [ # fusions to j2nd2 5124 ], 5125 [ # fusions to 2^10:m22 5126 "M22", "2.Fi22M5", "3.Fi22M5", "6.Fi22M5", "2.U6(2)M3", ], 5127 [ # fusions to 2.Fi22M5 5128 "6.Fi22M5", "2^2.U6(2)M3", ], 5129 [ # fusions to 3.Fi22M5 5130 "6.Fi22M5", "6.U6(2)M3", ], 5131 [ # fusions to 6.Fi22M5 5132 ], 5133 [ # fusions to 2^6:s6f2 5134 "2^6:U4(2).2", "2^6:S8", "S6(2)", ], 5135 [ # fusions to f22s2 5136 ], 5137 [ # fusions to g61 5138 ], 5139 [ # fusions to g61s1 5140 ], 5141 [ # fusions to g72x16 5142 ], 5143 [ # fusions to ghh 5144 ], 5145 [ # fusions to gl25 5146 "5^(2+2+4):(S3xGL2(5))", "5^2:4s5", "5^(1+2):GL2(5)", "5^(1+4):GL(2,5)", ], 5147 [ # fusions to group2 5148 ], 5149 [ # fusions to group3 5150 ], 5151 [ # fusions to group5 5152 ], 5153 [ # fusions to group6 5154 ], 5155 [ # fusions to gs4 5156 ], 5157 [ # fusions to h4 5158 ], 5159 [ # fusions to hed3 5160 ], 5161 [ # fusions to hess 5162 ], 5163 [ # fusions to hsd2 5164 ], 5165 [ # fusions to m12d2 5166 ], 5167 [ # fusions to mo61 5168 "2^4:(S3xS3)", ], 5169 [ # fusions to 2^4:(S3xS3) 5170 "2(A4xA4).2^2", ], 5171 [ # fusions to mo62 5172 "A5.2", "P1/G1/L1/V1/ext2", "2^(1+4).S5", "mo62p", ], 5173 [ # fusions to mo62p 5174 ], 5175 [ # fusions to mo81 5176 "2^6:A8", ], 5177 [ # fusions to 2^6:A8 5178 "A8", "P31/G1/L1/V1/ext2", "(2x2^(1+6)_+).A8", "2^(1+6)_+.A8", ], 5179 [ # fusions to 2^(1+6)_+.A8 5180 "(2x2^(1+6)_+).A8", "2^2.O8+(2)M5", ], 5181 [ # fusions to ons1 5182 ], 5183 [ # fusions to S3xU4(3) 5184 ], 5185 [ # fusions to P1L62 5186 "L5(2)", ], 5187 [ # fusions to 2^6:L6(2) 5188 "L6(2)", ], 5189 [ # fusions to P1L82 5190 "L7(2)", ], 5191 [ # fusions to P2L62 5192 ], 5193 [ # fusions to 2^10:(L5(2)xS3) 5194 ], 5195 [ # fusions to P3L62 5196 ], 5197 [ # fusions to 2^12:(L4(2)xL3(2)) 5198 ], 5199 [ # fusions to P2L82 5200 ], 5201 [ # fusions to L3(4)Syl2 5202 ], 5203 [ # fusions to M23C2A 5204 "M22C2A", ], 5205 [ # fusions to U72CT 5206 ], 5207 [ # fusions to pap 5208 ], 5209 [ # fusions to V4 5210 "Q8", ], 5211 [ # fusions to Q8 5212 "C4", "2.M12M8", ], 5213 [ # fusions to M24C2A 5214 ], 5215 [ # fusions to s2wrs2 5216 "2.HSN3", ], 5217 [ # fusions to s2wrs3 5218 ], 5219 [ # fusions to s2wrs4 5220 ], 5221 [ # fusions to s2wrs5 5222 ], 5223 [ # fusions to s3wrs2 5224 "S3xS3", ], 5225 [ # fusions to s3wrs3 5226 ], 5227 [ # fusions to s4 5228 "2.Symm(4)", "3xSymm(4)", "3x2.Symm(4)", "(a4xpsl(3,4)):2", ], 5229 [ # fusions to A6M5 5230 "2.A6M5", "3.A6M5", "6.A6M5", ], 5231 [ # fusions to s4wrs2 5232 ], 5233 [ # fusions to s5wrs2 5234 "(A7x(A5xA5):2^2):2", "(A5xA5):2^2", ], 5235 [ # fusions to S4wrS3 5236 ], 5237 [ # fusions to S3wrS4 5238 ], 5239 [ # fusions to 2^6:S6 5240 ], 5241 [ # fusions to A8.2N2 5242 "s61p", ], 5243 [ # fusions to s61p 5244 ], 5245 [ # fusions to sl25ex 5246 ], 5247 [ # fusions to suzd2 5248 ], 5249 [ # fusions to suzdx 5250 ], 5251 [ # fusions to suzs2 5252 ], 5253 [ # fusions to twd5a 5254 "3^1+4:2^1+4.s5", "affine", ], 5255 [ # fusions to w(d4) 5256 ], 5257 [ # fusions to w(d5) 5258 ], 5259 [ # fusions to w(f4) 5260 "b33141", ], 5261 [ # fusions to 2^4:3^2:4 5262 ], 5263 [ # fusions to 2^6:3^(1+2).D8 5264 "3^(1+2):D8", ], 5265 [ # fusions to 3^(1+4):4S4 5266 ], 5267 [ # fusions to 2^(4+4).(S3xS3).2 5268 ], 5269 [ # fusions to 2.2^(2+2).2^(1+1+2+2):S4 5270 ], 5271 [ # fusions to 2^(2+1+2).2^(1+1+2).2^2.S4 5272 ], 5273 [ # fusions to 2^(4+10).(S4xS3) 5274 ], 5275 [ # fusions to 5^(1+4):4.3^2:D8 5276 ], 5277 [ # fusions to 2^11.2^6.3^(1+2).D8 5278 ], 5279 [ # fusions to 2^12:Sz(8) 5280 ], 5281 [ # fusions to 2^10:M22' 5282 "M22", ], 5283 [ # fusions to 2^12:J2 5284 ], 5285 [ # fusions to 2.B 5286 "(GL(2,3)x2F4(2)').2", "(QD16x2F4(2)').2", "2.(3^2:D8xU4(3).2^2).2", 5287 "2xBN5", "(5^2:4S4x2.A5):2", "2.BN7", "2xM11", "(S3x2.Fi22).2", "2xFi23", 5288 "2xTh", "2x47:23", "2^2.2E6(2).2", ], 5289 [ # fusions to B 5290 "2^(1+22).Co2", "D8x2F4(2)'.2", "Fi23", "L2(11).2", "L2(17).2", "L2(31)", 5291 "L2(49).2_3", "L3(3)", "M11", "[2^30].L5(2)", "2^(9+16).S8(2)", 5292 "[2^35].(S5xL3(2))", "2^(2+10+20).(M22.2xS3)", "31:15", "47:23", 5293 "5^3.psl(3,5)", "S3xFi22.2", "(3^2:D8xU4(3).2^2).2", "5:4xHS.2", 5294 "S4x2F4(2)'.2", "A5.2xM22.2", "5^2:4S4xS5", "3^(3+6):(L3(3)xD8)", 5295 "3^(1+8).2^(1+6).U4(2).2", "3^2.3^3.3^6.(S4x2S4)", "(S6xL3(4).2).2", 5296 "5^(1+4).2^(1+4).A5.4", "(S6xS6).4", "2.B", "O8+(3)", "O8+(3).S4", "HN.2", 5297 "Th", "LyN5", "BN7", "2.2E6(2).2", ], 5298 [ # fusions to M 5299 "2.(2xF4(2)).2", "(QD16x2F4(2)').2", "(3^(1+2):2^2xG2(3)):2", "MN5", 5300 "3.F3+.2", "L2(41)", "L2(59)", "L2(71)", "3^(1+12).2.Suz.2", 5301 "5^(1+6):2.J2.4", "(7:3xHe):2", "(A5xA12):2", "5^(3+3).(2xL3(5))", 5302 "(A6xA6xA6).(2xS4)", "(A5xU3(8):3):2", "5^(2+2+4):(S3xGL2(5))", 5303 "(L3(2)xS4(4):2).2", "(5^2:[2^4]xU3(5)).S3", "(L2(11)xM12):2", 5304 "(A7x(A5xA5):2^2):2", "5^4:(3x2.L2(25)).2", "7^(2+1+2):GL2(7)", 5305 "M11xA6.2^2", "(S5xS5xS5):S3", "13^2:2.L2(13).4", "(7^2:(3x2A4)xL2(7)).2", 5306 "(13:6xL3(3)).2", "2^1+24.Co1", "(S3x2.Fi22).2", "S3xTh", "2x47:23", 5307 "41:40", "(D10xHN).2", "7^(1+4):(3x2.S7)", "2.B", "7^1+4.2A7", 5308 "13^(1+2):(3x4S4)", "2^2.2E6(2).3.2", ], 5309 [ # fusions to (3^2:2xG2(3)).2 5310 ], 5311 [ # fusions to (3xA6).2_1 5312 ], 5313 [ # fusions to (A6xA6).D8 5314 "(A6xA6):2^2", ], 5315 [ # fusions to 2.(A4xA4) 5316 ], 5317 [ # fusions to 2.2^(2+8).(3xA5) 5318 ], 5319 [ # fusions to 2F4(8) 5320 ], 5321 [ # fusions to 2^(1+6)_-3.3.3^2:2 5322 ], 5323 [ # fusions to 2^(2+8):(3xA5) 5324 "2.2^(2+8).(3xA5)", ], 5325 [ # fusions to 2^(4+6):(A5x3) 5326 "2.2^(4+6).(A5x3)", ], 5327 [ # fusions to 2^(4+8):(S3xA5) 5328 "2.2^(4+8):(S3xA5)", "3x2.2^(4+8):(S3xA5)", "2^2.2^(4+8):(S3xA5)", 5329 "3x2^2.2^(4+8):(S3xA5)", ], 5330 [ # fusions to 2^5:L5(2) 5331 "L5(2)", ], 5332 [ # fusions to 2^6:U4(2) 5333 "U4(2)", ], 5334 [ # fusions to 2^8:O8-(2) 5335 "O8-(2)", ], 5336 [ # fusions to 2^9.L3(4) 5337 "L3(4)", "2.U6(2)M3", "3.U6(2)M3", "6.U6(2)M3", ], 5338 [ # fusions to 2.U6(2)M3 5339 "6.U6(2)M3", "2^2.U6(2)M3", ], 5340 [ # fusions to 3.U6(2)M3 5341 "6.U6(2)M3", ], 5342 [ # fusions to 6.U6(2)M3 5343 "(2^2x3).U6(2)M3", ], 5344 [ # fusions to 2^2.U6(2)M3 5345 "(2^2x3).U6(2)M3", ], 5346 [ # fusions to (2^2x3).U6(2)M3 5347 ], 5348 [ # fusions to 2xS6(2) 5349 "2x2.S6(2)", "6xS6(2)", "2^2xS6(2)", "2^2x3xS6(2)", ], 5350 [ # fusions to 3.ONM6 5351 ], 5352 [ # fusions to 3^(1+4).2U4(2) 5353 ], 5354 [ # fusions to 3^(1+4).2U4(2).2 5355 "3^(1+4).2U4(2)", ], 5356 [ # fusions to 3^3.S4 5357 "(2x3^3).S4", ], 5358 [ # fusions to 3^3:A4 5359 ], 5360 [ # fusions to 3^4.2U4(2) 5361 "3^(1+4).2U4(2)", "2.U4(2)", ], 5362 [ # fusions to 3^4.2U4(2).2 5363 "3^(1+4).2U4(2).2", "3^4.2U4(2)", "2.U4(2).2", ], 5364 [ # fusions to 3^4:(2xA5) 5365 ], 5366 [ # fusions to 3^4:A6 5367 "A6", "3^2.(3^4:A6)", ], 5368 [ # fusions to 2x3^4:A6 5369 ], 5370 [ # fusions to 3^4:2.A6 5371 ], 5372 [ # fusions to 2.(2x3^4:A6) 5373 ], 5374 [ # fusions to 4.3^(1+4)_+.2S4 5375 ], 5376 [ # fusions to 3^2.(3^4:A6) 5377 ], 5378 [ # fusions to 3^2.(3^(1+4)_+.2S4) 5379 ], 5380 [ # fusions to 3^6:L4(3) 5381 "L4(3)", ], 5382 [ # fusions to O8+(3)M8 5383 ], 5384 [ # fusions to O8+(3)M9 5385 ], 5386 [ # fusions to 3^7.O7(3) 5387 ], 5388 [ # fusions to 5^(1+4):GL(2,5) 5389 ], 5390 [ # fusions to 6xU5(2) 5391 "2^2x3xU5(2)", ], 5392 [ # fusions to 7^2:2.L2(7).2 5393 "7^2:2psl(2,7)", ], 5394 [ # fusions to A6.D8 5395 ], 5396 [ # fusions to D8xL4(3).2_2 5397 "L4(3).2_2", ], 5398 [ # fusions to M22.2M3 5399 ], 5400 [ # fusions to O7(3).2x2 5401 "O7(3).2", ], 5402 [ # fusions to O8-(3).2_1M4 5403 ], 5404 [ # fusions to S4xU4(2).2 5405 "U4(2).2", ], 5406 [ # fusions to O8-(3)M8 5407 ], 5408 [ # fusions to 2^6:U4(2).2 5409 "U4(2).2", ], 5410 [ # fusions to (S3xS3):2xS5 5411 ], 5412 [ # fusions to 2^3.L3(2) 5413 ], 5414 [ # fusions to S8(2)M3 5415 ], 5416 [ # fusions to 2^10.A8 5417 ], 5418 [ # fusions to (S6xS6):2 5419 ], 5420 [ # fusions to 2^(3+8):(S3xS6) 5421 ], 5422 [ # fusions to S3xS6(2) 5423 ], 5424 [ # fusions to 2^(6+6):(S3xL3(2)) 5425 ], 5426 [ # fusions to 2^8:S6(2) 5427 "S6(2)", ], 5428 [ # fusions to 2^6:S8 5429 "A8.2", ], 5430 [ # fusions to 2^(1+4).S3 5431 ], 5432 [ # fusions to 2x3.A6 5433 ], 5434 [ # fusions to 7^1+2.6 5435 ], 5436 [ # fusions to M12C4 5437 ], 5438 [ # fusions to 1/2(8xS3) 5439 ], 5440 [ # fusions to (2^2x3).2 5441 ], 5442 [ # fusions to 4.2^2 5443 ], 5444 [ # fusions to (4xA6).2^2 5445 ], 5446 [ # fusions to 5^1+2.2A4 5447 ], 5448 [ # fusions to 13^1+2.2A4 5449 ], 5450 [ # fusions to 7^1+4.2A7 5451 ], 5452 [ # fusions to 7xL2(8) 5453 ], 5454 [ # fusions to (7xL2(8)).3 5455 "7xL2(8)", ], 5456 [ # fusions to O7(3)N3A 5457 "2.O7(3)M9", "3.O7(3)M9", "6.O7(3)M9", ], 5458 [ # fusions to 2^6:A7 5459 "A7", "2^(1+6)_+:A7", "2^6:3A7", "2^(1+6)_+:3A7", ], 5460 [ # fusions to 2^8:S8 5461 "A8.2", "2^(1+8):S8", ], 5462 [ # fusions to 2^(1+8):S8 5463 ], 5464 [ # fusions to 2^6:S5 5465 ], 5466 [ # fusions to L3(2)wr2 5467 ], 5468 [ # fusions to 2.O7(3) 5469 "Isoclinic(2.A9.2)", "2.L4(3).2_2", "(2x3^5).U4(2).2", "2xG2(3)", 5470 "2.O7(3)M5", "2x3^(3+3):L3(3)", "2.O7(3)M8", "2.O7(3)M9", "2.O7(3)M11", 5471 "2.(2^2xU4(2)).2", "2^(1+6)_+:A7", "2.(S6xS4)", "2.(A4x2(A4xA4).2).2", 5472 "6.O7(3)", "2.S6(2)", "4.U4(3).2_2", ], 5473 [ # fusions to 2.O7(3).2 5474 "2.O7(3)", "6.O7(3).2", ], 5475 [ # fusions to 3.O7(3) 5476 "3.G2(3)", "3xS6(2)", "3.3^5:U4(2):2", "3xL4(3).2_2", "3.O7(3)M5", 5477 "3.(3^(3+3):L3(3))", "3.O7(3)M8", "3.O7(3)M9", "3xS9", "3.O7(3)M11", 5478 "3x(2^2xU4(2)):2", "2^6:3A7", "3xS6xS4", "3.(A4x2(A4xA4).2).2", "6.O7(3)", 5479 "6_1.U4(3).2_2", ], 5480 [ # fusions to 3.O7(3).2 5481 "3.O7(3)", "6.O7(3).2", ], 5482 [ # fusions to 6.O7(3) 5483 "6.(3^5:U4(2):2)", "3x2.L4(3).2_2", "2x3.G2(3)", "6.O7(3)M5", 5484 "2x3.(3^(3+3):L3(3))", "3x2.S6(2)", "6.O7(3)M8", "6.O7(3)M9", 5485 "3xIsoclinic(2.A9.2)", "6.O7(3)M11", "3x2.(2^2xU4(2)).2", "2^(1+6)_+:3A7", 5486 "3x2.(S6xS4)", "6.(A4x2(A4xA4).2).2", "12_1.U4(3).2_2", ], 5487 [ # fusions to 6.O7(3).2 5488 "6.O7(3)", ], 5489 [ # fusions to Fi22M3 5490 ], 5491 [ # fusions to O7(3) 5492 "A9.2", "G2(3)", "3^5:U4(2)", "3^7:O7(3)", "L4(3).2_2", "S6xS4", 5493 "3^5:U4(2):2", "O7(3)M5", "3^(3+3):L3(3)", "O7(3)M8", "O7(3)M11", 5494 "(2^2xU4(2)):2", "(A4x2(A4xA4).2).2", "3^7.O7(3)", "O7(3)N3A", "2^6:A7", 5495 "2.O7(3)", "3.O7(3)", "6.O7(3)", "S6(2)", "2.U4(3).2_2", ], 5496 [ # fusions to O8+(3)M2 5497 ], 5498 [ # fusions to O8+(3)M3 5499 ], 5500 [ # fusions to O8+(3)M4 5501 ], 5502 [ # fusions to O8+(3)M5 5503 ], 5504 [ # fusions to O8+(3)M6 5505 ], 5506 [ # fusions to O7(3).2 5507 "3^7.O7(3):2", "3^5:(2xU4(2).2)", "2.O7(3).2", "3.O7(3).2", "6.O7(3).2", 5508 "O7(3)", "2.U4(3).(2^2)_{1*22}", ], 5509 [ # fusions to O8-(3)M3 5510 ], 5511 [ # fusions to 2.O8+(2) 5512 "2.A9", "P31/G1/L1/V1/ext2", "2.O8+(2)M3", "2.O8+(2)M6", "2xA9", 5513 "2.O8+(2)M9", "2x(3xU4(2)):2", "(3x2.U4(2)):2", "2.O8+(2)M12", 5514 "2.2^(1+8)_+:(S3xS3xS3)", "(2x3^4:2^3).S4", "(A5xA5).(2x4)", 5515 "2.(A5xA5).2^2", "2.O8+(2)M17", "2^(1+6)_+.A8", "2xS6(2)", "2^2.O8+(2)", 5516 "2.S6(2)", ], 5517 [ # fusions to 2.O8+(2).2 5518 "2.O8+(2)", "2^2.O8+(2).2", ], 5519 [ # fusions to 2^2.O8+(2) 5520 "2x2.S6(2)", "2^2.O8+(2)M2", "2^2.O8+(2)M3", "(2x2^(1+6)_+).A8", 5521 "2^2.O8+(2)M5", "2^2.O8+(2)M6", "2x2.A9", "2^2.O8+(2)M8", "2^2.O8+(2)M9", 5522 "2x(3x2.U4(2)):2", "2^2.O8+(2)M11", "2^2.O8+(2)M12", 5523 "2^2.(2^(1+8)_+:(S3xS3xS3))", "(2^2x3^4).2^3.S4", "(2x2.(A5xA5)):2^2", 5524 "2^2.O8+(2)M16", "2^2.O8+(2)M17", ], 5525 [ # fusions to 2^2.O8+(2).2 5526 "2^2.O8+(2)", ], 5527 [ # fusions to 2^2.O8+(2).3 5528 "2^2.O8+(2)", ], 5529 [ # fusions to 2^2.O8+(2).3.2 5530 "2^2.O8+(2).2", "2^2.O8+(2).3", ], 5531 [ # fusions to O8+(2) 5532 "A9", "2^8:O8+(2)", "O8+(2)M2", "O8+(2)M3", "O8+(2)M5", "O8+(2)M6", 5533 "O8+(2)M8", "O8+(2)M9", "(3xU4(2)):2", "O8+(2)M11", "O8+(2)M12", 5534 "2^(1+8)_+:(S3xS3xS3)", "3^4:2^3.S4(a)", "(A5xA5):2^2", "O8+(2)M16", 5535 "O8+(2)M17", "2^(1+8)+.O8+(2)", "2^6:A8", "2.O8+(2)", "2^2.O8+(2)", 5536 "S6(2)", ], 5537 [ # fusions to O8+(3)M11 5538 ], 5539 [ # fusions to O8+(3)M12 5540 ], 5541 [ # fusions to O8+(3)M13 5542 ], 5543 [ # fusions to O8+(2).2 5544 "2^8:O8+(2):2", "2xS6(2)", "2^6:S8", "2.O8+(2).2", "2^2.O8+(2).2", 5545 "O8+(2)", ], 5546 [ # fusions to O8+(2).3 5547 "2^2.O8+(2).3", "O8+(2)", ], 5548 [ # fusions to O8+(2).3.2 5549 "(A4xO8+(2).3).2", "2^2.O8+(2).3.2", "O8+(2).2", "O8+(2).3", "Fi22N5", ], 5550 [ # fusions to O8+(3) 5551 "O8+(3)M14", "(A4xU4(2)):2", "O8+(3)M19", "O8+(3)M20", "O8+(3)M21", 5552 "O8+(3)M22", "O8+(3)M23", "(A6xA6):2^2", "O8+(3)M25", "O8+(3)M26", 5553 "O8+(3)M27", "3^6:L4(3)", "O8+(3)M8", "O8+(3)M9", "O7(3)", "O8+(3)M2", 5554 "O8+(3)M3", "O8+(3)M4", "O8+(3)M5", "O8+(3)M6", "O8+(2)", "O8+(3)M11", 5555 "O8+(3)M12", "O8+(3)M13", "2.O8+(3)", "2^2.O8+(3)", "2.U4(3).(2^2)_{122}", 5556 "O8+(3)M16", "O8+(3)M17", ], 5557 [ # fusions to O8+(3).2_1 5558 "3^6:(L4(3)x2)", "O8+(3)", ], 5559 [ # fusions to O8+(3).2_1' 5560 "O8+(3)", ], 5561 [ # fusions to O8+(3).2_1'' 5562 "O8+(3)", ], 5563 [ # fusions to O8+(3).2_2 5564 "O8+(3)", ], 5565 [ # fusions to O8+(3).2_2' 5566 "O8+(3)", ], 5567 [ # fusions to O8+(3).3 5568 "O8+(3)", "2^2.O8+(3).3", ], 5569 [ # fusions to O8+(3).3.2 5570 "(3xO8+(3):3):2", "O8+(3).2_2", "O8+(3).3", ], 5571 [ # fusions to O8+(3).4 5572 "O8+(3)", "O8+(3).2_1", ], 5573 [ # fusions to O8+(3).(2^2)_{111} 5574 "O8+(3)", "O8+(3).2_1", "O8+(3).2_1'", "O8+(3).2_1''", ], 5575 [ # fusions to O8+(3).(2^2)_{122} 5576 "O8+(3).2_1", "O8+(3).2_2", "O8+(3).2_2'", ], 5577 [ # fusions to O8+(3).D8 5578 "3^6.L4(3).D8", "O8+(3).2_1", "O8+(3).2_2", "O8+(3).4", 5579 "O8+(3).(2^2)_{111}", "O8+(3).(2^2)_{122}", ], 5580 [ # fusions to O8+(3).A4 5581 "O8+(3).2_1", "O8+(3).3", "O8+(3).(2^2)_{111}", ], 5582 [ # fusions to O8+(3).S4 5583 "3^(3+6):(L3(3)xD8)", "2^2.(U3(3).2xS4)", "O8+(3).2_1", "O8+(3).2_2", 5584 "O8+(3).3", "O8+(3).4", "O8+(3).D8", "O8+(3).A4", ], 5585 [ # fusions to 2.O8+(3) 5586 "2^2.O8+(3)", ], 5587 [ # fusions to 2^2.O8+(3) 5588 ], 5589 [ # fusions to 2^2.O8+(3).3 5590 "2^2.O8+(3)", ], 5591 [ # fusions to O10+(2) 5592 "2^8:O8+(2)", "2^10:L5(2)", "S8(2)", ], 5593 [ # fusions to O10+(2).2 5594 "2^8:O8+(2):2", "O10+(2)", ], 5595 [ # fusions to O10-(2) 5596 "2^8:O8-(2)", ], 5597 [ # fusions to O10-(2).2 5598 "2^8:O8-(2):2", "O10-(2)", ], 5599 [ # fusions to O8-(2) 5600 "L2(16).2", "L3(2)", "(A8x3).2", "(S3xS3xA5):2", "2^{3+6}:(L3(2)x3)", 5601 "2^{1+8}_+:(S3xA5)", "2^6:U4(2)", "2^8:O8-(2)", "S6(2)", ], 5602 [ # fusions to O8-(2).2 5603 "L2(16).4", "L3(2).2", "S8xS3", "2^8:O8-(2):2", "2xS6(2)", "2^6:U4(2).2", 5604 "(S3xS3):2xS5", "O8-(2)", ], 5605 [ # fusions to O8-(3) 5606 "L2(81).2_1", "3^6:2U4(3).2_1", "S4xU4(2).2", "O8-(3)M8", "O7(3).2", 5607 "O8-(3)M3", "2.O8-(3)", ], 5608 [ # fusions to 2.O8-(3) 5609 ], 5610 [ # fusions to O8-(3).2_1 5611 "L2(81).4_1", "D8xL4(3).2_2", "O7(3).2x2", "O8-(3).2_1M4", "O8-(3)", ], 5612 [ # fusions to O8-(3).2_2 5613 "O8-(3)", ], 5614 [ # fusions to O8-(3).2_3 5615 "O8-(3)", ], 5616 [ # fusions to O8-(3).2^2 5617 "O8-(3).2_1", "O8-(3).2_2", "O8-(3).2_3", ], 5618 [ # fusions to O12-(2).2 5619 "U4(4).4", ], 5620 [ # fusions to O12+(2).2 5621 "S10(2)", ], 5622 [ # fusions to O7(5) 5623 "G2(5)", "S6(2)", ], 5624 [ # fusions to O7(5).2 5625 "O7(5)", ], 5626 [ # fusions to O9(3) 5627 "A10", "2^8.A9", "2.O9(3)", ], 5628 [ # fusions to 2.O9(3) 5629 ], 5630 [ # fusions to O10-(3) 5631 "2.O10-(3)", "U5(3)", ], 5632 [ # fusions to 2.O10-(3) 5633 ], 5634 [ # fusions to O8+(7) 5635 "2.O8+(7)", ], 5636 [ # fusions to 2.O8+(7) 5637 ], 5638 [ # fusions to 2.HS 5639 "2.HSN2", "NDG(2.HS,Q8)", "5^(1+2):8:4", "Isoclinic(2.L3(4).2_1)", "2.M22", 5640 "2xM11", "2.HSM9", "2.2^4.S6", "2.HSM11", "2.HSM10", "2.4^3.L3(2)", 5641 "5:4x2.A5", "Isoclinic(S8x2)", "Isoclinic(U3(5).2x2)", "2.HSM3", "2.HSN3", ], 5642 [ # fusions to 2.HS.2 5643 "2.HS.2N3", "2.HS.2N2", "2.HS", "2.HS.2N5", ], 5644 [ # fusions to Isoclinic(2.HS.2) 5645 ], 5646 [ # fusions to HS.2x2 5647 "4.HS.2", ], 5648 [ # fusions to Isoclinic(2.HSx2) 5649 ], 5650 [ # fusions to 4.HS.2 5651 "Isoclinic(2.HSx2)", ], 5652 [ # fusions to 2.Ru 5653 "2.RuN2", "5^(1+2):(4x4):4", "2.L2(29)", "2.(2^2xSz(8)):3", "2.2.2^4+6:S5", 5654 "2xA8", "2.2^3+8:L3(2)", "2.2^6:u3(3):2", "2.RuM1", "5:4x2.A5", 5655 "2xU3(5).2", "L2(25).(2x4)", "2x5^2:4S5", "3.A6.(2x4)", 5656 "Isoclinic(L2(13).2x2)", "A6.D8", "(2x3^(1+2)_+:8):2", ], 5657 [ # fusions to 2.Suz 5658 "2.A7", "2.G2(4)", "2.J2.2", "2.L2(25)", "Isoclinic(2.M12.2)", 5659 "(3^2:4x2.A6).2", "2.(A4xL3(4)).2", "2.SuzM4", "2.SuzM9", "(2xL3(3)).2", 5660 "2.SuzM7", "2xU5(2)", "2x3^5:M11", "2.SuzM11", "(A6x2.A5).2", "6.Suz", 5661 "Isoclinic(6_2.U4(3).2_3')", ], 5662 [ # fusions to 2.Suz.2 5663 "2.A7.2", "3^(1+12).2.Suz.2", "2.Suz", "6.Suz.2", ], 5664 [ # fusions to Isoclinic(2.Suz.2) 5665 "Isoclinic(2.A7.2)", ], 5666 [ # fusions to 3.McL 5667 "3xMcLN2", "3x11:5", "6x7:3", "3.M22", "3.McLM3", "3.2^4:a7", "3.McLM10", 5668 "3.3^(1+4):2S5", "3.2^(2+4):(3x3):2", "3.3^4:m10", "3.3^4.3^2.Q8", 5669 "3xL3(4).2_2", "3x2.A8", "3xM11", "3x5^(1+2):3:8", "3_2.U4(3)", "3.U3(5)", ], 5670 [ # fusions to 3.McL.2 5671 "3.McL.2N5", "(3xMcLN2).2", "3.McL.2N3", "3.3^(1+4):4S5", "3.McL", 5672 "3_2.U4(3).2_3'", ], 5673 [ # fusions to 3.ON 5674 "3xONN2", "NDG(3.ON,D8)", "3xONN7", "12_2.L3(4).2_1", "3.ONM5", "3.ONM6", ], 5675 [ # fusions to 3.ON.2 5676 "(3xONN2).2", "3.ON.2N3", "3.ON.2M4", "3.ON.2N7", "3.ON", ], 5677 [ # fusions to 3.Suz 5678 "3.A7", "3^6.M11", "3xG2(4)", "3xU5(2)", "3x2^(1+6)_-.U4(2)", "3xJ2.2", 5679 "3x2^(4+6).3A6", "(A4x3.L3(4)).2", "3x2^(2+8):(A5xS3)", "3xM12.2", 5680 "3.3^(2+4):2(A4x2^2).2", "(3.A6xA5):2", "(3^(1+2):4xA6).2", "3xL3(3).2", 5681 "3xL2(25)", "6.Suz", "3^2.U4(3).2_3'", ], 5682 [ # fusions to 3.Suz.2 5683 "3.A7.2", "(3xG2(4)).2", "(3xU5(2)).2", "(3x2^(1+6)_-.U4(2)).2", 5684 "3^6:(M11x2)", "S3xJ2.2", "(3x2^(4+6):3A6).2", "(A4x3.L3(4).2_3).2", 5685 "(3x2^(2+8):(A5xS3)).2", "S3xM12.2", "3.3^(2+4):2(S4xD8)", 5686 "(3.A6.2_2xA5):2", "(3^(1+2):8xA6).2", "(3xL2(25)).2_2", "3.Suz", 5687 "6.Suz.2", "Isoclinic(6.Suz.2)", "3^2.U4(3).(2^2)_{133}", ], 5688 [ # fusions to 6.Suz 5689 "6.A7", "3x2.J2.2N5", "3x2.SuzM4", "2x3^6.M11", "3x2.J2.2", "3x2.SuzM7", 5690 "3x2.SuzM9", "3xIsoclinic(2.M12.2)", "3x2.G2(4)", "6.SuzM8", "6.SuzM11", 5691 "3x(2xL3(3)).2", "3x2.L2(25)", "(3^(1+2):4x2.A6).2", "(3.A6x2.A5).2", 5692 "6xU5(2)", "Isoclinic((3^2x2).U4(3).2_3')", ], 5693 [ # fusions to 6.Suz.2 5694 "3^(1+12):6.Suz.2", "3^12.6.Suz.2", "6.Suz", ], 5695 [ # fusions to Isoclinic(6.Suz.2) 5696 ], 5697 [ # fusions to F3+M14 5698 ], 5699 [ # fusions to HN 5700 "A12", "NDG(HN,3^2)", "HNN3", "HNN5", "HNM12", "M12.2", "(D10xU3(5)).2", 5701 "2^(1+8).(A5xA5).2", "2^3.2^2.2^6.(3xL3(2))", "2^6.U4(2)", "3^(1+4):4A5", 5702 "3^4:2(A4xA4).4", "5^(1+4):2^(1+4).5.4", "5^2.5.5^2.4A5", "(A6xA6):2^2", 5703 "(A6xA6).D8", "2.HS.2", "19:9", "HNN2", "U3(8).3_1", ], 5704 [ # fusions to HN.2 5705 "A12.2", "NDG(HN.2,3^2)", "HN.2N3", "2^6.U4(2).2", "2^(1+8)_+.(A5xA5).2^2", 5706 "5:4xU3(5):2", "5^(1+4)_+:(4Y2^(1+4)_-.5.4)", "(S6xS6).2^2", 5707 "2^3.2^2.2^6.(S3xL3(2))", "5^2.5.5^2.4S5", "3^4:2(S4xS4).2", "HN.2M13", 5708 "(D10xHN).2", "4.HS.2", "HN", "LyN5", "U3(8).6", ], 5709 [ # fusions to HS 5710 "A8.2", "L3(4).2_1", "HSM9", "M11", "M22", "2^4.s6", "2^4.(S4x2)", 5711 "2xa6.2^2", "4.2^4.S5", "4.2^4:(2xS3)", "4.2^4", "S4x2^2", "4.2^4:S4", 5712 "4^3:psl(3,2)", "4^3:S4", "5:4xa5", "5:4xA4", "5:4x2^2", "A4xC4", "D8xV4", 5713 "7:6", "2.HS", "Isoclinic(2.HSx2)", "2x(3^2.QD16)", "5^(1+2):(8.2)", 5714 "HSN2", "11:5", "HSM3", "U3(5).2", ], 5715 [ # fusions to HS.2 5716 "L3(4).2^2", "M22.2", "S8x2", "2^5.S6", "(2xA6.2^2).2", "2^(1+6)_+:S5", 5717 "4^3:(L3(2)x2)", "5:4xS5", "2.HS.2", "Isoclinic(2.HS.2)", "4.HS.2", "HS", 5718 "HS.2N5", ], 5719 [ # fusions to He 5720 "3.A7.2", "2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)", 5721 "NRS(M24,2^(2+2+4)b)", "[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b", 5722 "NRS(M24,[2^9]b)", "L3(2)xS3", "D8xL3(2)", "2^6:3.s6", "2^1+6.psl(3,2)", 5723 "2^2.psl(3,4).s3", "7:3xpsl(3,2)", "7^2:2psl(2,7)", "s4xpsl(3,2)", 5724 "(A5xD10).2", "hed3", "2^6:3^(1+2).D8", "3^(1+2):D8", "5^2:4A4", 5725 "7^(1+2):(S3x3)", "M24N2", "17:8", "S4(4).2", ], 5726 [ # fusions to He.2 5727 "NDG(He.2,3^2)", "2^2.L3(4).D12", "(7:3xHe):2", "2^(1+6)_+.L3(2).2", 5728 "S4xL3(2).2", "7:6xL3(2)", "3.s7x2", "s5wrs2", "2^(4+4).(S3xS3).2", 5729 "7^2:2.L2(7).2", "He", "7^(1+2):(S3x6)", "Fi22N5", "S4(4).4", ], 5730 [ # fusions to Ly 5731 "2.A11", "G2(5)", "(3xMcLN2).2", "37:18", "3^(2+4):2A5.D8", "3^5:M11", 5732 "5^(1+4):4S6", "5^3.psl(3,5)", "67:22", "LyM6", "5^(1+4):4.3^2:D8", 5733 "3.McL.2", "LyN2", "LyN3", "LyN5", ], 5734 [ # fusions to McL 5735 "2.A8", "2x7:3", "L3(4).2_2", "M11", "M22", "McLM3", "2^4:a7", "McLM10", 5736 "2^(1+3):L3(2)", "2^(2+4):(3x3):2", "2^(1+1+2+2):S3", "2^(2+4).S3", 5737 "3^(1+4):2S5", "3^4:m10", "3^4.3^2.Q8", "3.McL", "3^4:(3^2:Q8)", 5738 "5^(1+2):3:8", "McLN2", "11:5", "U4(3)", "U3(5)", ], 5739 [ # fusions to McL.2 5740 "Isoclinic(2.A8.2)", "McL.2N3", "L3(4).2^2", "2xM11", "2^(2+4).(S3x2)", 5741 "3^(1+4):4S5", "3^4:(M10x2)", "2^(2+4):(S3xS3)", "3.McL.2", "McL", 5742 "5^(1+2):(24:2)", "LyN2", "U4(3).2_3", "U3(5).2", ], 5743 [ # fusions to ON 5744 "A7", "J1", "NDG(ON,D8)", "L2(31)", "ONM8", "4_2.L3(4).2_1", "L3(7).2", 5745 "ONM2", "M11", "ONM11", "31:15", "4^3.L3(2)", "ONM5", "11:10", "19:6", 5746 "3.ON", "3^4:2^(1+4)D10", "4^3.D8", "7^(1+2):(D8x3)", ], 5747 [ # fusions to ON.2 5748 "A6.2_2", "4_2.L3(4).(2^2)_{12*3}", "L3(2).2", "31:30", "J1x2", 5749 "7^(1+2)_+:(3xD16)", "(3^2:4xA6).2^2", "4^3.(L3(2)x2)", "3.ON.2", "ON", 5750 "3^4:2^(1+4).(5:4)", ], 5751 [ # fusions to Ru 5752 "3.A6.2^2", "A6.2^2", "A8", "L2(13).2", "L2(25).2^2", "L2(29)", 5753 "(2^2xSz(8)):3", "2.2^4+6:S5", "2^3+8:L3(2)", "2^6:u3(3):2", "5:4xa5", 5754 "5^2:4s5", "29:14", "2^6:u3(3)", "2.Ru", "3^(1+2):SD16", "5^1+2:(2^5)", 5755 "RuN2", "(2^2xD14):3", "(2^2x13:4):3", "2F4(2)'", "2F4(2)'.2", "U3(5).2", ], 5756 [ # fusions to Suz 5757 "A7", "G2(4)", "J2.2", "L2(25)", "L3(3).2", "M12.2", "(3^2:4xa6).2", 5758 "(a4xpsl(3,4)):2", "(a6xa5).2", "2^1+6.u4q2", "2^2+8(a5xs3)", "2^4+6:3a6", 5759 "3^2+4:2(2^2xa4)2", "3^5:M11", "11:10", "13:6", "2.Suz", "3.Suz", "6.Suz", 5760 "3^5:(3^2:SD16)", "5^2:(4xS3)", "SuzN2", "3_2.U4(3).2_3'", "U5(2)", ], 5761 [ # fusions to Suz.2 5762 "A7.2", "G2(4).2", "L2(25).2_2", "2^(1+6)_-.U4(2).2", "3^5:(M11x2)", 5763 "J2.2x2", "2^(4+6):3S6", "(A4xL3(4):2_3):2", "2^(2+8):(S5xS3)", "M12.2x2", 5764 "3^(2+4):2(S4xD8)", "(A6:2_2xA5).2", "(3^2:8xA6).2", "2.Suz.2", 5765 "Isoclinic(2.Suz.2)", "3.Suz.2", "6.Suz.2", "Isoclinic(6.Suz.2)", "Suz", 5766 "3_2.U4(3).(2^2)_{133}", "U5(2).2", ], 5767 [ # fusions to Th 5768 "A5.2", "A6.2_3", "L2(19).2", "L3(3)", "(3xG2(3)):2", "2^1+8.a9", 5769 "2^5.psl(5,2)", "31:15", "3^5:2S6", "5^2:4s5", "7^2:(3x2S4)", "ThM7", 5770 "ThN3B", "19:18", "5^(1+2):4S4", "ThN2", "3D4(2).3", "U3(8).6", ], 5771 [ # fusions to (3^(1+2)x2).SD16 5772 ], 5773 [ # fusions to (2x3^(1+2)_+:8):2 5774 ], 5775 [ # fusions to 11+^(1+2):(5x2S4) 5776 ], 5777 [ # fusions to 2.HS.2N5 5778 "5^(1+2):8:4", ], 5779 [ # fusions to 2^3.7.3 5780 ], 5781 [ # fusions to 2^4:D8 5782 "4.M22N2", ], 5783 [ # fusions to 2x(3^2.QD16) 5784 "2.HSN3", ], 5785 [ # fusions to 3^(1+2):8 5786 ], 5787 [ # fusions to 3^(1+2):D8 5788 "2^6:3^(1+2).D8", ], 5789 [ # fusions to 3^(1+2):SD16 5790 "(3^(1+2):8xA6).2", "(2x3^(1+2)_+:8):2", ], 5791 [ # fusions to 3^2.3^(1+2):8 5792 "3^3.3^(1+2):8", ], 5793 [ # fusions to 3^2:Q8 5794 "3^2:4", "3^(1+2)_+:Q8", "(3^2:4xa6).2", "(3^2:4x2.A6).2", "ONM5", "suzdx", ], 5795 [ # fusions to 3^2:Q8.2 5796 "(3^2:8xA6).2", "(3^2:D8xU4(3).2^2).2", "s3wrs2", "3^2:Q8", "2.HSN3", ], 5797 [ # fusions to 3^4:(3^2:Q8) 5798 "3.3^4.3^2.Q8", ], 5799 [ # fusions to 3^4:2^(1+4)D10 5800 "3.ONM6", ], 5801 [ # fusions to 3^4:2^(1+4).(5:4) 5802 "3.ON.2N3", "3^4:2^(1+4)D10", ], 5803 [ # fusions to 3^5:(3^2:SD16) 5804 ], 5805 [ # fusions to 4^3.D8 5806 "3xONN2", ], 5807 [ # fusions to 5^(1+2):(24:2) 5808 "3.McL.2N5", "5^(1+2):3:8", ], 5809 [ # fusions to 5^(1+2):(8.2) 5810 "5^(1+2):8:4", ], 5811 [ # fusions to 5^(1+2):3:8 5812 "3x5^(1+2):3:8", ], 5813 [ # fusions to 5^(1+2):4S4 5814 ], 5815 [ # fusions to 5^1+2:(2^5) 5816 "5^(1+2):(4x4):4", ], 5817 [ # fusions to 5^2:(4xS3) 5818 "2.J2.2N5", "3x2.J2.2N5", ], 5819 [ # fusions to 5^2:4A4 5820 ], 5821 [ # fusions to 7^(1+2):(D8x3) 5822 "3xONN7", ], 5823 [ # fusions to 7^(1+2):(S3x3) 5824 ], 5825 [ # fusions to 7^(1+2):(S3x6) 5826 "7^(1+2):(S3x3)", ], 5827 [ # fusions to 7^2:(3x2A4) 5828 "2xCo1N7", ], 5829 [ # fusions to Co1N3 5830 ], 5831 [ # fusions to Co3N2 5832 ], 5833 [ # fusions to Co3N3 5834 ], 5835 [ # fusions to Fi22N3 5836 "3.Fi22N3", ], 5837 [ # fusions to Fi22N5 5838 "2xFi22N5", "5^2:4A4", "F3+N5", ], 5839 [ # fusions to HS.2N5 5840 "2.HS.2N5", "5^(1+2):(8.2)", ], 5841 [ # fusions to HSN2 5842 "2.HSN2", ], 5843 [ # fusions to J2N2 5844 ], 5845 [ # fusions to J3N2 5846 ], 5847 [ # fusions to LyN2 5848 "(3xMcLN2).2", "McLN2", ], 5849 [ # fusions to LyN3 5850 ], 5851 [ # fusions to LyN5 5852 ], 5853 [ # fusions to M11N2 5854 ], 5855 [ # fusions to M12N2 5856 ], 5857 [ # fusions to M12N3 5858 ], 5859 [ # fusions to M24N2 5860 ], 5861 [ # fusions to McLN2 5862 ], 5863 [ # fusions to RuN2 5864 "2.RuN2", ], 5865 [ # fusions to (2^2xD14):3 5866 ], 5867 [ # fusions to (2^2x13:4):3 5868 ], 5869 [ # fusions to SuzN2 5870 ], 5871 [ # fusions to ThN2 5872 ], 5873 [ # fusions to 2.HSN3 5874 ], 5875 [ # fusions to 5:4 5876 "D10", "(D10xU3(5)).2", "(D10x(A5xA5).2).2", "(2.A5xD10).2", "(A5xD10).2", 5877 "(D10xHN).2", "(3xD10).2", "(A4xD10).2", ], 5878 [ # fusions to 2x5:4 5879 "5:4x2^2", ], 5880 [ # fusions to 5:4x3 5881 ], 5882 [ # fusions to 11:5 5883 ], 5884 [ # fusions to 2x11:5 5885 ], 5886 [ # fusions to 17:8 5887 "(2x17).8", ], 5888 [ # fusions to 17:16 5889 ], 5890 [ # fusions to 19:9 5891 ], 5892 [ # fusions to (3xD10).2 5893 ], 5894 [ # fusions to 7:3xS3 5895 ], 5896 [ # fusions to S3x7:6 5897 ], 5898 [ # fusions to (A4xD10).2 5899 ], 5900 [ # fusions to Co2N2 5901 ], 5902 [ # fusions to 3^(1+4)_+:(S3xQD16) 5903 ], 5904 [ # fusions to Co2N7 5905 ], 5906 [ # fusions to Co1N5 5907 "2xCo1N5", ], 5908 [ # fusions to F3+N5 5909 "3.F3+N5", ], 5910 [ # fusions to S4x5^2:4S4 5911 "3.F3+.2N5", "F3+N5", ], 5912 [ # fusions to BN7 5913 ], 5914 [ # fusions to 11^2:(5x2.A5) 5915 ], 5916 [ # fusions to 13^(1+2):(3x4S4) 5917 ], 5918 [ # fusions to 13:4 5919 ], 5920 [ # fusions to 13:12 5921 "(13:6xL3(3)).2", "13:6", ], 5922 [ # fusions to 2^(3+3):7 5923 "2.2^(3+3):7", "2^2.2^(3+3):7", ], 5924 [ # fusions to 2^(3+3):7:3 5925 ], 5926 [ # fusions to 7:6xA5.2 5927 ], 5928 [ # fusions to HNN2 5929 ], 5930 [ # fusions to [7^6]:(6x6) 5931 ], 5932 [ # fusions to 2.S4(5) 5933 ], 5934 [ # fusions to 2.S4(5).2 5935 "2.S4(5)", ], 5936 [ # fusions to 2.S6(2) 5937 "Isoclinic(2.A8.2)", "L2(8):3x2", "2.(2^5:S6)", "2.(S3xS6)", "2.2^6.L3(2)", 5938 "2^2.[2^6].(S3xS3)", "2xU3(3).2", "2.U4(2).2", ], 5939 [ # fusions to 2.S6(3) 5940 ], 5941 [ # fusions to 2.S6(3).2 5942 "2.S6(3)", ], 5943 [ # fusions to S10(2) 5944 "L2(32).5", "O10+(2).2", "O10-(2).2", ], 5945 [ # fusions to S4(4) 5946 "A6.2_1", "L2(16).2", "S4(4)M4", "2^6:(3xA5)", "S4(4)M2", "a5wc2", 5947 "S4(4)M6", ], 5948 [ # fusions to S4(4).2 5949 "L2(16).4", "S4(4).2M5", "S6x2", "(A5xA5):2^2", "S4(4).2M7", 5950 "2^6:(3xA5):2", "S4(4).2M3", "S4(4)", ], 5951 [ # fusions to S4(4).4 5952 "(L3(2)xS4(4):2).2", "S4(4)", "S4(4).2", ], 5953 [ # fusions to S4(5) 5954 "A6", "P1/G1/L1/V1/ext2", "L2(25).2_2", "S5xS3", "5^(1+2)+:4A5", 5955 "5^3:(2xA5).2", "(2^2xA5):2", "h4", "2.S4(5)", ], 5956 [ # fusions to S4(5).2 5957 "2.S4(5).2", "S4(5)", ], 5958 [ # fusions to S6(2) 5959 "A8.2", "2^7:S6(2)", "L2(8).3", "2x2.S6(2)", "3x2.S6(2)", "2^1+8:s6f2", 5960 "2.[2^6]:(S3xS3)", "2^5:S6", "2^6:L3(2)", "S3xS6", "(2^6x2^8):S6(2)", 5961 "(2^(1+8)x2^6):S6(2)", "2^6:s6f2", "S8(2)M3", "2^8:S6(2)", "2.S6(2)", 5962 "U3(3).2", "U4(2).2", ], 5963 [ # fusions to S6(3) 5964 "A5", "L2(13)", "L2(27).3", "L3(3).2", "3^6:L3(3)", "3^(3+4):2(S4xA4)", 5965 "2.(A4xU4(2))", "2^(2+6):3^3:S3", "2xU3(3).2", "3^(1+4).2U4(2)", "2.S6(3)", ], 5966 [ # fusions to S6(3).2 5967 "L2(27).6", "3^(1+4).2U4(2).2", "2.S6(3).2", "S6(3)", ], 5968 [ # fusions to S8(2) 5969 "A10.2", "2^8:S8(2)", "L2(17)", "2^(9+16).S8(2)", "S8(2)M3", "2^10.A8", 5970 "(S6xS6):2", "2^(3+8):(S3xS6)", "S3xS6(2)", "2^(6+6):(S3xL3(2))", 5971 "O8+(2).2", "O8-(2).2", "S4(4).2", ], 5972 [ # fusions to F4(2)M4 5973 ], 5974 [ # fusions to S4(7) 5975 "7^(1+2).Sp(2,7)", ], 5976 [ # fusions to S4(8) 5977 ], 5978 [ # fusions to S4(7).2 5979 "S4(7)", ], 5980 [ # fusions to S4(9) 5981 ], 5982 [ # fusions to S4(9).2_1 5983 "S4(9)", ], 5984 [ # fusions to S4(9).2_2 5985 "S4(9)", ], 5986 [ # fusions to S4(9).2_3 5987 "S4(9)", ], 5988 [ # fusions to S4(9).2^2 5989 "S4(9).2_1", "S4(9).2_2", "S4(9).2_3", ], 5990 [ # fusions to S6(4) 5991 ], 5992 [ # fusions to S6(4).2 5993 "S6(4)", ], 5994 [ # fusions to S6(5) 5995 "J2", ], 5996 [ # fusions to S8(3) 5997 "2^6.U4(2)", ], 5998 [ # fusions to S12(2) 5999 "A14.2", "L2(25).2_2", "O12-(2).2", "O12+(2).2", ], 6000 [ # fusions to 2F4(2)' 6001 "2F4(2)'M7", "A6.2^2", "2F4(2)'N2", "L2(25)", "2F4(2)'M2", "L3(3)", 6002 "L3(3).2", "13:6", "2.2^8.f20", "2^2.2^8:s3", "5^2:4A4", ], 6003 [ # fusions to 2F4(2)'.2 6004 "2F4(2)'.2N2", "L2(25).2_3", "2.RuM1", "2.[2^9]:5:4", "2^2.[2^9]:S3", 6005 "3^(1+2):SD16", "Fi22N5", "13:12", "2F4(2)'", ], 6006 [ # fusions to 3D4(2) 6007 "S3xL2(8)", "3^2:2A4", "(7xL2(7)):2", "2^(1+8)+:L2(8)", "3^(1+2)+.2S4", 6008 "7^2:2A4", "13:4", "U3(3).2", ], 6009 [ # fusions to 3D4(2).3 6010 "3D4(2)", ], 6011 [ # fusions to 2.2E6(2) 6012 "2.F4(2)", "2.Fi22", "2xF4(2)", "2.2E6(2)M5", "2xFi22", "2.2E6(2)M9", 6013 "2^2.2E6(2)", "6.2E6(2)", "(2^2x3).2E6(2)", ], 6014 [ # fusions to 2.2E6(2).2 6015 "2.2E6(2)", "2^2.2E6(2).2", "6.2E6(2).2", "(2^2x3).2E6(2).2", ], 6016 [ # fusions to 2^2.2E6(2) 6017 "2x2.F4(2)", "2^2.2E6(2)M4", "2^2.2E6(2)M5", "2x2.Fi22", "2^2.2E6(2)M8", 6018 "2^2.2E6(2)M9", "(2^2x3).2E6(2)", ], 6019 [ # fusions to 2^2.2E6(2).2 6020 "2^2.2E6(2)", ], 6021 [ # fusions to 2^2.2E6(2).3 6022 "2^2.2E6(2)", ], 6023 [ # fusions to 2^2.2E6(2).3.2 6024 "2^2.2E6(2).2", "2^2.2E6(2).3", ], 6025 [ # fusions to 2E6(2) 6026 "F4(2)", "Fi22", "2E6(2)M4", "2E6(2)M5", "2E6(2)M8", "2E6(2)M9", "O10-(2)", 6027 "2.2E6(2)", "2^2.2E6(2)", "3.2E6(2)", "6.2E6(2)", "(2^2x3).2E6(2)", 6028 "U3(8).3_1", ], 6029 [ # fusions to 2E6(2).2 6030 "2.2E6(2).2", "2^2.2E6(2).2", "2E6(2)", "3.2E6(2).2", "U3(8).6", ], 6031 [ # fusions to 2E6(2).3 6032 "2^2.2E6(2).3", "2E6(2)", ], 6033 [ # fusions to 2E6(2).3.2 6034 "2^2.2E6(2).3.2", "2E6(2).2", "2E6(2).3", ], 6035 [ # fusions to 3.2E6(2) 6036 "3.Fi22", "3xF4(2)", "3.2E6(2)M4", "3.2E6(2)M5", "3.2E6(2)M8", 6037 "3.2E6(2)M9", "6.2E6(2)", "(2^2x3).2E6(2)", ], 6038 [ # fusions to 3.2E6(2).2 6039 "3.2E6(2)", ], 6040 [ # fusions to 6.2E6(2) 6041 "6.Fi22", "6xF4(2)", "3x2.F4(2)", "6.2E6(2)M5", "2x3.Fi22", "6.2E6(2)M9", 6042 "(2^2x3).2E6(2)", ], 6043 [ # fusions to 6.2E6(2).2 6044 "6.2E6(2)", ], 6045 [ # fusions to (2^2x3).2E6(2) 6046 "6x2.F4(2)", "(2^2x3).2E6(2)M4", "(2^2x3).2E6(2)M5", "2x6.Fi22", 6047 "(2^2x3).2E6(2)M8", "(2^2x3).2E6(2)M9", ], 6048 [ # fusions to (2^2x3).2E6(2).2 6049 "(2^2x3).2E6(2)", ], 6050 [ # fusions to 12_1.U4(3) 6051 "(3^2x4).U4(3)", ], 6052 [ # fusions to 12_1.U4(3).2_1 6053 "12_1.U4(3)", ], 6054 [ # fusions to 12_1.U4(3).2_2 6055 "12_1.U4(3)", ], 6056 [ # fusions to 12_2.U4(3) 6057 "(3^2x4).U4(3)", ], 6058 [ # fusions to 12_2.U4(3).2_1 6059 "12_2.U4(3)", ], 6060 [ # fusions to 12_2.U4(3).2_3 6061 "12_2.U4(3)", ], 6062 [ # fusions to 2.U4(3) 6063 "2x3^4:A6", "12_1.U4(3)", "12_2.U4(3)", "4.U4(3)", "6_1.U4(3)", 6064 "6_2.U4(3)", ], 6065 [ # fusions to 2.U4(3).2_1 6066 "12_1.U4(3).2_1", "12_2.U4(3).2_1", "2.U4(3)", "4.U4(3).2_1", 6067 "6_1.U4(3).2_1", "6_2.U4(3).2_1", ], 6068 [ # fusions to Isoclinic(2.U4(3).2_1) 6069 "3^6:2U4(3).2_1", "2.U4(3)", ], 6070 [ # fusions to 2.U4(3).2_2 6071 "2^2.U6(2)M5", "(2^2x3).U6(2)M5", "12_1.U4(3).2_2", "2.U4(3)", 6072 "4.U4(3).2_2", "6_1.U4(3).2_2", ], 6073 [ # fusions to Isoclinic(2.U4(3).2_2) 6074 "2.U4(3)", ], 6075 [ # fusions to 2.U4(3).2_2' 6076 "2.U4(3)", "6_1.U4(3).2_2'", ], 6077 [ # fusions to Isoclinic(2.U4(3).2_2') 6078 "2.U4(3)", ], 6079 [ # fusions to 2.U4(3).2_3 6080 "12_2.U4(3).2_3", "2.U4(3)", "4.U4(3).2_3", "6_2.U4(3).2_3", 6081 "(3^2x2).U4(3).2_3'", ], 6082 [ # fusions to Isoclinic(2.U4(3).2_3) 6083 "2.U4(3)", ], 6084 [ # fusions to 2.U4(3).2_3' 6085 "2.U4(3)", "6_2.U4(3).2_3'", ], 6086 [ # fusions to Isoclinic(2.U4(3).2_3') 6087 "2.U4(3)", ], 6088 [ # fusions to 2.U4(3).4 6089 "2.U4(3)", "2.U4(3).2_1", "4.U4(3).4", ], 6090 [ # fusions to 2.U4(3).(2^2)_{122} 6091 "2.U4(3).2_1", "2.U4(3).2_2", "2.U4(3).2_2'", ], 6092 [ # fusions to 2.U4(3).(2^2)_{1*22} 6093 "Isoclinic(2.U4(3).2_1)", "2.U4(3).2_2", "2.U4(3).2_2'", ], 6094 [ # fusions to 2.U4(3).(2^2)_{12*2} 6095 "2.U4(3).2_1", "Isoclinic(2.U4(3).2_2)", "2.U4(3).2_2'", ], 6096 [ # fusions to 2.U4(3).(2^2)_{1*2*2} 6097 "Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_2)", "2.U4(3).2_2'", ], 6098 [ # fusions to 2.U4(3).(2^2)_{12*2*} 6099 "2.U4(3).2_1", "Isoclinic(2.U4(3).2_2)", "Isoclinic(2.U4(3).2_2')", ], 6100 [ # fusions to 2.U4(3).(2^2)_{1*2*2*} 6101 "Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_2)", 6102 "Isoclinic(2.U4(3).2_2')", ], 6103 [ # fusions to 2.U4(3).(2^2)_{133} 6104 "2.U4(3).2_1", "2.U4(3).2_3", "2.U4(3).2_3'", ], 6105 [ # fusions to 2.U4(3).(2^2)_{1*33} 6106 "Isoclinic(2.U4(3).2_1)", "2.U4(3).2_3", "2.U4(3).2_3'", ], 6107 [ # fusions to 2.U4(3).(2^2)_{13*3} 6108 "2.U4(3).2_1", "Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", ], 6109 [ # fusions to 2.U4(3).(2^2)_{1*3*3} 6110 "Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", ], 6111 [ # fusions to 2.U4(3).(2^2)_{13*3*} 6112 "2.U4(3).2_1", "Isoclinic(2.U4(3).2_3)", "Isoclinic(2.U4(3).2_3')", ], 6113 [ # fusions to 2.U4(3).(2^2)_{1*3*3*} 6114 "Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_3)", 6115 "Isoclinic(2.U4(3).2_3')", ], 6116 [ # fusions to 2.U4(3).D8 6117 "2.U4(3).4", "2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{133}", ], 6118 [ # fusions to O8+(3)M16 6119 ], 6120 [ # fusions to O8+(3)M17 6121 ], 6122 [ # fusions to 3^2.U4(3) 6123 "3^2.(3^4:A6)", "3^2.(3^(1+4)_+.2S4)", "(3^2x2).U4(3)", ], 6124 [ # fusions to 3^2.U4(3).2_3' 6125 "3^2.U4(3)", "(3^2x2).U4(3).2_3'", "Isoclinic((3^2x2).U4(3).2_3')", ], 6126 [ # fusions to 3^2.U4(3).(2^2)_{133} 6127 "3^2.U4(3)", "3^2.U4(3).2_3'", ], 6128 [ # fusions to 3^2.U4(3).D8 6129 "(3^2x2).U4(3).D8", "3^2.U4(3)", ], 6130 [ # fusions to 3_1.U4(3) 6131 "12_1.U4(3)", "3^2.U4(3)", "6_1.U4(3)", ], 6132 [ # fusions to 3_1.U4(3).2_1 6133 "12_1.U4(3).2_1", "3_1.U4(3)", "6_1.U4(3).2_1", ], 6134 [ # fusions to 3_1.U4(3).2_2 6135 "2x6_1.U4(3).2_2", "12_1.U4(3).2_2", "3_1.U4(3)", "6_1.U4(3).2_2", ], 6136 [ # fusions to 3_1.U4(3).2_2' 6137 "2^12.3_1.U4(3).2_2'", "2^(1+12).3_1.U4(3).2_2'", "3_1.U4(3)", 6138 "6_1.U4(3).2_2'", ], 6139 [ # fusions to 3_1.U4(3).(2^2)_{122} 6140 "2^(1+12)_+.3_1.U4(3).2^2_{122}", "3_1.U4(3).2_1", "3_1.U4(3).2_2", 6141 "3_1.U4(3).2_2'", ], 6142 [ # fusions to 3_2.U4(3) 6143 "12_2.U4(3)", "3^2.U4(3)", "6_2.U4(3)", "(3^2x2).U4(3)", ], 6144 [ # fusions to 3_2.U4(3).2_1 6145 "12_2.U4(3).2_1", "3_2.U4(3)", "6_2.U4(3).2_1", ], 6146 [ # fusions to 3_2.U4(3).2_3 6147 "12_2.U4(3).2_3", "3_2.U4(3)", "6_2.U4(3).2_3", ], 6148 [ # fusions to 3_2.U4(3).2_3' 6149 "3^2.U4(3).2_3'", "3_2.U4(3)", "6_2.U4(3).2_3'", 6150 "Isoclinic(6_2.U4(3).2_3')", "(3^2x2).U4(3).2_3'", ], 6151 [ # fusions to 3_2.U4(3).(2^2)_{133} 6152 "3^2.U4(3).(2^2)_{133}", "3_2.U4(3).2_1", "3_2.U4(3).2_3", 6153 "3_2.U4(3).2_3'", ], 6154 [ # fusions to 4.U4(3) 6155 "2.(2x3^4:A6)", "4.3^(1+4)_+.2S4", "12_1.U4(3)", "12_2.U4(3)", ], 6156 [ # fusions to 4.U4(3).2_1 6157 "12_1.U4(3).2_1", "12_2.U4(3).2_1", "4.U4(3)", ], 6158 [ # fusions to 4.U4(3).2_2 6159 "12_1.U4(3).2_2", "4.U4(3)", ], 6160 [ # fusions to 4.U4(3).2_3 6161 "4_2.L3(4).2_3", "12_2.U4(3).2_3", "4.U4(3)", ], 6162 [ # fusions to 4.U4(3).4 6163 "4.U4(3)", "4.U4(3).2_1", ], 6164 [ # fusions to 6_1.U4(3) 6165 "12_1.U4(3)", "(3^2x2).U4(3)", ], 6166 [ # fusions to 6_1.U4(3).2_1 6167 "12_1.U4(3).2_1", "6_1.U4(3)", ], 6168 [ # fusions to 6_1.U4(3).2_2 6169 "(2^2x3).U6(2)M5", "12_1.U4(3).2_2", "6_1.U4(3)", ], 6170 [ # fusions to 6_1.U4(3).2_2' 6171 "6_1.U4(3)", ], 6172 [ # fusions to 6_2.U4(3) 6173 "12_2.U4(3)", "(3^2x2).U4(3)", "(3^2x4).U4(3)", ], 6174 [ # fusions to 6_2.U4(3).2_1 6175 "12_2.U4(3).2_1", "6_2.U4(3)", ], 6176 [ # fusions to 6_2.U4(3).2_3 6177 "12_2.U4(3).2_3", "6_2.U4(3)", ], 6178 [ # fusions to 6_2.U4(3).2_3' 6179 "6_2.U4(3)", "(3^2x2).U4(3).2_3'", ], 6180 [ # fusions to Isoclinic(6_2.U4(3).2_3') 6181 "Isoclinic((3^2x2).U4(3).2_3')", ], 6182 [ # fusions to U4(3) 6183 "A6.2_3", "A7", "L3(4)", "3^(1+4)_+.2S4", "2(A4xA4).2^2", "U4(3)M3", 6184 "U4(3)M9", "U4(3)M12", "2^4:a6", "3^4:A6", "12_1.U4(3)", "12_2.U4(3)", 6185 "2.U4(3)", "3^2.U4(3)", "3_1.U4(3)", "3_2.U4(3)", "4.U4(3)", "6_1.U4(3)", 6186 "6_2.U4(3)", "U3(3)", "U4(2)", ], 6187 [ # fusions to U4(3).(2^2)_{122} 6188 "2^2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{1*22}", 6189 "2.U4(3).(2^2)_{12*2}", "2.U4(3).(2^2)_{1*2*2}", "2.U4(3).(2^2)_{12*2*}", 6190 "2.U4(3).(2^2)_{1*2*2*}", "O8+(3)M16", "O8+(3)M17", 6191 "3_1.U4(3).(2^2)_{122}", "U4(3).2_1", "U4(3).2_2", "U4(3).2_2'", ], 6192 [ # fusions to U4(3).(2^2)_{133} 6193 "L3(4).2^2", "U4(3).(2^2)_{133}M6", "(4^2x2)(2xS4)", "2(A4xA4).4.2^2", 6194 "3^(1+4)+.2^(1+4)-.S3", "2xa6.2^2", "U4(3).(2^2)_{133}M11", 6195 "U4(3).(2^2)_{133}M12", "3^4:(M10x2)", "2xU3(3).2", "2.U4(3).(2^2)_{133}", 6196 "2.U4(3).(2^2)_{1*33}", "2.U4(3).(2^2)_{13*3}", "2.U4(3).(2^2)_{1*3*3}", 6197 "2.U4(3).(2^2)_{13*3*}", "2.U4(3).(2^2)_{1*3*3*}", "3^2.U4(3).(2^2)_{133}", 6198 "3_2.U4(3).(2^2)_{133}", "U4(3).2_1", "U4(3).2_3", "U4(3).2_3'", ], 6199 [ # fusions to U4(3).2_1 6200 "A6.2^2", "L3(4).2_2", "3^(1+4)+.4S4", "3^4:(2xA6)", "4(A4xA4).4", 6201 "2^4.s6", "U4(3).2_1M10", "2xU3(3)", "12_1.U4(3).2_1", "12_2.U4(3).2_1", 6202 "2.U4(3).2_1", "3_1.U4(3).2_1", "3_2.U4(3).2_1", "4.U4(3).2_1", 6203 "6_1.U4(3).2_1", "6_2.U4(3).2_1", "U4(3)", "U4(2).2", "U4(3).2_1M4", ], 6204 [ # fusions to U4(3).2_2 6205 "2x6_1.U4(3).2_2", "2x2.U4(3).2_2", "2x3_1.U4(3).2_2", "12_1.U4(3).2_2", 6206 "2.U4(3).2_2", "3_1.U4(3).2_2", "4.U4(3).2_2", "6_1.U4(3).2_2", "U4(3)", ], 6207 [ # fusions to U4(3).2_2' 6208 "2.U4(3).2_2'", "3_1.U4(3).2_2'", "6_1.U4(3).2_2'", "U4(3)", ], 6209 [ # fusions to U4(3).2_3 6210 "A6.2^2", "U4(3).2_3M10", "L3(4).2_1", "L3(4).2_3", "M10x2", "(4^2x2)S4", 6211 "2(A4xA4).4.2", "3^4:m10", "3^(1+4):4S4", "12_2.U4(3).2_3", "2.U4(3).2_3", 6212 "3_2.U4(3).2_3", "4.U4(3).2_3", "6_2.U4(3).2_3", "U4(3)", "U3(3).2", ], 6213 [ # fusions to U4(3).2_3' 6214 "2.U4(3).2_3'", "3^2.U4(3).2_3'", "3_2.U4(3).2_3'", "6_2.U4(3).2_3'", 6215 "U4(3)", ], 6216 [ # fusions to U4(3).4 6217 "2.U4(3).4", "4.U4(3).4", "U4(3)", "U4(3).2_1", ], 6218 [ # fusions to U4(3).D8 6219 "(3^2:D8xU4(3).2^2).2", "3^2.U4(3).D8", "U4(3).(2^2)_{122}", 6220 "U4(3).(2^2)_{133}", "U4(3).2_1", "U4(3).2_2", "U4(3).2_3", "U4(3).4", ], 6221 [ # fusions to (3^2x2).U4(3) 6222 "(3^2x4).U4(3)", ], 6223 [ # fusions to (3^2x4).U4(3) 6224 ], 6225 [ # fusions to (3^2x2).U4(3).2_3' 6226 ], 6227 [ # fusions to Isoclinic((3^2x2).U4(3).2_3') 6228 ], 6229 [ # fusions to 3.U3(5) 6230 "3.A6.2_3", "3.A7", "3x2S5", "3.U3(5)M2", "3.U3(5)M3", "3x5^(1+2)_+:8", 6231 "3.U3(5)M6", "3.U3(5)M7", ], 6232 [ # fusions to 3.U3(5).2 6233 "3.U3(5)", ], 6234 [ # fusions to 3.U3(5).3 6235 "3.U3(5)", ], 6236 [ # fusions to 3.U3(5).S3 6237 "3.U3(5).2", "3.U3(5).3", ], 6238 [ # fusions to 3.U3(8) 6239 ], 6240 [ # fusions to 3.U3(8).2 6241 "3.U3(8)", ], 6242 [ # fusions to 3.U3(8).3_1 6243 "3.U3(8)", ], 6244 [ # fusions to 3.U3(8).3_2 6245 "3.U3(8)", ], 6246 [ # fusions to 3.U3(8).6 6247 "3.U3(8)", "3.U3(8).2", "3.U3(8).3_1", ], 6248 [ # fusions to 3.U3(8).S3 6249 "3.U3(8).2", "3.U3(8).3_2", ], 6250 [ # fusions to HSM3 6251 "2.HSM3", ], 6252 [ # fusions to U3(3) 6253 "P49/G1/L1/V1/ext2", "P49/G1/L1/V1/ext3", "P49/G1/L1/V2/ext3", "7:3", 6254 "L3(2)", "2^6:u3(3)", "4.s4", "4^2:s3", "M12C4", "3^(1+2):8", ], 6255 [ # fusions to U3(3).2 6256 "L3(2).2", "Isoclinic(2xU3(3).2)", "4^2:D12", "2.2^6:u3(3):2", 6257 "2^6:u3(3):2", "(A6xU3(3)):2", "2^2.(U3(3).2xS4)", "2^(1+4).S3", 6258 "3^(1+2):SD16", "U3(3)", ], 6259 [ # fusions to G2(3)M2 6260 "3.G2(3)M2", ], 6261 [ # fusions to U3(4) 6262 "13:3", "5xA5", "2^(2+4):15", "5^2:S3", ], 6263 [ # fusions to U3(4).2 6264 "2^(2+4):(3xD10)", "Isoclinic(2xU3(4).2)", "13:6", "5^2:D12", "a5xd10", 6265 "U3(4)", ], 6266 [ # fusions to U3(4).4 6267 "U3(4)", "U3(4).2", ], 6268 [ # fusions to U3(5) 6269 "2.A5.2", "A6.2_3", "A7", "5^(1+2)+:8", "U3(5)M2", "U3(5)M3", "U3(5)M6", 6270 "U3(5)M7", "3.U3(5)", ], 6271 [ # fusions to U3(5).2 6272 "A6.2^2", "A7.2", "L3(2).2", "2S5.2", "(D10xU3(5)).2", 6273 "Isoclinic(U3(5).2x2)", "5^(1+2):(8.2)", "3.U3(5).2", "U3(5)", ], 6274 [ # fusions to U3(5).3 6275 "3x2S5", "7:3x3", "3^2:2A4", "5^(1+2)+:24", "6^2:S3", "3.U3(5).3", "U3(5)", ], 6276 [ # fusions to U3(5).3.2 6277 "(5^2:[2^4]xU3(5)).S3", "(3x2S5).2", "(7:3x3):2", "6^2:D12", "3^2.2.S4", 6278 "5^(1+2):(24:2)", "3.U3(5).S3", "U3(5)", "U3(5).2", "U3(5).3", ], 6279 [ # fusions to U3(7) 6280 "L3(2).2", "43:3", "2(L2(7)x4).2", "7^(1+2):48", "8^2:S3", ], 6281 [ # fusions to U3(7).2 6282 "U3(7)", ], 6283 [ # fusions to U3(8) 6284 "19:3", "3xL2(8)", "3^2:2A4", "U3(8)M4", "U3(8)M5", "(9x3).S3", 6285 "2^(3+6):21", "3.U3(8)", ], 6286 [ # fusions to U3(8).2 6287 "3.U3(8).2", "U3(8)", ], 6288 [ # fusions to U3(8).3_1 6289 "3.U3(8).3_1", "U3(8)", ], 6290 [ # fusions to U3(8).3_2 6291 "3.U3(8).3_2", "U3(8)", ], 6292 [ # fusions to U3(8).3_3 6293 "U3(8)", ], 6294 [ # fusions to U3(8).6 6295 "(A5xU3(8):3):2", "3.U3(8).6", "U3(8)", "U3(8).2", "U3(8).3_1", ], 6296 [ # fusions to U3(8).S3 6297 "3.U3(8).S3", "U3(8).2", "U3(8).3_2", ], 6298 [ # fusions to U3(9) 6299 "A6.2_2", "73:3", "5xIsoclinic(2.A6.2_2)", "10^2:S3", "3^(2+4):80", ], 6300 [ # fusions to U3(9).2 6301 "U3(9)", ], 6302 [ # fusions to U3(9).4 6303 "U3(9)", "U3(9).2", ], 6304 [ # fusions to 2.U4(2) 6305 "2.A6.2_1", "2.(2^4:A5)", "2x3^(1+2)+:2A4", "(2x3^3).S4`", 6306 "2.(2.(A4xA4).2)", "3^(1+4).2U4(2)", "3^4.2U4(2)", ], 6307 [ # fusions to 2.U4(2).2 6308 "2.(2.(A4xA4).2.2)", "2x3^(1+2)_+:2S4", "2.(3^3:(S4x2))", "2.(S6x2)", 6309 "esp43t", "twd5a", "3^(1+4).2U4(2).2", "3^4.2U4(2).2", "2.U4(2)", ], 6310 [ # fusions to 3.U3(11) 6311 ], 6312 [ # fusions to 3.U3(11).2 6313 "3.U3(11)", ], 6314 [ # fusions to 3.U3(11).3 6315 "3.U3(11)", ], 6316 [ # fusions to 3.U3(11).S3 6317 "3.U3(11).2", "3.U3(11).3", ], 6318 [ # fusions to U3(11) 6319 "A6", "L2(11).2", "U3(11)M4", "U3(11)M5", "37:3", "(4^2x3):S3", 6320 "11^(1+2)+:40", "2(L2(11)x2).2", "3^2:Q8", "3.U3(11)", ], 6321 [ # fusions to U3(11).2 6322 "3.U3(11).2", "U3(11)", ], 6323 [ # fusions to U3(11).3 6324 "3.U3(11).3", "U3(11)", ], 6325 [ # fusions to U3(11).S3 6326 "3.U3(11).S3", "U3(11).2", "U3(11).3", ], 6327 [ # fusions to U4(2) 6328 "A6.2_1", "3^5:U4(2)", "P1/G1/L1/V1/ext2", "P50/G1/L1/V1/ext2", 6329 "P50/G1/L1/V1/ext3", "P50/G1/L1/V1/ext4", "3^(1+2)+:2A4", "3^3:S4`", 6330 "2^1+6.u4q2", "2.SuzM4", "2^6.U4(2)", "3^5.U4(2)", "3.3^5.U4(2)", 6331 "C9Y3.3^5.U4(2)", "b33141", "2.(A4xA4)", "2^6:U4(2)", "3^3:A4", "2.U4(2)", ], 6332 [ # fusions to U4(2).2 6333 "S6x2", "3^(1+2)+:2S4", "3^5:U4(2):2", "2^6.U4(2).2", "2^(1+6)_-.U4(2).2", 6334 "(2x2^(1+8)):U4(2):2", "(2x2^(1+8)):(U4(2):2x2)", "(A4xU4(2)):2", "mo62", 6335 "s3wrs3", "w(f4)", "3^3.S4", "2^6:U4(2).2", "2.U4(2).2", "U4(2)", ], 6336 [ # fusions to U4(3).2_1M4 6337 ], 6338 [ # fusions to U5(2) 6339 "L2(11)", "3xU4(2)", "S3x3^(1+2)+:2A4", "2^{1+6}:3^{1+2}:2A4", 6340 "2^(4+4):(3xA5)", "3^4:S5", ], 6341 [ # fusions to U5(2).2 6342 "3^(1+10):U5(2):2", "(3xU5(2)).2", "(3xA6).2_1", "2^(1+6)_-3.3.3^2:2", 6343 "3^3.S4", "3^4:(2xA5)", "U5(2)", ], 6344 [ # fusions to 2.U6(2) 6345 "2.L3(4).2_1", "2.M22", "2.2^(1+8)_+:U4(2)", "2.U6(2)M6", 6346 "2.2^(4+8):(S3xA5)", "2.U6(2)M9", "2.U6(2)M10", "2xM22", "2.U6(2)M13", 6347 "2xS3xU4(2)", "2.(3^(1+4).[2^7.3])", "2xU5(2)", "2xU4(3).2_2", "2.U6(2)M3", 6348 "2xS6(2)", "2.U4(3).2_2", "2^2.U6(2)", "6.U6(2)", "(2^2x3).U6(2)", ], 6349 [ # fusions to 2.U6(2).2 6350 "2.L3(4).(2^2)_{123}", "2.U6(2)", "2^2.U6(2).2", "6.U6(2).2", 6351 "(2^2x3).U6(2).2", ], 6352 [ # fusions to 2^2.U6(2) 6353 "2^2xU5(2)", "2^2.2^(1+8)_+:U4(2)", "2^2.U6(2)M5", "2^2.U6(2)M6", 6354 "2^2.2^(4+8):(S3xA5)", "2^2xS6(2)", "2^2.U6(2)M9", "2^2.U6(2)M10", 6355 "2x2.M22", "2^2.U6(2)M12", "2^2.U6(2)M13", "2^2xS3xU4(2)", "2x2.U4(3).2_2", 6356 "2^2.U6(2)M3", "(2^2x3).U6(2)", ], 6357 [ # fusions to 2^2.U6(2).2 6358 "D8xS6(2)", "2^2.U6(2)", "(2^2x3).U6(2).2", ], 6359 [ # fusions to 2^2.U6(2).3 6360 "2^2.U6(2)", "(2^2x3).U6(2).3", ], 6361 [ # fusions to 2^2.U6(2).3.2 6362 "2^2.U6(2).2", "2^2.U6(2).3", ], 6363 [ # fusions to 3.U6(2) 6364 "3.L3(4).2_1", "3.M22", "3x2^(1+8)_+:U4(2)", "3.U6(2)M5", "3.U6(2)M6", 6365 "3x2^(4+8):(S3xA5)", "3xS6(2)", "3.U6(2)M9", "3.U6(2)M10", "3.U6(2)M12", 6366 "3.U6(2)M13", "3xS3xU4(2)", "3.(3^(1+4).[2^7.3])", "3xU5(2)", "3.U6(2)M3", 6367 "3_1.U4(3).2_2", "6.U6(2)", "(2^2x3).U6(2)", ], 6368 [ # fusions to 3.U6(2).2 6369 "3.U6(2)", "6.U6(2).2", "(2^2x3).U6(2).2", ], 6370 [ # fusions to 3.U6(2).3 6371 "3.U6(2)", "(2^2x3).U6(2).3", ], 6372 [ # fusions to 6.U6(2) 6373 "6.L3(4).2_1", "6.M22", "3x2.2^(1+8)_+:U4(2)", "6.U6(2)M6", 6374 "3x2.2^(4+8):(S3xA5)", "6xS6(2)", "6.U6(2)M9", "6.U6(2)M10", "2x3.M22", 6375 "6.U6(2)M13", "6xS3xU4(2)", "6.(3^(1+4).[2^7.3])", "2x3_1.U4(3).2_2", 6376 "6.U6(2)M3", "6xU5(2)", "6_1.U4(3).2_2", "(2^2x3).U6(2)", ], 6377 [ # fusions to 6.U6(2).2 6378 "6.L3(4).(2^2)_{123}", "6.U6(2)", "(2^2x3).U6(2).2", ], 6379 [ # fusions to U6(2) 6380 "L3(4).2_1", "M22", "2^(1+8)_+:U4(2)", "U6(2)M5", "U6(2)M6", "U6(2)M9", 6381 "U6(2)M10", "U6(2)M12", "U6(2)M13", "3^(1+4).2^(1+1+2+2).S3", "S3xU4(2)", 6382 "2^(4+8):(S3xA5)", "2^9.L3(4)", "S6(2)", "U4(3).2_2", "U5(2)", "2.U6(2)", 6383 "2^2.U6(2)", "3.U6(2)", "6.U6(2)", "(2^2x3).U6(2)", ], 6384 [ # fusions to U6(2).2 6385 "M22.2", "U5(2).2", "2.U6(2).2", "2^2.U6(2).2", "3.U6(2).2", "6.U6(2).2", 6386 "U6(2)", "(2^2x3).U6(2).2", ], 6387 [ # fusions to U6(2).3 6388 "2^2.U6(2).3", "3.U6(2).3", "U6(2)", "(2^2x3).U6(2).3", ], 6389 [ # fusions to U6(2).3.2 6390 "2^2.U6(2).3.2", "U6(2).2", "U6(2).3", "3.U6(2).3.2", ], 6391 [ # fusions to 3.U6(2).3.2 6392 "3.U6(2).2", "3.U6(2).3", ], 6393 [ # fusions to (2^2x3).U6(2) 6394 "2^2x3xU5(2)", "3x2^2.2^(1+8)_+:U4(2)", "2x6_1.U4(3).2_2", 6395 "(2^2x3).U6(2)M5", "(2^2x3).U6(2)M6", "3x2^2.2^(4+8):(S3xA5)", 6396 "2^2x3xS6(2)", "(2^2x3).U6(2)M9", "(2^2x3).U6(2)M10", "2x6.M22", 6397 "(2^2x3).U6(2)M12", "(2^2x3).U6(2)M13", "2^2x3xS3xU4(2)", 6398 "(2^2x3).U6(2)M3", ], 6399 [ # fusions to (2^2x3).U6(2).2 6400 "(2^2x3).U6(2)", ], 6401 [ # fusions to (2^2x3).U6(2).3 6402 "(2^2x3).U6(2)", ], 6403 [ # fusions to U4(4) 6404 "S4(4)", ], 6405 [ # fusions to U4(4).4 6406 "U4(4)", ], 6407 [ # fusions to U4(5) 6408 "S4(5).2", ], 6409 [ # fusions to U4(5).2_1 6410 "U4(5)", ], 6411 [ # fusions to U4(5).2_2 6412 "U4(5)", ], 6413 [ # fusions to U4(5).2_3 6414 "U4(5)", ], 6415 [ # fusions to U4(5).2^2 6416 "U4(5)", "U4(5).2_1", "U4(5).2_2", "U4(5).2_3", ], 6417 [ # fusions to U5(4) 6418 "U4(4)", ], 6419 [ # fusions to U5(4).2 6420 "U5(4)", ], 6421 [ # fusions to U5(3) 6422 ], 6423 [ # fusions to U7(2) 6424 ], 6425 [ # fusions to U6(4) 6426 ], 6427 ]; 6428MakeImmutable( LIBLIST.fusionsource ); 6429 6430LIBLIST.names := [ 6431 ["(13:6xL3(3)).2","(13:6xl3(3)).2","mm35"], 6432 ["(2.A4x3).2","(2.a4x3).2","2.a7m5"], 6433 ["(2.A5x3).2","(2.a5x3).2","2.a8m6"], 6434 ["(2.A5xD10).2","(2.a5xd10).2","2.j2.2m7"], 6435 ["(2.A6x3).2_1","(2.a6x3).2_1","2.a9m3"], 6436 ["(2.A7x3).2","(2.a7x3).2","2.a10m3"], 6437 ["(2.A8x3).2","(2.a8x3).2","2.a11m3"], 6438 ["(2.A9x3).2","(2.a9x3).2","2.a12m3"], 6439 ["(2^(1+8)x2^6):S6(2)","(2^(1+8)x2^6):s6(2)","f4(2)c2a","f4(2)m1","f4(2)n2a" 6440 ], 6441 ["(2^2x13:4):3","(2^2x13:4):3","run13"], 6442 ["(2^2x2^(1+8)).(3xU4(2)).2","(2^2x2^(1+8)).(3xu4(2)).2","fi23c2c","fi23m10", 6443 "fi23n2c"], 6444 ["(2^2x3).(3^(1+4).[2^7.3])","(2^2x3).(3^(1+4).[2^7.3])","(2^2x3).u6(2)m15" 6445 ], 6446 ["(2^2x3).2","(2^2x3).2"], 6447 ["(2^2x3).2E6(2)","(2^2x3).2e6(2)"], 6448 ["(2^2x3).2E6(2).2","(2^2x3).2e6(2).2"], 6449 ["(2^2x3).2E6(2)M4","(2^2x3).2e6(2)m4"], 6450 ["(2^2x3).2E6(2)M5","(2^2x3).2e6(2)m5"], 6451 ["(2^2x3).2E6(2)M8","(2^2x3).2e6(2)m8"], 6452 ["(2^2x3).2E6(2)M9","(2^2x3).2e6(2)m9"], 6453 ["(2^2x3).L3(4)","(2^2x3).l3(4)"], 6454 ["(2^2x3).L3(4).2_1","(2^2x3).l3(4).2_1"], 6455 ["(2^2x3).L3(4).2_2","(2^2x3).l3(4).2_2"], 6456 ["(2^2x3).L3(4).2_3","(2^2x3).l3(4).2_3"], 6457 ["(2^2x3).L3(4).3","(2^2x3).l3(4).3"], 6458 ["(2^2x3).U6(2)","(2^2x3).u6(2)"], 6459 ["(2^2x3).U6(2).2","(2^2x3).u6(2).2"], 6460 ["(2^2x3).U6(2).3","(2^2x3).u6(2).3"], 6461 ["(2^2x3).U6(2)M10","(2^2x3).u6(2)m10"], 6462 ["(2^2x3).U6(2)M12","(2^2x3).u6(2)m12"], 6463 ["(2^2x3).U6(2)M13","(2^2x3).u6(2)m13"], 6464 ["(2^2x3).U6(2)M3","(2^2x3).u6(2)m3"], 6465 ["(2^2x3).U6(2)M5","(2^2x3).u6(2)m5"], 6466 ["(2^2x3).U6(2)M6","(2^2x3).u6(2)m6"], 6467 ["(2^2x3).U6(2)M9","(2^2x3).u6(2)m9"], 6468 ["(2^2x3^4).2^3.S4","(2^2x3^4).2^3.s4","2^2.o8+(2)m14"], 6469 ["(2^2xA5):2","(2^2xa5):2","m12.2c2a","m12.2m4","m12.2n2a","s4(5)c2b", 6470 "s4(5)m7","s4(5)n2b"], 6471 ["(2^2xD14):3","(2^2xd14):3","run7"], 6472 ["(2^2xF4(2)):2","(2^2xf4(2)):2","bm6"], 6473 ["(2^2xSz(8)):3","(2^2xsz(8)):3","rum3"], 6474 ["(2^2xU4(2)):2","(2^2xu4(2)):2","o7(3)m12"], 6475 ["(2^6x2^8):S6(2)","(2^6x2^8):s6(2)"], 6476 ["(2x12).L3(4)","(2x12).l3(4)"], 6477 ["(2x13).6","(2x13).6","2.l2(13)m1"], 6478 ["(2x17).8","(2x17).8","2.l2(17)m1"], 6479 ["(2x2.(A5xA5)):2^2","(2x2.(a5xa5)):2^2","2^2.o8+(2)m15"], 6480 ["(2x29).14","(2x29).14","2.l2(29)m1"], 6481 ["(2x2^(1+6)_+).A8","(2x2^(1+6)_+).a8","2^2.o8+(2)m4"], 6482 ["(2x2^(1+8)):(U4(2):2x2)","(2x2^(1+8)):(u4(2):2x2)","fi22.2c2b","fi22.2m6", 6483 "fi22.2n2b"], 6484 ["(2x2^(1+8)):U4(2):2","(2x2^(1+8)):u4(2):2","fi22c2b","fi22m7","fi22n2b"], 6485 ["(2x3.A6).2","(2x3.a6).2","2.j2m2"], 6486 ["(2x3^(1+2)_+:8):2","(2x3^(1+2)_+:8):2","2.run3","6.l3(4).2_2m6", 6487 "6.l3(4).2_2n3","j4n3"], 6488 ["(2x3^3).S4","(2x3^3).s4","2.a9m7"], 6489 ["(2x3^3).S4`","(2x3^3).s4`","2.u4(2)m4"], 6490 ["(2x3^4:2^3).S4","(2x3^4:2^3).s4","2.o8+(2)m14"], 6491 ["(2x3^5).U4(2).2","(2x3^5).u4(2).2","2.o7(3)m2"], 6492 ["(2x4).L3(4)","(2x4).l3(4)"], 6493 ["(2x5^2).12","(2x5^2).12","2.l2(25)m1"], 6494 ["(2xA6).2^2","(2xa6).2^2","2.m22.2m6"], 6495 ["(2xA6).2_3","(2xa6).2_3","2.m22m7"], 6496 ["(2xA6.2^2).2","(2xa6.2^2).2","hs.2m8"], 6497 ["(2xL3(2)).2","(2xl3(2)).2","2.j2m7"], 6498 ["(2xL3(3)).2","(2xl3(3)).2","2.suzm14","2.suzm15"], 6499 ["(3.A6.2_2xA5):2","(3.a6.2_2xa5):2","3.suz.2m13"], 6500 ["(3.A6x2.A5).2","(3.a6x2.a5).2","6.suzm12"], 6501 ["(3.A6xA5):2","(3.a6xa5):2","3.suzm12"], 6502 ["(3^(1+2)+x3^2):2S4","(3^(1+2)+x3^2):2s4","g2(3)m3","g2(3)n3a"], 6503 ["(3^(1+2):2^2xG2(3)):2","(3^(1+2):2^2xg2(3)):2","3.f3+.2m16", 6504 "ndg(m,3^(1+2))"], 6505 ["(3^(1+2):4x2.A6).2","(3^(1+2):4x2.a6).2","6.suzm13"], 6506 ["(3^(1+2):4xA6).2","(3^(1+2):4xa6).2","3.suzm13"], 6507 ["(3^(1+2):8xA6).2","(3^(1+2):8xa6).2","3.suz.2m14"], 6508 ["(3^(1+2)x2).SD16","(3^(1+2)x2).sd16"], 6509 ["(3^2:2xG2(3)).2","(3^2:2xg2(3)).2","f3+m17"], 6510 ["(3^2:4x2.A6).2","(3^2:4x2.a6).2","2.suzm13"], 6511 ["(3^2:4xA6).2^2","(3^2:4xa6).2^2","on.2m4"], 6512 ["(3^2:4xa6).2","(3^2:4xa6).2","suzm13"], 6513 ["(3^2:8xA6).2","(3^2:8xa6).2","suz.2m14"], 6514 ["(3^2:D8xU4(3).2^2).2","(3^2:d8xu4(3).2^2).2","bm14"], 6515 ["(3^2x2).U4(3)","(3^2x2).u4(3)"], 6516 ["(3^2x2).U4(3).2_3'","(3^2x2).u4(3).2_3'"], 6517 ["(3^2x2).U4(3).D8","(3^2x2).u4(3).d8"], 6518 ["(3^2x4).U4(3)","(3^2x4).u4(3)"], 6519 ["(3x2.U4(2)):2","(3x2.u4(2)):2","2.o8+(2)m11"], 6520 ["(3x2S5).2","(3x2s5).2","u3(5).3.2m4"], 6521 ["(3x2^(1+6)_-.U4(2)).2","(3x2^(1+6)_-.u4(2)).2","3.suz.2c2a","3.suz.2m5"], 6522 ["(3x2^(2+8):(A5xS3)).2","(3x2^(2+8):(a5xs3)).2","3.suz.2m10"], 6523 ["(3x2^(4+6):3A6).2","(3x2^(4+6):3a6).2","3.suz.2m8"], 6524 ["(3xA6).2_1","(3xa6).2_1","a9m3"], 6525 ["(3xD10).2","(3xd10).2","m23n5"], 6526 ["(3xG2(3)):2","(3xg2(3)):2","thm5"], 6527 ["(3xG2(4)).2","(3xg2(4)).2","3.suz.2m2"], 6528 ["(3xL2(25)).2_2","(3xl2(25)).2_2","3.suz.2m15"], 6529 ["(3xM10):2","(3xm10):2","j3.2m5"], 6530 ["(3xMcLN2).2","(3xmcln2).2","ndg(ly,[2^7])"], 6531 ["(3xO8+(3):3):2","(3xo8+(3).3):2","(3xo8+(3):3):2","f3+m3","f3+n3a"], 6532 ["(3xONN2).2","(3xonn2).2"], 6533 ["(3xU4(2)):2","(3xu4(2)):2","o8+(2)m10"], 6534 ["(3xU5(2)).2","(3xu5(2)).2","3.suz.2m4"], 6535 ["(4^2x2)(2xS4)","(4^2x2)(2xs4)","u4(3).(2^2)_{133}m13"], 6536 ["(4^2x2)S4","(4^2x2)s4","u4(3).2_3m11"], 6537 ["(4^2x3).L3(4)","(4^2x3).l3(4)"], 6538 ["(4^2x3):S3","(4^2x3):s3","u3(11)m9"], 6539 ["(4xA6).2^2","(4xa6).2^2"], 6540 ["(4xA6).2_3","(4xa6).2_3","4.m22m7"], 6541 ["(4xA6):2","(4xa6):2","l4(3)m6"], 6542 ["(5^2:4S4x2.A5):2","(5^2:4s4x2.a5):2","2.bm23"], 6543 ["(5^2:[2^4]xU3(5)).S3","(5^2:[2^4]xu3(5)).s3","mm25"], 6544 ["(7:3x3):2","(7:3x3):2","u3(5).3.2m7"], 6545 ["(7:3xHe):2","(7:3xhe):2","mm17"], 6546 ["(7^2:(3x2A4)xL2(7)).2","(7^2:(3x2a4)xl2(7)).2","mm34"], 6547 ["(7xL2(7)):2","(7xl2(7)):2"], 6548 ["(7xL2(8)).3","(7xl2(8)).3","l6(2)m9"], 6549 ["(9x3).S3","(9x3).s3","u3(8)m6"], 6550 ["(A10x3):2","(a10x3):2","a13m3"], 6551 ["(A4wr2^2):2","(a4wr2^2):2"], 6552 ["(A4x2(A4xA4).2).2","(a4x2(a4xa4).2).2","o7(3)m15"], 6553 ["(A4x3):2","(a4x3):2","a7m5","l3(7)m6"], 6554 ["(A4x3.L3(4)).2","(a4x3.l3(4)).2","3.suzm8"], 6555 ["(A4x3.L3(4).2_3).2","(a4x3.l3(4).2_3).2","3.suz.2m9"], 6556 ["(A4xA5):2","(a4xa5):2","a9m6","j2.2m6"], 6557 ["(A4xD10).2","(a4xd10).2","m24n5"], 6558 ["(A4xG2(4)):2","(a4xg2(4)):2","co1m7"], 6559 ["(A4xL3(4):2_3):2","(a4xl3(4):2_3):2","suz.2m9"], 6560 ["(A4xO8+(2).3).2","(a4xo8+(2).3).2","(a4xo8+(2):3):2","f3+m12"], 6561 ["(A4xU4(2)):2","(a4xu4(2)):2","o8+(3)m18"], 6562 ["(A5x3):2","(a5x3):2","a8m6"], 6563 ["(A5xA12):2","(a5xa12):2","mm18"], 6564 ["(A5xA5).(2x4)","(a5xa5).(2x4)","2.o8+(2)m15"], 6565 ["(A5xA5):2^2","(a5xa5):2^2","o8+(2)m15","s4(4).2m6"], 6566 ["(A5xA5):4","(a5xa5):4","a10m4"], 6567 ["(A5xA9):2","(a5xa9).2","(a5xa9):2","f3+m18"], 6568 ["(A5xD10).2","(a5xd10).2","j2.2m7"], 6569 ["(A5xJ2):2","(a5xj2):2","co1m12"], 6570 ["(A5xU3(8):3):2","(a5xu3(8):3):2","mm21"], 6571 ["(A6:2_2xA5).2","(a6:2_2xa5).2","suz.2m13"], 6572 ["(A6x2.A5).2","(a6x2.a5).2","2.suzm12"], 6573 ["(A6xA4).2","(a6xa4).2","a10m5"], 6574 ["(A6xA5):2","(a6xa5):2","a11m5"], 6575 ["(A6xA6).D8","(a6xa6).d8","hnm8"], 6576 ["(A6xA6):2^2","(a6xa6):2^2","a12m4","o8+(3)m24"], 6577 ["(A6xA6xA6).(2xS4)","(a6xa6xa6).(2xs4)","mm20"], 6578 ["(A6xU3(3)):2","(a6xu3(3)):2","co1m14"], 6579 ["(A7x(A5xA5):2^2):2","(a7x(a5xa5):2^2):2","mm27"], 6580 ["(A7x3).2","(a7x3).2","a10m3"], 6581 ["(A7xA4):2","(a7xa4):2","a11m4"], 6582 ["(A7xA5):2","(a7xa5):2","a12m6"], 6583 ["(A7xA6):2","(a7xa6):2","a13m6"], 6584 ["(A7xL2(7)):2","(a7xl2(7)):2","(a7xl3(2)):2","co1m17"], 6585 ["(A8x3).2","(a8x3).2","a11m3","o8-(2)m5"], 6586 ["(A8xA4):2","(a8xa4):2","a12m5"], 6587 ["(A8xA5):2","(a8xa5):2","a13m5"], 6588 ["(A9x3):2","(a9x3):2","a12m3"], 6589 ["(A9xA4):2","(a9xa4):2","a13m4"], 6590 ["(D10x(A5xA5).2).2","(d10x(a5xa5).2).2","co1m18"], 6591 ["(D10xHN).2","(d10xhn).2","mm12","mn5a"], 6592 ["(D10xU3(5)).2","(d10xu3(5)).2","hnm5","hnn5a"], 6593 ["(GL(2,3)x2F4(2)').2","(gl(2,3)x2f4(2)').2","2.bm16"], 6594 ["(L2(11)xL2(11)):4","(l2(11)xl2(11)):4","mm32"], 6595 ["(L2(11)xM12):2","(l2(11)xm12):2","mm26"], 6596 ["(L3(2)xS4(4):2).2","(l3(2)xs4(4):2).2","mm23"], 6597 ["(QD16x2F4(2)').2","(qd16x2f4(2)').2","ndg(2.b,qd16)","ndg(m,qd16)"], 6598 ["(S3x2.Fi22).2","(s3x2.fi22).2","2.bm9","2.bn6a","3.f3+.2m3","3.f3+.2n6a", 6599 "mn6a"], 6600 ["(S3x2.U4(3).2_2).2","(s3x2.u4(3).2_2).2"], 6601 ["(S3xS3):2xS5","(s3xs3):2xs5","o8-(2).2m8"], 6602 ["(S3xS3xA5):2","(s3xs3xa5):2","o8-(2)m7"], 6603 ["(S3xS3xG2(3)):2","(s3xs3xg2(3)):2","f3+.2m16"], 6604 ["(S5xS5xS5):S3","(s5xs5xs5):s3","mm31"], 6605 ["(S6xL3(4).2).2","(s6xl3(4).2).2","bm19"], 6606 ["(S6xS6).2^2","(s6xs6).2^2","hn.2m9"], 6607 ["(S6xS6).4","(s6xs6).4","bm22"], 6608 ["(S6xS6):2","(s6xs6):2","a12.2m5","s8(2)m10"], 6609 ["(a4xpsl(3,4)):2","(a4xpsl(3,4)):2","suzm8"], 6610 ["(a6xa5).2","(a6xa5).2","suzm12"], 6611 ["1/2(8xS3)","1/2(8xs3)"], 6612 ["109:54","109:54","l2(109)m1"], 6613 ["10^2:S3","10^2:s3","l3(11)m4","u3(9)m4"], 6614 ["11+^(1+2):(5x2S4)","11+^(1+2):(5x2s4)","j4m7","j4n11"], 6615 ["113:56","113:56","l2(113)m1"], 6616 ["11:10","11:10","a11.2m7","co2n11","j1m5","j1n11","l2(11).2m2", 6617 "l2(11).2n11","m12.2n11","m24n11","onn11","suzn11"], 6618 ["11:5","11:5","hsn11","l2(11)m3","l2(11)n11","m11n11","m12n11","m22n11", 6619 "m23n11","mcln11"], 6620 ["11^(1+2)+:40","11^(1+2)+:40","u3(11)m1"], 6621 ["11^2:(5x2.A5)","11^2:(5x2.a5)","11^2:(5x2a5)","mm39","mn11"], 6622 ["11^2:(5x2L2(11).2)","11^2:(5x2l2(11).2)","l3(11)m1","l3(11)m2"], 6623 ["11^2:60","11^2:60","l2(121)m1"], 6624 ["12.A6.2_3","12.a6.2_3"], 6625 ["12.M22","12.m22"], 6626 ["12.M22.2","12.m22.2"], 6627 ["12.M22M2","12.m22m2"], 6628 ["12.M22M7","12.m22m7"], 6629 ["12.M22N3","12.m22n3"], 6630 ["127:7","127:7","l7(2)m4"], 6631 ["12_1.L3(4)","12.m22m1","12_1.l3(4)"], 6632 ["12_1.L3(4).2_1","12_1.l3(4).2_1"], 6633 ["12_1.L3(4).2_2","12_1.l3(4).2_2"], 6634 ["12_1.L3(4).2_3","12_1.l3(4).2_3"], 6635 ["12_1.U4(3)","12_1.u4(3)"], 6636 ["12_1.U4(3).2_1","12_1.u4(3).2_1"], 6637 ["12_1.U4(3).2_2","12_1.u4(3).2_2","6.o7(3)m1"], 6638 ["12_2.L3(4)","12_2.l3(4)"], 6639 ["12_2.L3(4).2_1","12_2.l3(4).2_1"], 6640 ["12_2.L3(4).2_2","12_2.l3(4).2_2"], 6641 ["12_2.L3(4).2_3","12_2.l3(4).2_3"], 6642 ["12_2.U4(3)","12_2.u4(3)"], 6643 ["12_2.U4(3).2_1","12_2.u4(3).2_1"], 6644 ["12_2.U4(3).2_3","12_2.u4(3).2_3"], 6645 ["133:3","133:3","l3(11)m5"], 6646 ["13:12","13:12","2f4(2)'.2m7","a13.2m8","sz(8).3m3"], 6647 ["13:3","13:3","l3(3)m3","u3(4)m4"], 6648 ["13:4","13:4","3d4(2)m9","3d4(2)n13","sz(8)m2"], 6649 ["13:6","13:6","2f4(2)'n13","a13m9","l2(13)m1","suzn13","u3(4).2m5"], 6650 ["13^(1+2):(3x4S4)","13^(1+2):(3x4s4)","mm36","mn13","mn13b"], 6651 ["13^1+2.2A4","13^1+2.2a4"], 6652 ["13^2:2.L2(13).4","13^2:2.l2(13).4","mm33"], 6653 ["17:16","17:16","f3+n17","fi23n17","l2(17).2m2"], 6654 ["17:8","17:8","hen17","j3n17","l2(17)m1"], 6655 ["19:18","19:18","j3.2m9","l2(19).2m2","thn19"], 6656 ["19:3","19:3","l3(7)m8","u3(8)m7"], 6657 ["19:6","19:6","j1m4","j1n19","onn19"], 6658 ["19:9","19:9","j3n19","l2(19)m1","l2(19)n19"], 6659 ["2(A4xA4).2^2","2(a4xa4).2^2","2.a8m5","u4(3)m14"], 6660 ["2(A4xA4).4.2","2(a4xa4).4.2","u4(3).2_3m7"], 6661 ["2(A4xA4).4.2^2","2(a4xa4).4.2^2","u4(3).(2^2)_{133}m9"], 6662 ["2(L2(11)x2).2","2(l2(11)x2).2","u3(11)m2"], 6663 ["2(L2(7)x4).2","2(l2(7)x4).2","u3(7)m2"], 6664 ["2.(2.(A4xA4).2)","2.(2.(a4xa4).2)","2.u4(2)m5"], 6665 ["2.(2.(A4xA4).2.2)","2.(2.(a4xa4).2.2)","2.u4(2).2m6"], 6666 ["2.(2^2xSz(8)):3","2.(2^2xsz(8)):3","2.rum3"], 6667 ["2.(2^2xU4(2)).2","2.(2^2xu4(2)).2","2.o7(3)m12"], 6668 ["2.(2^4:A5)","2.(2^4:a5)","2.u4(2)m1"], 6669 ["2.(2^5:S6)","2.(2^5:s6)","2.s6(2)m3"], 6670 ["2.(2x2^(1+8)):U4(2):2","2.(2x2^(1+8)):u4(2):2","2.fi22m7"], 6671 ["2.(2x3.A7)","12.m22m3","12.m22m4","2.(2x3.a7)"], 6672 ["2.(2x3^4:A6)","2.(2x3^4:a6)","4.u4(3)m1"], 6673 ["2.(2xA7)","2.(2xa7)","4.m22m3","4.m22m4"], 6674 ["2.(2xF4(2)).2","2.(2xf4(2)).2","4.f4(2).2","mc4b"], 6675 ["2.(2xL2(11))","2.(2xl2(11))","4.m22m8"], 6676 ["2.(3^(1+4).[2^7.3])","2.(3^(1+4).[2^7.3])","2.u6(2)m15"], 6677 ["2.(3^(1+6):2^(3+4):3^2:2)","2.(3^(1+6):2^(3+4):3^2:2)","2.fi22m14"], 6678 ["2.(3^2:D8xU4(3).2^2).2","2.(3^2:d8xu4(3).2^2).2","2.bm14"], 6679 ["2.(3^3:(S4x2))","2.(3^3:(s4x2))","2.u4(2).2m4"], 6680 ["2.(A4x2(A4xA4).2).2","2.(a4x2(a4xa4).2).2","2.o7(3)m15"], 6681 ["2.(A4xA4)","2.(a4xa4)"], 6682 ["2.(A4xL3(4)).2","2.(a4xl3(4)).2","2.suzm8"], 6683 ["2.(A4xU4(2))","2.(a4xu4(2))","s6(3)c2a","s6(3)m4","s6(3)n2a"], 6684 ["2.(A5xA4).2","2.(a5xa4).2","2.a9m6"], 6685 ["2.(A5xA5).2","2.(a5xa5).2","g2(5)c2a","g2(5)m5","g2(5)n2a"], 6686 ["2.(A5xA5).2^2","2.(a5xa5).2^2","2.o8+(2)m16"], 6687 ["2.(A5xA5).4","2.(a5xa5).4","2.a10m4"], 6688 ["2.(A6xA4).2","2.(a6xa4).2","2.a10m5"], 6689 ["2.(A6xA5).2","2.(a6xa5).2","2.a11m5"], 6690 ["2.(A6xA6).2^2","2.(a6xa6).2^2","2.a12m4"], 6691 ["2.(A7xA4).2","2.(a7xa4).2","2.a11m4"], 6692 ["2.(A7xA5).2","2.(a7xa5).2","2.a12m6"], 6693 ["2.(A8xA4).2","2.(a8xa4).2","2.a12m5"], 6694 ["2.(S3xS6)","2.(s3xs6)","2.s6(2)m7"], 6695 ["2.(S6x2)","2.(s6x2)","2.u4(2).2m3"], 6696 ["2.(S6xS4)","2.(s6xs4)","2.o7(3)m14"], 6697 ["2..11.m23","2..11.m23","f23m6","fi23m6"], 6698 ["2.2.2^4+6:S5","2.2.2^4+6:s5","2.rum6"], 6699 ["2.2E6(2)","2.2e6(2)"], 6700 ["2.2E6(2).2","2.2e6(2).2","bc2a","bm1","bn2a"], 6701 ["2.2E6(2)M5","2.2e6(2)m5"], 6702 ["2.2E6(2)M9","2.2e6(2)m9"], 6703 ["2.2^(1+8)_+:(S3xS3xS3)","2.2^(1+8)_+:(s3xs3xs3)","2.o8+(2)m13"], 6704 ["2.2^(1+8)_+:U4(2)","2.2^(1+8)_+:u4(2)","2.u6(2)m2"], 6705 ["2.2^(2+2).2^(1+1+2+2):S4","2.2^(2+2).2^(1+1+2+2):s4"], 6706 ["2.2^(2+8).(3xA5)","2.2^(2+8).(3xa5)","2.g2(4)m2"], 6707 ["2.2^(3+3):7","2.2^(3+3):7","2.sz(8)m1"], 6708 ["2.2^(4+6).(A5x3)","2.2^(4+6).(a5x3)","2.g2(4)m3"], 6709 ["2.2^(4+8):(S3xA5)","2.2^(4+8):(s3xa5)","2.u6(2)m7"], 6710 ["2.2^11:M24","2.2^11:m24","2.co1m3"], 6711 ["2.2^3+8:L3(2)","2.2^3+8:l3(2)","2.rum4"], 6712 ["2.2^4+6:S5","2.2^4+6:s5","ruc2a","rum6","run2a"], 6713 ["2.2^4.S6","2.2^4.s6","2.hsm6"], 6714 ["2.2^4:3","2.2^4:3"], 6715 ["2.2^5.S6","2.2^5.s6","2.a12m10"], 6716 ["2.2^6.L3(2)","2.2^6.l3(2)","2.s6(2)m5"], 6717 ["2.2^6:u3(3):2","2.2^6:u3(3):2","2.rum2"], 6718 ["2.2^8.f20","2.2^8.f20","2f4(2)'c2a","2f4(2)'m3","2f4(2)'n2a"], 6719 ["2.3^4.2^3.S4","2.3^4.2^3.s4","2.a12m11"], 6720 ["2.4^3.L3(2)","2.4^3.l3(2)","2.hsm7"], 6721 ["2.A10","2.a10","2.a11m1"], 6722 ["2.A10.2","2.a10.2","2.s10"], 6723 ["2.A11","2.a11","2.a12m1","lyc2a","lym4","lyn2a"], 6724 ["2.A11.2","2.a11.2","2.s11"], 6725 ["2.A11M7","2.a11m7"], 6726 ["2.A12","2.a12"], 6727 ["2.A12.2","2.a12.2","2.s12"], 6728 ["2.A12M8","2.a12m8"], 6729 ["2.A13","2.a13"], 6730 ["2.A13.2","2.a13.2","2.s13"], 6731 ["2.A14.2","2.a14.2","2.s14"], 6732 ["2.A15.2","2.a15.2","2.s15"], 6733 ["2.A16.2","2.a16.2","2.s16"], 6734 ["2.A17.2","2.a17.2","2.s17"], 6735 ["2.A18.2","2.a18.2","2.s18"], 6736 ["2.A4x3","2.a4x3"], 6737 ["2.A4xS3","2.a4xs3","2.m12m11"], 6738 ["2.A5","2.a1(4)","2.a1(5)","2.a5","2.a6m1","2.j2m9","2.l2(11)m1", 6739 "2.l2(11)m2","2.l2(19)m2","2.l2(19)m3","2.l2(29)m2","2.l2(29)m3", 6740 "2.l2(31)m2","2.l2(31)m3","2.l2(4)","2.l2(5)","2.o3(4)","2.o3(5)", 6741 "2.o4-(2)","2.s2(4)","2.s2(5)","2.u2(4)","2.u2(5)"], 6742 ["2.A5.2","2.a5.2","2.s5","u3(5)c2a","u3(5)m8","u3(5)n2a"], 6743 ["2.A5xA5","2.a5xa5","2.g2(4)m7"], 6744 ["2.A6","2.a1(9)","2.a6","2.a7m1","2.c2(2)'","2.l2(9)","2.o3(9)","2.o4-(3)", 6745 "2.o5(2)'","2.s2(9)","2.s4(2)'","2.u2(9)"], 6746 ["2.A6.2_1","2.a6.2_1","2.a8m4","2.s6","2.u4(2)m2"], 6747 ["2.A6.2_2","2.a6.2_2"], 6748 ["2.A6M2","2.a6m2"], 6749 ["2.A6M5","2.a6m5"], 6750 ["2.A6x3","2.a6x3"], 6751 ["2.A7","2.a7","2.a8m1","2.suzm17"], 6752 ["2.A7.2","2.a7.2","2.s7"], 6753 ["2.A7x3","2.a7x3"], 6754 ["2.A8","2.a8","2.a9m1","mclc2a","mclm8","mcln2a"], 6755 ["2.A8.2","2.a8.2","2.s8"], 6756 ["2.A9","2.a10m1","2.a9","2.o8+(2)m8"], 6757 ["2.A9.2","2.a9.2","2.s9"], 6758 ["2.A9M5","2.a9m5"], 6759 ["2.A9x3","2.a9x3"], 6760 ["2.B","2.b","2.f2+","mc2a","mm1","mn2a"], 6761 ["2.BN7","2.bn7"], 6762 ["2.Co1","2.co1","2.f2-"], 6763 ["2.D12","2.d12","2.l2(11)m4","2.l2(13)m3"], 6764 ["2.D14","2.d14","2.l2(13)m2"], 6765 ["2.D16","2.d16","2.l2(17)m5"], 6766 ["2.D18","2.d18","2.l2(17)m4","2.l2(19)m5"], 6767 ["2.D20","2.d20","2.l2(19)m4"], 6768 ["2.D22","2.d22","2.l2(23)m5"], 6769 ["2.D24","2.d24","2.l2(23)m4","2.l2(25)m5"], 6770 ["2.D26","2.d26","2.l2(25)m4","2.l2(27)m3"], 6771 ["2.D28","2.d28","2.l2(27)m2","2.l2(29)m5"], 6772 ["2.D30","2.d30","2.l2(29)m4","2.l2(31)m5"], 6773 ["2.D32","2.d32","2.l2(31)m4"], 6774 ["2.D8","2.d8"], 6775 ["2.F4(2)","2.2e6(2)m4","2.f4(2)"], 6776 ["2.F4(2).2","2.f4(2).2"], 6777 ["2.Fi22","2.2e6(2)m8","2.f22","2.fi22","f23m1","fi23c2a","fi23m1","fi23n2a" 6778 ], 6779 ["2.Fi22.2","2.fi22.2","f3+c2a","f3+m2","f3+n2a"], 6780 ["2.Fi22M3","2.fi22m3"], 6781 ["2.Fi22M5","2.fi22m5"], 6782 ["2.G2(4)","2.g2(4)","2.suzm1"], 6783 ["2.G2(4).2","2.g2(4).2","g2f4c"], 6784 ["2.HS","2.hs"], 6785 ["2.HS.2","2.hs.2","hnc2a","hnm2","hnn2a"], 6786 ["2.HS.2N2","2.hs.2n2"], 6787 ["2.HS.2N3","2.hs.2n3"], 6788 ["2.HS.2N5","2.hs.2m9","2.hs.2n5","hnn10a"], 6789 ["2.HSM10","2.hsm10"], 6790 ["2.HSM11","2.hsm11"], 6791 ["2.HSM3","2.hsm3"], 6792 ["2.HSM9","2.hsm9"], 6793 ["2.HSN2","2.hsn2"], 6794 ["2.HSN3","2.hsn3"], 6795 ["2.J2","2.f5-","2.g2(4)m1","2.hj","2.j2"], 6796 ["2.J2.2","2.f5-.2","2.hj.2","2.j2.2","2.suzm6"], 6797 ["2.J2.2N5","2.j2.2n5","2.suzn5"], 6798 ["2.J2M8","2.j2m8","2.j2n5"], 6799 ["2.J2N2","2.j2n2"], 6800 ["2.J2N3","2.j2n3"], 6801 ["2.L2(11)","2.a1(11)","2.l2(11)","2.m12m5","2.o3(11)","2.s2(11)","2.u2(11)" 6802 ], 6803 ["2.L2(11).2","2.l2(11).2"], 6804 ["2.L2(13)","2.a1(13)","2.g2(4)m8","2.l2(13)","2.o3(13)","2.s2(13)", 6805 "2.u2(13)"], 6806 ["2.L2(13).2","2.l2(13).2"], 6807 ["2.L2(17)","2.a1(17)","2.l2(17)","2.o3(17)","2.s2(17)","2.u2(17)"], 6808 ["2.L2(17).2","2.l2(17).2"], 6809 ["2.L2(19)","2.a1(19)","2.l2(19)","2.o3(19)","2.s2(19)","2.u2(19)"], 6810 ["2.L2(19).2","2.l2(19).2"], 6811 ["2.L2(23)","2.l2(23)"], 6812 ["2.L2(23).2","2.l2(23).2"], 6813 ["2.L2(25)","2.l2(25)","2.suzm16"], 6814 ["2.L2(25).2_1","2.l2(25).2_1"], 6815 ["2.L2(25).2_2","2.l2(25).2_2"], 6816 ["2.L2(25)M3","2.l2(25)m3"], 6817 ["2.L2(27)","2.l2(27)"], 6818 ["2.L2(27).2","2.l2(27).2"], 6819 ["2.L2(27).3","2.l2(27).3"], 6820 ["2.L2(27).6","2.l2(27).6"], 6821 ["2.L2(29)","2.l2(29)","2.rum9"], 6822 ["2.L2(29).2","2.l2(29).2"], 6823 ["2.L2(3)","2.a5m1","2.l2(13)m4","2.l2(27)m4","2.l2(3)","sl(2,3)"], 6824 ["2.L2(31)","2.l2(31)"], 6825 ["2.L2(31).2","2.l2(31).2"], 6826 ["2.L2(49)","2.l2(49)"], 6827 ["2.L2(49).2_1","2.l2(49).2_1"], 6828 ["2.L2(49).2_2","2.l2(49).2_2"], 6829 ["2.L2(81)","2.l2(81)"], 6830 ["2.L2(81).2_1","2.l2(81).2_1"], 6831 ["2.L2(81).2_2","2.l2(81).2_2"], 6832 ["2.L2(81).4_1","2.l2(81).4_1"], 6833 ["2.L3(2)","2.a1(7)","2.a2(2)","2.a7m2","2.a7m3","2.l2(7)","2.l3(2)", 6834 "2.o3(7)","2.s2(7)","2.u2(7)"], 6835 ["2.L3(2).2","2.l3(2).2"], 6836 ["2.L3(4)","2.l3(4)","2.m22m1"], 6837 ["2.L3(4).(2^2)_{1*2*3*}","2.l3(4).(2^2)_{1*2*3*}"], 6838 ["2.L3(4).(2^2)_{1*2*3}","2.l3(4).(2^2)_{1*2*3}"], 6839 ["2.L3(4).(2^2)_{1*23*}","2.l3(4).(2^2)_{1*23*}"], 6840 ["2.L3(4).(2^2)_{1*23}","2.l3(4).(2^2)_{1*23}"], 6841 ["2.L3(4).(2^2)_{12*3*}","2.l3(4).(2^2)_{12*3*}"], 6842 ["2.L3(4).(2^2)_{12*3}","2.l3(4).(2^2)_{12*3}"], 6843 ["2.L3(4).(2^2)_{123*}","2.l3(4).(2^2)_{123*}"], 6844 ["2.L3(4).(2^2)_{123}","2.l3(4).(2^2)_{123}"], 6845 ["2.L3(4).2_1","2.l3(4).2_1","2.u6(2)m16"], 6846 ["2.L3(4).2_2","2.l3(4).2_2","2.m22.2m2"], 6847 ["2.L3(4).2_3","2.l3(4).2_3"], 6848 ["2.L3(4)M4","2.l3(4)m4"], 6849 ["2.L3(4)M5","2.l3(4)m5"], 6850 ["2.L3(4)M7","2.l3(4)m7"], 6851 ["2.L3(4)M8","2.l3(4)m8"], 6852 ["2.L4(3)","2.l4(3)"], 6853 ["2.L4(3).2_1","2.l4(3).2_1"], 6854 ["2.L4(3).2_2","2.l4(3).2_2","2.o7(3)m3"], 6855 ["2.L4(3).2_3","2.l4(3).2_3"], 6856 ["2.L4(5)","2.l4(5)"], 6857 ["2.M12","2.a12m7","2.m12"], 6858 ["2.M12.2","2.m12.2"], 6859 ["2.M12M10","2.m12m10"], 6860 ["2.M12M2","2.m12m2"], 6861 ["2.M12M4","2.m12m4"], 6862 ["2.M12M7","2.m12m7"], 6863 ["2.M12M8","2.m12m8"], 6864 ["2.M12M9","2.m12m9"], 6865 ["2.M12N2","2.m12n2"], 6866 ["2.M22","2.hsm1","2.m22","2.m22.2m1","2.u6(2)m12"], 6867 ["2.M22.2","2.m22.2"], 6868 ["2.M22M2","2.m22m2"], 6869 ["2.M22M5","2.m22m5"], 6870 ["2.O10-(3)","2.o10-(3)"], 6871 ["2.O7(3)","2.o7(3)"], 6872 ["2.O7(3).2","2.o7(3).2"], 6873 ["2.O7(3)M11","2.o7(3)m11"], 6874 ["2.O7(3)M5","2.o7(3)m5"], 6875 ["2.O7(3)M8","2.o7(3)m8"], 6876 ["2.O7(3)M9","2.o7(3)m9"], 6877 ["2.O8+(2)","2.o8+(2)"], 6878 ["2.O8+(2).2","2.o8+(2).2","w(e8)"], 6879 ["2.O8+(2)M12","2.o8+(2)m12"], 6880 ["2.O8+(2)M17","2.o8+(2)m17"], 6881 ["2.O8+(2)M3","2.o8+(2)m3"], 6882 ["2.O8+(2)M6","2.o8+(2)m6"], 6883 ["2.O8+(2)M9","2.o8+(2)m9"], 6884 ["2.O8+(3)","2.o8+(3)"], 6885 ["2.O8+(7)","2.o8+(7)"], 6886 ["2.O8-(3)","2.o8-(3)"], 6887 ["2.O9(3)","2.o9(3)"], 6888 ["2.Ru","2.ru"], 6889 ["2.RuM1","2.rum1"], 6890 ["2.RuN2","2.run2"], 6891 ["2.S3","2.a5m3","2.a5n3","2.s3"], 6892 ["2.S4","2.s4","m11c2","m11c2a","m11m5","m11n2a","m8:s3"], 6893 ["2.S4(5)","2.s4(5)"], 6894 ["2.S4(5).2","2.s4(5).2"], 6895 ["2.S6(2)","2.o7(3)m7","2.o8+(2)m2","2.s6(2)","2.s6f2","co3c2a","co3m6", 6896 "co3n2a"], 6897 ["2.S6(3)","2.s6(3)"], 6898 ["2.S6(3).2","2.s6(3).2"], 6899 ["2.Suz","2.suz"], 6900 ["2.Suz.2","2.suz.2"], 6901 ["2.SuzM11","2.suzm11"], 6902 ["2.SuzM4","2.suzm4"], 6903 ["2.SuzM7","2.suzm7"], 6904 ["2.SuzM9","2.suzm9"], 6905 ["2.Symm(4)","2.a6m4","2.l2(17)m2","2.l2(17)m3","2.l2(23)m2","2.l2(23)m3", 6906 "2.l2(31)m6","2.l2(31)m7","2.l3(2)m1","2.l3(2)m2","2.symm(4)"], 6907 ["2.Sz(8)","2.sz(8)"], 6908 ["2.U4(2)","2.u4(2)","2.u4(2).2m1"], 6909 ["2.U4(2).2","2.s6(2)m1","2.u4(2).2"], 6910 ["2.U4(3)","2.u4(3)"], 6911 ["2.U4(3).(2^2)_{1*2*2*}","2.u4(3).(2^2)_{1*2*2*}"], 6912 ["2.U4(3).(2^2)_{1*2*2}","2.u4(3).(2^2)_{1*2*2}"], 6913 ["2.U4(3).(2^2)_{1*22}","2.u4(3).(2^2)_{1*22}"], 6914 ["2.U4(3).(2^2)_{1*3*3*}","2.u4(3).(2^2)_{1*3*3*}"], 6915 ["2.U4(3).(2^2)_{1*3*3}","2.u4(3).(2^2)_{1*3*3}"], 6916 ["2.U4(3).(2^2)_{1*33}","2.u4(3).(2^2)_{1*33}"], 6917 ["2.U4(3).(2^2)_{12*2*}","2.u4(3).(2^2)_{12*2*}"], 6918 ["2.U4(3).(2^2)_{12*2}","2.u4(3).(2^2)_{12*2}"], 6919 ["2.U4(3).(2^2)_{122}","2.u4(3).(2^2)_{122}","o8+(3)c2a","o8+(3)m15", 6920 "o8+(3)n2a"], 6921 ["2.U4(3).(2^2)_{13*3*}","2.u4(3).(2^2)_{13*3*}"], 6922 ["2.U4(3).(2^2)_{13*3}","2.u4(3).(2^2)_{13*3}"], 6923 ["2.U4(3).(2^2)_{133}","2.u4(3).(2^2)_{133}"], 6924 ["2.U4(3).2_1","2.u4(3).2_1"], 6925 ["2.U4(3).2_2","2.u4(3).2_2","2.u6(2)m5","o7(3)c2a","o7(3)m1","o7(3)n2a"], 6926 ["2.U4(3).2_2'","2.u4(3).2_2'"], 6927 ["2.U4(3).2_3","2.u4(3).2_3"], 6928 ["2.U4(3).2_3'","2.u4(3).2_3'"], 6929 ["2.U4(3).4","2.u4(3).4"], 6930 ["2.U4(3).D8","2.u4(3).d8"], 6931 ["2.U6(2)","2.u6(2)","fi22c2a","fi22m1","fi22n2a"], 6932 ["2.U6(2).2","2.u6(2).2","fi22.2m2"], 6933 ["2.U6(2)M10","2.u6(2)m10"], 6934 ["2.U6(2)M13","2.u6(2)m13"], 6935 ["2.U6(2)M3","2.u6(2)m3"], 6936 ["2.U6(2)M6","2.u6(2)m6"], 6937 ["2.U6(2)M9","2.u6(2)m9"], 6938 ["2.[2^6]:(S3xS3)","2.[2^6]:(s3xs3)","s6(2)c2b","s6(2)m6","s6(2)n2b"], 6939 ["2.[2^9]:5:4","2.[2^9]:5:4","2f4(2)'.2m2"], 6940 ["23:11","23:11","co1n23","co2n23","co3n23","f3+n23","fi23n23","l2(23)m1", 6941 "m23m7","m23n23","m24n23"], 6942 ["25:4","25:4","sz(32)m3"], 6943 ["29:14","29:14","f3+m25","f3+n29","l2(29)m1","run29"], 6944 ["2A4xA5","2.j2m5","2.l2(3)xa5","2a4xa5"], 6945 ["2A5xD10","2.j2m6","2a5xd10"], 6946 ["2E6(2)","2e6(2)","e6f2"], 6947 ["2E6(2).2","2e6(2).2","e6f2.2"], 6948 ["2E6(2).3","2e6(2).3"], 6949 ["2E6(2).3.2","2e6(2).3.2","2e6(2).s3"], 6950 ["2E6(2)M4","2e6(2)m4"], 6951 ["2E6(2)M5","2e6(2)m5"], 6952 ["2E6(2)M8","2e6(2)m8"], 6953 ["2E6(2)M9","2e6(2)m9"], 6954 ["2F4(2)'","2f4(2)'","2f4(2)'.2m1","fi22m9","r(2)'","r2c","tits"], 6955 ["2F4(2)'.2","2f4(2)","2f4(2)'.2","fi22.2m8","r(2)","rum1","tits.2"], 6956 ["2F4(2)'.2N2","2f4(2)'.2n2"], 6957 ["2F4(2)'M2","2f4(2)'m2"], 6958 ["2F4(2)'M7","2f4(2)'m7"], 6959 ["2F4(2)'N2","2f4(2)'n2"], 6960 ["2F4(8)","2f4(8)"], 6961 ["2S5.2","2s5.2","u3(5).2m5"], 6962 ["2^(1+1+2+2):S3","2^(1+1+2+2):s3"], 6963 ["2^(1+12).3_1.U4(3).2_2'","2^(1+12).3_1.u4(3).2_2'","f3+c2b","f3+m9", 6964 "f3+n2b"], 6965 ["2^(1+12)_+.3_1.U4(3).2^2_{122}","2^(1+12)_+.3_1.u4(3).2^2_{122}", 6966 "f3+.2m10"], 6967 ["2^(1+22).Co2","2^(1+22).co2","bm2","bn2b"], 6968 ["2^(1+3):L3(2)","2.a8m2","2.a8m3","2^(1+3):l3(2)"], 6969 ["2^(1+4)+.(S3xS3)","2^(1+4)+.(s3xs3)","g2(3).2m6"], 6970 ["2^(1+4)+:3^2.2","2^(1+4)+:3^2.2","g2(3)c2a","g2(3)m10"], 6971 ["2^(1+4).S3","2^(1+4).s3","u3(3).2c2a","u3(3).2m4","u3(3).2n2a", 6972 "u3(3).2n4a"], 6973 ["2^(1+4).S5","2.a10m6","2^(1+4).s5","j2.2c2a","j2.2m4","j2.2n2a","j3.2c2a", 6974 "j3.2m7","j3.2n2a"], 6975 ["2^(1+6)_+.A8","2.o8+(2)m5","2^(1+6)_+.a8"], 6976 ["2^(1+6)_+.L3(2).2","2^(1+6)_+.l3(2).2","he.2m4"], 6977 ["2^(1+6)_+:3A7","2^(1+6)_+:3a7","6.o7(3)m13"], 6978 ["2^(1+6)_+:A7","2.o7(3)m13","2^(1+6)_+:a7"], 6979 ["2^(1+6)_+:S5","2^(1+6)_+:s5","hs.2m7"], 6980 ["2^(1+6)_-.3^3.S4","2.a12m9","2^(1+6)_-.3^3.s4"], 6981 ["2^(1+6)_-.U4(2).2","2^(1+6)_-.u4(2).2","suz.2c2a","suz.2m5","suz.2n2a"], 6982 ["2^(1+6)_-3.3.3^2:2","2^(1+6)_-3.3.3^2:2"], 6983 ["2^(1+8)+.O8+(2)","2^(1+8)+.o8+(2)","cenc1","co1c2a","co1m5","co1n2a"], 6984 ["2^(1+8)+:L2(8)","2^(1+8)+:l2(8)","3d4(2)m1"], 6985 ["2^(1+8).(A5xA5).2","2^(1+8).(a5xa5).2","hnc2b","hnm4","hnn2b"], 6986 ["2^(1+8):S8","2^(1+8):s8"], 6987 ["2^(1+8)_+.(A5xA5).2^2","2^(1+8)_+.(a5xa5).2^2","hn.2m5"], 6988 ["2^(1+8)_+:(S3xS3xS3)","2^(1+8)_+:(s3xs3xs3)","o8+(2)m13"], 6989 ["2^(1+8)_+:U4(2)","2^(1+8)_+:u4(2)","u6(2)m2"], 6990 ["2^(2+1+2).2^(1+1+2).2^2.S4","2^(2+1+2).2^(1+1+2).2^2.s4"], 6991 ["2^(2+10+20).(M22.2xS3)","2^(2+10+20).(m22.2xs3)","bm7"], 6992 ["2^(2+12):(A8xS3)","2^(2+12):(a8xs3)","co1m8"], 6993 ["2^(2+2+4).(S3xS3)","2^(2+2+4).(s3xs3)"], 6994 ["2^(2+4).(S3x2)","2^(2+4).(s3x2)"], 6995 ["2^(2+4).S3","2^(2+4).s3"], 6996 ["2^(2+4):(3x3):2","2^(2+4):(3x3):2"], 6997 ["2^(2+4):(3xD10)","2^(2+4):(3xd10)","u3(4).2m2"], 6998 ["2^(2+4):(S3xS3)","2^(2+4):(s3xs3)","j2.2m5","j3.2m8","l3(4).d12m5", 6999 "mcl.2m10"], 7000 ["2^(2+4):15","2^(2+4):15","u3(4)m1"], 7001 ["2^(2+6):3^3:S3","2^(2+6):3^3:s3","s6(3)m5"], 7002 ["2^(2+8):(3xA5)","2^(2+8):(3xa5)","2^2+8:(a5xz3)","castbl","g2(4)m2"], 7003 ["2^(2+8):(S5xS3)","2^(2+8):(s5xs3)","suz.2m10"], 7004 ["2^(3+1+3).L3(2)","2^(3+1+3).l3(2)"], 7005 ["2^(3+12).(L3(2)xA6)","2^(3+12).(l3(2)xa6)","f3+m15"], 7006 ["2^(3+12).(L3(2)xS6)","2^(3+12).(l3(2)xs6)","f3+.2m14"], 7007 ["2^(3+3):7","2^(3+3):7","sz(8)m1","sz(8)n2"], 7008 ["2^(3+3):7:3","2^(3+3):7:3","sz(8).3m2","sz(8).3n2"], 7009 ["2^(3+6):21","2^(3+6):21","u3(8)m1"], 7010 ["2^(3+8):(S3xS6)","2^(3+8):(s3xs6)","s8(2)m5"], 7011 ["2^(4+10)(S5xS3)","2^(4+10)(s5xs3)","co2m8"], 7012 ["2^(4+10).(S4xS3)","2^(4+10).(s4xs3)"], 7013 ["2^(4+12).(S3x3S6)","2^(4+12).(s3x3s6)","co1m9"], 7014 ["2^(4+4).(S3xS3).2","2^(4+4).(s3xs3).2","he.2m8"], 7015 ["2^(4+4):(3xA5)","2^(4+4):(3xa5)","u5(2)m3"], 7016 ["2^(4+6):(A5x3)","2^(4+6):(a5x3)","2^4+6:(z3xa5)","g2(4)m3"], 7017 ["2^(4+6):3S6","2^(4+6):3s6","suz.2m8"], 7018 ["2^(4+8):(S3xA5)","2^(4+8):(s3xa5)","u6(2)m7"], 7019 ["2^(5+5):31","2^(5+5):31","sz(32)m1"], 7020 ["2^(5+8):(S3xA6)","2^(5+8):(s3xa6)","fi22m10"], 7021 ["2^(5+8):(S3xS6)","2^(5+8):(s3xs6)","fi22.2m9"], 7022 ["2^(6+6):(S3xL3(2))","2^(6+6):(s3xl3(2))","s8(2)m7"], 7023 ["2^(6+8).(S3xA8)","2^(6+8).(s3xa8)","f3+m16"], 7024 ["2^(6+8):(A7xS3)","2^(6+8):(a7xs3)","fi23m11"], 7025 ["2^(7+8).(S3xA8)","2^(7+8).(s3xa8)","f3+.2m15"], 7026 ["2^(9+16).S8(2)","2^(9+16).s8(2)","bm4"], 7027 ["2^1+24.2.Co1","2^1+24.2.co1"], 7028 ["2^1+24.Co1","2^(1+24).co1","2^1+24.co1","mc2b","mm2","mn2b"], 7029 ["2^1+4+6.a8","2^1+4+6.a8","co2c2b","co2m6","co2n2b"], 7030 ["2^1+4b:a5","2^1+4b:a5","j2c2a","j2m3","j2n2a","j3c2a","j3m8","j3n2a", 7031 "s2j2"], 7032 ["2^1+6.psl(3,2)","2^1+6.l3(2)","2^1+6.psl(3,2)","hec2b","hem5","hen2b"], 7033 ["2^1+6.u4q2","2^1+6.u4q2","suzc2a","suzm4","suzn2a"], 7034 ["2^1+8.2.A9","2^1+8.2.a9"], 7035 ["2^1+8.a9","2^1+8.a9","thc2a","thm3","thn2a"], 7036 ["2^1+8:s6f2","2^1+8:s6f2","c2c2","co2c2a","co2m4","co2n2a"], 7037 ["2^10.A8","2^10.a8","s8(2)m4"], 7038 ["2^10:(2^5:s5)","2^10:(2^5:s5)"], 7039 ["2^10:(L5(2)xS3)","2^10:(l5(2)xs3)","l7(2)m2","p2l72"], 7040 ["2^10:L5(2)","2^10:l5(2)","j4m3","o10+(2)m3"], 7041 ["2^10:M22'","2^10:m22'"], 7042 ["2^10:m22","2^10:m22","f22m5","fi22m5"], 7043 ["2^10:m22:2","2^10:m22:2","co2m2"], 7044 ["2^11.2^6.3^(1+2).D8","2^11.2^6.3^(1+2).d8"], 7045 ["2^11:M24","2^11.m24","2^11:m24","co1m3"], 7046 ["2^12.3^2.U4(3).2_2'","2^12.3^2.u4(3).2_2'"], 7047 ["2^12.3_1.U4(3).2_2'","2^12.3_1.u4(3).2_2'"], 7048 ["2^12.M24","2^12.m24","f3+.2m8"], 7049 ["2^12:(L4(2)xL3(2))","2^12:(l4(2)xl3(2))","l7(2)m3","p3l72"], 7050 ["2^12:J2","2^12:j2"], 7051 ["2^12:Sz(8)","2^12:sz(8)"], 7052 ["2^2+4.3xs3","2^2+4.3xs3","j2m4","j3m9"], 7053 ["2^2+8(a5xs3)","2^2+8(a5xs3)","suzm9"], 7054 ["2^2.(2^(1+8)_+:(S3xS3xS3))","2^2.(2^(1+8)_+:(s3xs3xs3))","2^2.o8+(2)m13"], 7055 ["2^2.(2^7.3^2).s3","2^2.(2^7.3^2).s3","co3m12"], 7056 ["2^2.(3^2:2A4)","2^2.(3^2:2a4)","2^2.l3(4).3m4"], 7057 ["2^2.(3^2:Q8)","2^2.(3^2:q8)","2^2.l3(4)m9"], 7058 ["2^2.(3^2:Q8.2)","2^2.(3^2:q8.2)","2^2.l3(4).2_2m6"], 7059 ["2^2.(U3(3).2xS4)","2^2.(u3(3).2xs4)"], 7060 ["2^2.2E6(2)","2^2.2e6(2)"], 7061 ["2^2.2E6(2).2","2.bm1","2^2.2e6(2).2"], 7062 ["2^2.2E6(2).3","2^2.2e6(2).3"], 7063 ["2^2.2E6(2).3.2","2^2.2e6(2).3.2","2^2.2e6(2).s3","mm4"], 7064 ["2^2.2E6(2)M4","2^2.2e6(2)m4"], 7065 ["2^2.2E6(2)M5","2^2.2e6(2)m5"], 7066 ["2^2.2E6(2)M8","2^2.2e6(2)m8"], 7067 ["2^2.2E6(2)M9","2^2.2e6(2)m9"], 7068 ["2^2.2^(1+8)_+:U4(2)","2^2.2^(1+8)_+:u4(2)","2^2.u6(2)m2"], 7069 ["2^2.2^(3+3):7","2^2.2^(3+3):7","2^2.sz(8)m1"], 7070 ["2^2.2^(4+8):(S3xA5)","2^2.2^(4+8):(s3xa5)","2^2.u6(2)m7"], 7071 ["2^2.2^8:s3","2^2.2^8:s3","2f4(2)'m5"], 7072 ["2^2.Fi22.2","2^2.fi22.2","f3+.2m3"], 7073 ["2^2.L3(4)","2^2.l3(4)","2^2.l3(4).2_2m1","2^2.l3(4).3m1","v4.l3(4)"], 7074 ["2^2.L3(4).2^2","2^2.l3(4).2^2"], 7075 ["2^2.L3(4).2_1","2^2.l3(4).2_1"], 7076 ["2^2.L3(4).2_2","2^2.l3(4).2_2","2^2.psl(3,4).s3m2"], 7077 ["2^2.L3(4).2_3","2^2.l3(4).2_3"], 7078 ["2^2.L3(4).3","2^2.l3(4).3","2^2.psl(3,4).s3m1"], 7079 ["2^2.L3(4).3.2_2","2^2.l3(4).3.2_2"], 7080 ["2^2.L3(4).3.2_3","2^2.l3(4).3.2_3"], 7081 ["2^2.L3(4).6","2^2.l3(4).6"], 7082 ["2^2.L3(4).D12","2^2.l3(4).d12","he.2m3"], 7083 ["2^2.L3(4)M4","2^2.l3(4)m4"], 7084 ["2^2.L3(4)M5","2^2.l3(4)m5"], 7085 ["2^2.L3(4)M7","2^2.l3(4)m7"], 7086 ["2^2.L3(4)M8","2^2.l3(4)m8"], 7087 ["2^2.O8+(2)","2^2.o8+(2)"], 7088 ["2^2.O8+(2).2","2^2.o8+(2).2"], 7089 ["2^2.O8+(2).3","2^2.o8+(2).3"], 7090 ["2^2.O8+(2).3.2","2^2.o8+(2).3.2"], 7091 ["2^2.O8+(2)M11","2^2.o8+(2)m11"], 7092 ["2^2.O8+(2)M12","2^2.o8+(2)m12"], 7093 ["2^2.O8+(2)M16","2^2.o8+(2)m16"], 7094 ["2^2.O8+(2)M17","2^2.o8+(2)m17"], 7095 ["2^2.O8+(2)M2","2^2.o8+(2)m2"], 7096 ["2^2.O8+(2)M3","2^2.o8+(2)m3"], 7097 ["2^2.O8+(2)M5","2^2.o8+(2)m5"], 7098 ["2^2.O8+(2)M6","2^2.o8+(2)m6"], 7099 ["2^2.O8+(2)M8","2^2.o8+(2)m8"], 7100 ["2^2.O8+(2)M9","2^2.o8+(2)m9"], 7101 ["2^2.O8+(3)","2^2.o8+(3)"], 7102 ["2^2.O8+(3).3","2^2.o8+(3).3"], 7103 ["2^2.S6","2^2.l3(4).2_2m4","2^2.s6"], 7104 ["2^2.Sz(8)","2^2.sz(8)"], 7105 ["2^2.Sz(8).3","2^2.sz(8).3"], 7106 ["2^2.U4(3).(2^2)_{122}","2^2.u4(3).(2^2)_{122}"], 7107 ["2^2.U6(2)","2^2.u6(2)","v4.u6(2)"], 7108 ["2^2.U6(2).2","2^2.u6(2).2","fi23c2b","fi23m3","fi23n2b"], 7109 ["2^2.U6(2).3","2^2.u6(2).3","v4.u6(2).3"], 7110 ["2^2.U6(2).3.2","2^2.u6(2).3.2","2^2.u6(2):s3","f3+m8"], 7111 ["2^2.U6(2):S3x2","2^2.u6(2):s3x2","f3+.2m9"], 7112 ["2^2.U6(2)M10","2^2.u6(2)m10"], 7113 ["2^2.U6(2)M12","2^2.u6(2)m12"], 7114 ["2^2.U6(2)M13","2^2.u6(2)m13"], 7115 ["2^2.U6(2)M3","2^2.u6(2)m3"], 7116 ["2^2.U6(2)M5","2^2.u6(2)m5"], 7117 ["2^2.U6(2)M6","2^2.u6(2)m6"], 7118 ["2^2.U6(2)M9","2^2.u6(2)m9"], 7119 ["2^2.[2^6].(S3xS3)","2.s6(2)m6","2^2.[2^6].(s3xs3)"], 7120 ["2^2.[2^9]:S3","2^2.[2^9]:s3","2f4(2)'.2m4"], 7121 ["2^2.psl(3,4).s3","2^2.psl(3,4).s3","hem2"], 7122 ["2^24.Co1","2^24.co1"], 7123 ["2^2:S4","2^2:s4"], 7124 ["2^2x13:4","2^2.sz(8)m2","2^2x13:4"], 7125 ["2^2x3xS3xU4(2)","(2^2x3).u6(2)m14","2^2x3xs3xu4(2)"], 7126 ["2^2x3xS6(2)","(2^2x3).u6(2)m8","2^2x3xs6(2)"], 7127 ["2^2x3xU5(2)","(2^2x3).u6(2)m1","2^2x3xu5(2)"], 7128 ["2^2xA6","2^2.l3(4)m3","2^2xa6"], 7129 ["2^2xD14","2^2.sz(8)m4","2^2xd14"], 7130 ["2^2xF4(2)","2^2xf4(2)"], 7131 ["2^2xL2(7)","2^2.l3(4)m6","2^2xl2(7)"], 7132 ["2^2xS3xU4(2)","2^2.u6(2)m14","2^2xs3xu4(2)"], 7133 ["2^2xS6(2)","2^2.u6(2)m8","2^2xs6(2)"], 7134 ["2^2xU5(2)","2^2.u6(2)m1","2^2xu5(2)"], 7135 ["2^3","2^3"], 7136 ["2^3+8:L3(2)","2^3+8:l3(2)","rum4"], 7137 ["2^3.2^2.2^6.(3xL3(2))","2^3.2^2.2^6.(3xl3(2))","hnm9"], 7138 ["2^3.2^2.2^6.(S3xL3(2))","2^3.2^2.2^6.(s3xl3(2))","hn.2m10"], 7139 ["2^3.7.3","2^3.7.3","j1m2","j1n2"], 7140 ["2^3.D8","2^3.d8"], 7141 ["2^3.L3(2)","2^3.l3(2)","g2(3)m8","g2(5)m7"], 7142 ["2^3.L3(2):2","2^3.l3(2):2","g2(3).2m4"], 7143 ["2^3.S3","2^3.s3"], 7144 ["2^3.S4v1","2^3.s4v1"], 7145 ["2^3.S4v2","2^3.s4v2"], 7146 ["2^3:7","2^3:7"], 7147 ["2^3:sl(3,2)","2^3:sl(3,2)","a8m2","a8m3","m22m6"], 7148 ["2^4+6:3a6","2^4+6:3a6","suzm7"], 7149 ["2^4.(S4x2)","2^4.(s4x2)"], 7150 ["2^4.a8","2^4.a8","co3m9"], 7151 ["2^4.s6","2^4.s6","hsm6","u4(3).2_1m9"], 7152 ["2^4:(3x3):2","2^4:(3x3):2"], 7153 ["2^4:(3xA5).2","2^4:(3xa5).2","2^4:(3xa5):2","j3.2m3","m23m6"], 7154 ["2^4:(S3xS3)","2^4:(s3xs3)","a8m5","mo61p"], 7155 ["2^4:3.S6","2^4:3.s6","3.m22.2m3"], 7156 ["2^4:3^2:4","2^4:3^2:4"], 7157 ["2^4:A5","2^4:a5","l3(4)m1","l3(4)m2","m20"], 7158 ["2^4:D8","2^4:d8","m22n2","m23n2"], 7159 ["2^4:a6","2^4.a6","2^4:a6","m22m2","u4(3)m8"], 7160 ["2^4:a7","2^4:a7","m23m3","mclm9"], 7161 ["2^4:a8","2^4:a8","l5(2)m1","l5(2)m2","m24m3"], 7162 ["2^4:s5","2^4:s5","m22m5"], 7163 ["2^5.S6","2^5.s6","hs.2m5"], 7164 ["2^5.psl(5,2)","2^5.l5(2)","2^5.psl(5,2)","thm2"], 7165 ["2^5:L5(2)","2^5:l5(2)","l6(2)m1","l6(2)m2"], 7166 ["2^5:S6","2.m22.2m3","2^5:s6","a12c2b","a12m10","a12n2b","s6(2)c2a", 7167 "s6(2)m3","s6(2)n2a"], 7168 ["2^6.U4(2)","2^6.u4(2)","hnm7"], 7169 ["2^6.U4(2).2","2^6.u4(2).2","hn.2m8"], 7170 ["2^6:(3xA5)","2^2.l3(4).3m2","2^2.l3(4).3m3","2^6:(3xa5)","s4(4)m1"], 7171 ["2^6:(3xA5):2","2^2.psl(3,4).s3m3","2^2.psl(3,4).s3m4","2^6:(3xa5):2", 7172 "s4(4).2m2"], 7173 ["2^6:(7xL2(8))","2^6:(7xl2(8))","l3(8)m1","l3(8)m2"], 7174 ["2^6:(psl(3,2)xs3)","2^6:(psl(3,2)xs3)","l5(2)m3","l5(2)m4","m24m7"], 7175 ["2^6:3.s6","2^6:3.s6","hem3","hem4","m24m5"], 7176 ["2^6:3A7","2^6:3a7","3.o7(3)m13"], 7177 ["2^6:3^(1+2).D8","2^6:3^(1+2).d8"], 7178 ["2^6:3^3:S4","2^6:3^3:s4","a12m9"], 7179 ["2^6:A7","2^6:a7","o7(3)m13"], 7180 ["2^6:A8","2^6:a8","o8+(2)m4"], 7181 ["2^6:L3(2)","2^6:l3(2)","s6(2)m5"], 7182 ["2^6:L6(2)","2^6:l6(2)","l7(2)m1","p1l72"], 7183 ["2^6:S5","2.m22.2m4","2^6:s5"], 7184 ["2^6:S6","2^6:s6","a12.2m9"], 7185 ["2^6:S8","2^6:s8"], 7186 ["2^6:U4(2)","2^6:u4(2)","o8-(2)m1"], 7187 ["2^6:U4(2).2","2^6:o6f2","2^6:u4(2).2","o8-(2).2m2"], 7188 ["2^6:s6f2","2^6:s6(2)","2^6:s6f2","f22m6","fi22m6"], 7189 ["2^6:u3(3)","2^6:u3(3)"], 7190 ["2^6:u3(3):2","2^6:u3(3):2","rum2"], 7191 ["2^7:S6(2)","2^6:s6f2.2","2^7:s6(2)","2^7:s6f2","fi22.2m5"], 7192 ["2^8.A9","2^8.a9"], 7193 ["2^8:O8+(2)","2^8:o8+(2)","o10+(2)m2"], 7194 ["2^8:O8+(2):2","2^8:o8+(2):2","o10+(2).2m3"], 7195 ["2^8:O8-(2)","2^8.o8-(2)","2^8:o8-(2)","o10-(2)m1"], 7196 ["2^8:O8-(2):2","2^8:o8-(2):2","o10-(2).2m2"], 7197 ["2^8:S6(2)","2^8:s6(2)"], 7198 ["2^8:S8","2^8:s8"], 7199 ["2^8:S8(2)","2^8:s8(2)"], 7200 ["2^9.L3(4)","2^9.l3(4)","2^9:l3(4)","u6(2)m3"], 7201 ["2^{1+4}_-:2A5","2.j2m3","2^{1+4}_-:2a5"], 7202 ["2^{1+6}:3^{1+2}:2A4","2^{1+6}:3^{1+2}:2a4","u5(2)c2a","u5(2)m1","u5(2)n2a" 7203 ], 7204 ["2^{1+8}_+:(S3xA5)","2^{1+8}_+:(s3xa5)","o8-(2)m4"], 7205 ["2^{3+4}:(3xS3)","2.j2m4","2^{3+4}:(3xs3)"], 7206 ["2^{3+6}:(L3(2)x3)","2^{3+6}:(l3(2)x3)","o8-(2)m3"], 7207 ["2x(3.A7)","2x(3.a7)","6.m22m3","6.m22m4"], 7208 ["2x(3^2.QD16)","2x(3^2.qd16)","hsn3"], 7209 ["2x(3x2.U4(2)):2","2^2.o8+(2)m10","2x(3x2.u4(2)):2"], 7210 ["2x(3xU4(2)):2","2.o8+(2)m10","2x(3xu4(2)):2"], 7211 ["2x11:5","2.l2(11)m3","2x11:5","co3n11"], 7212 ["2x13:4","2.sz(8)m2","2x13:4"], 7213 ["2x19:9","2.l2(19)m1","2x19:9"], 7214 ["2x2.A9","2^2.o8+(2)m7","2x2.a9"], 7215 ["2x2.F4(2)","2^2.2e6(2)m3","2x2.f4(2)"], 7216 ["2x2.Fi22","2^2.2e6(2)m7","2x2.fi22"], 7217 ["2x2.M22","2^2.u6(2)m11","2x2.m22"], 7218 ["2x2.S6(2)","2^2.o8+(2)m1","2x2.s6(2)"], 7219 ["2x2.U4(3).2_2","2^2.u6(2)m4","2x2.u4(3).2_2"], 7220 ["2x23:11","2.l2(23)m1","2x23:11"], 7221 ["2x2^3:L3(2)","2.m22m6","2^3:l3(2)x2","2x2^3:l3(2)","m22.2c2b","m22.2m5", 7222 "m22.2n2b"], 7223 ["2x2^3:L3(2)x2","2.m22.2m5","2x2^3:l3(2)x2"], 7224 ["2x3.(3^(3+3):L3(3))","2x3.(3^(3+3):l3(3))","6.o7(3)m6"], 7225 ["2x3.A6","2x3.a6"], 7226 ["2x3.Fi22","2x3.fi22","6.2e6(2)m7"], 7227 ["2x3.Fi22N3","2x3.fi22n3","6.fi22n3"], 7228 ["2x3.G2(3)","2x3.g2(3)","6.o7(3)m4"], 7229 ["2x3.M22","2x3.m22","6.u6(2)m11"], 7230 ["2x3.O7(3)","2x3.o7(3)","6.fi22m2"], 7231 ["2x31:15","2.l2(31)m1","2x31:15"], 7232 ["2x3^(1+2)+:2A4","2.u4(2)m3","2x3^(1+2)+:2a4"], 7233 ["2x3^(1+2)_+:2S4","2.u4(2).2m5","2x3^(1+2)_+:2s4"], 7234 ["2x3^(3+3):L3(3)","2.o7(3)m6","2x3^(3+3):l3(3)"], 7235 ["2x3^2.2.S4","2.m12m6","2x3^2.2.s4","l3(4).d12m6"], 7236 ["2x3^2:2A4","2.a9m8","2x3^2:2a4"], 7237 ["2x3^3:13","2.l2(27)m1","2x3^3:13"], 7238 ["2x3^4:A6","2.u4(3)m1","2x3^4:a6"], 7239 ["2x3^5:M11","2.suzm5","2x3^5:m11"], 7240 ["2x3^6.M11","2x3^6.m11","6.suzm5"], 7241 ["2x3_1.U4(3).2_2","2x3_1.u4(3).2_2","6.u6(2)m4"], 7242 ["2x47:23","2.bm30","2x47:23","mn47"], 7243 ["2x5:4","2.sz(8)m3","2x5:4","m12n5"], 7244 ["2x5^(1+2):GL2(5)","2.co1m19","2x5^(1+2):gl2(5)"], 7245 ["2x5^2:4S5","2.rum10","2x5^2:4s5"], 7246 ["2x6.Fi22","(2^2x3).2e6(2)m7","2x6.fi22"], 7247 ["2x6.M22","(2^2x3).u6(2)m11","2x6.m22"], 7248 ["2x6_1.U4(3).2_2","(2^2x3).u6(2)m4","2x6_1.u4(3).2_2"], 7249 ["2x7:3","2.l3(2)m3","2x7:3","m23n7","mcln7"], 7250 ["2xA5","2xa5","j1c2a","j1m3","j1n2a","l2(16).2c2b","l2(16).2n2b", 7251 "l3(4).2_3c2b","l3(4).2_3n2b"], 7252 ["2xA6","2.l3(4)m3","2xa6"], 7253 ["2xA7","2.m22m3","2.m22m4","2xa7"], 7254 ["2xA8","2.rum8","2xa8"], 7255 ["2xA9","2.o8+(2)m7","2xa9"], 7256 ["2xBN5","2.bn5","2xbn5"], 7257 ["2xCo1N3","2.co1n3","2xco1n3"], 7258 ["2xCo1N5","2.co1n5","2xco1n5"], 7259 ["2xCo1N7","2.co1n7","2xco1n7"], 7260 ["2xF4(2)","2.2e6(2)m3","2xf4(2)"], 7261 ["2xF4(2).2","2xf4(2).2"], 7262 ["2xFi22","2.2e6(2)m7","2xfi22"], 7263 ["2xFi22.2","2xfi22.2"], 7264 ["2xFi22N3","2.fi22n3","2xfi22n3"], 7265 ["2xFi22N5","2.fi22n5","2xfi22n5","fi23n5"], 7266 ["2xFi23","2.bm3","2xfi23","f3+.2m2"], 7267 ["2xG2(3)","2.o7(3)m4","2xg2(3)"], 7268 ["2xL2(11)","2.m22m8","2xl2(11)"], 7269 ["2xL2(11).2","2.m12.2m2","2.m22.2m7","2xl2(11).2"], 7270 ["2xL3(2)","2.l3(4)m6","2xl3(2)"], 7271 ["2xM11","2.a11m6","2.bm26","2.hsm8","2.m12m1","2xm11","mcl.2c2b","mcl.2m8", 7272 "mcl.2n2b"], 7273 ["2xM12N3","2.m12n3","2xm12n3"], 7274 ["2xM22","2.u6(2)m11","2xm22"], 7275 ["2xO7(3)","2.fi22m2","2xo7(3)"], 7276 ["2xS3x2.U4(3).2_2","2xs3x2.u4(3).2_2"], 7277 ["2xS3xU4(2)","2.u6(2)m14","2xs3xu4(2)"], 7278 ["2xS3xU4(3).(2^2)_{122}","2xs3xu4(3).(2^2)_{122}"], 7279 ["2xS3xU4(3).2_2","2xs3xu4(3).2_2"], 7280 ["2xS5","2xs5","a7.2c2b","a7.2m3","a7.2n2b","l2(25).2_2c2b","l2(25).2_2n2b", 7281 "l3(4).2^2c2d","l3(4).2^2n2d","m12c2a","m12m8","m12n2a"], 7282 ["2xS6(2)","2.o8+(2)m1","2.u6(2)m8","2xs6(2)","o8+(2).2m2","w(e7)"], 7283 ["2xSymm(4)","2xsymm(4)","a6.2_1c2b","a6.2_1m5"], 7284 ["2xTh","2.bm5","2xth"], 7285 ["2xU3(3)","2.j2m1","2xu3(3)","u4(3).2_1c2b","u4(3).2_1m8","u4(3).2_1n2b"], 7286 ["2xU3(3).2","2.s6(2)m4","2xu3(3).2","s6(3)c2b","s6(3)m7","s6(3)n2b", 7287 "u4(3).(2^2)_{133}m8"], 7288 ["2xU3(5).2","2.rum5","2xu3(5).2"], 7289 ["2xU4(3).(2^2)_{122}","2xu4(3).(2^2)_{122}"], 7290 ["2xU4(3).2_2","2.u6(2)m4","2xu4(3).2_2"], 7291 ["2xU5(2)","2.suzm3","2.u6(2)m1","2xu5(2)"], 7292 ["2xa6.2^2","2xa6.2^2","hsc2b","hsm11","hsn2b","u4(3).(2^2)_{133}m10"], 7293 ["2xm12","2xm12","co3c2b","co3m11","co3n2b"], 7294 ["3.(2x2^(1+8)):(U4(2):2x2)","3.(2x2^(1+8)):(u4(2):2x2)"], 7295 ["3.(3^(1+2)+x3^2):2S4","3.(3^(1+2)+x3^2):2s4","3.g2(3)m3"], 7296 ["3.(3^(1+4).[2^7.3])","3.(3^(1+4).[2^7.3])","3.u6(2)m15"], 7297 ["3.(3^(3+3):L3(3))","3.(3^(3+3):l3(3))","3.o7(3)m6"], 7298 ["3.(3xM10):2","3.(3xm10):2","3.j3.2m5","ndg(3.j3.2,3^2)"], 7299 ["3.(A4x2(A4xA4).2).2","3.(a4x2(a4xa4).2).2","3.o7(3)m15"], 7300 ["3.(A4x3):2","3.(a4x3):2","3.a7m5","3.l3(7)m6"], 7301 ["3.2E6(2)","3.2e6(2)"], 7302 ["3.2E6(2).2","3.2e6(2).2"], 7303 ["3.2E6(2)M4","3.2e6(2)m4"], 7304 ["3.2E6(2)M5","3.2e6(2)m5"], 7305 ["3.2E6(2)M8","3.2e6(2)m8"], 7306 ["3.2E6(2)M9","3.2e6(2)m9"], 7307 ["3.2^(1+12).3U4(3).2","3.2^(1+12).3u4(3).2","3.f3+n2b"], 7308 ["3.2^(1+4)+:3^2.2","3.2^(1+4)+:3^2.2","3.g2(3)m10"], 7309 ["3.2^(2+4):(3x3):2","3.2^(2+4):(3x3):2"], 7310 ["3.2^4:a7","3.2^4:a7","3.mclm9"], 7311 ["3.3^(1+4):2S5","3.3^(1+4):2s5","3.mclm5"], 7312 ["3.3^(1+4):4S5","3.3^(1+4):4s5","3.mcl.2m4"], 7313 ["3.3^(2+4):2(A4x2^2).2","3.3^(2+4):2(a4x2^2).2","3.suzm11"], 7314 ["3.3^(2+4):2(S4xD8)","3.3^(2+4):2(s4xd8)","3.suz.2m12"], 7315 ["3.3^4.3^2.Q8","3.3^4.3^2.q8","3.mcln3"], 7316 ["3.3^4:m10","3.3^4:m10","3.mclm6"], 7317 ["3.3^5.U4(2)","3.3^5.u4(2)"], 7318 ["3.3^5:U4(2):2","3.3^5:u4(2):2","3.o7(3)m2"], 7319 ["3.A6","3.a1(9)","3.a6","3.a7m1","3.c2(2)'","3.l2(9)","3.l3(4)m3","3.o3(9)", 7320 "3.o4-(3)","3.o5(2)'","3.s2(9)","3.s4(2)'","3.u2(9)"], 7321 ["3.A6.(2x4)","2.rum11","3.a6.(2x4)"], 7322 ["3.A6.2^2","3.a6.2^2","3.a6.v4","j2.2m3","j2.2n3a","rum11","run3a"], 7323 ["3.A6.2_1","3.a6.2_1"], 7324 ["3.A6.2_2","3.a6.2_2","3.pgl(2,9)","j2m2","j2n3a"], 7325 ["3.A6.2_3","3.a6.2_3","3.m22m7","3.u3(5)m5"], 7326 ["3.A6M2","3.a6m2"], 7327 ["3.A6M5","3.a6m5"], 7328 ["3.A7","3.a7","3.m22m3","3.m22m4","3.suzm17","3.u3(5)m1"], 7329 ["3.A7.2","3.a7.2","3.s7","3.suz.2m16","hem7","hen3a"], 7330 ["3.F3+","3.f3+","3.fi24'"], 7331 ["3.F3+.2","3.f3+.2","3.fi24","3.fi24'.2","mm3","mn3a"], 7332 ["3.F3+.2N5","3.f3+.2n5"], 7333 ["3.F3+.2N7","3.f3+.2n7"], 7334 ["3.F3+N5","3.f3+n5"], 7335 ["3.Fi22","3.2e6(2)m7","3.fi22"], 7336 ["3.Fi22.2","3.fi22.2"], 7337 ["3.Fi22M5","3.fi22m5"], 7338 ["3.Fi22N3","3.fi22n3"], 7339 ["3.G2(3)","3.g2(3)","3.o7(3)m4"], 7340 ["3.G2(3).2","3.g2(3).2"], 7341 ["3.G2(3)M2","3.g2(3)m2"], 7342 ["3.G2(3)M4","3.g2(3)m4"], 7343 ["3.G2(3)M6","3.g2(3)m6"], 7344 ["3.J3","3.j3","3.j3.2m1"], 7345 ["3.J3.2","3.j3.2"], 7346 ["3.L3(4)","3.l3(4)","3.m22m1"], 7347 ["3.L3(4).2^2","3.l3(4).2^2","3.l3(4).v4"], 7348 ["3.L3(4).2_1","3.l3(4).2_1","3.u6(2)m16"], 7349 ["3.L3(4).2_2","3.l3(4).2_2"], 7350 ["3.L3(4).2_3","3.l3(4).2_3","g2(4)m5","g2(4)n3a"], 7351 ["3.L3(4).3","3.l3(4).3"], 7352 ["3.L3(4).3.2_2","3.l3(4).3.2_2","l6(2)m7"], 7353 ["3.L3(4).6","3.l3(4).6"], 7354 ["3.L3(4)M4","3.l3(4)m4"], 7355 ["3.L3(4)M5","3.l3(4)m5"], 7356 ["3.L3(4)M7","3.l3(4)m7"], 7357 ["3.L3(4)M8","3.l3(4)m8"], 7358 ["3.L3(7)","3.l3(7)"], 7359 ["3.L3(7).2","3.l3(7).2"], 7360 ["3.L3(7).3","3.l3(7).3"], 7361 ["3.L3(7).S3","3.l3(7).s3"], 7362 ["3.L3(7)M2","3.l3(7)m2"], 7363 ["3.L3(7)M4","3.l3(7)m4"], 7364 ["3.L3(7)M5","3.l3(7)m5"], 7365 ["3.M22","3.m22","3.mclm2","3.u6(2)m11"], 7366 ["3.M22.2","3.m22.2"], 7367 ["3.M22M2","3.m22m2"], 7368 ["3.McL","3.mcl"], 7369 ["3.McL.2","3.mcl.2","lym2","lyn3a"], 7370 ["3.McL.2N3","3.mcl.2n3"], 7371 ["3.McL.2N5","3.mcl.2n5"], 7372 ["3.McLM10","3.mclm10"], 7373 ["3.McLM3","3.mclm3"], 7374 ["3.O7(3)","3.o7(3)"], 7375 ["3.O7(3).2","3.o7(3).2"], 7376 ["3.O7(3)M11","3.o7(3)m11"], 7377 ["3.O7(3)M5","3.o7(3)m5"], 7378 ["3.O7(3)M8","3.o7(3)m8"], 7379 ["3.O7(3)M9","3.o7(3)m9"], 7380 ["3.ON","3.o'n","3.on","3.on.2m1"], 7381 ["3.ON.2","3.o'n.2","3.on.2"], 7382 ["3.ON.2M4","3.on.2m4"], 7383 ["3.ON.2N3","3.on.2n3"], 7384 ["3.ON.2N7","3.on.2n7"], 7385 ["3.ONM5","3.onm5"], 7386 ["3.ONM6","3.onm6","3.onn3"], 7387 ["3.Suz","3.suz","3.suz.2m1"], 7388 ["3.Suz.2","3.suz.2","co1m2","co1n3a"], 7389 ["3.U3(11)","3.u3(11)"], 7390 ["3.U3(11).2","3.u3(11).2"], 7391 ["3.U3(11).3","3.u3(11).3"], 7392 ["3.U3(11).S3","3.u3(11).s3"], 7393 ["3.U3(5)","3.mclm4","3.u3(5)"], 7394 ["3.U3(5).2","3.u3(5).2","g2(5)m3","g2(5)n3a"], 7395 ["3.U3(5).3","3.u3(5).3"], 7396 ["3.U3(5).S3","3.u3(5).s3"], 7397 ["3.U3(5)M2","3.u3(5)m2"], 7398 ["3.U3(5)M3","3.u3(5)m3"], 7399 ["3.U3(5)M6","3.u3(5)m6"], 7400 ["3.U3(5)M7","3.u3(5)m7"], 7401 ["3.U3(8)","3.u3(8)","u3q8a"], 7402 ["3.U3(8).2","3.u3(8).2"], 7403 ["3.U3(8).3_1","3.u3(8).3_1"], 7404 ["3.U3(8).3_2","3.u3(8).3_2"], 7405 ["3.U3(8).6","3.u3(8).6"], 7406 ["3.U3(8).S3","3.u3(8).s3"], 7407 ["3.U6(2)","3.u6(2)"], 7408 ["3.U6(2).2","3.u6(2).2"], 7409 ["3.U6(2).3","3.u6(2).3"], 7410 ["3.U6(2).3.2","3.u6(2).3.2","3.u6(2).s3","3.u6(2):s3"], 7411 ["3.U6(2)M10","3.u6(2)m10"], 7412 ["3.U6(2)M12","3.u6(2)m12"], 7413 ["3.U6(2)M13","3.u6(2)m13"], 7414 ["3.U6(2)M3","3.u6(2)m3"], 7415 ["3.U6(2)M5","3.u6(2)m5"], 7416 ["3.U6(2)M6","3.u6(2)m6"], 7417 ["3.U6(2)M9","3.u6(2)m9"], 7418 ["3.s7x2","3.s7x2","he.2m6"], 7419 ["31:15","31:15","bn31","l2(31)m1","onn31","thm15","thn31"], 7420 ["31:3","31:3","l3(5)m5"], 7421 ["31:30","31:30","on.2m8"], 7422 ["31:5","31:5","l5(2)m5"], 7423 ["37:12","37:12","j4m13","j4n37"], 7424 ["37:18","37:18","lym9","lyn37"], 7425 ["37:3","37:3","u3(11)m10"], 7426 ["3D4(2)","3d4(2)","3d4(2).3m1","st2"], 7427 ["3D4(2).3","3d4(2).3","st2.3","thm1"], 7428 ["3^(1+10):(2xU5(2):2)","3^(1+10):(2xu5(2):2)","f3+.2m7"], 7429 ["3^(1+10):U5(2):2","3^(1+10):u5(2).2","3^(1+10):u5(2):2","f3+m6","f3+n3b"], 7430 ["3^(1+12).2.Suz.2","3^(1+12).2.suz.2","3^(1+12):2.suz.2","mm7","mn3b"], 7431 ["3^(1+12):6.Suz.2","3^(1+12):6.suz.2"], 7432 ["3^(1+2)+.2S4","3^(1+2)+.2s4"], 7433 ["3^(1+2)+:2A4","3^(1+2)+:2a4","u4(2)m3"], 7434 ["3^(1+2)+:2S4","3^(1+2)+:2s4","u4(2).2m4"], 7435 ["3^(1+2):4","3.a6m3","3^(1+2):4"], 7436 ["3^(1+2):8","3^(1+2):8","3^1+2:8","j2n3","u3(3)m1"], 7437 ["3^(1+2):D8","3.a6.2_1n3","3.a7.2n3","3^(1+2):d8","hen3","m12.2m7","m24n3" 7438 ], 7439 ["3^(1+2):SD16","2f4(2)'.2m6","3^(1+2):sd16","run3","u3(3).2m2"], 7440 ["3^(1+2)_+","3^(1+2)_+"], 7441 ["3^(1+2)_+:2","3^(1+2)_+:2"], 7442 ["3^(1+2)_+:Q8","3.l3(4)m9","3.l3(4)n3","3.l3(7)m7","3.m22n3","3^(1+2)_+:q8" 7443 ], 7444 ["3^(1+4)+.2^(1+4)-.S3","3^(1+4)+.2^(1+4)-.s3","u4(3).(2^2)_{133}m7"], 7445 ["3^(1+4)+.4S4","3^(1+4)+.4s4","u4(3).2_1m7"], 7446 ["3^(1+4).2U4(2)","3^(1+4).2u4(2)","co1c3c","s6(3)m1"], 7447 ["3^(1+4).2U4(2).2","3^(1+4).2u4(2).2","3^(1+4):2u4(2):2","co1m13","co1n3c", 7448 "s6(3).2m1"], 7449 ["3^(1+4).2^(1+1+2+2).S3","3^(1+4).2^(1+1+2+2).s3","u6(2)m15"], 7450 ["3^(1+4):2S5","3^(1+4):2s5","3^1+4:2.s5","mclm5","mcln3a"], 7451 ["3^(1+4):4A5","3^(1+4):4a5","hnm14","hnn3b"], 7452 ["3^(1+4):4S4","3^(1+4):4s4","u4(3).2_3m5"], 7453 ["3^(1+4):4S5","3^(1+4):4s5","mcl.2m4","mcl.2n3a"], 7454 ["3^(1+4)_+.2S4","3^(1+4)_+.2s4","u4(3)m6"], 7455 ["3^(1+4)_+:(S3xQD16)","3^(1+4)_+:(s3xqd16)","co2n3"], 7456 ["3^(1+6):2^(3+4):3^2:2","3^(1+6):2^(3+4):3^2:2","fi22m11","fi22n3b"], 7457 ["3^(1+6)_+:2^(3+4):(S3xS3)","3^(1+6)_+:2^(3+4):(s3xs3)","fi22.2m11", 7458 "fi22.2n3b"], 7459 ["3^(1+8).2^(1+6).3^(1+2).2S4","3^(1+8).2^(1+6).3^(1+2).2s4","fi23m7", 7460 "fi23n3b"], 7461 ["3^(1+8).2^(1+6).U4(2).2","3^(1+8).2^(1+6).u4(2).2","bm13","bn3b"], 7462 ["3^(2+4):2(S4xD8)","3^(2+4):2(s4xd8)","suz.2m12"], 7463 ["3^(2+4):2A5.D8","3^(2+4):2a5.d8","lym7"], 7464 ["3^(2+4):80","3^(2+4):80","u3(9)m1"], 7465 ["3^(3+3):L3(3)","3^(3+3):l3(3)","o7(3)m6"], 7466 ["3^(3+4):2(S4xA4)","3^(3+4):2(s4xa4)","s6(3)m3"], 7467 ["3^(3+4):2(S4xS4)","3^(3+4):2(s4xs4)","co1m15"], 7468 ["3^(3+6):(L3(3)xD8)","3^(3+6):(l3(3)xd8)"], 7469 ["3^1+4:2^1+4.s5","3^1+4:2^1+4.s5","co2m10","co2n3a","gg"], 7470 ["3^1+4:4s6","3^1+4:4s6","co3m8","co3n3a"], 7471 ["3^12.6.Suz.2","3^12.6.suz.2"], 7472 ["3^2","3^2"], 7473 ["3^2+4:2(2^2xa4)2","3^2+4:2(2^2xa4)2","suzm11"], 7474 ["3^2.(3^(1+4)_+.2S4)","3^2.(3^(1+4)_+.2s4)","3^2.u4(3)m6"], 7475 ["3^2.(3^4:A6)","3^2.(3^4:a6)","3^2.u4(3)m1"], 7476 ["3^2.(3x3^(1+2)+):D8","3^2.(3x3^(1+2)+):d8","g2(3).2m2"], 7477 ["3^2.2.S4","3^2.2.s4","a9.2m7","l3(3)m1","l3(3)m2","m12hut","m12m6","m9:s3", 7478 "u3(5).3.2m6"], 7479 ["3^2.3^(1+2):8","3^2.3^(1+2):8","j3m7","j3n3"], 7480 ["3^2.3^(1+2):8.2","3^2.3^(1+2):8.2","j3.2m6"], 7481 ["3^2.3^3.3^6.(S4x2S4)","3^2.3^3.3^6.(s4x2s4)","bm17"], 7482 ["3^2.3^4.3^8.(A5x2A4).2","3^2.3^4.3^8.(a5x2a4).2","f3+m11"], 7483 ["3^2.3^4.3^8.(S5x2S4)","3^2.3^4.3^8.(s5x2s4)","f3+.2m12"], 7484 ["3^2.U4(3)","3^2.u4(3)"], 7485 ["3^2.U4(3).(2^2)_{133}","3.suz.2m3","3^2.u4(3).(2^2)_{133}"], 7486 ["3^2.U4(3).2_3'","3.suzm2","3.suzn3c","3^2.u4(3).2_3'"], 7487 ["3^2.U4(3).D8","3^2.u4(3).d8","co1m10"], 7488 ["3^2:2","3^2:2"], 7489 ["3^2:2A4","3^2:2a4","a9m8","u3(5).3m4","u3(8)m3"], 7490 ["3^2:4","3^2:4","a6m3"], 7491 ["3^2:8","2.a6m3","3^2:8"], 7492 ["3^2:Q8","3^2:q8","l3(4)m9","l3(4)n3","l3(7)m7","m22n3","u3(11)m11"], 7493 ["3^2:Q8.2","3^2:q8.2","3^2:sd16","m11m3","m11n3","m23n3"], 7494 ["3^3.3^(1+2):8","3.j3m7","3.j3n3","3^3.3^(1+2):8"], 7495 ["3^3.3^(1+2):8.2","3.j3.2m6","3.j3.2n3","3^3.3^(1+2):8.2"], 7496 ["3^3.S4","3^3.s4","a9m7"], 7497 ["3^3.[3^10].(L3(3)x2^2)","3^3.[3^10].(l3(3)x2^2)","f3+.2m11"], 7498 ["3^3.[3^10].GL3(3)","3^3.[3^10].gl3(3)","f3+m10"], 7499 ["3^3:13","3^3:13","l2(27)m1"], 7500 ["3^3:A4","3^3:a4"], 7501 ["3^3:L3(3)","3^3:l3(3)","l4(3)m1","l4(3)m2"], 7502 ["3^3:S4`","3^3:s4`","u4(2)m4"], 7503 ["3^4.2U4(2)","3^4.2u4(2)"], 7504 ["3^4.2U4(2).2","3^4.2u4(2).2"], 7505 ["3^4.3^2.Q8","3^4.3^2.q8"], 7506 ["3^4:(2xA5)","3^4:(2xa5)"], 7507 ["3^4:(2xA6)","3^4:(2xa6)","u4(3).2_1m2"], 7508 ["3^4:(3^2:Q8)","3^4:(3^2:q8)","mcln3"], 7509 ["3^4:(M10x2)","3^4:(m10x2)","mcl.2m5","u4(3).(2^2)_{133}m4"], 7510 ["3^4:2(A4xA4).2","3^4:2(a4xa4).2","l4(3)m5"], 7511 ["3^4:2(A4xA4).4","3^4:2(a4xa4).4","hnm13"], 7512 ["3^4:2(S4xS4).2","3^4:2(s4xs4).2","hn.2m12"], 7513 ["3^4:2.A6","3^4:2.a6"], 7514 ["3^4:2^(1+4).(5:4)","3^4:2^(1+4).(5:4)","on.2m5","on.2n3"], 7515 ["3^4:2^(1+4)D10","3^4:2^(1+4)d10","onm6","onn3"], 7516 ["3^4:2^3.S4","3^4:2^3.s4","a12m11"], 7517 ["3^4:2^3.S4(a)","3^4:2^3.s4(a)","o8+(2)m14"], 7518 ["3^4:A6","3^4.a6","3^4:a6","u4(3)m1"], 7519 ["3^4:GL2(9)","3^4:gl2(9)","l3(9)m1","l3(9)m2"], 7520 ["3^4:S5","3^4:s5","u5(2)m4"], 7521 ["3^4:m10","3^4:m10","mclm6","u4(3).2_3m2"], 7522 ["3^5.U4(2)","3^5.u4(2)"], 7523 ["3^5:(2xU4(2).2)","3^5:(2xu4(2).2)","fi22.2m10"], 7524 ["3^5:(2xm11)","3^5:(2xm11)","co3m5"], 7525 ["3^5:(3^2:SD16)","3^5:(3^2:sd16)","suzn3"], 7526 ["3^5:(M11x2)","3^5:(m11x2)","suz.2m6"], 7527 ["3^5:2S6","3^5:2s6","thm8","thn3c"], 7528 ["3^5:M11","3^5:m11","lyu1","suzm5"], 7529 ["3^5:U4(2)","3^5:u4(2)"], 7530 ["3^5:U4(2):2","3^5:u4(2):2","o7(3)m2"], 7531 ["3^6.L4(3).D8","3^6.l4(3).d8"], 7532 ["3^6.M11","3.suzm5","3^6.m11","3^6:m11"], 7533 ["3^6:(L4(3)x2)","3^6:(l4(3)x2)","o8+(3).2_1m4"], 7534 ["3^6:(M11x2)","3.suz.2m6","3^6:(m11x2)"], 7535 ["3^6:2M12","3^6:2.m12","3^6:2m12","co1m11"], 7536 ["3^6:2U4(3).2_1","3^6:2u4(3).2_1","o8-(3)m1"], 7537 ["3^6:L3(3)","3^6:l3(3)","s6(3)m2"], 7538 ["3^6:L4(3)","3^6.l4(3)","3^6:l4(3)","o8+(3)m7"], 7539 ["3^7.O7(3)","3^7.o7(3)","f3+m5"], 7540 ["3^7.O7(3):2","3^7.o7(3):2","f3+.2m6"], 7541 ["3^7:O7(3)","3^7:o7(3)"], 7542 ["3_1.U4(3)","3_1.u4(3)"], 7543 ["3_1.U4(3).(2^2)_{122}","3_1.u4(3).(2^2)_{122}"], 7544 ["3_1.U4(3).2_1","3_1.u4(3).2_1"], 7545 ["3_1.U4(3).2_2","3.u6(2)m4","3_1.u4(3).2_2"], 7546 ["3_1.U4(3).2_2'","3_1.u4(3).2_2'"], 7547 ["3_2.U4(3)","3.mclm1","3_2.u4(3)"], 7548 ["3_2.U4(3).(2^2)_{133}","3_2.u4(3).(2^2)_{133}","suz.2m3","suz.2n3a"], 7549 ["3_2.U4(3).2_1","3_2.u4(3).2_1"], 7550 ["3_2.U4(3).2_3","3_2.u4(3).2_3"], 7551 ["3_2.U4(3).2_3'","3.u4(3):2","3_2.u4(3).2_3'","suzm2","suzn3a"], 7552 ["3x(2^2xU4(2)):2","3.o7(3)m12","3x(2^2xu4(2)):2"], 7553 ["3x(2x2^(1+8)):U4(2):2","3x(2x2^(1+8)):u4(2):2"], 7554 ["3x(2xL3(3)).2","3x(2xl3(3)).2","6.suzm14","6.suzm15"], 7555 ["3x(3xA6):2_2","3.j3m6","3x(3xa6):2_2","ndg(3.j3,3^2)"], 7556 ["3x11:5","3.mcln11","3x11:5"], 7557 ["3x19:3","3.l3(7)m8","3x19:3"], 7558 ["3x2.(2^2xU4(2)).2","3x2.(2^2xu4(2)).2","6.o7(3)m12"], 7559 ["3x2.(2xL2(11))","12.m22m8","3x2.(2xl2(11))"], 7560 ["3x2.(S6xS4)","3x2.(s6xs4)","6.o7(3)m14"], 7561 ["3x2.2^(1+8)_+:U4(2)","3x2.2^(1+8)_+:u4(2)","6.u6(2)m2"], 7562 ["3x2.2^(4+8):(S3xA5)","3x2.2^(4+8):(s3xa5)","6.u6(2)m7"], 7563 ["3x2.A5","3x2.a5","6.a6m1"], 7564 ["3x2.A8","3.mclm8","3x2.a8"], 7565 ["3x2.F4(2)","3x2.f4(2)","6.2e6(2)m4"], 7566 ["3x2.Fi22.2","3x2.fi22.2"], 7567 ["3x2.G2(4)","3x2.g2(4)","6.suzm1"], 7568 ["3x2.J2.2","3x2.j2.2","6.suzm6"], 7569 ["3x2.J2.2N5","3x2.j2.2n5","6.suzn5"], 7570 ["3x2.L2(25)","3x2.l2(25)","6.suzm16"], 7571 ["3x2.L3(2)","3x2.l3(2)","6.a7m2","6.a7m3"], 7572 ["3x2.L4(3).2_2","3x2.l4(3).2_2","6.o7(3)m3"], 7573 ["3x2.M22M5","3x2.m22m5","6.m22m5"], 7574 ["3x2.S6(2)","3x2.s6(2)","6.o7(3)m7"], 7575 ["3x2.SuzM4","3x2.suzm4","6.suzm4"], 7576 ["3x2.SuzM7","3x2.suzm7","6.suzm7"], 7577 ["3x2.SuzM9","3x2.suzm9","6.suzm9"], 7578 ["3x2.Symm(4)","3x2.symm(4)","6.a6m4"], 7579 ["3x2.U4(3).(2^2)_{122}","3x2.u4(3).(2^2)_{122}"], 7580 ["3x2S5","3.u3(5)m8","3x2s5","u3(5).3m3"], 7581 ["3x2^(1+4)_-:A5","3.j3m8","3x2^(1+4)_-:a5"], 7582 ["3x2^(1+6)_-.U4(2)","3.suzm4","3x2^(1+6)_-.u4(2)"], 7583 ["3x2^(1+8)_+:U4(2)","3.u6(2)m2","3x2^(1+8)_+:u4(2)"], 7584 ["3x2^(2+4):(3xS3)","3.j3m9","3x2^(2+4):(3xs3)"], 7585 ["3x2^(2+8):(A5xS3)","3.suzm9","3x2^(2+8):(a5xs3)"], 7586 ["3x2^(4+6).3A6","3.suzm7","3x2^(4+6).3a6"], 7587 ["3x2^(4+8):(S3xA5)","3.u6(2)m7","3x2^(4+8):(s3xa5)"], 7588 ["3x2^2.2^(1+8)_+:U4(2)","(2^2x3).u6(2)m2","3x2^2.2^(1+8)_+:u4(2)"], 7589 ["3x2^2.2^(4+8):(S3xA5)","(2^2x3).u6(2)m7","3x2^2.2^(4+8):(s3xa5)"], 7590 ["3x2^3.L3(2)","3.g2(3)m8","3x2^3.l3(2)"], 7591 ["3x2^3:L3(2)","3.m22m6","3x2^3:l3(2)"], 7592 ["3x2^4:(3xA5)","3.j3m4","3x2^4:(3xa5)"], 7593 ["3x2^4:A5","3.l3(4)m1","3.l3(4)m2","3x2^4:a5"], 7594 ["3x2^4:s5","3.m22m5","3x2^4:s5"], 7595 ["3x2^5.A5","3x2^5.a5","6.l3(4)m1"], 7596 ["3x4.M22M5","12.m22m5","3x4.m22m5"], 7597 ["3x4.M22M6","12.m22m6","3x4.m22m6"], 7598 ["3x4.M22N2","12.m22n2","3x4.m22n2"], 7599 ["3x4_1.2^4:A5","12_1.l3(4)m1","3x4_1.2^4:a5"], 7600 ["3x4_2.2^4:A5","12_2.l3(4)m1","3x4_2.2^4:a5"], 7601 ["3x5^(1+2):3:8","3.mclm12","3.mcln5","3x5^(1+2):3:8","3xmcln5"], 7602 ["3x5^(1+2)_+:8","3.u3(5)m4","3x5^(1+2)_+:8"], 7603 ["3x5^2:(4xS3)","3.suzn5","3x5^2:(4xs3)"], 7604 ["3x7^2:2.L2(7).2","3.l3(7)m1","3x7^2:2.l2(7).2"], 7605 ["3xA5","3.a6m1","3xa5"], 7606 ["3xA5.2","3.a7m4","3xa5.2","3xs5"], 7607 ["3xF3+N7","3.f3+n7","3xf3+n7"], 7608 ["3xF4(2)","3.2e6(2)m3","3xf4(2)"], 7609 ["3xFi23","3.f3+m1","3xfi23"], 7610 ["3xG2(4)","3.suzm1","3xg2(4)"], 7611 ["3xIsoclinic(2.A5.2)","3xisoclinic(2.a5.2)","6.a7m4"], 7612 ["3xIsoclinic(2.A9.2)","3xisoclinic(2.a9.2)","6.o7(3)m10"], 7613 ["3xIsoclinic(2.M12.2)","3xisoclinic(2.m12.2)","6.suzm10"], 7614 ["3xJ2.2","3.suzm6","3xj2.2"], 7615 ["3xJ3N2","3.j3n2","3xj3n2"], 7616 ["3xL2(11)","3.m22m8","3xl2(11)"], 7617 ["3xL2(13)","3.g2(3)m9","3xl2(13)"], 7618 ["3xL2(25)","3.suzm16","3xl2(25)"], 7619 ["3xL2(8)","3xl2(8)","u3(8)m2"], 7620 ["3xL2(8).3","3.g2(3)m7","3xl2(8).3"], 7621 ["3xL3(2)","3.a7m2","3.a7m3","3.l3(4)m6","3xl3(2)"], 7622 ["3xL3(2).2","3.l3(7)m3","3xl3(2).2"], 7623 ["3xL3(3).2","3.g2(3)m5","3.suzm14","3.suzm15","3xl3(3).2"], 7624 ["3xL3(4).2_2","3.mclm7","3xl3(4).2_2"], 7625 ["3xL4(3).2_2","3.o7(3)m3","3xl4(3).2_2"], 7626 ["3xM11","3.mclm11","3xm11"], 7627 ["3xM12.2","3.suzm10","3xm12.2"], 7628 ["3xMcLN2","3.mcln2","3xmcln2"], 7629 ["3xO8+(2):S3","3.fi22m4","3xo8+(2):s3"], 7630 ["3xONN2","3.onn2","3xonn2"], 7631 ["3xONN7","3.onn7","3xonn7"], 7632 ["3xS3xU4(2)","3.u6(2)m14","3xs3xu4(2)"], 7633 ["3xS6(2)","3.o7(3)m7","3.u6(2)m8","3xs6(2)"], 7634 ["3xS6xS4","3.o7(3)m14","3xs6xs4"], 7635 ["3xS9","3.o7(3)m10","3xs9"], 7636 ["3xSymm(4)","3.a6m4","3xsymm(4)"], 7637 ["3xU3(3).2","3.g2(3)m1","3xu3(3).2"], 7638 ["3xU4(2)","3xu4(2)","u5(2)m2"], 7639 ["3xU5(2)","3.suzm3","3.u6(2)m1","3xu5(2)"], 7640 ["4(A4xA4).4","4(a4xa4).4","u4(3).2_1m11"], 7641 ["4.2^2","4.2^2"], 7642 ["4.2^4","4.2^4"], 7643 ["4.2^4.S5","4.2^4.s5","g","hsc2a","hsm10"], 7644 ["4.2^4:(2xS3)","4.2^4:(2xs3)"], 7645 ["4.2^4:S4","4.2^4:s4"], 7646 ["4.3^(1+4)_+.2S4","4.3^(1+4)_+.2s4","4.u4(3)m6"], 7647 ["4.A6.2_3","4.a6.2_3"], 7648 ["4.HS.2","4.hs.2","hn.2c2a","hn.2m3","hn.2n2a","hn.2n4d"], 7649 ["4.L2(25).2_3","4.l2(25).2_3"], 7650 ["4.L4(5)","4.l4(5)"], 7651 ["4.M22","4.m22"], 7652 ["4.M22.2","4.m22.2"], 7653 ["4.M22M2","4.m22m2"], 7654 ["4.M22M5","4.m22m5"], 7655 ["4.M22M6","4.m22m6"], 7656 ["4.M22N2","4.m22n2"], 7657 ["4.U4(3)","4.u4(3)"], 7658 ["4.U4(3).2_1","4.u4(3).2_1"], 7659 ["4.U4(3).2_2","2.o7(3)m1","4.u4(3).2_2"], 7660 ["4.U4(3).2_3","4.u4(3).2_3"], 7661 ["4.U4(3).4","4.u4(3).4"], 7662 ["4.s4","4.s4","u3(3)m3"], 7663 ["41:4","41:4","sz(32)m2"], 7664 ["41:40","41:40","mm44"], 7665 ["43:14","43:14","j4m12","j4n43"], 7666 ["43:3","43:3","u3(7)m5"], 7667 ["47:23","47:23","bm30"], 7668 ["4^2.L3(4)","4^2.l3(4)"], 7669 ["4^2:3","4^2:3"], 7670 ["4^2:D12","2^2+3.s3","4^2:d12","m12m10","u3(3).2m5"], 7671 ["4^2:D12.2","4^2:d12.2","m12.2m6"], 7672 ["4^2:s3","4^2:s3","l3(5)m4","u3(3)m4"], 7673 ["4^3.(L3(2)x2)","4^3.(l3(2)x2)","on.2m6"], 7674 ["4^3.D8","4^3.d8","onn2"], 7675 ["4^3.L3(2)","4^3.l3(2)","onm9"], 7676 ["4^3:(L3(2)x2)","4^3:(l3(2)x2)","hs.2m6"], 7677 ["4^3:S4","4^3:s4"], 7678 ["4^3:psl(3,2)","2^3+3:psl(3,2)","4^3:psl(3,2)","hsm7"], 7679 ["4_1.2^4:A5","4_1.2^4:a5","4_1.l3(4)m1"], 7680 ["4_1.L3(4)","4.m22m1","4_1.l3(4)"], 7681 ["4_1.L3(4).(2^2)_{1*2*3*}","4_1.l3(4).(2^2)_{1*2*3*}"], 7682 ["4_1.L3(4).(2^2)_{1*2*3}","4_1.l3(4).(2^2)_{1*2*3}"], 7683 ["4_1.L3(4).(2^2)_{1*23*}","4_1.l3(4).(2^2)_{1*23*}"], 7684 ["4_1.L3(4).(2^2)_{1*23}","4_1.l3(4).(2^2)_{1*23}"], 7685 ["4_1.L3(4).(2^2)_{12*3*}","4_1.l3(4).(2^2)_{12*3*}"], 7686 ["4_1.L3(4).(2^2)_{12*3}","4_1.l3(4).(2^2)_{12*3}"], 7687 ["4_1.L3(4).(2^2)_{123*}","4_1.l3(4).(2^2)_{123*}"], 7688 ["4_1.L3(4).(2^2)_{123}","4_1.l3(4).(2^2)_{123}"], 7689 ["4_1.L3(4).2_1","4_1.l3(4).2_1"], 7690 ["4_1.L3(4).2_2","4_1.l3(4).2_2"], 7691 ["4_1.L3(4).2_3","4_1.l3(4).2_3"], 7692 ["4_1.L3(4).2_3*","4_1.l3(4).2_3*"], 7693 ["4_2.2^4:A5","4_2.2^4:a5","4_2.l3(4)m1"], 7694 ["4_2.L3(4)","4_2.l3(4)"], 7695 ["4_2.L3(4).(2^2)_{1*2*3*}","4_2.l3(4).(2^2)_{1*2*3*}"], 7696 ["4_2.L3(4).(2^2)_{1*2*3}","4_2.l3(4).(2^2)_{1*2*3}"], 7697 ["4_2.L3(4).(2^2)_{1*23*}","4_2.l3(4).(2^2)_{1*23*}"], 7698 ["4_2.L3(4).(2^2)_{1*23}","4_2.l3(4).(2^2)_{1*23}"], 7699 ["4_2.L3(4).(2^2)_{12*3*}","4_2.l3(4).(2^2)_{12*3*}"], 7700 ["4_2.L3(4).(2^2)_{12*3}","4_2.l3(4).(2^2)_{12*3}","on.2m3"], 7701 ["4_2.L3(4).(2^2)_{123*}","4_2.l3(4).(2^2)_{123*}"], 7702 ["4_2.L3(4).(2^2)_{123}","4_2.l3(4).(2^2)_{123}"], 7703 ["4_2.L3(4).2_1","4_2.l3(4).2_1","onc2a","onm4","onn2a","onn4a"], 7704 ["4_2.L3(4).2_2","4_2.l3(4).2_2"], 7705 ["4_2.L3(4).2_2*","4_2.l3(4).2_2*"], 7706 ["4_2.L3(4).2_3","4_2.l3(4).2_3"], 7707 ["5:4","5:4","a5.2m3","m11n5","m22n5","sz(8)m3"], 7708 ["5:4x2.A5","2.hsm12","2.rum15","5:4x2.a5"], 7709 ["5:4x2^2","2^2.sz(8)m3","5:4x2^2"], 7710 ["5:4x3","5:4x3","sz(8).3m4"], 7711 ["5:4xA4","5:4xa4"], 7712 ["5:4xHS.2","5:4xhs.2","bm15"], 7713 ["5:4xS5","5:4xs5","hs.2m10"], 7714 ["5:4xU3(5):2","5:4xu3(5):2","hn.2m6"], 7715 ["5:4xa5","5:4xa5","hsm12","rum15"], 7716 ["5^(1+2)+:24","5^(1+2)+:24","u3(5).3m2"], 7717 ["5^(1+2)+:4A5","5^(1+2)+:4a5","s4(5)m1"], 7718 ["5^(1+2)+:8","5^(1+2)+:8","u3(5)m4"], 7719 ["5^(1+2):(24:2)","5^(1+2):(24:2)","co3n5","mcl.2m9","mcl.2n5","u3(5).3.2m3", 7720 "u3(5).3.2n5"], 7721 ["5^(1+2):(4x4):4","2.rum12","5^(1+2):(4x4):4"], 7722 ["5^(1+2):(8.2)","5^(1+2):(8.2)","5^(1+2):8:2","hsn5","u3(5).2m3", 7723 "u3(5).2n5"], 7724 ["5^(1+2):3:8","5^(1+2):3:8","mclm12","mcln5"], 7725 ["5^(1+2):4S4","5^(1+2):4s4","5^1+2:2s4","co2m11","co2n5","thm9","thn5"], 7726 ["5^(1+2):8:4","2.hsn5","5^(1+2):8:4"], 7727 ["5^(1+2):GL2(5)","5^(1+2):gl2(5)","a","co1m19","co1n5c"], 7728 ["5^(1+4).2^(1+4).A5.4","5^(1+4).2^(1+4).a5.4","bm21"], 7729 ["5^(1+4):2^(1+4).5.4","5^(1+4):2^(1+4).5.4","group4","hamax2","hnm6", 7730 "hnn5b"], 7731 ["5^(1+4):4.3^2:D8","5^(1+4):4.3^2:d8"], 7732 ["5^(1+4):4S6","5^(1+4).4s6","5^(1+4):4s6","lym5"], 7733 ["5^(1+4):GL(2,5)","5^(1+4):gl(2,5)","g2(5)m1"], 7734 ["5^(1+4)_+:(4Y2^(1+4)_-.5.4)","5^(1+4)_+:(4y2^(1+4)_-.5.4)","hn.2m7"], 7735 ["5^(1+6):2.J2.4","5^(1+6):2.j2.4","mm16"], 7736 ["5^(2+2+4):(S3xGL2(5))","5^(2+2+4):(s3xgl2(5))","mm22"], 7737 ["5^(3+3).(2xL3(5))","5^(3+3).(2xl3(5))","mm19"], 7738 ["5^1+2.2A4","5^1+2.2a4"], 7739 ["5^1+2:(2^5)","5^1+2:(2^5)","rum12","run5"], 7740 ["5^2.5.5^2.4A5","5^2.5.5^2.4a5","hnm10"], 7741 ["5^2.5.5^2.4S5","5^2.5.5^2.4s5","g2(5)m2","hn.2m11"], 7742 ["5^2:(4xS3)","5^2:(4xs3)","j2.2m9","j2.2n5","suzd3","suzn5"], 7743 ["5^2:12","5^2:12","l2(25)m1"], 7744 ["5^2:2A5","5^2:2a5","co1m22"], 7745 ["5^2:4A4","2f4(2)'m8","2f4(2)'n5","5^2:4a4","hem11","hen5","max"], 7746 ["5^2:4S4xS5","5^2:4s4xs5","bm23"], 7747 ["5^2:4s5","5^2:4s5","l3(5)m1","l3(5)m2","rum10","thm10"], 7748 ["5^2:D12","5^2:d12","j2m8","j2n5","u3(4).2m4"], 7749 ["5^2:S3","5^2:s3","u3(4)m3"], 7750 ["5^3.psl(3,5)","5^3.l3(5)","5^3.psl(3,5)","bm20","lym3"], 7751 ["5^3:(2xA5).2","5^3:(2xa5).2","s4(5)m2"], 7752 ["5^3:(4xA5).2","5^3:(4xa5).2","co1m20"], 7753 ["5^3:62","5^3:62","l2(125)m1"], 7754 ["5^4:(3x2.L2(25)).2","5^4:(3x2.l2(25)).2","mm28"], 7755 ["5xA5","5xa5","u3(4)m2"], 7756 ["5xIsoclinic(2.A6.2_2)","5xisoclinic(2.a6.2_2)","u3(9)m2"], 7757 ["6.(3^(1+4).[2^7.3])","6.(3^(1+4).[2^7.3])","6.u6(2)m15"], 7758 ["6.(3^5:U4(2):2)","6.(3^5:u4(2):2)","6.o7(3)m2"], 7759 ["6.(A4x2(A4xA4).2).2","6.(a4x2(a4xa4).2).2","6.o7(3)m15"], 7760 ["6.(A4x3).2","6.(a4x3).2","6.a7m5"], 7761 ["6.2E6(2)","6.2e6(2)"], 7762 ["6.2E6(2).2","6.2e6(2).2"], 7763 ["6.2E6(2)M5","6.2e6(2)m5"], 7764 ["6.2E6(2)M9","6.2e6(2)m9"], 7765 ["6.A6","6.a1(9)","6.a6","6.a7m1","6.c2(2)'","6.l2(9)","6.o3(9)","6.o4-(3)", 7766 "6.o5(2)'","6.s2(9)","6.s4(2)'","6.u2(9)"], 7767 ["6.A6.2_1","6.a6.2_1"], 7768 ["6.A6.2_2","6.a6.2_2"], 7769 ["6.A6M2","6.a6m2"], 7770 ["6.A6M3","6.a6m3","6.a6n3","6.a7n3"], 7771 ["6.A6M5","6.a6m5"], 7772 ["6.A6N2","6.a6n2","6.a7n2"], 7773 ["6.A7","6.a7","6.suzm17"], 7774 ["6.A7.2","6.a7.2"], 7775 ["6.Fi22","6.2e6(2)m8","6.fi22"], 7776 ["6.Fi22.2","6.fi22.2"], 7777 ["6.Fi22M3","6.fi22m3"], 7778 ["6.Fi22M5","6.fi22m5"], 7779 ["6.L3(4)","6.l3(4)","6.m22m1"], 7780 ["6.L3(4).(2^2)_{1*2*3*}","6.l3(4).(2^2)_{1*2*3*}"], 7781 ["6.L3(4).(2^2)_{1*2*3}","6.l3(4).(2^2)_{1*2*3}"], 7782 ["6.L3(4).(2^2)_{1*23*}","6.l3(4).(2^2)_{1*23*}"], 7783 ["6.L3(4).(2^2)_{1*23}","6.l3(4).(2^2)_{1*23}"], 7784 ["6.L3(4).(2^2)_{12*3*}","6.l3(4).(2^2)_{12*3*}"], 7785 ["6.L3(4).(2^2)_{12*3}","6.l3(4).(2^2)_{12*3}"], 7786 ["6.L3(4).(2^2)_{123*}","6.l3(4).(2^2)_{123*}"], 7787 ["6.L3(4).(2^2)_{123}","6.l3(4).(2^2)_{123}"], 7788 ["6.L3(4).2_1","6.l3(4).2_1","6.u6(2)m16"], 7789 ["6.L3(4).2_2","6.l3(4).2_2","6.m22.2m2"], 7790 ["6.L3(4).2_3","6.l3(4).2_3"], 7791 ["6.L3(4)M7","6.l3(4)m7"], 7792 ["6.L3(4)M8","6.l3(4)m8"], 7793 ["6.M22","6.m22","6.u6(2)m12"], 7794 ["6.M22.2","6.m22.2","j4n3a"], 7795 ["6.M22M2","6.m22m2"], 7796 ["6.M22M7","6.m22m7"], 7797 ["6.O7(3)","6.o7(3)"], 7798 ["6.O7(3).2","6.o7(3).2"], 7799 ["6.O7(3)M11","6.o7(3)m11"], 7800 ["6.O7(3)M5","6.o7(3)m5"], 7801 ["6.O7(3)M8","6.o7(3)m8"], 7802 ["6.O7(3)M9","6.o7(3)m9"], 7803 ["6.Suz","6.suz"], 7804 ["6.Suz.2","6.suz.2"], 7805 ["6.SuzM11","6.suzm11"], 7806 ["6.SuzM8","6.suzm8"], 7807 ["6.U6(2)","6.u6(2)"], 7808 ["6.U6(2).2","6.u6(2).2"], 7809 ["6.U6(2)M10","6.u6(2)m10"], 7810 ["6.U6(2)M13","6.u6(2)m13"], 7811 ["6.U6(2)M3","6.u6(2)m3"], 7812 ["6.U6(2)M6","6.u6(2)m6"], 7813 ["6.U6(2)M9","6.u6(2)m9"], 7814 ["67:22","67:22","lym8","lyn67"], 7815 ["6^2:D12","6^2:d12","u3(5).3.2m5"], 7816 ["6^2:S3","6^2:s3","u3(5).3m5"], 7817 ["6_1.U4(3)","6_1.u4(3)"], 7818 ["6_1.U4(3).2_1","6_1.u4(3).2_1"], 7819 ["6_1.U4(3).2_2","3.o7(3)m1","6.u6(2)m5","6_1.u4(3).2_2"], 7820 ["6_1.U4(3).2_2'","6_1.u4(3).2_2'"], 7821 ["6_2.U4(3)","6_2.u4(3)"], 7822 ["6_2.U4(3).2_1","6_2.u4(3).2_1"], 7823 ["6_2.U4(3).2_3","6_2.u4(3).2_3"], 7824 ["6_2.U4(3).2_3'","6_2.u4(3).2_3'"], 7825 ["6x2.F4(2)","(2^2x3).2e6(2)m3","6x2.f4(2)"], 7826 ["6x2^3:L3(2)","6.m22m6","6x2^3:l3(2)"], 7827 ["6x7:3","3.mcln7","6x7:3"], 7828 ["6xF4(2)","6.2e6(2)m3","6xf4(2)"], 7829 ["6xFi22N5","6.fi22n5","6xfi22n5"], 7830 ["6xL2(11)","6.m22m8","6xl2(11)"], 7831 ["6xL3(2)","6.l3(4)m6","6xl3(2)"], 7832 ["6xO8+(2):S3","6.fi22m4","6xo8+(2):s3"], 7833 ["6xS3xU4(2)","6.u6(2)m14","6xs3xu4(2)"], 7834 ["6xS6(2)","6.u6(2)m8","6xs6(2)"], 7835 ["6xU5(2)","6.suzm3","6.u6(2)m1","6xu5(2)"], 7836 ["73:3","73:3","l3(8)m4","u3(9)m5"], 7837 ["7:3","7:3","a7n7","l3(2)m3","l3(2)n7","m22n7","u3(3)n7"], 7838 ["7:3x3","7:3x3","u3(5).3m6"], 7839 ["7:3xS3","7:3xs3","m24n7"], 7840 ["7:3xS4","2^2.psl(3,4).s3m6","7:3xs4"], 7841 ["7:3xpsl(3,2)","7:3xpsl(3,2)","hem10"], 7842 ["7:6","7:6","a7.2m5","hsn7","j1m7","j1n7","j2n7","sz(8).3m5"], 7843 ["7:6xA5.2","7:6xa5.2","fi23n7"], 7844 ["7:6xA7","7:6xa7","f3+m20"], 7845 ["7:6xL3(2)","7:6xl3(2)","he.2m11"], 7846 ["7:6xS7","7:6xs7","f3+.2m19"], 7847 ["7^(1+2).Sp(2,7)","7^(1+2).sp(2,7)"], 7848 ["7^(1+2):(D8x3)","7^(1+2):(d8x3)","onn7"], 7849 ["7^(1+2):(S3x3)","7^(1+2):(s3x3)","hem8","hen7"], 7850 ["7^(1+2):(S3x6)","7^(1+2):(s3x6)","f3+n7","he.2m9","he.2n7","he.2n7c"], 7851 ["7^(1+2):48","7^(1+2):48","u3(7)m1"], 7852 ["7^(1+2)_+:(3xD16)","7^(1+2)_+:(3xd16)","on.2m7","on.2n7"], 7853 ["7^(1+2)_+:(6xS3).2","7^(1+2)_+:(6xs3).2","f3+.2m20","f3+.2n7"], 7854 ["7^(1+4):(3x2.S7)","7^(1+4):(3x2.s7)","mm24"], 7855 ["7^(2+1+2):GL2(7)","7^(2+1+2):gl2(7)","mm29"], 7856 ["7^1+2.6","7^1+2.6"], 7857 ["7^1+4.2A7","7^1+4.2a7","mc7b"], 7858 ["7^2:(3x2A4)","7^2:(3x2a4)","co1m21","co1n7"], 7859 ["7^2:(3x2S4)","7^2:(3x2s4)","thm11","thn7"], 7860 ["7^2:2.L2(7).2","7^2:2.l2(7).2","he.2m5","l3(7)m1"], 7861 ["7^2:2A4","7^2:2a4"], 7862 ["7^2:2psl(2,7)","7^2:2.l2(7)","7^2:2psl(2,7)","hem6","mm42"], 7863 ["7^2:S3","7^2:s3","l3(8)m3"], 7864 ["7xL2(8)","7xl2(8)"], 7865 ["8^2:S3","8^2:s3","l3(9)m6","u3(7)m3"], 7866 ["91:3","91:3","l3(9)m7"], 7867 ["A10","a10","a10.2m1","a11m1"], 7868 ["A10.2","a10.2","a11.2m2","a12m2","fi22m12","fi22m13","s10","s8(2)m8"], 7869 ["A11","a11","a11.2m1","a12m1"], 7870 ["A11.2","a11.2","a12.2m2","a13m2","s11"], 7871 ["A11Syl2","a11syl2"], 7872 ["A12","a12","a12.2m1","a13m1","hnm1"], 7873 ["A12.2","a12.2","a13.2m2","fi23m9","hn.2m2","s12"], 7874 ["A13","a13","a13.2m1","a14m1"], 7875 ["A13.2","a13.2","a14.2m2","s13"], 7876 ["A14","a14"], 7877 ["A14.2","a14.2","s12(2)m13","s14"], 7878 ["A15","a15"], 7879 ["A15.2","a15.2","s15"], 7880 ["A16","a16"], 7881 ["A16.2","a16.2","s16"], 7882 ["A17","a17"], 7883 ["A17.2","a17.2","s17"], 7884 ["A18","a18"], 7885 ["A18.2","a18.2","s18"], 7886 ["A19","a19"], 7887 ["A19.2","a19.2","s19"], 7888 ["A4x7:3","2^2.l3(4).3m5","a4x7:3"], 7889 ["A4xC4","a4xc4"], 7890 ["A4xS3","a4xs3","m12m11","m12n3b"], 7891 ["A4xU4(2)","a4xu4(2)"], 7892 ["A5","a1(4)","a1(5)","a5","a5.2m1","a6m1","j2m9","l2(109)m4","l2(109)m5", 7893 "l2(11)m1","l2(11)m2","l2(125)m4","l2(19)m2","l2(19)m3","l2(29)m2", 7894 "l2(29)m3","l2(31)m2","l2(31)m3","l2(4)","l2(5)","o3(4)","o3(5)","o4-(2)", 7895 "s2(4)","s2(5)","s6(3)m11","u2(4)","u2(5)"], 7896 ["A5.2","a5.2","a6.2_1m2","a7m4","j2.2m10","l2(25)m2","l3(5)m3","m11m4", 7897 "m12.2m9","s5","thm16"], 7898 ["A5.2xM22.2","a5.2xm22.2","bm18","s5xm22.2"], 7899 ["A5xA5","a5xa5","g2(4)m7"], 7900 ["A6","a1(9)","a6","a6.2_1m1","a7m1","c2(2)'","l2(9)","l3(4)m3","o3(9)", 7901 "o4-(3)","o5(2)'","s2(9)","s4(2)'","s4(5)m8","u2(9)","u3(11)m6","u3(11)m7", 7902 "u3(11)m8"], 7903 ["A6.2^2","2f4(2)'m6","a10.2m8","a6.2^2","a6.v4","m10.2","m12m3","m22.2m6", 7904 "rum14","s6.2","u3(5).2m4","u4(3).2_1m12","u4(3).2_1m13","u4(3).2_3m9"], 7905 ["A6.2_1","a6.2_1","a7.2m2","a8m4","s4(2)","s4(4)m7","s6","u4(2)m2"], 7906 ["A6.2_1M3","a6.2_1m3"], 7907 ["A6.2_2","a6.2_2","l3(9)m5","l4(3)m7","on.2m9","pgl(2,9)","u3(9)m3"], 7908 ["A6.2_3","a10m7","a6.2_3","m10","m11m1","m22m7","thm14","u3(5)m5", 7909 "u4(3)m15","u4(3)m16"], 7910 ["A6.D8","2.m12m3","2.rum14","a6.d8"], 7911 ["A6M2","a6m2"], 7912 ["A6M5","a6m5"], 7913 ["A6xL2(8):3","a6xl2(8):3","f3+m19"], 7914 ["A7","a7","a7.2m1","a8m1","m22m3","m22m4","onm12","onm13","suzm17", 7915 "u3(5)m1","u4(3)m10","u4(3)m11"], 7916 ["A7.2","a7.2","a8.2m2","a9m2","s7","suz.2m16","u3(5).2m2"], 7917 ["A7x3","a7x3"], 7918 ["A8","a8","a8.2m1","a9m1","l4(2)","m23m4","rum8","sl42"], 7919 ["A8.2","a10m2","a8.2","a9.2m2","hsm5","s6(2)m2","s8"], 7920 ["A8.2N2","a8.2n2","a8.2syl2"], 7921 ["A8x3","a8x3"], 7922 ["A9","a10m1","a9","a9.2m1","o8+(2)m7"], 7923 ["A9.2","a10.2m2","a11m2","a9.2","o7(3)m10","s9"], 7924 ["A9M5","a9m5"], 7925 ["A9x3","a9x3"], 7926 ["A9xS3","a9xs3","co1m16"], 7927 ["B","b","bm","f2+"], 7928 ["BN7","bn7"], 7929 ["C3","c3"], 7930 ["C4","c4"], 7931 ["C6","c6"], 7932 ["C9Y3.3^5.U4(2)","c9y3.3^5.u4(2)","mc9a"], 7933 ["Co1","co1","f2-"], 7934 ["Co1N3","co1n3"], 7935 ["Co1N5","co1n5"], 7936 ["Co2","co1m1","co2"], 7937 ["Co2N2","co2n2"], 7938 ["Co2N7","co2n7"], 7939 ["Co3","co1m4","co3"], 7940 ["Co3N2","co3n2"], 7941 ["Co3N3","3^(1+4):4.3^2:d8","co3n3"], 7942 ["D10","a5m2","d10"], 7943 ["D108","27:2^2","d108","l2(109)m3"], 7944 ["D110","d110","l2(109)m2"], 7945 ["D112","28.2^2","d112","l2(113)m3"], 7946 ["D114","d114","l2(113)m2"], 7947 ["D120","d120","l2(121)m5"], 7948 ["D122","d122","l2(121)m4"], 7949 ["D126","d126","l2(125)m2"], 7950 ["D14","d14","l2(13)m2","sz(8)m4"], 7951 ["D16","d16","l2(17)m5"], 7952 ["D18","d18","l2(17)m4","l2(19)m5"], 7953 ["D20","d20","l2(11).2m5","l2(19)m4"], 7954 ["D22","d22","l2(23)m5"], 7955 ["D24","d24","l2(11).2m4","l2(23)m4","l2(25)m5"], 7956 ["D26","d26","l2(25)m4","l2(27)m3"], 7957 ["D28","2.sz(8)m4","d28","l2(27)m2","l2(29)m5"], 7958 ["D30","d30","l2(29)m4","l2(31)m5"], 7959 ["D32","d32","l2(31)m4"], 7960 ["D62","d62","sz(32)m4"], 7961 ["D62x2","d124","d62x2","l2(125)m3"], 7962 ["D6xD10","d6xd10","j1m6","j1n3","j1n5","j3n5","l2(16).2m5","l2(16).2n5", 7963 "s3xd10"], 7964 ["D8","d8"], 7965 ["D8.(S4x2)","d8.(s4x2)","m12.2m5"], 7966 ["D8x2","d8x2"], 7967 ["D8x2F4(2)'.2","d8x2f4(2)'.2","ndg(b,d8)"], 7968 ["D8xL3(2)","2^2.l3(4).2_2m5","d8xl3(2)"], 7969 ["D8xL4(3).2_2","d8xl4(3).2_2","o8-(3).2_1m7"], 7970 ["D8xS6(2)","d8xs6(2)","ndg(fi23,d8)"], 7971 ["D8xV4","d8xv4"], 7972 ["E6(2)","e6(2)"], 7973 ["F3+","f24c","f3+","f3+.2m1","fi24'"], 7974 ["F3+.2","f24","f3+.2","fi24","fi24'.2"], 7975 ["F3+M14","f3+m14"], 7976 ["F3+M7","f3+m7"], 7977 ["F3+N5","f3+n5"], 7978 ["F4(2)","2e6(2)m3","f4(2)","f4f2"], 7979 ["F4(2).2","f4(2).2"], 7980 ["F4(2)M2","f4(2)m2"], 7981 ["F4(2)M4","f4(2)m4"], 7982 ["Fi22","2e6(2)m7","f22","fi22","fi22.2m1"], 7983 ["Fi22.2","f22.2","fi22.2"], 7984 ["Fi22.2M4","fi22.2m4"], 7985 ["Fi22M3","fi22m3"], 7986 ["Fi22N3","f22n3","fi22n3"], 7987 ["Fi22N5","2f4(2)'.2m5","2f4(2)'.2n5","f22n5","fi22n5","he.2m12","he.2n5", 7988 "o8+(2).3.2n5"], 7989 ["Fi23","bm3","f23","f3+m1","fi23"], 7990 ["Fi23M8","fi23m8"], 7991 ["G2(3)","g2(3)","g2(3).2m1","g2f3","o7(3)m4"], 7992 ["G2(3).2","fi22.2m12","g2(3).2","g2f3b"], 7993 ["G2(3)M2","g2(3)m2"], 7994 ["G2(3)M4","g2(3)m4"], 7995 ["G2(3)M6","g2(3)m6"], 7996 ["G2(4)","g2(4)","g2(4).2m1","g2f4","suzm1"], 7997 ["G2(4).2","g2(4).2","g2f4b","suz.2m2"], 7998 ["G2(5)","g2(5)","g2f5","lym1"], 7999 ["HN","f5+","ha","hn","hn.2m1"], 8000 ["HN.2","bm11","f5+.2","ha.2","hn.2"], 8001 ["HN.2M13","hn.2m13"], 8002 ["HN.2N3","hn.2n3"], 8003 ["HNM12","hnm12"], 8004 ["HNN2","hnn2"], 8005 ["HNN3","hnn3"], 8006 ["HNN5","hnn5"], 8007 ["HS","co3m2","hs","hs.2m1"], 8008 ["HS.2","co2m5","hs.2","hs:2"], 8009 ["HS.2N5","hs.2m9","hs.2n5"], 8010 ["HS.2x2","hs.2x2"], 8011 ["HSM3","hsm3"], 8012 ["HSM9","hsm9"], 8013 ["HSN2","hsn2"], 8014 ["He","he","he.2m1"], 8015 ["He.2","f3+m13","he.2"], 8016 ["Isoclinic((3^2x2).U4(3).2_3')","6.suzm2","isoclinic((3^2x2).u4(3).2_3')"], 8017 ["Isoclinic(12.M22.2)","isoclinic(12.m22.2)"], 8018 ["Isoclinic(2.A10.2)","2.a12m2","isoclinic(2.a10.2)"], 8019 ["Isoclinic(2.A11.2)","isoclinic(2.a11.2)"], 8020 ["Isoclinic(2.A12.2)","isoclinic(2.a12.2)"], 8021 ["Isoclinic(2.A13.2)","isoclinic(2.a13.2)"], 8022 ["Isoclinic(2.A14.2)","isoclinic(2.a14.2)"], 8023 ["Isoclinic(2.A5.2)","2.a7m4","2.l2(25)m2","isoclinic(2.a5.2)"], 8024 ["Isoclinic(2.A7.2)","2.a9m2","isoclinic(2.a7.2)"], 8025 ["Isoclinic(2.A8.2)","2.a10m2","2.s6(2)m2","isoclinic(2.a8.2)","mcl.2c2a", 8026 "mcl.2m7","mcl.2n2a"], 8027 ["Isoclinic(2.A9.2)","2.a11m2","2.o7(3)m10","isoclinic(2.a9.2)"], 8028 ["Isoclinic(2.F4(2).2)","isoclinic(2.f4(2).2)"], 8029 ["Isoclinic(2.Fi22.2)","isoclinic(2.fi22.2)"], 8030 ["Isoclinic(2.G2(4).2)","isoclinic(2.g2(4).2)"], 8031 ["Isoclinic(2.HS.2)","isoclinic(2.hs.2)"], 8032 ["Isoclinic(2.HSx2)","isoclinic(2.hsx2)"], 8033 ["Isoclinic(2.J2.2)","isoclinic(2.j2.2)"], 8034 ["Isoclinic(2.L2(19).2)","isoclinic(2.l2(19).2)"], 8035 ["Isoclinic(2.L2(23).2)","isoclinic(2.l2(23).2)"], 8036 ["Isoclinic(2.L2(25)x2)","isoclinic(2.l2(25)x2)"], 8037 ["Isoclinic(2.L3(2).2)","isoclinic(2.l3(2).2)"], 8038 ["Isoclinic(2.L3(4).2_1)","2.hsm4","2.l3(4).2_1*","isoclinic(2.l3(4).2_1)"], 8039 ["Isoclinic(2.L3(4).2_2)","2.l3(4).2_2*","isoclinic(2.l3(4).2_2)"], 8040 ["Isoclinic(2.L3(4).2_3)","2.l3(4).2_3*","isoclinic(2.l3(4).2_3)"], 8041 ["Isoclinic(2.M12.2)","2.suzm10","isoclinic(2.m12.2)"], 8042 ["Isoclinic(2.M22.2)","isoclinic(2.m22.2)"], 8043 ["Isoclinic(2.Suz.2)","isoclinic(2.suz.2)"], 8044 ["Isoclinic(2.U4(3).2_1)","2.u4(3).2_1*","isoclinic(2.u4(3).2_1)"], 8045 ["Isoclinic(2.U4(3).2_2')","2.u4(3).2_2'*","isoclinic(2.u4(3).2_2')"], 8046 ["Isoclinic(2.U4(3).2_2)","2.u4(3).2_2*","isoclinic(2.u4(3).2_2)"], 8047 ["Isoclinic(2.U4(3).2_3')","2.u4(3).2_3'*","isoclinic(2.u4(3).2_3')"], 8048 ["Isoclinic(2.U4(3).2_3)","2.u4(3).2_3*","isoclinic(2.u4(3).2_3)"], 8049 ["Isoclinic(2x2.F4(2).2)","isoclinic(2x2.f4(2).2)"], 8050 ["Isoclinic(2x3^(1+2)_+:Q8)","6.l3(4)m9","isoclinic(2x3^(1+2)_+:q8)"], 8051 ["Isoclinic(2x3^2:Q8)","2.l3(4)m9","isoclinic(2x3^2:q8)"], 8052 ["Isoclinic(2xU3(3).2)","2.g2(4)m6","2.j2.2m2","isoclinic(2xu3(3).2)"], 8053 ["Isoclinic(2xU3(4).2)","2.g2(4)m4","isoclinic(2xu3(4).2)"], 8054 ["Isoclinic(3.A6.2_3x2)","isoclinic(3.a6.2_3x2)"], 8055 ["Isoclinic(4.M22.2)","isoclinic(4.m22.2)"], 8056 ["Isoclinic(4_1.L3(4).2_1)","4_1.l3(4).2_1*","isoclinic(4_1.l3(4).2_1)"], 8057 ["Isoclinic(4_1.L3(4).2_2)","4_1.l3(4).2_2*","isoclinic(4_1.l3(4).2_2)"], 8058 ["Isoclinic(4_2.L3(4).2_1)","4_2.l3(4).2_1*","isoclinic(4_2.l3(4).2_1)"], 8059 ["Isoclinic(4_2.L3(4).2_3)","4_2.l3(4).2_3*","isoclinic(4_2.l3(4).2_3)"], 8060 ["Isoclinic(6.A6x2)","4y6.a6","isoclinic(6.a6x2)"], 8061 ["Isoclinic(6.A7.2)","isoclinic(6.a7.2)"], 8062 ["Isoclinic(6.Fi22.2)","isoclinic(6.fi22.2)"], 8063 ["Isoclinic(6.L3(4).2_1)","6.l3(4).2_1*","isoclinic(6.l3(4).2_1)"], 8064 ["Isoclinic(6.L3(4).2_2)","6.l3(4).2_2*","isoclinic(6.l3(4).2_2)"], 8065 ["Isoclinic(6.L3(4).2_3)","2.g2(4)m5","6.l3(4).2_3*", 8066 "isoclinic(6.l3(4).2_3)"], 8067 ["Isoclinic(6.M22.2)","isoclinic(6.m22.2)"], 8068 ["Isoclinic(6.Suz.2)","isoclinic(6.suz.2)"], 8069 ["Isoclinic(6_2.U4(3).2_3')","2.suzm2","2.suzn3a","6_2.u4(3).2_3'*", 8070 "isoclinic(6_2.u4(3).2_3')"], 8071 ["Isoclinic(L2(13).2x2)","2.rum13","isoclinic(l2(13).2x2)"], 8072 ["Isoclinic(L2(25).2_3x2)","isoclinic(l2(25).2_3x2)"], 8073 ["Isoclinic(S8x2)","2.hsm5","isoclinic(s8x2)"], 8074 ["Isoclinic(U3(5).2x2)","2.hsm2","isoclinic(u3(5).2x2)"], 8075 ["J1","j1","onm3"], 8076 ["J1x2","j1x2","on.2m2"], 8077 ["J2","f5-","g2(4)m1","hj","j2","j2.2m1"], 8078 ["J2.2","f5-.2","g2(4).2m2","hj.2","j2.2","suzm6"], 8079 ["J2.2x2","j2.2x2","suz.2m7"], 8080 ["J2N2","j2n2"], 8081 ["J3","j3","j3.2m1"], 8082 ["J3.2","j3.2"], 8083 ["J3M3","j3m3"], 8084 ["J3N2","j3n2"], 8085 ["J4","j4"], 8086 ["J4M4","j4m4","n8j4"], 8087 ["L2(101)","l2(101)"], 8088 ["L2(103)","l2(103)"], 8089 ["L2(107)","l2(107)"], 8090 ["L2(109)","l2(109)"], 8091 ["L2(11)","a1(11)","j1m1","l2(11)","l2(11).2m1","m11m2","m12m5","m22m8", 8092 "o3(11)","psl(2,11)","s2(11)","u2(11)","u5(2)m6"], 8093 ["L2(11).2","a12.2m11","bm29","l2(11).2","l2(121)m2","l3(11)m3","m12.2m2", 8094 "m22.2m7","pgl(2,11)","u3(11)m3"], 8095 ["L2(113)","l2(113)"], 8096 ["L2(121)","l2(121)"], 8097 ["L2(121)M3","l2(121)m3"], 8098 ["L2(125)","l2(125)"], 8099 ["L2(13)","a1(13)","g2(3)m9","g2(4)m8","l2(13)","o3(13)","psl(2,13)", 8100 "s2(13)","s6(3)m10","s6(3)m9","u2(13)"], 8101 ["L2(13).2","f3+m23","f3+m24","g2(3).2m5","l2(13).2","pgl(2,13)", 8102 "psl(2,13):2","rum13"], 8103 ["L2(16)","l2(16)","psl(2,16)"], 8104 ["L2(16).2","j3m1","l2(16).2","o8-(2)m6","psl(2,16):2","s4(4)m3"], 8105 ["L2(16).4","j3.2m2","l2(16).4","s4(4).2m4"], 8106 ["L2(17)","a1(17)","j3m5","l2(17)","o3(17)","psl(2,17)","s2(17)","s8(2)m11", 8107 "u2(17)"], 8108 ["L2(17).2","bm28","l2(17).2","pgl(2,17)"], 8109 ["L2(17)x2","j3.2m4","l2(17)x2"], 8110 ["L2(19)","a1(19)","j3m2","l2(19)","o3(19)","psl(2,19)","s2(19)","u2(19)"], 8111 ["L2(19).2","l2(19).2","mm43","pgl(2,19)","thm12"], 8112 ["L2(23)","fi23m14","l2(23)","m24m8","psl(2,23)"], 8113 ["L2(23).2","j4m9","l2(23).2","pgl(2,23)"], 8114 ["L2(25)","2f4(2)'m4","l2(25)","psl(2,25)","suzm16"], 8115 ["L2(25).(2x4)","2.rum7","l2(25).(2x4)"], 8116 ["L2(25).2^2","l2(25).2^2","l2(25).v4","psl(2,25).2^2","rum7"], 8117 ["L2(25).2_1","l2(25).2_1","pgl(2,25)","psl(2,25).2"], 8118 ["L2(25).2_2","l2(25).2_2","s12(2)m16","s4(5)m3","suz.2m15"], 8119 ["L2(25).2_3","2f4(2)'.2m3","l2(25).2_3"], 8120 ["L2(25)M3","l2(25)m3"], 8121 ["L2(27)","l2(27)","psl(2,27)"], 8122 ["L2(27).2","l2(27).2","psl(2,27).2"], 8123 ["L2(27).3","l2(27).3","psl(2,27).3","s6(3)m6"], 8124 ["L2(27).6","l2(27).6"], 8125 ["L2(29)","l2(29)","psl(2,29)","rum9"], 8126 ["L2(29).2","l2(29).2","mm41","pgl(2,29)"], 8127 ["L2(31)","bm25","l2(31)","onm7","psl(2,31)"], 8128 ["L2(31).2","l2(31).2","pgl(2,31)"], 8129 ["L2(32)","l2(32)"], 8130 ["L2(32).5","j4m8","l2(32).5","psl(2,32):5","s10(2)m10"], 8131 ["L2(37)","l2(37)"], 8132 ["L2(41)","l2(41)","mm40"], 8133 ["L2(43)","l2(43)"], 8134 ["L2(47)","l2(47)"], 8135 ["L2(49)","l2(49)"], 8136 ["L2(49).2^2","l2(49).2^2"], 8137 ["L2(49).2_1","l2(49).2_1"], 8138 ["L2(49).2_2","l2(49).2_2"], 8139 ["L2(49).2_3","bm24","l2(49).2_3"], 8140 ["L2(53)","l2(53)"], 8141 ["L2(59)","l2(59)","mm38"], 8142 ["L2(61)","l2(61)"], 8143 ["L2(64)","l2(64)"], 8144 ["L2(64).6","l2(64).6"], 8145 ["L2(67)","l2(67)"], 8146 ["L2(71)","l2(71)","mm37"], 8147 ["L2(73)","l2(73)"], 8148 ["L2(79)","l2(79)"], 8149 ["L2(8)","a1(8)","l2(8)","o3(8)","psl(2,8)","r(3)'","s2(8)","u2(8)"], 8150 ["L2(8).3","2g2(3)","a9m4","g2(3)m7","l2(8).3","psl(2,8).3","s6(2)m8"], 8151 ["L2(8):3x2","2.a9m4","2.s6(2)m8","g2(3).2m3","l2(8):3x2"], 8152 ["L2(81)","l2(81)"], 8153 ["L2(81).(2x4)","l2(81).(2x4)"], 8154 ["L2(81).2^2","l2(81).2^2"], 8155 ["L2(81).2_1","l2(81).2_1","o8-(3)m9"], 8156 ["L2(81).2_2","l2(81).2_2"], 8157 ["L2(81).2_3","l2(81).2_3"], 8158 ["L2(81).4_1","l2(81).4_1","o8-(3).2_1m10"], 8159 ["L2(81).4_2","l2(81).4_2"], 8160 ["L2(83)","l2(83)"], 8161 ["L2(89)","l2(89)"], 8162 ["L2(97)","l2(97)"], 8163 ["L3(11)","l3(11)"], 8164 ["L3(2)","a1(7)","a2(2)","a7m2","a7m3","l2(7)","l3(11)m6","l3(2)","l3(4)m6", 8165 "l3(8)m5","m24m9","o3(7)","o8-(2)m8","psl(2,7)","s2(7)","u2(7)","u3(3)m2"], 8166 ["L3(2).2","a8.2m7","j2m7","l2(7).2","l3(2).2","l3(7)m3","on.2m10", 8167 "pgl(2,7)","u3(3).2m3","u3(5).2m6","u3(7)m4"], 8168 ["L3(2).2x2","j2.2m8","l3(2).2x2"], 8169 ["L3(2)wr2","l3(2)wr2","l6(2)m8"], 8170 ["L3(2)xS3","hen3b","l3(2)xs3","m24n3b"], 8171 ["L3(3)","a13m7","a13m8","bm27","l3(3)","l3(9)m4","psl(3,3)","thm13"], 8172 ["L3(3).2","2f4(2)'m1","g2(3)m5","l3(3).2","psl(3,3).2","psl(3,3):2", 8173 "s6(3)m8","suzm14","suzm15"], 8174 ["L3(3)xD8","l3(3)xd8"], 8175 ["L3(4)","l3(4)","m21","m22m1","psl(3,4)","u4(3)m4","u4(3)m5"], 8176 ["L3(4).2^2","hs.2m3","l3(4).2^2","l3(4).d12m4","l3(4).v4","mcl.2m6", 8177 "u4(3).(2^2)_{133}m5"], 8178 ["L3(4).2_1","hsm4","l3(4).2_1","psl(3,4).2","u4(3).2_3m4","u6(2)m16"], 8179 ["L3(4).2_2","l3(4).2_2","m22.2m2","m23m2","mclm7","psl(3,4):2", 8180 "u4(3).2_1m5","u4(3).2_1m6"], 8181 ["L3(4).2_3","l3(4).2_3","u4(3).2_3m3"], 8182 ["L3(4).3","l3(4).3"], 8183 ["L3(4).3.2_2","l3(4).3.2_2","l3(4).d12m3","m24m6","psl(3,4):s3"], 8184 ["L3(4).3.2_3","l3(4).3.2_3","l3(4).d12m1"], 8185 ["L3(4).6","l3(4).6","l3(4).d12m2"], 8186 ["L3(4).D12","co3m10","l3(4).d12","pls(3,4):d12","psl(3,4):d12"], 8187 ["L3(4)M4","l3(4)m4"], 8188 ["L3(4)M5","l3(4)m5"], 8189 ["L3(4)M7","l3(4)m7"], 8190 ["L3(4)M8","l3(4)m8"], 8191 ["L3(4)Syl2","l3(4)c2a","l3(4)n2a","l3(4)syl2"], 8192 ["L3(5)","l3(5)","psl(3,5)"], 8193 ["L3(5).2","g2(5)m4","l3(5).2","psl(3,5).2"], 8194 ["L3(7)","l3(7)"], 8195 ["L3(7).2","l3(7).2","onm1"], 8196 ["L3(7).3","l3(7).3"], 8197 ["L3(7).S3","l3(7).s3"], 8198 ["L3(7)M2","l3(7)m2"], 8199 ["L3(7)M4","l3(7)m4"], 8200 ["L3(7)M5","l3(7)m5"], 8201 ["L3(8)","l3(8)","psl(3,8)"], 8202 ["L3(8).2","l3(8).2"], 8203 ["L3(8).3","l3(8).3"], 8204 ["L3(8).6","l3(8).6"], 8205 ["L3(9)","l3(9)"], 8206 ["L3(9).2^2","l3(9).2^2"], 8207 ["L3(9).2_1","l3(9).2_1"], 8208 ["L3(9).2_2","l3(9).2_2"], 8209 ["L3(9).2_3","l3(9).2_3"], 8210 ["L4(3)","l4(3)","psl(4,3)"], 8211 ["L4(3).2^2","l4(3).2^2","psl(4,3).v4"], 8212 ["L4(3).2_1","l4(3).2_1","pgl(4,3)"], 8213 ["L4(3).2_2","l4(3).2_2","o6p3b","o7(3)m3"], 8214 ["L4(3).2_3","l4(3).2_3","psl(4,3).2"], 8215 ["L4(3)M4","l4(3)m4"], 8216 ["L4(3)x2","l4(3)x2"], 8217 ["L4(4)","l4(4)"], 8218 ["L4(4).2^2","l4(4).2^2"], 8219 ["L4(4).2_1","l4(4).2_1"], 8220 ["L4(4).2_2","l4(4).2_2"], 8221 ["L4(4).2_3","l4(4).2_3"], 8222 ["L4(5)","l4(5)"], 8223 ["L4(9)","l4(9)"], 8224 ["L5(2)","l5(2)","l5(2).2m1","psl(5,2)"], 8225 ["L5(2).2","l5(2).2","psl(5,2).2"], 8226 ["L5(3)","l5(3)","sl(5,3)"], 8227 ["L5(3).2","l5(3).2","sl(5,3).2"], 8228 ["L6(2)","l6(2)","l6f2"], 8229 ["L6(2).2","l6(2).2"], 8230 ["L7(2)","l7(2)","l7(2).2m1","l7f2"], 8231 ["L7(2).2","l7(2).2","l7f2.2"], 8232 ["L8(2)","l8(2)"], 8233 ["Ly","ly"], 8234 ["LyM6","lym6"], 8235 ["LyN2","(2.a11)syl2","lyn2","mcl.2n2"], 8236 ["LyN3","lyn3"], 8237 ["LyN5","bn5","hn.2n5","lyn5"], 8238 ["M","f1","m"], 8239 ["M10x2","2.a10m7","m10x2","u4(3).2_3m8"], 8240 ["M11","a11m6","a11m7","bm26","hsm8","m11","m12m1","m23m5","mclm11","onm10" 8241 ], 8242 ["M11N2","m11n2","m11syl2","qd16"], 8243 ["M11xA6.2^2","m11xa6.2^2","mm30"], 8244 ["M12","a12m7","a12m8","fi22m14","m12","m12.2m1"], 8245 ["M12.2","fi22.2m13","hnm11","m12.2","m12:2","m24m4","suzm10"], 8246 ["M12.2M3","m12.2m3"], 8247 ["M12.2x2","m12.2x2","suz.2m11"], 8248 ["M12C4","m12c4"], 8249 ["M12M2","m12m2"], 8250 ["M12M4","m12m4"], 8251 ["M12M7","m12m7"], 8252 ["M12N2","m12n2","m12syl2","p2(m12)"], 8253 ["M12N3","m12n3","m12n3a"], 8254 ["M22","hsm1","m22","m22.2m1","m23m1","mclm2","u6(2)m11"], 8255 ["M22.2","hs.2m2","j4m12v1","j4m12v2","j4m6","m22.2","m24m2","u6(2).2m8"], 8256 ["M22.2M3","m22.2m3"], 8257 ["M22.2M4","m22.2m4"], 8258 ["M22C2A","m22c2a","m22n2a"], 8259 ["M23","co2m9","co3m4","m23","m24m1"], 8260 ["M23C2A","m23c2","m23c2a","m23n2a"], 8261 ["M24","m24"], 8262 ["M24C2A","m24c2a","m24n2a"], 8263 ["M24C2B","2^2.l3(4).2_2m2","2^2.l3(4).2_2m3","m24c2b","m24n2b"], 8264 ["M24N2","hen2","m24n2"], 8265 ["M8.S4","2^{1+4}_+.s3","m12m9","m8.s4","q8.s4"], 8266 ["MN5","mn5"], 8267 ["McL","co2m3","mcl","mcl.2m1"], 8268 ["McL.2","co3m1","mcl.2"], 8269 ["McL.2N3","mcl.2n3"], 8270 ["McLM10","mclm10"], 8271 ["McLM3","mclm3"], 8272 ["McLN2","(2.a8)syl2","mcln2"], 8273 ["NDG(12.M22,3^2)","ndg(12.m22,3^2)"], 8274 ["NDG(2.Co1,3^3)","ndg(2.co1,3^3)"], 8275 ["NDG(2.Co1,5^2)","ndg(2.co1,5^2)"], 8276 ["NDG(2.HS,Q8)","ndg(2.hs,q8)"], 8277 ["NDG(2.HS,Q8).2","ndg(2.hs,q8).2"], 8278 ["NDG(3.ON,D8)","ndg(3.on,d8)"], 8279 ["NDG(Co1,5^2)","ndg(co1,5^2)"], 8280 ["NDG(HN,3^2)","ndg(hn,3^2)"], 8281 ["NDG(HN.2,3^2)","ndg(hn.2,3^2)"], 8282 ["NDG(He.2,3^2)","ndg(he.2,3^2)"], 8283 ["NDG(J4,3^2)","ndg(j4,3^2)"], 8284 ["NDG(ON,D8)","ndg(on,d8)"], 8285 ["NDG(ON,D8).2","ndg(on,d8).2"], 8286 ["NRS(M24,2^(2+2+4)a)","nrs(m24,2^(2+2+4)a)"], 8287 ["NRS(M24,2^(2+2+4)b)","nrs(m24,2^(2+2+4)b)"], 8288 ["NRS(M24,[2^9]a)","nrs(m24,[2^9]a)"], 8289 ["NRS(M24,[2^9]b)","nrs(m24,[2^9]b)"], 8290 ["O10+(2)","o10+(2)","o10+(2).2m1","o10p2c"], 8291 ["O10+(2).2","o10+(2).2","o10p2","s10(2)m2"], 8292 ["O10-(2)","f3+m4","o10-(2)","o10-(2).2m1"], 8293 ["O10-(2).2","f3+.2m5","o10-(2).2","s10(2)m1"], 8294 ["O10-(3)","o10-(3)"], 8295 ["O12+(2).2","o12+(2).2","o12p2","s12(2)m2"], 8296 ["O12-(2).2","o12-(2).2","s12(2)m1"], 8297 ["O7(3)","f22m2","fi22m2","o7(3)","o7f3","o8+(3)m1"], 8298 ["O7(3).2","o7(3).2","o7f3d","o8-(3)m2"], 8299 ["O7(3).2x2","o7(3).2x2","o8-(3).2_1m3"], 8300 ["O7(3)M11","o7(3)m11"], 8301 ["O7(3)M5","o7(3)m5"], 8302 ["O7(3)M8","o7(3)m8"], 8303 ["O7(3)N3A","o7(3)m9","o7(3)n3a"], 8304 ["O7(5)","o7(5)"], 8305 ["O7(5).2","o7(5).2"], 8306 ["O8+(2)","o8+(2)","o8+(3)m10","o8p2"], 8307 ["O8+(2).2","f22u4","o8+(2).2","o8p2b","s8(2)m2"], 8308 ["O8+(2).3","o8+(2).3","o8p2d"], 8309 ["O8+(2).3.2","f22m4","fi22m4","o8+(2).3.2","o8+(2).s3","o8+(2):s3","o8p2s3" 8310 ], 8311 ["O8+(2):S3x2","2.fi22m4","2xo8+(2):s3","fi22.2m3","o8+(2):s3x2"], 8312 ["O8+(2)M11","o8+(2)m11"], 8313 ["O8+(2)M12","o8+(2)m12"], 8314 ["O8+(2)M16","o8+(2)m16"], 8315 ["O8+(2)M17","o8+(2)m17"], 8316 ["O8+(2)M2","o8+(2)m2"], 8317 ["O8+(2)M3","o8+(2)m3"], 8318 ["O8+(2)M5","o8+(2)m5"], 8319 ["O8+(2)M6","o8+(2)m6"], 8320 ["O8+(2)M8","o8+(2)m8"], 8321 ["O8+(2)M9","o8+(2)m9"], 8322 ["O8+(3)","o8+(3)","o8p3"], 8323 ["O8+(3).(2^2)_{111}","o8+(3).(2^2)_{111}"], 8324 ["O8+(3).(2^2)_{122}","o8+(3).(2^2)_{122}"], 8325 ["O8+(3).2_1","o8+(3).2_1"], 8326 ["O8+(3).2_1'","o8+(3).2_1'"], 8327 ["O8+(3).2_1''","o8+(3).2_1''"], 8328 ["O8+(3).2_2","o8+(3).2_2"], 8329 ["O8+(3).2_2'","o8+(3).2_2'"], 8330 ["O8+(3).3","o8+(3).3"], 8331 ["O8+(3).3.2","fi23m2","o8+(3).3.2","o8+(3).s3","o8+(3):s3"], 8332 ["O8+(3).4","o8+(3).4"], 8333 ["O8+(3).A4","o8+(3).a4"], 8334 ["O8+(3).D8","o8+(3).d8"], 8335 ["O8+(3).S4","bm12","o8+(3).s4"], 8336 ["O8+(3)M11","o8+(3)m11"], 8337 ["O8+(3)M12","o8+(3)m12"], 8338 ["O8+(3)M13","o8+(3)m13"], 8339 ["O8+(3)M14","o8+(3)m14"], 8340 ["O8+(3)M16","o8+(3)m16"], 8341 ["O8+(3)M17","o8+(3)m17"], 8342 ["O8+(3)M19","o8+(3)m19"], 8343 ["O8+(3)M2","o8+(3)m2"], 8344 ["O8+(3)M20","o8+(3)m20"], 8345 ["O8+(3)M21","o8+(3)m21"], 8346 ["O8+(3)M22","o8+(3)m22"], 8347 ["O8+(3)M23","o8+(3)m23"], 8348 ["O8+(3)M25","o8+(3)m25"], 8349 ["O8+(3)M26","o8+(3)m26"], 8350 ["O8+(3)M27","o8+(3)c2d","o8+(3)m27"], 8351 ["O8+(3)M3","o8+(3)m3"], 8352 ["O8+(3)M4","o8+(3)m4"], 8353 ["O8+(3)M5","o8+(3)m5"], 8354 ["O8+(3)M6","o8+(3)m6"], 8355 ["O8+(3)M8","o8+(3)m8"], 8356 ["O8+(3)M9","o8+(3)m9"], 8357 ["O8+(7)","o8+(7)"], 8358 ["O8-(2)","o8-(2)","o8-(2).2m1"], 8359 ["O8-(2).2","o8-(2).2","s8(2)m1"], 8360 ["O8-(3)","o8-(3)"], 8361 ["O8-(3).2^2","o8-(3).2^2"], 8362 ["O8-(3).2_1","o8-(3).2_1"], 8363 ["O8-(3).2_1M4","o8-(3).2_1m4"], 8364 ["O8-(3).2_2","o8-(3).2_2"], 8365 ["O8-(3).2_3","o8-(3).2_3"], 8366 ["O8-(3)M3","o8-(3)m3"], 8367 ["O8-(3)M8","o8-(3)m8"], 8368 ["O9(3)","o9(3)"], 8369 ["ON","o'n","on","on.2m1"], 8370 ["ON.2","o'n.2","on.2"], 8371 ["ON.2N2","on.2n2"], 8372 ["ONM11","onm11"], 8373 ["ONM2","onm2"], 8374 ["ONM5","onm5"], 8375 ["ONM8","onm8"], 8376 ["P1/G1/L1/V1/ext2","2^4.a5","p1/g1/l1/v1/ext2","s4(5)m5","u4(2)m1"], 8377 ["P1/G1/L1/V1/ext3","3^4.a5v1","p1/g1/l1/v1/ext3"], 8378 ["P1/G1/L1/V1/ext4","4^4.a5","p1/g1/l1/v1/ext4"], 8379 ["P1/G1/L1/V1/ext5","5^4.a5","p1/g1/l1/v1/ext5"], 8380 ["P1/G1/L1/V1/ext6","6^4.a5v1","p1/g1/l1/v1/ext6"], 8381 ["P1/G1/L1/V2/ext3","3^4.a5v2","p1/g1/l1/v2/ext3"], 8382 ["P1/G1/L1/V2/ext6","6^4.a5v2","p1/g1/l1/v2/ext6"], 8383 ["P1/G2/L1/V1/ext2","2.l3(4)m1","2.l3(4)m2","2^5.a5v1","2am20", 8384 "p1/g2/l1/v1/ext2"], 8385 ["P1/G2/L1/V1/ext3","3^5.a5","p1/g2/l1/v1/ext3"], 8386 ["P1/G2/L1/V1/ext4","4^5.a5v1","p1/g2/l1/v1/ext4"], 8387 ["P1/G2/L1/V2/ext2","2^5.a5v2","2cm20","p1/g2/l1/v2/ext2"], 8388 ["P1/G2/L1/V2/ext4","4^5.a5v2","p1/g2/l1/v2/ext4"], 8389 ["P1/G2/L2/V2/ext2","2^5.a5v3","p1/g2/l2/v2/ext2"], 8390 ["P1/G2/L2/V2/ext4","4^5.a5v3","p1/g2/l2/v2/ext4"], 8391 ["P1/G3/L2/V1/ext2","2^2.l3(4)m1","2^2.l3(4)m2","2^6.a5","p1/g3/l2/v1/ext2" 8392 ], 8393 ["P1/G3/L2/V1/ext3","3^6.a5","p1/g3/l2/v1/ext3"], 8394 ["P11/G1/L1/V1/ext2","2^6.l3(2)v1","p11/g1/l1/v1/ext2"], 8395 ["P11/G1/L1/V1/ext3","3^6.l3(2)v1","p11/g1/l1/v1/ext3"], 8396 ["P11/G1/L1/V1/ext4","4^6.l3(2)v1","p11/g1/l1/v1/ext4"], 8397 ["P11/G1/L1/V2/ext2","2^6.l3(2)v2","p11/g1/l1/v2/ext2"], 8398 ["P11/G1/L1/V2/ext4","4^6.l3(2)v2","p11/g1/l1/v2/ext4"], 8399 ["P11/G1/L1/V3/ext2","2^6.l3(2)v3","p11/g1/l1/v3/ext2"], 8400 ["P11/G1/L1/V3/ext4","4^6.l3(2)v3","p11/g1/l1/v3/ext4"], 8401 ["P11/G2/L1/V1/ext2","2^6.l3(2)v4","p11/g2/l1/v1/ext2"], 8402 ["P11/G2/L1/V1/ext3","3^6.l3(2)v2","p11/g2/l1/v1/ext3"], 8403 ["P11/G2/L1/V2/ext2","2^6.l3(2)v5","p11/g2/l1/v2/ext2"], 8404 ["P11/G3/L1/V1/ext2","2^7.l3(2)v1","p11/g3/l1/v1/ext2"], 8405 ["P11/G3/L1/V1/ext3","3^7.l3(2)v1","p11/g3/l1/v1/ext3"], 8406 ["P11/G3/L1/V2/ext3","3^7.l3(2)v2","p11/g3/l1/v2/ext3"], 8407 ["P11/G3/L3/V1/ext2","2^7.l3(2)v2","p11/g3/l3/v1/ext2"], 8408 ["P11/G3/L3/V2/ext3","3^7.l3(2)v3","p11/g3/l3/v2/ext3"], 8409 ["P11/G3/L4/V2/ext2","2^7.l3(2)v3","p11/g3/l4/v2/ext2"], 8410 ["P11/G3/L4/V2/ext3","3^7.l3(2)v4","p11/g3/l4/v2/ext3"], 8411 ["P11/G3/L4/V3/ext2","2^7.l3(2)v4","p11/g3/l4/v3/ext2"], 8412 ["P11/G4/L1/V1/ext2","2^8.l3(2)","p11/g4/l1/v1/ext2"], 8413 ["P11/G4/L1/V1/ext3","3^8.l3(2)","p11/g4/l1/v1/ext3"], 8414 ["P12/G1/L2/V1/ext2","2^8.2.l3(2)","p12/g1/l2/v1/ext2"], 8415 ["P12/G1/L2/V1/ext3","3^8.2.l3(2)","p12/g1/l2/v1/ext3"], 8416 ["P13/G1/L2/V1/ext2","2^7.2^3:sl(3,2)v1","p13/g1/l2/v1/ext2"], 8417 ["P13/G1/L2/V1/ext3","3^7.2^3:sl(3,2)","p13/g1/l2/v1/ext3"], 8418 ["P13/G1/L6/V1/ext2","2^7.2^3:sl(3,2)v2","p13/g1/l6/v1/ext2"], 8419 ["P1L62","p1l62"], 8420 ["P1L82","p1l82"], 8421 ["P2/G1/L1/V1/ext2","2^8.2.a5v1","p2/g1/l1/v1/ext2"], 8422 ["P2/G1/L1/V1/ext3","3^8.2.a5v1","p2/g1/l1/v1/ext3"], 8423 ["P2/G2/L1/V1/ext2","2^8.2.a5v2","p2/g2/l1/v1/ext2"], 8424 ["P2/G2/L1/V1/ext3","3^8.2.a5v2","p2/g2/l1/v1/ext3"], 8425 ["P2/G2/L1/V2/ext2","2^8.2.a5v3","p2/g2/l1/v2/ext2"], 8426 ["P21/G1/L1/V1/ext2","2^5.a6","p21/g1/l1/v1/ext2"], 8427 ["P21/G1/L1/V1/ext3","3^5.a6v1","p21/g1/l1/v1/ext3"], 8428 ["P21/G1/L1/V1/ext4","4^5.a6","p21/g1/l1/v1/ext4"], 8429 ["P21/G1/L3/V2/ext3","3^5.a6v2","p21/g1/l3/v2/ext3"], 8430 ["P21/G2/L1/V1/ext2","2^9.a6v1","p21/g2/l1/v1/ext2"], 8431 ["P21/G2/L1/V2/ext2","2^9.a6v2","p21/g2/l1/v2/ext2"], 8432 ["P21/G2/L1/V3/ext2","2^9.a6v3","p21/g2/l1/v3/ext2"], 8433 ["P21/G2/L2/V1/ext2","2^9.a6v4","p21/g2/l2/v1/ext2"], 8434 ["P21/G2/L2/V2/ext2","2^9.a6v5","p21/g2/l2/v2/ext2"], 8435 ["P21/G2/L2/V3/ext2","2^9.a6v6","p21/g2/l2/v3/ext2"], 8436 ["P21/G2/L5/V2/ext2","2^9.a6v7","p21/g2/l5/v2/ext2"], 8437 ["P21/G3/L2/V1/ext2","2^10.a6v1","p21/g3/l2/v1/ext2"], 8438 ["P21/G3/L5/V1/ext2","2^10.a6v2","p21/g3/l5/v1/ext2"], 8439 ["P27/G1/L1/V1/ext2","2^6.a7","p27/g1/l1/v1/ext2"], 8440 ["P27/G1/L1/V1/ext3","3^6.a7","p27/g1/l1/v1/ext3"], 8441 ["P27/G1/L1/V1/ext4","4^6.a7","p27/g1/l1/v1/ext4"], 8442 ["P2L62","l6(2)m3","l6(2)m4","p2l62"], 8443 ["P2L82","p2l82"], 8444 ["P31/G1/L1/V1/ext2","2.o8+(2)m4","2^7.a8","p31/g1/l1/v1/ext2"], 8445 ["P31/G1/L1/V1/ext3","3^7.a8","p31/g1/l1/v1/ext3"], 8446 ["P3L62","l6(2)m5","p3l62"], 8447 ["P41/G1/L1/V1/ext2","2^7.l2(8)v1","p41/g1/l1/v1/ext2"], 8448 ["P41/G1/L1/V1/ext3","3^7.l2(8)v1","p41/g1/l1/v1/ext3"], 8449 ["P41/G1/L1/V2/ext2","2^7.l2(8)v2","p41/g1/l1/v2/ext2"], 8450 ["P41/G1/L1/V3/ext3","3^7.l2(8)v2","p41/g1/l1/v3/ext3"], 8451 ["P41/G1/L1/V4/ext2","2^7.l2(8)v3","p41/g1/l1/v4/ext2"], 8452 ["P41/G1/L1/V4/ext3","3^7.l2(8)v3","p41/g1/l1/v4/ext3"], 8453 ["P41/G2/L1/V1/ext2","2^8.l2(8)","p41/g2/l1/v1/ext2"], 8454 ["P41/G2/L1/V1/ext3","3^8.l2(8)","p41/g2/l1/v1/ext3"], 8455 ["P43/G1/L1/V1/ext2","2^10.l2(11)v1","p43/g1/l1/v1/ext2"], 8456 ["P43/G2/L1/V1/ext2","2^10.l2(11)v2","p43/g2/l1/v1/ext2"], 8457 ["P43/G3/L1/V1/ext2","2^10.l2(11)v3","p43/g3/l1/v1/ext2"], 8458 ["P43/G3/L1/V2/ext2","2^10.l2(11)v4","p43/g3/l1/v2/ext2"], 8459 ["P48/G1/L1/V1/ext2","2^10.m11v1","p48/g1/l1/v1/ext2"], 8460 ["P48/G1/L1/V2/ext2","2^10.m11v2","p48/g1/l1/v2/ext2"], 8461 ["P49/G1/L1/V1/ext2","2^7.u3(3)","p49/g1/l1/v1/ext2"], 8462 ["P49/G1/L1/V1/ext3","3^7.u3(3)v1","p49/g1/l1/v1/ext3"], 8463 ["P49/G1/L1/V2/ext3","3^7.u3(3)v2","p49/g1/l1/v2/ext3"], 8464 ["P50/G1/L1/V1/ext2","p50/g1/l1/v1/ext2"], 8465 ["P50/G1/L1/V1/ext3","3^6.u4(2)","p50/g1/l1/v1/ext3"], 8466 ["P50/G1/L1/V1/ext4","4^6.u4(2)","p50/g1/l1/v1/ext4"], 8467 ["Q8","q8"], 8468 ["QD16.2","qd16.2"], 8469 ["R(27)","r(27)"], 8470 ["R(27).3","r(27).3"], 8471 ["Ru","ru"], 8472 ["RuN2","run2"], 8473 ["S10(2)","o11f2","s10(2)","s10f2"], 8474 ["S10x2","a12.2m3","s10x2"], 8475 ["S10xS3","a13.2m4","s10xs3"], 8476 ["S11x2","a13.2m3","s11x2"], 8477 ["S12(2)","s12(2)"], 8478 ["S3","a5m3","a5n3","l2(2)","s3"], 8479 ["S3wrS4","a12.2m10","s3wrs4"], 8480 ["S3x2","a5.2m4","d12","l2(11)m4","l2(13)m3","s3x2"], 8481 ["S3x2.U4(3).2_2","2.fi22m8","s3x2.u4(3).2_2"], 8482 ["S3x3^(1+2)+:2A4","s3x3^(1+2)+:2a4","u5(2)m5"], 8483 ["S3x6_1.U4(3).2_2","ndg(6.fi22,3^2)","s3x6_1.u4(3).2_2"], 8484 ["S3x7:6","co3n7","l3(4).d12m8","s3x7:6"], 8485 ["S3xFi22.2","bm9","bn3a","s3xfi22.2"], 8486 ["S3xJ2.2","3.suz.2m7","s3xj2.2"], 8487 ["S3xL2(8)","s3xl2(8)"], 8488 ["S3xM12.2","3.suz.2m11","s3xm12.2"], 8489 ["S3xO7(3)","fi23m5","s3xo7(3)"], 8490 ["S3xO8+(3):S3","f3+.2m4","f3+.2n3a","s3xo8+(3):s3"], 8491 ["S3xS3","s3xs3"], 8492 ["S3xS6","a9.2m4","s3xs6","s6(2)m7"], 8493 ["S3xS6(2)","s3xs6(2)","s8(2)m6"], 8494 ["S3xTh","mm9","s3xth"], 8495 ["S3xU4(2)","s3xu4(2)","u6(2)m14"], 8496 ["S3xU4(3)","s3xu4(3)"], 8497 ["S3xU4(3).(2^2)_{122}","fi22.2m7","fi22.2n3a","s3xu4(3).(2^2)_{122}"], 8498 ["S3xU4(3).2_2","fi22m8","s3xu4(3).2_2","s3xu4(3):2_2"], 8499 ["S4(4)","s4(4)","s4(4).2m1","s4f4"], 8500 ["S4(4).2","hem1","s4(4).2","s4f4:2","s8(2)m9"], 8501 ["S4(4).2M3","s4(4).2m3"], 8502 ["S4(4).2M5","s4(4).2m5"], 8503 ["S4(4).2M7","s4(4).2m7"], 8504 ["S4(4).4","fi23m13","he.2m2","s4(4).4"], 8505 ["S4(4)M2","s4(4)m2"], 8506 ["S4(4)M4","s4(4)m4"], 8507 ["S4(4)M6","s4(4)m6"], 8508 ["S4(5)","s4(5)"], 8509 ["S4(5).2","s4(5).2"], 8510 ["S4(7)","s4(7)"], 8511 ["S4(7).2","s4(7).2"], 8512 ["S4(8)","s4(8)"], 8513 ["S4(9)","s4(9)"], 8514 ["S4(9).2^2","s4(9).2^2"], 8515 ["S4(9).2_1","s4(9).2_1"], 8516 ["S4(9).2_2","s4(9).2_2"], 8517 ["S4(9).2_3","s4(9).2_3"], 8518 ["S4wrS3","a12.2m8","s4wrs3"], 8519 ["S4x2F4(2)'.2","bm16","s4x2f4(2)","s4x2f4(2)'.2"], 8520 ["S4x2^2","s4x2^2"], 8521 ["S4x5^2:4S4","f3+.2n5","s4x5^2:4s4"], 8522 ["S4xL3(2).2","he.2m10","s4xl3(2).2"], 8523 ["S4xO8+(2):S3","f3+.2m13","s4xo8+(2):s3"], 8524 ["S4xS3","a7.2m4","m12.2m8","s4xs3"], 8525 ["S4xS4","l4(3)m8","s4xs4"], 8526 ["S4xS6(2)","fi23m12","s4xs6(2)"], 8527 ["S4xU4(2).2","o8-(3)m7","s4xu4(2).2"], 8528 ["S5xS3","a8.2m5","l3(4).d12m7","s4(5)m6","s5xs3"], 8529 ["S5xS4","a9.2m5","s5xs4"], 8530 ["S5xS9","f3+.2m17","s5xs9"], 8531 ["S6(2)","l6(2)m6","o7(3)m7","o8+(2)m1","o8-(2)m2","s6(2)","s6f2","u6(2)m8" 8532 ], 8533 ["S6(3)","s6(3)","s6f3"], 8534 ["S6(3).2","s6(3).2"], 8535 ["S6(4)","s6(4)"], 8536 ["S6(4).2","s6(4).2"], 8537 ["S6(5)","s6(5)"], 8538 ["S6x2","a8.2m3","s4(4).2m8","s6x2","u4(2).2m3"], 8539 ["S6xL2(8):3","f3+.2m18","s6xl2(8):3"], 8540 ["S6xS4","a10.2m6","o7(3)m14","s6xs4"], 8541 ["S6xS5","a11.2m6","s6xs5"], 8542 ["S7x2","a9.2m3","s7x2"], 8543 ["S7xS3","a10.2m4","s7xs3"], 8544 ["S7xS4","a11.2m5","s7xs4"], 8545 ["S7xS5","a12.2m7","s7xs5"], 8546 ["S7xS6","a13.2m7","s7xs6"], 8547 ["S8(2)","f4(2)m3","fi23m4","l8(2)m8","o10+(2)m1","s8(2)","s8f2"], 8548 ["S8(2)M3","s8(2)c2a","s8(2)m3"], 8549 ["S8(3)","s8(3)"], 8550 ["S8x2","a10.2m3","hs.2m4","s8x2"], 8551 ["S8xS3","a11.2m4","s8xs3"], 8552 ["S8xS4","a12.2m6","s8xs4"], 8553 ["S8xS5","a13.2m6","s8xs5"], 8554 ["S9x2","a11.2m3","s9x2"], 8555 ["S9xS3","a12.2m4","s9xs3"], 8556 ["S9xS4","a13.2m5","s9xs4"], 8557 ["Suz","suz","suz.2m1"], 8558 ["Suz.2","suz.2"], 8559 ["SuzN2","suzn2"], 8560 ["Symm(4)","l2(31)m6","l2(31)m7","l3(2)m1","l3(2)m2","symm(4)"], 8561 ["Sz(32)","sz(32)"], 8562 ["Sz(32).5","sz(32).5"], 8563 ["Sz(8)","sz(8)","sz(8).3m1","sz8"], 8564 ["Sz(8).3","sz(8).3"], 8565 ["Th","bm5","f3","th"], 8566 ["ThM7","thm7"], 8567 ["ThN2","thn2"], 8568 ["ThN3B","thm6","thn3b"], 8569 ["U3(11)","u3(11)","u3q11"], 8570 ["U3(11).2","j4m5","psu(3,11):2","u3(11).2"], 8571 ["U3(11).3","u3(11).3"], 8572 ["U3(11).S3","u3(11).s3"], 8573 ["U3(11)M4","u3(11)m4"], 8574 ["U3(11)M5","u3(11)m5"], 8575 ["U3(3)","j2m1","j4m10","l3(9)m3","u3(3)","u3(3).2m1","u3q3","u4(3)m7"], 8576 ["U3(3).2","3d4(2)m3","f3+m21","f3+m22","g2(3)m1","g2(4)m6","g2(5)m6", 8577 "j2.2m2","s6(2)m4","u3(3).2","u332","u3q3a","u4(3).2_3m6"], 8578 ["U3(4)","u3(4)","u3(4).2m1","u3q4"], 8579 ["U3(4).2","g2(4)m4","u3(4).2","u3q4a"], 8580 ["U3(4).4","u3(4).4"], 8581 ["U3(5)","mclm4","u3(5)","u3(5).2m1","u3(5).3m1","u3q5"], 8582 ["U3(5).2","c4u2","hsm2","mcl.2m3","rum5","u3(5).2","u3(5).3.2m2","u3q5:2"], 8583 ["U3(5).3","u3(5).3","u3(5).3.2m1","u3q5.3"], 8584 ["U3(5).3.2","co3m7","u3(5).3.2","u3(5).s3","u3(5):s3","u3q5:s3"], 8585 ["U3(5)M2","u3(5)m2"], 8586 ["U3(5)M3","u3(5)m3"], 8587 ["U3(5)M6","u3(5)m6"], 8588 ["U3(5)M7","u3(5)m7"], 8589 ["U3(7)","u3(7)"], 8590 ["U3(7).2","u3(7).2"], 8591 ["U3(8)","u3(8)","u3q8"], 8592 ["U3(8).2","u3(8).2"], 8593 ["U3(8).3_1","hnm3","u3(8).3_1"], 8594 ["U3(8).3_2","u3(8).3_2"], 8595 ["U3(8).3_3","u3(8).3_3"], 8596 ["U3(8).6","hn.2m4","thm4","u3(8).6"], 8597 ["U3(8).S3","u3(8).s3"], 8598 ["U3(8)M4","u3(8)m4"], 8599 ["U3(8)M5","u3(8)m5"], 8600 ["U3(9)","u3(9)"], 8601 ["U3(9).2","u3(9).2"], 8602 ["U3(9).4","u3(9).4"], 8603 ["U4(2)","s4(3)","u4(2)","u4(2).2m1","u4(3)m2","u4q2"], 8604 ["U4(2).2","l4(3)m3","o6m2.2","s6(2)m1","s6f2s1","u4(2).2","u4(3).2_1m3", 8605 "w(e6)"], 8606 ["U4(3)","c3u1","f22u1","mclm1","u4(3)","u4(3).2_1m1","u4(3).2_3m1","u4q3"], 8607 ["U4(3).(2^2)_{122}","u4(3).(2^2)_{122}"], 8608 ["U4(3).(2^2)_{133}","co3m3","u4(3).(2^2)_{133}"], 8609 ["U4(3).(2^2)_{133}M11","u4(3).(2^2)_{133}m11"], 8610 ["U4(3).(2^2)_{133}M12","u4(3).(2^2)_{133}m12"], 8611 ["U4(3).(2^2)_{133}M6","u4(3).(2^2)_{133}m6"], 8612 ["U4(3).2_1","u4(3).(2^2)_{133}m1","u4(3).2_1"], 8613 ["U4(3).2_1M10","u4(3).2_1m10"], 8614 ["U4(3).2_1M4","u4(3).2_1m4"], 8615 ["U4(3).2_2","f22u2","u4(3).2_2","u4q3b","u6(2)m4"], 8616 ["U4(3).2_2'","u4(3).2_2'"], 8617 ["U4(3).2_3","mcl.2m2","u4(3).(2^2)_{133}m2","u4(3).2_3"], 8618 ["U4(3).2_3'","u4(3).(2^2)_{133}m3","u4(3).2_3'"], 8619 ["U4(3).2_3M10","u4(3).2_3m10"], 8620 ["U4(3).4","u4(3).4"], 8621 ["U4(3).D8","co2m7","u4(3).d8","u4q3.d8"], 8622 ["U4(3)M12","u4(3)m12","u4(3)m13"], 8623 ["U4(3)M3","u4(3)m3"], 8624 ["U4(3)M9","u4(3)m9"], 8625 ["U4(4)","u4(4)"], 8626 ["U4(4).4","u4(4).4"], 8627 ["U4(5)","u4(5)"], 8628 ["U4(5).2^2","u4(5).2^2"], 8629 ["U4(5).2_1","u4(5).2_1"], 8630 ["U4(5).2_2","u4(5).2_2"], 8631 ["U4(5).2_3","u4(5).2_3"], 8632 ["U5(2)","suzm3","u5(2)","u5q2","u6(2)m1"], 8633 ["U5(2).2","suz.2m4","u5(2).2","u6(2).2m2"], 8634 ["U5(3)","u5(3)"], 8635 ["U5(4)","u5(4)"], 8636 ["U5(4).2","u5(4).2"], 8637 ["U6(2)","u6(2)","u6q2"], 8638 ["U6(2).2","co2m1","u6(2).2","u6q2.2"], 8639 ["U6(2).3","u6(2).3","u6q2.3"], 8640 ["U6(2).3.2","co1m6","u6(2).3.2","u6(2).s3","u6(2):s3"], 8641 ["U6(2)M10","u6(2)m10"], 8642 ["U6(2)M12","u6(2)m12"], 8643 ["U6(2)M13","u6(2)m13"], 8644 ["U6(2)M5","u6(2)m5"], 8645 ["U6(2)M6","u6(2)m6"], 8646 ["U6(2)M9","u6(2)m9"], 8647 ["U6(4)","u6(4)"], 8648 ["U7(2)","u7(2)"], 8649 ["U72CT","u72ct"], 8650 ["V4","2^2","v4"], 8651 ["[2^30].L5(2)","[2^30].l5(2)","bm8"], 8652 ["[2^35].(S5xL3(2))","[2^35].(s5xl3(2))","bm10"], 8653 ["[2^9].S3a","[2^9].s3a"], 8654 ["[2^9].S3b","[2^9].s3b"], 8655 ["[7^6]:(6x6)","[7^6]:(6x6)","mn7"], 8656 ["a4","a4","a5m1","l2(13)m4","l2(27)m4","l2(3)"], 8657 ["a4xa5","a4xa5","j2m5"], 8658 ["a4xs5","a4xs5","co3m14"], 8659 ["a5wc2","a5wc2","s4(4)m5"], 8660 ["a5xd10","a5xd10","j2m6","u3(4).2m3"], 8661 ["affine","affine"], 8662 ["b33141","b33141","u4(2)m5"], 8663 ["bd10","2.a5m2","bd10"], 8664 ["bd6","bd6"], 8665 ["bd8","bd8"], 8666 ["c2aj4","c2aj4","j4c2a","j4m2"], 8667 ["c3d2","c3d2","co3d2"], 8668 ["esp43t","esp43t"], 8669 ["f22s2","f22s2","fi22n2"], 8670 ["frob","29:28","f3+.2m21","f3+.2n29","f3+.2n29a","frob","j4m11","j4n29", 8671 "j4n29a","l2(29).2m2"], 8672 ["g61","g61"], 8673 ["g61s1","g61s1"], 8674 ["g72x16","g72x16"], 8675 ["ghh","ghh"], 8676 ["gl25","gl25"], 8677 ["group2","group2"], 8678 ["group3","group3"], 8679 ["group5","group5"], 8680 ["group6","group6"], 8681 ["gs4","gs4"], 8682 ["h4","h4","s4(5)m4"], 8683 ["hed3","2^2.psl(3,4).s3m5","hed3"], 8684 ["hess","hess"], 8685 ["hsd2","hsd2"], 8686 ["j2nd2","j2d2","j2nd2"], 8687 ["j3m4","2^4:(3xa5)","j3m4"], 8688 ["j3m6","(3xa6):2_2","j3m6","j3n3a"], 8689 ["m12d2","m12d2"], 8690 ["mo61","a8.2m4","mo61"], 8691 ["mo62","a10m6","mo62","u4(2).2m2"], 8692 ["mo62p","mo62p"], 8693 ["mo81","mo81"], 8694 ["mx1j4","j4m1","mx1j4"], 8695 ["ons1","ons1"], 8696 ["pap","pap"], 8697 ["s2wrs2","s2wrs2"], 8698 ["s2wrs3","a6.2_1m6","s2wrs3"], 8699 ["s2wrs4","a8.2m6","s2wrs4"], 8700 ["s2wrs5","a10.2m7","s2wrs5"], 8701 ["s3wrs2","3^2:d8","a6.2_1m4","s3wrs2"], 8702 ["s3wrs3","a9.2m6","s3wrs3","u4(2).2m5"], 8703 ["s3xpsl(2,8).3","co3m13","s3xpsl(2,8).3"], 8704 ["s4","a5.2m2","a6m4","l2(11).2m3","l2(113)m4","l2(113)m5","l2(17)m2", 8705 "l2(17)m3","l2(23)m2","l2(23)m3","l3(3)m4","s4"], 8706 ["s4wrs2","s4wrs2"], 8707 ["s4xpsl(3,2)","hem9","s4xpsl(3,2)"], 8708 ["s5wrs2","a10.2m5","he.2m7","s5wrs2"], 8709 ["s61p","a8n2","a8syl2","s61p"], 8710 ["sl25ex","sl25ex"], 8711 ["suzd2","suzd2"], 8712 ["suzdx","suzdx"], 8713 ["suzs2","suzs2"], 8714 ["twd5a","2.u4(2).2m2","twd5a"], 8715 ["w(d4)","w(d4)"], 8716 ["w(d5)","w(d5)"], 8717 ["w(f4)","u4(2).2m6","w(f4)","weylf(4)"], 8718]; 8719 8720LIBLIST.allnames:= []; 8721LIBLIST.position:= []; 8722LIBLIST.makenames:= function() 8723local entry; 8724for entry in LIBLIST.names do 8725 LIBLIST.pos:= Position( LIBLIST.firstnames, entry[1] ); 8726 Append( LIBLIST.allnames, 8727 entry{ [2..Length(entry)] } ); 8728 Append( LIBLIST.position, 8729 List( [2..Length(entry)], x -> LIBLIST.pos ) ); 8730od; 8731Unbind( LIBLIST.names ); 8732Unbind( LIBLIST.pos ); 8733Unbind( LIBLIST.makenames ); 8734for entry in LIBLIST.allnames do MakeImmutable( entry ); od; 8735end; 8736LIBLIST.makenames(); 8737 8738SortParallel( LIBLIST.allnames, LIBLIST.position ); 8739 8740LIBLIST.TOM_TBL_INFO:= [ [], [] ]; 8741if IsPackageMarkedForLoading("tomlib","1.2") then 8742 LIBLIST.TOM_TBL_INFO[1]:= [ 8743 "2.a5","2.s5","2.s5'","2.a6","2.s6","2.a7","2.s7","2.a8","2.s8","3.a6.2^2", 8744 "3.pgl2(9)","3.s7","a10","s10","a11","s11","a12","s12","a13","s13","a5", 8745 "s5","a6","a6.2^2","s6","a6.2_2","a6.2_3","a7","s7","a8","s8","a9","s9", 8746 "g2(3)","g2(3).2","g2(4)","sz(32)","sz(8)","sz(8).3","co3","j1","j2", 8747 "j2.2","j3","j3.2","2^4:a5`","2^2.(2^4:a5)","(3xa4):2","(a5x3):2","l2(11)", 8748 "l2(11).2","l2(13)","l2(13).2","l2(16)","l2(16).2","l2(16).4","l2(17)", 8749 "l2(19)","l2(23)","l2(25)","l2(25).2_2","l2(27)","l2(29)","l2(31)", 8750 "l2(32)","l2(32).5","l2(8)","l2(8).3","l2(49)","l2(81)","2^2.l3(4)", 8751 "3.l3(4)","3.l3(4).2_3","l3(4)","l3(4).2^2","l3(4).2_1","l3(4).2_2", 8752 "l3(4).2_3","l3(4).3","l3(4).3.2_2","l3(4).3.2_3","l3(4).6","l3(4).d12", 8753 "2^2.l3(4).2_2","2^2.l3(4).3","l2(7)","l2(7).2","l3(3)","l3(3).2","l3(5)", 8754 "l3(7)","l3(8)","l3(9)","l4(3)","l5(2)","l2(37)","l2(41)","l2(43)", 8755 "l2(47)","l2(53)","l2(59)","l2(61)","l2(64)","l2(67)","l2(71)","l2(73)", 8756 "l2(79)","l2(83)","l2(89)","l2(97)","l2(101)","l2(103)","l2(107)", 8757 "l2(109)","l2(113)","l2(121)","l2(125)","l3(11)","m11","m12","m12.2","m22", 8758 "m22.2","m23","m24","13:3","19:3","31:3","37:3","43:3","73:3","91:3", 8759 "133:3","31:5","109:54","113:56","d14","(5x11).2","(3x19).2","d122","63:2", 8760 "s6x2","s7x2","s8x2","s9x2","s3xs5","s7xs3","s8xs3","s4xs4","s5xs4", 8761 "s6xs4","s7xs4","s6xs5","d62x2","s3xl2(8)","5xa5","3xl2(8)","5x2.a6.2_2", 8762 "3xu4(2)","3^(1+2)+:2a4","s3x3^(1+2)+:2a4","3x2s5","7:3x3","m10x2", 8763 "l2(8):3x2","2^2xa6","2^2xl2(7)","a4x7:3","2^4:a5","3^(1+4)+.2s4", 8764 "2(a4xa4).4","3^2:2a4","(a7x3):2","(a5xa5):4","(a6xa4):2","(a8x3):2", 8765 "(a7xa4):2","(a6xa5):2","(a9x3):2","3^3:l3(3)","3^4:2(a4xa4).2","(4xa6):2", 8766 "(3x2s5).2","(3xu4(2)):2","3^4:2^3.s4(a)","(4^2x2)(2xs4)","(4^2x2)s4", 8767 "(4^2x3):s3","(7:3x3):2","(7xl2(7)):2","(9x3).s3","(a5xa5):2^2", 8768 "(a8xa4):2","(a7xa5):2","(s3xs3xa5):2","10^2:s3","11^(1+2)+:40", 8769 "11^2:(5x2l2(11).2)","11^2:60","2(a4xa4).4.2","2(a4xa4).4.2^2", 8770 "2(l2(11)x2).2","2(l2(7)x4).2","2.(2.(a4xa4).2.2)","2.(2^5:s6)", 8771 "2.(3^(1+2)+:2s4)","2.(3^3:(s4x2))","2.(s3xs6)","2.(s6x2)","2.2^6.l3(2)", 8772 "27:2^2","28.2^2","2^(1+4)+.(s3xs3)","2^(1+8)+:l2(8)","2^(2+4):(3xd10)", 8773 "2^(2+4):15","2^(3+6):21","2^2.(3^2:2a4)","2^2.(3^2:q8)","2^2.(3^2:q8.2)", 8774 "2^2.(7:3xs3)","2^2.(l2(7)x2)","2^2.[2^6].(s3xs3)","2^2.s6","2^3.l3(2):2", 8775 "2^6:(3xa5)","2^6:(3xa5):2","2^6:(7xl2(8))","2^6:3^3:s4","2s5.2", 8776 "3^(1+2)+.2s4","3^(1+2)+:2s4","3^(1+4)+.2^(1+4)-.s3","3^(1+4)+.4s4", 8777 "3^(2+4):80","3^2.(3x3^(1+2)+):d8","3^3:s4`","3^4:(2xa6)","3^4:2^3.s4", 8778 "3^4:gl2(9)","4(a4xa4).4","5^(1+2)+:24","5^(1+2)+:4a5","5^(1+2)+:8", 8779 "5^2:s3","5^3:(2xa5).2","5^3:62","6^2:d12","6^2:s3","7^(1+2):48","7^2:2a4", 8780 "7^2:s3","8^2:s3","2^4:s5`","m8:s3","23:11","2^3:l3(2)","2^4:(3xa5).2", 8781 "2^4:a6","2^4:a7","2^3:l3(2)x2","2^4:a8","2^6:(l3(2)xs3)","2^6:3.s6", 8782 "2xs5","m9:s3","4^2:d12","4^2:d12.2","a4xs3","2^5:s5","m8.s4","s4xs3", 8783 "m11x2","3^2:2s4x2","2^(1+6)+.l3(2)","2^2.l3(4).3.2_2","2^4.s6","2xa6.2^2", 8784 "3^(1+4)+:2s5","3^(1+4)+:4s5","3^4:m10","4.2^4:s5","4^3:l3(2)","5:4xa5", 8785 "5^2:gl2(5)","7:3xl3(2)","7^2:2l2(7)","s4xl3(2)","3^4:(m10x2)","2^4`a8", 8786 "2xm12","a4xs5","s3xl2(8):3","2.[2^6]:(s3xs3)","2^5:s6","2^6:l3(2)", 8787 "s6xs3","u3(3):2x2","(3xm10):2","11:10","13:6","19:18","19:6", 8788 "2^(1+4)-.s5","2^(2+4):(s3xs3)","2^(1+4)-:a5","2^(2+4):(3xs3)","2xa5", 8789 "u3(3)x2","3^2.3^(1+2):8.2","5^2:d12","7:6","d6xd10","(2^2xa5):2", 8790 "m8.s4.2","l2(17)x2","a4xa5","a5xd10","2^4:(3xa5)","(3xa6):2_2", 8791 "(a4xa5):2","(a5xd10).2","l3(2).2x2","(3^(1+2)+x3^2):2s4","2^(1+4)+:3^2.2", 8792 "a5xa5","2^(5+5):31","41:4","25:4","d62","(a6xa6):2^2","2.[2^8]:5:4", 8793 "2^2.[2^8]:s3","2^(1+6)-:3^(1+2)+:2a4","2^(4+4):(3xa5)","3^4:s5","4^2:s3", 8794 "(a5xa5):2","2.(a4xa4).2","2^2.(2^4s5)","30.2^2","2.(a5xa5).2", 8795 "2^2.(3^2:2s4)","(s4xs4):2","2^4:(s3xs3)","2^4:s5","2^6:a8","2^4:s4", 8796 "2^5:s5`","3^3:(2xs4)","s4","(s5xs5):2","2.(2^4:s5)","2.(a4xa4).2.2", 8797 "3^(1+4)+.(2s4x2)","(a6x3):2","2^6:u4(2)","3^3:s4","3^4:a6", 8798 "7^2:2.l2(7):2","2^4:s6","2^3.l3(2)`","o8+(2)","o8-(2)","hs","hs.2","he", 8799 "he.2","mcl","mcl.2","2^3:7:3","3^(1+2)+:d8","3^2.3^(1+2):8","3^2:q8", 8800 "m9:2","5^(1+2)+:3:8.2","5^(1+2)+:8:2","5^(1+2)+:3:8","5^2:(4xs3)", 8801 "5^2:4a4","7^(1+2)+:(s3x3)","5:4","7:6xs3","13:4","2^(3+3):7","2.s6(2)", 8802 "s4(4)","s4(4).2","s4(5)","s6(2)","2f4(2)'","2f4(2)","3d4(2)","u4(3)", 8803 "u4(3).2^2_133","u4(3).2_1","u4(3).2_3","u3(3)","u3(3).2","u3(4)", 8804 "u3(4).2","u3(5)","u3(5).2","u3(5).3","u3(5).s3","u3(7)","u3(8)","u3(9)", 8805 "2.u4(2)","2.u4(2).2","u3(11)","u4(2)","u4(2).2","u5(2)", ]; 8806 LIBLIST.TOM_TBL_INFO[2]:= [ 8807 "2.a5","2.a5.2","isoclinic(2.a5.2)","2.a6","2.a6.2_1","2.a7", 8808 "isoclinic(2.a7.2)","2.a8","isoclinic(2.a8.2)","3.a6.2^2","3.a6.2_2", 8809 "3.a7.2","a10","a10.2","a11","a11.2","a12","a12.2","a13","a13.2","a5", 8810 "a5.2","a6","a6.2^2","a6.2_1","a6.2_2","a6.2_3","a7","a7.2","a8","a8.2", 8811 "a9","a9.2","g2(3)","g2(3).2","g2(4)","sz(32)","sz(8)","sz(8).3","co3", 8812 "j1","j2","j2.2","j3","j3.2","p1/g1/l1/v1/ext2","p1/g3/l2/v1/ext2", 8813 "(a4x3):2","(a5x3):2","l2(11)","l2(11).2","l2(13)","l2(13).2","l2(16)", 8814 "l2(16).2","l2(16).4","l2(17)","l2(19)","l2(23)","l2(25)","l2(25).2_2", 8815 "l2(27)","l2(29)","l2(31)","l2(32)","l2(32).5","l2(8)","l2(8).3","l2(49)", 8816 "l2(81)","2^2.l3(4)","3.l3(4)","3.l3(4).2_3","l3(4)","l3(4).2^2", 8817 "l3(4).2_1","l3(4).2_2","l3(4).2_3","l3(4).3","l3(4).3.2_2","l3(4).3.2_3", 8818 "l3(4).6","l3(4).d12","2^2.l3(4).2_2","2^2.l3(4).3","l3(2)","l3(2).2", 8819 "l3(3)","l3(3).2","l3(5)","l3(7)","l3(8)","l3(9)","l4(3)","l5(2)","l2(37)", 8820 "l2(41)","l2(43)","l2(47)","l2(53)","l2(59)","l2(61)","l2(64)","l2(67)", 8821 "l2(71)","l2(73)","l2(79)","l2(83)","l2(89)","l2(97)","l2(101)","l2(103)", 8822 "l2(107)","l2(109)","l2(113)","l2(121)","l2(125)","l3(11)","m11","m12", 8823 "m12.2","m22","m22.2","m23","m24","13:3","19:3","31:3","37:3","43:3", 8824 "73:3","91:3","133:3","31:5","109:54","113:56","d14","d110","d114","d122", 8825 "d126","s6x2","s7x2","s8x2","s9x2","s5xs3","s7xs3","s8xs3","s4xs4","s5xs4", 8826 "s6xs4","s7xs4","s6xs5","d62x2","s3xl2(8)","5xa5","3xl2(8)", 8827 "5xisoclinic(2.a6.2_2)","3xu4(2)","3^(1+2)+:2a4","s3x3^(1+2)+:2a4","3x2s5", 8828 "7:3x3","m10x2","l2(8):3x2","2^2xa6","2^2xl2(7)","a4x7:3","2^4:a5", 8829 "3^(1+4)_+.2s4","2(a4xa4).2^2","3^2:2a4","(a7x3).2","(a5xa5):4", 8830 "(a6xa4).2","(a8x3).2","(a7xa4):2","(a6xa5):2","(a9x3):2","3^3:l3(3)", 8831 "3^4:2(a4xa4).2","(4xa6):2","(3x2s5).2","(3xu4(2)):2","3^4:2^3.s4(a)", 8832 "(4^2x2)(2xs4)","(4^2x2)s4","(4^2x3):s3","(7:3x3):2","(7xl2(7)):2", 8833 "(9x3).s3","(a5xa5):2^2","(a8xa4):2","(a7xa5):2","(s3xs3xa5):2","10^2:s3", 8834 "11^(1+2)+:40","11^2:(5x2l2(11).2)","11^2:60","2(a4xa4).4.2", 8835 "2(a4xa4).4.2^2","2(l2(11)x2).2","2(l2(7)x4).2","2.(2.(a4xa4).2.2)", 8836 "2.(2^5:s6)","2x3^(1+2)_+:2s4","2.(3^3:(s4x2))","2.(s3xs6)","2.(s6x2)", 8837 "2.2^6.l3(2)","d108","d112","2^(1+4)+.(s3xs3)","2^(1+8)+:l2(8)", 8838 "2^(2+4):(3xd10)","2^(2+4):15","2^(3+6):21","2^2.(3^2:2a4)","2^2.(3^2:q8)", 8839 "2^2.(3^2:q8.2)","7:3xs4","d8xl3(2)","2^2.[2^6].(s3xs3)","2^2.s6", 8840 "2^3.l3(2):2","2^6:(3xa5)","2^6:(3xa5):2","2^6:(7xl2(8))","2^6:3^3:s4", 8841 "2s5.2","3^(1+2)+.2s4","3^(1+2)+:2s4","3^(1+4)+.2^(1+4)-.s3", 8842 "3^(1+4)+.4s4","3^(2+4):80","3^2.(3x3^(1+2)+):d8","3^3:s4`","3^4:(2xa6)", 8843 "3^4:2^3.s4","3^4:gl2(9)","4(a4xa4).4","5^(1+2)+:24","5^(1+2)+:4a5", 8844 "5^(1+2)+:8","5^2:s3","5^3:(2xa5).2","5^3:62","6^2:d12","6^2:s3", 8845 "7^(1+2):48","7^2:2a4","7^2:s3","8^2:s3","2^4:s5","2.s4","23:11", 8846 "2^3:sl(3,2)","2^4:(3xa5).2","2^4:a6","2^4:a7","2x2^3:l3(2)","2^4:a8", 8847 "2^6:(psl(3,2)xs3)","2^6:3.s6","2xs5","3^2.2.s4","4^2:d12","4^2:d12.2", 8848 "a4xs3","m22.2m4","m8.s4","s4xs3","2xm11","2x3^2.2.s4","2^1+6.psl(3,2)", 8849 "2^2.psl(3,4).s3","2^4.s6","2xa6.2^2","3^(1+4):2s5","3^(1+4):4s5", 8850 "3^4:m10","4.2^4.s5","4^3:psl(3,2)","5:4xa5","5^2:4s5","7:3xpsl(3,2)", 8851 "7^2:2psl(2,7)","s4xpsl(3,2)","3^4:(m10x2)","2^4.a8","2xm12","a4xs5", 8852 "s3xpsl(2,8).3","2.[2^6]:(s3xs3)","2^5:s6","2^6:l3(2)","s3xs6","2xu3(3).2", 8853 "(3xm10):2","11:10","13:6","19:18","19:6","2^(1+4).s5","2^(2+4):(s3xs3)", 8854 "2^1+4b:a5","2^2+4.3xs3","2xa5","2xu3(3)","3^2.3^(1+2):8.2","5^2:d12", 8855 "7:6","d6xd10","(2^2xa5):2","d8.(s4x2)","l2(17)x2","a4xa5","a5xd10","j3m4", 8856 "j3m6","(a4xa5):2","(a5xd10).2","l3(2).2x2","(3^(1+2)+x3^2):2s4", 8857 "2^(1+4)+:3^2.2","a5xa5","2^(5+5):31","41:4","25:4","d62","(a6xa6):2^2", 8858 "2.2^8.f20","2^2.2^8:s3","2^{1+6}:3^{1+2}:2a4","2^(4+4):(3xa5)","3^4:s5", 8859 "4^2:s3","a5wc2","b33141","m24c2b","d120","h4","hed3","mo61","2^4:(s3xs3)", 8860 "mo62","2^6:a8","s2wrs4","s2wrs5","s3wrs3","s4","s5wrs2","twd5a","w(f4)", 8861 "3^(1+4):4s4","(3xa6).2_1","2^6:u4(2)","3^3.s4","3^4:a6","7^2:2.l2(7).2", 8862 "m22.2m3","2^3.l3(2)","o8+(2)","o8-(2)","hs","hs.2","he","he.2","mcl", 8863 "mcl.2","2^3.7.3","3^(1+2):d8","3^2.3^(1+2):8","3^2:q8","3^2:q8.2", 8864 "5^(1+2):(24:2)","5^(1+2):(8.2)","5^(1+2):3:8","5^2:(4xs3)","5^2:4a4", 8865 "7^(1+2):(s3x3)","5:4","s3x7:6","13:4","2^(3+3):7","2.s6(2)","s4(4)", 8866 "s4(4).2","s4(5)","s6(2)","2f4(2)'","2f4(2)'.2","3d4(2)","u4(3)", 8867 "u4(3).(2^2)_{133}","u4(3).2_1","u4(3).2_3","u3(3)","u3(3).2","u3(4)", 8868 "u3(4).2","u3(5)","u3(5).2","u3(5).3","u3(5).3.2","u3(7)","u3(8)","u3(9)", 8869 "2.u4(2)","2.u4(2).2","u3(11)","u4(2)","u4(2).2","u5(2)", ]; 8870 MakeImmutable( LIBLIST.TOM_TBL_INFO ); 8871fi; 8872 8873LIBLIST.projections := [ 8874 ["(2xA6).2_3","A6.2_3",[1,3,5,7,9,11,13,15,]], 8875 ["2.A10","A10",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,23,25,27,29,30,32, 8876 34,36,38,]], 8877 ["2.A10.2","A10.2",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,23,24,26,27,28, 8878 29,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,54,56,]], 8879 ["2.A11","A11",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,22,24,26,28,30,31, 8880 33,35,36,37,39,40,42,44,46,48,]], 8881 ["2.A11.2","A11.2",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,22,23,25,26,28, 8882 29,31,32,33,34,35,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57, 8883 58,60,61,62,63,64,66,67,69,71,73,]], 8884 ["2.A12","A12",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,28, 8885 30,32,33,35,37,39,41,42,44,46,48,49,50,51,52,53,55,57,59,61,62,64,]], 8886 ["2.A12.2","A12.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27, 8887 28,29,31,32,33,35,37,38,39,41,42,43,44,45,46,48,50,51,53,54,56,57,58,59,60, 8888 61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87, 8889 89,90,92,94,95,97,99,]], 8890 ["2.A13","A13",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,28, 8891 29,30,32,33,35,37,39,41,42,43,45,47,48,49,50,51,52,54,56,58,59,61,63,65,66, 8892 67,68,70,72,74,76,77,79,81,]], 8893 ["2.A13.2","A13.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27, 8894 28,29,30,32,33,34,36,38,39,40,41,43,44,45,46,47,48,49,51,52,54,56,58,59,60, 8895 61,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88, 8896 89,90,91,92,93,94,95,96,97,98,99,100,101,103,105,106,107,108,109,110,112, 8897 113,114,115,116,117,119,121,123,125,127,]], 8898 ["2.A14.2","A14.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,19,20,22,24,25,26,27, 8899 28,29,30,31,32,33,34,36,38,39,40,41,43,45,46,47,48,49,51,52,53,54,55,56,57, 8900 58,59,60,62,63,65,67,69,71,72,73,74,75,77,79,80,81,82,83,84,86,88,89,91,92, 8901 93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112, 8902 113,114,115,116,117,118,120,121,122,123,124,125,126,127,128,129,130,131, 8903 132,133,134,135,136,138,139,141,142,143,144,146,147,148,149,150,151,152, 8904 153,155,157,159,161,162,164,165,167,]], 8905 ["2.A15.2","A15.2",[1,3,4,5,6,8,10,12,14,16,17,18,19,20,21,22,24,26,28,29, 8906 30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,50,52,54,55,56,57,58,60, 8907 61,62,63,64,65,66,67,68,69,70,71,73,74,75,77,79,81,83,85,86,87,88,89,90,92, 8908 94,95,96,97,98,99,100,101,102,103,104,106,108,109,110,111,112,114,115,116, 8909 118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135, 8910 136,137,138,139,140,141,142,143,144,145,146,148,149,150,151,152,153,154, 8911 156,157,158,159,160,161,162,163,164,165,166,168,169,171,172,173,175,176, 8912 177,179,181,182,183,184,185,186,187,188,189,191,192,193,194,195,196,197, 8913 198,199,201,202,203,204,205,206,207,209,211,212,213,215,]], 8914 ["2.A16.2","A16.2",[1,3,4,5,6,7,9,11,13,15,17,18,19,20,21,22,23,24,25,27, 8915 29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56, 8916 58,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86, 8917 87,88,89,91,93,95,97,99,101,102,103,104,105,106,107,108,110,112,114,115, 8918 116,117,118,119,120,121,122,123,124,125,126,127,128,130,132,133,135,136, 8919 137,138,140,142,143,144,145,147,148,149,151,152,153,154,155,156,157,158, 8920 159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176, 8921 177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,195, 8922 196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,212,213,215, 8923 216,217,218,219,221,222,223,224,226,227,228,229,230,232,233,234,235,236, 8924 238,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,256,257, 8925 258,259,260,261,263,265,267,268,269,270,272,273,274,276,278,]], 8926 ["2.A17.2","A17.2",[1,3,4,5,6,7,9,11,13,15,17,18,19,20,21,22,23,24,25,27, 8927 29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56, 8928 57,58,60,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85, 8929 86,87,88,89,90,91,92,93,95,96,97,98,100,102,104,106,108,110,112,114,115, 8930 116,117,118,119,120,121,122,123,124,126,128,130,132,133,134,135,136,137, 8931 138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,155,157, 8932 159,161,162,163,165,166,167,168,169,170,171,173,175,177,178,179,180,181, 8933 182,183,185,186,187,188,190,191,192,193,194,195,196,197,198,199,200,201, 8934 202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219, 8935 220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237, 8936 238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255, 8937 256,257,258,259,260,261,262,263,264,266,267,268,269,270,271,272,273,274, 8938 275,276,277,279,280,281,282,283,284,285,287,289,290,291,292,293,294,295, 8939 296,297,298,299,300,301,302,303,304,305,306,307,309,310,311,313,314,315, 8940 316,317,318,319,320,322,324,325,327,328,329,330,331,332,334,336,338,340, 8941 341,343,345,346,347,349,351,353,]], 8942 ["2.A18.2","A18.2",[1,3,4,5,6,7,9,11,13,15,17,19,20,21,22,23,24,25,26,27, 8943 28,29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55, 8944 56,58,60,61,62,63,64,65,66,67,69,71,73,75,77,78,79,80,81,82,83,84,85,87,88, 8945 89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109, 8946 110,111,112,113,114,116,117,118,119,120,122,124,126,128,130,132,134,136, 8947 138,139,141,142,143,144,145,146,147,148,149,150,151,152,153,155,157,159, 8948 161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178, 8949 179,180,181,182,183,184,185,186,187,188,190,192,194,196,197,198,199,201, 8950 202,203,204,205,206,207,208,209,210,212,214,216,217,218,219,220,221,222, 8951 223,224,226,228,229,230,232,233,234,235,236,238,240,241,242,243,244,245, 8952 246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263, 8953 264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281, 8954 282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299, 8955 300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317, 8956 318,319,320,321,322,323,324,325,326,327,329,330,331,332,333,334,335,336, 8957 337,338,339,340,341,342,344,346,347,348,349,350,351,352,353,354,355,356, 8958 357,358,359,360,361,362,364,365,367,368,369,370,371,372,373,374,375,376, 8959 377,378,379,380,381,382,383,384,385,386,387,388,389,391,393,395,396,397, 8960 398,399,400,401,402,403,404,405,406,407,408,410,411,413,414,415,416,417, 8961 418,419,420,422,424,425,427,428,429,431,433,435,436,437,438,439,441,442, 8962 444,446,447,449,451,453,]], 8963 ["2.A5","A5",[1,3,4,6,8,]], 8964 ["2.A5.2","A5.2",[1,3,4,6,8,9,11,]], 8965 ["2.A6","A6",[1,3,4,6,8,10,12,]], 8966 ["2.A6.2_1","A6.2_1",[1,3,4,6,8,9,11,12,13,14,16,]], 8967 ["2.A6.2_2","A6.2_2",[1,3,4,6,8,10,12,13,15,17,19,]], 8968 ["2.A7","A7",[1,3,4,6,8,10,12,13,15,]], 8969 ["2.A7.2","A7.2",[1,3,4,6,8,9,11,12,14,15,16,17,18,20,22,]], 8970 ["2.A8","A8",[1,3,4,5,7,9,10,11,13,14,16,18,20,22,]], 8971 ["2.A8.2","A8.2",[1,3,4,5,7,9,10,11,13,14,15,17,19,20,21,22,23,24,25,26,28, 8972 30,]], 8973 ["2.A9","A9",[1,3,4,5,7,9,11,12,13,15,16,18,20,22,24,25,27,29,]], 8974 ["2.A9.2","A9.2",[1,3,4,5,7,9,11,12,13,15,16,17,19,21,22,23,25,26,27,28,29, 8975 30,31,32,33,35,37,38,39,41,]], 8976 ["3.A6","A6",[1,4,7,8,9,12,15,]], 8977 ["3.A6.2_3","A6.2_3",[1,4,7,8,11,14,17,20,]], 8978 ["3.A7","A7",[1,4,7,8,9,12,15,18,21,]], 8979 ["4.A6.2_3","(2xA6).2_3",[1,3,4,5,6,8,10,11,13,15,17,18,19,20,21,22,]], 8980 ["6.A6","A6",[1,7,10,12,14,20,26,]], 8981 ["6.A7","A7",[1,7,10,12,14,20,26,29,35,]], 8982 ["2.F4(2)","F4(2)",[1,3,5,7,9,11,13,15,17,18,19,21,23,25,27,28,29,31,33,35, 8983 37,38,39,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,71,73,75,77,79,80, 8984 81,82,83,85,87,89,91,93,95,97,99,100,101,103,105,107,109,111,113,115,117, 8985 118,119,121,122,123,125,127,129,131,133,135,137,138,139,141,143,145,147, 8986 149,151,153,155,157,159,161,163,165,167,169,]], 8987 ["2.F4(2).2","F4(2).2",[1,3,5,7,9,11,13,14,16,18,19,20,22,24,26,27,28,29, 8988 31,33,35,37,39,41,43,45,47,48,50,52,53,54,55,57,59,61,63,65,66,68,70,72,74, 8989 75,77,78,79,81,83,85,87,89,90,91,93,95,97,98,100,102,104,106,108,109,110, 8990 111,112,113,114,116,117,119,120,121,122,123,125,126,127,129,131,132,134, 8991 136,138,140,142,144,146,148,150,]], 8992 ["2.G2(4)","G2(4)",[1,3,5,6,8,10,12,13,14,16,18,20,22,24,25,27,28,30,32,34, 8993 35,36,38,39,40,42,44,46,48,50,52,54,]], 8994 ["2.G2(4).2","G2(4).2",[1,3,5,6,8,10,12,13,14,16,18,20,21,23,24,26,28,29, 8995 31,32,33,35,37,39,41,42,43,45,46,47,48,50,51,52,54,56,58,60,62,64,]], 8996 ["2.Sz(8)","Sz(8)",[1,3,4,5,6,8,10,12,14,16,18,]], 8997 ["3.G2(3)","G2(3)",[1,4,7,8,9,10,11,12,15,18,19,20,21,22,25,28,31,32,33,34, 8998 37,40,43,]], 8999 ["2.Co1","Co1",[1,3,5,6,7,9,11,13,15,17,18,20,21,22,23,25,27,29,31,32,34, 9000 36,38,40,41,42,43,45,47,48,49,51,52,54,55,57,59,61,63,64,65,67,69,70,72,74, 9001 75,76,78,80,81,82,84,86,87,89,90,91,93,94,96,98,100,102,104,106,107,109, 9002 111,113,115,117,118,120,122,124,126,128,130,132,133,135,136,137,138,140, 9003 141,143,145,147,148,149,151,153,155,157,159,161,163,165,166,]], 9004 ["2.J2","J2",[1,3,5,6,8,10,12,14,16,18,20,22,23,25,27,28,29,31,33,35,37,]], 9005 ["2.J2.2","J2.2",[1,3,5,6,8,10,12,14,16,18,19,21,22,23,25,27,29,30,31,33, 9006 34,36,37,39,41,43,45,]], 9007 ["3.J3","J3",[1,4,7,10,11,14,17,20,23,26,27,28,29,32,35,38,41,44,47,50,53, 9008 ]], 9009 ["2.Fi22","Fi22",[1,3,5,7,8,10,12,14,16,17,19,20,22,23,25,27,29,31,33,35, 9010 36,38,40,42,44,46,48,49,50,51,53,55,57,59,61,63,65,67,68,70,71,73,75,77,79, 9011 80,81,83,85,87,89,91,93,94,95,97,99,101,103,105,107,109,111,112,113,]], 9012 ["2.Fi22.2","Fi22.2",[1,3,4,6,7,9,11,13,15,16,17,18,20,21,23,24,25,27,29, 9013 30,31,32,34,36,37,39,41,42,43,44,45,47,49,51,52,54,56,57,59,60,61,63,65,66, 9014 67,68,70,72,73,75,76,78,79,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,98, 9015 100,101,102,103,104,105,107,109,110,111,112,113,114,115,116,117,118,119, 9016 120,121,122,123,124,125,126,127,129,130,131,132,134,135,136,138,139,140, 9017 141,142,143,145,146,147,149,]], 9018 ["3.Fi22","Fi22",[1,4,7,10,13,16,17,18,19,22,25,28,31,34,37,40,43,46,49,50, 9019 53,54,55,58,59,60,63,66,69,72,75,78,79,80,83,86,89,92,95,98,101,104,105, 9020 106,107,110,113,116,117,120,123,126,129,132,135,138,141,142,145,148,151, 9021 154,157,160,163,]], 9022 ["6.Fi22","Fi22",[1,7,13,19,22,28,30,32,34,37,43,46,52,55,61,67,73,79,85, 9023 87,90,92,94,100,102,104,110,113,116,119,125,131,133,135,141,147,153,159, 9024 162,168,171,177,179,181,183,186,189,195,197,203,209,215,221,224,227,233, 9025 239,241,247,253,259,265,271,274,277,]], 9026 ["3.F3+","F3+",[1,4,7,10,11,14,17,18,19,22,25,28,31,34,37,40,41,44,47,50, 9027 53,56,57,58,61,64,67,70,73,74,77,78,79,80,83,86,89,92,93,96,97,100,103,104, 9028 107,110,111,112,115,118,121,124,127,130,133,136,139,142,145,146,149,150, 9029 153,154,157,160,163,166,169,170,171,174,177,180,183,186,187,188,189,190, 9030 193,196,199,202,203,204,205,208,211,214,217,220,223,226,229,230,231,232, 9031 235,236,237,238,239,242,245,248,251,254,]], 9032 ["2.S3","S3",[1,3,5,]], 9033 ["2.Symm(4)","Symm(4)",[1,3,4,6,7,]], 9034 ["2.D8","D8",[1,3,4,6,7,]], 9035 ["2x7:3","7:3",[1,3,5,7,9,]], 9036 ["3^(1+2)_+:2","3^2:2",[1,4,5,6,7,8,]], 9037 ["3^(1+2)_+","3^2",[1,4,5,6,7,8,9,10,11,]], 9038 ["2.L2(11)","L2(11)",[1,3,4,6,8,10,12,14,]], 9039 ["2.L2(11).2","L2(11).2",[1,3,4,6,8,10,12,14,15,17,19,21,23,]], 9040 ["2.L2(13)","L2(13)",[1,3,4,6,8,10,12,14,16,]], 9041 ["2.L2(13).2","L2(13).2",[1,3,4,6,8,10,12,14,16,17,19,21,23,25,27,]], 9042 ["2.L2(17)","L2(17)",[1,3,4,6,8,10,12,14,16,18,20,]], 9043 ["2.L2(17).2","L2(17).2",[1,3,4,6,8,10,12,14,16,18,20,21,23,25,27,29,31,33, 9044 35,]], 9045 ["2.L2(19)","L2(19)",[1,3,4,6,8,10,12,14,16,18,20,22,]], 9046 ["2.L2(19).2","L2(19).2",[1,3,4,6,8,10,12,14,16,18,20,22,23,25,27,29,31,33, 9047 35,37,39,]], 9048 ["2.L2(23)","L2(23)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,]], 9049 ["2.L2(23).2","L2(23).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,27,29,31,33, 9050 35,37,39,41,43,45,47,]], 9051 ["2.L2(25)","L2(25)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,]], 9052 ["2.L2(25).2_1","L2(25).2_1",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,29, 9053 31,33,35,37,39,41,43,45,47,49,51,]], 9054 ["2.L2(25).2_2","L2(25).2_2",[1,3,4,6,7,9,11,12,14,16,18,20,21,22,23,24,25, 9055 27,]], 9056 ["2.L2(27)","L2(27)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,]], 9057 ["2.L2(27).2","L2(27).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,31,33, 9058 35,37,39,41,43,45,47,49,51,53,55,]], 9059 ["2.L2(27).3","L2(27).3",[1,3,4,6,8,10,12,14,16,18,20,21,22,24,26,28,]], 9060 ["2.L2(27).6","L2(27).6",[1,3,4,6,8,10,12,14,15,17,19,21,23,25,27,29,30,31, 9061 33,35,36,37,39,]], 9062 ["2.L2(29)","L2(29)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,]], 9063 ["2.L2(29).2","L2(29).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,33, 9064 35,37,39,41,43,45,47,49,51,53,55,57,59,]], 9065 ["2.L2(31)","L2(31)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,]], 9066 ["2.L2(31).2","L2(31).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34, 9067 35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,]], 9068 ["2.L2(49)","L2(49)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36, 9069 38,40,42,44,46,48,50,52,]], 9070 ["2.L2(49).2_1","L2(49).2_1",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30, 9071 32,34,36,38,40,42,44,46,48,50,52,53,55,57,59,61,63,65,67,69,71,73,75,77,79, 9072 81,83,85,87,89,91,93,95,97,99,]], 9073 ["2.L2(49).2_2","L2(49).2_2",[1,3,4,6,8,10,11,13,15,16,17,19,21,23,25,27, 9074 29,31,33,34,35,36,37,38,39,40,42,]], 9075 ["2.L2(81)","L2(81)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36, 9076 38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,]], 9077 ["2.L2(81).2_1","L2(81).2_1",[1,3,4,6,8,10,12,14,15,16,17,18,20,22,24,26, 9078 28,30,32,34,36,38,40,42,44,46,48,50,51,52,53,55,57,58,59,60,61,62,]], 9079 ["2.L2(81).2_2","L2(81).2_2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30, 9080 32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80, 9081 82,84,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119,121, 9082 123,125,127,129,131,133,135,137,139,141,143,145,147,149,151,153,155,157, 9083 159,161,163,]], 9084 ["2.L2(81).4_1","L2(81).4_1",[1,3,4,6,8,9,11,12,13,15,17,19,21,23,25,27,29, 9085 30,31,32,34,36,37,38,39,40,41,42,43,44,45,47,49,51,]], 9086 ["12_1.L3(4)","L3(4)",[1,13,19,23,29,32,35,47,59,71,]], 9087 ["12_2.L3(4)","L3(4)",[1,13,19,23,35,38,41,53,65,77,]], 9088 ["2.L3(4)","L3(4)",[1,3,5,7,9,10,11,13,15,17,]], 9089 ["2.L3(4).2_1","L3(4).2_1",[1,3,5,7,9,10,11,13,15,16,17,19,21,23,]], 9090 ["2.L3(4).2_2","L3(4).2_2",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,]], 9091 ["2.L3(4).2_3","L3(4).2_3",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,]], 9092 ["3.L3(4)","L3(4)",[1,4,7,8,11,14,17,20,23,26,]], 9093 ["3.L3(4).2_1","L3(4).2_1",[1,4,7,8,11,14,17,20,23,26,29,30,33,36,]], 9094 ["3.L3(4).3","L3(4).3",[1,4,7,8,11,14,17,20,23,26,29,30,31,34,37,40,43,46, 9095 49,52,55,58,]], 9096 ["3.L3(4).6","L3(4).6",[1,4,7,8,11,14,17,20,23,24,27,30,33,34,35,38,41,44, 9097 47,50,53,56,59,60,61,64,]], 9098 ["4_1.L3(4)","L3(4)",[1,5,7,11,13,14,15,19,23,27,]], 9099 ["4_1.L3(4).2_3","L3(4).2_3",[1,5,7,11,13,14,18,22,26,30,34,36,38,42,]], 9100 ["4_2.L3(4)","L3(4)",[1,5,7,11,15,16,17,21,25,29,]], 9101 ["4_2.L3(4).2_2","L3(4).2_2",[1,5,7,11,15,16,20,24,28,32,34,38,42,46,]], 9102 ["6.L3(4)","L3(4)",[1,7,13,15,21,24,27,33,39,45,]], 9103 ["6.L3(4).2_1","L3(4).2_1",[1,7,13,15,21,24,27,33,39,42,45,47,53,59,]], 9104 ["2.L3(2)","L3(2)",[1,3,4,6,8,10,]], 9105 ["2.L3(2).2","L3(2).2",[1,3,4,6,8,10,11,13,15,]], 9106 ["3.L3(7)","L3(7)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53, 9107 56,59,62,]], 9108 ["3.L3(7).3","L3(7).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50, 9109 53,56,59,62,65,66,67,70,73,76,79,82,85,88,91,94,97,100,103,106,109,112,115, 9110 118,121,124,127,130,133,136,139,142,145,148,151,154,157,160,163,166,]], 9111 ["2.L4(3)","L4(3)",[1,3,4,5,7,9,11,13,15,17,18,20,21,22,24,25,26,28,30,32, 9112 34,36,38,40,42,44,46,48,50,]], 9113 ["2.L4(3).2_1","L4(3).2_1",[1,3,4,5,7,9,11,13,15,16,18,19,21,22,24,26,28, 9114 30,32,34,36,38,40,42,44,46,47,49,51,53,55,56,57,59,61,63,65,67,69,71,73,75, 9115 77,]], 9116 ["2.L4(3).2_2","L4(3).2_2",[1,3,4,5,7,9,11,13,14,16,17,19,20,21,23,24,25, 9117 26,28,30,31,32,33,35,37,39,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,59, 9118 60,61,62,64,65,66,68,]], 9119 ["2.L4(3).2_3","L4(3).2_3",[1,3,4,5,7,9,11,12,14,15,17,18,20,21,22,24,25, 9120 27,29,31,33,35,36,37,39,40,41,42,43,44,45,46,48,50,]], 9121 ["2.L4(5)","L4(5)",[1,3,5,7,9,11,12,14,16,18,20,22,24,26,28,30,32,34,36,38, 9122 40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88, 9123 90,92,94,96,]], 9124 ["12.M22","M22",[1,13,19,23,29,32,44,50,62,74,86,98,]], 9125 ["2.M12","M12",[1,3,4,6,8,10,11,12,14,15,17,19,21,23,25,]], 9126 ["2.M12.2","M12.2",[1,3,4,6,8,10,11,13,14,16,18,19,21,22,24,26,27,28,29,31, 9127 33,]], 9128 ["2.M22","M22",[1,3,5,7,9,10,12,14,16,18,20,22,]], 9129 ["2.M22.2","M22.2",[1,3,5,7,9,10,12,14,16,18,19,21,23,24,26,27,29,30,32,34, 9130 36,]], 9131 ["3.M22","M22",[1,4,7,8,11,14,17,20,23,26,29,32,]], 9132 ["4.M22","M22",[1,5,7,11,13,14,18,20,24,28,32,36,]], 9133 ["6.M22","M22",[1,7,13,15,21,24,30,36,42,48,54,60,]], 9134 ["3^(1+2)_+:Q8","3^2:Q8",[1,4,7,8,11,14,]], 9135 ["2.(A5xA5).4","(A5xA5):4",[1,3,4,5,7,9,11,13,14,15,17,18,19,21,23,24,26, 9136 27,28,30,32,34,]], 9137 ["2.(A6xA4).2","(A6xA4).2",[1,3,4,6,7,9,11,12,14,15,16,17,18,19,21,23,24, 9138 26,28,30,31,32,33,34,35,36,37,38,40,]], 9139 ["2.(A7xA4).2","(A7xA4):2",[1,3,4,6,7,8,10,12,14,16,17,18,20,21,22,23,24, 9140 25,26,28,29,31,32,34,36,38,39,40,41,42,43,44,45,46,47,48,49,51,53,]], 9141 ["2.(A6xA5).2","(A6xA5):2",[1,3,4,6,8,9,10,12,14,16,18,19,20,22,24,26,27, 9142 28,29,30,31,32,34,36,38,40,41,42,43,44,45,46,47,48,49,50,52,54,55,57,]], 9143 ["2.2^(1+8)_+:(S3xS3xS3)","2^(1+8)_+:(S3xS3xS3)",[1,3,4,6,7,8,10,11,12,13, 9144 15,17,19,21,23,25,27,28,30,32,33,35,36,37,39,41,42,43,45,46,48,50,51,53,54, 9145 56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,82, 9146 83,84,85,87,89,90,92,93,95,97,99,101,102,103,105,106,107,108,109,110,111, 9147 112,113,114,115,116,117,118,119,120,121,122,]], 9148 ["(2x3^4:2^3).S4","3^4:2^3.S4(a)",[1,3,5,7,9,11,13,14,15,16,18,20,22,24,25, 9149 26,27,28,30,32,34,36,38,40,41,43,44,45,47,48,49,50,52,54,55,56,58,60,62,]], 9150 ["2.(A5xA5).2^2","O8+(2)M16",[1,3,4,5,7,9,11,13,15,16,18,20,21,22,23,24,26, 9151 28,30,31,33,35,37,39,40,]], 9152 ["2.M22M5","2^4:s5",[1,3,5,7,9,10,12,14,16,18,20,22,]], 9153 ["2.M22M2","2^4:a6",[1,3,5,7,9,10,12,14,16,18,20,22,]], 9154 ["3.M22M2","2^4:a6",[1,4,7,10,13,16,17,20,21,24,27,30,]], 9155 ["4.M22M2","2^4:a6",[1,5,7,9,11,12,16,18,22,24,28,32,]], 9156 ["6.M22M2","2^4:a6",[1,7,13,19,25,28,30,36,38,44,50,56,]], 9157 ["12.M22M2","2^4:a6",[1,13,19,25,31,34,38,44,48,54,66,78,]], 9158 ["3.2^4:a7","2^4:a7",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,]], 9159 ["4.M22M5","2^4:s5",[1,5,7,9,11,12,16,20,22,24,26,30,]], 9160 ["4.M22M6","2x2^3:L3(2)",[1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,23, 9161 25,27,29,31,]], 9162 ["(3^2:4x2.A6).2","(3^2:4xa6).2",[1,3,5,7,9,10,11,12,13,15,17,19,21,23,25, 9163 27,29,30,32,33,35,37,39,41,43,45,47,48,49,50,51,52,53,55,57,59,]], 9164 ["2.(A4xL3(4)).2","(a4xpsl(3,4)):2",[1,3,5,7,9,10,11,13,15,16,17,18,19,20, 9165 21,22,23,25,27,29,31,32,33,35,37,39,41,42,43,44,45,46,48,49,51,52,54,55,]], 9166 ["2.(2^2xSz(8)):3","(2^2xSz(8)):3",[1,3,5,7,9,11,13,15,16,17,18,19,20,21, 9167 22,23,24,25,26,28,30,32,34,36,38,40,42,44,]], 9168 ["2.2.2^4+6:S5","2.2^4+6:S5",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,30, 9169 31,32,34,36,37,38,40,42,44,46,47,49,50,51,53,54,55,56,58,60,62,64,65,67,69, 9170 71,73,75,76,77,79,80,82,]], 9171 ["2.2^3+8:L3(2)","2^3+8:L3(2)",[1,3,5,7,8,10,12,13,14,16,17,19,21,23,25,26, 9172 27,28,29,30,31,32,33,34,36,38,40,42,44,45,47,49,51,53,55,]], 9173 ["2.2^6:u3(3):2","2^6:u3(3):2",[1,3,5,7,9,10,12,14,16,18,19,21,22,23,25,27, 9174 29,31,33,35,37,39,40,41,42,44,46,48,50,52,]], 9175 ["2.SuzM4","2^1+6.u4q2",[1,3,5,7,9,11,12,13,15,16,17,18,19,21,23,25,27,29, 9176 31,33,35,37,39,41,43,45,47,49,50,51,52,54,56,58,60,62,64,66,68,70,72,73,75, 9177 76,78,80,82,84,85,87,89,91,93,95,97,99,101,]], 9178 ["2^1+8.2.A9","2^1+8.a9",[1,3,5,7,9,11,12,14,15,16,18,20,22,24,26,28,30,32, 9179 34,36,38,40,41,43,44,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79, 9180 81,83,85,87,89,91,93,95,97,]], 9181 ["2.SuzM9","2^2+8(a5xs3)",[1,3,5,7,8,10,11,12,13,15,16,17,19,21,23,25,27, 9182 29,30,32,34,36,38,40,41,43,44,46,48,50,52,54,55,56,57,58,59,61,63,64,65,67, 9183 69,71,73,75,77,79,81,]], 9184 ["2.SuzM7","2^4+6:3a6",[1,3,5,6,8,9,11,13,15,17,19,20,22,23,24,25,26,28,30, 9185 32,33,35,37,38,40,41,43,45,47,49,51,53,55,57,58,59,61,63,65,67,69,70,72,74, 9186 76,77,79,]], 9187 ["2.2^4.S6","2^4.s6",[1,3,5,7,9,10,12,14,16,17,19,21,23,24,26,28,29,30,32, 9188 34,36,]], 9189 ["2.HSM11","2xa6.2^2",[1,3,5,7,9,11,12,13,15,16,17,19,20,21,22,23,25,26,27, 9190 28,29,31,32,34,36,37,]], 9191 ["3.3^(1+4):2S5","3^(1+4):2S5",[1,4,7,8,11,14,17,20,23,26,27,28,31,34,37, 9192 40,43,46,49,52,55,58,61,64,]], 9193 ["3.2^(2+4):(3x3):2","2^(2+4):(3x3):2",[1,4,7,10,13,16,17,18,19,20,23,26, 9194 29,32,35,38,41,]], 9195 ["3.ONM5","ONM5",[1,4,5,8,11,14,15,18,21,22,23,24,25,26,27,30,31,34,37,40, 9196 41,42,45,48,51,54,57,60,63,66,]], 9197 ["3.3^4:m10","3^4:m10",[1,4,7,8,11,14,17,18,19,20,21,22,25,28,31,34,37,40, 9198 ]], 9199 ["3.3^4.3^2.Q8","3^4.3^2.Q8",[1,4,7,8,11,14,15,16,17,18,19,22,25,28,31,34, 9200 37,40,43,46,49,]], 9201 ["3^6.M11","3^5:M11",[1,4,7,10,13,16,19,22,25,28,29,32,35,38,41,44,47,50, 9202 53,56,59,62,65,68,]], 9203 ["2.HSM10","4.2^4.S5",[1,3,5,7,8,10,11,12,14,16,18,20,22,24,26,28,30,32,34, 9204 36,38,39,40,41,42,44,46,48,]], 9205 ["2.4^3.L3(2)","4^3:psl(3,2)",[1,3,5,7,8,10,11,12,13,15,17,19,21,23,24,25, 9206 26,27,29,]], 9207 ["(A4x3.L3(4)).2","(a4xpsl(3,4)):2",[1,4,7,8,11,14,17,20,23,26,29,30,33,36, 9208 39,42,45,48,51,52,55,58,61,64,67,70,73,76,79,82,85,86,87,90,93,96,99,102, 9209 ]], 9210 ["3.3^(2+4):2(A4x2^2).2","3^2+4:2(2^2xa4)2",[1,4,7,10,13,14,17,20,23,26,29, 9211 32,35,38,39,42,45,48,51,54,57,60,63,66,69,72,73,74,77,80,83,86,89,92,95,98, 9212 101,104,107,110,113,116,119,122,125,128,131,134,137,]], 9213 ["(3.A6xA5):2","(a6xa5).2",[1,4,7,8,11,14,17,20,21,24,27,30,33,34,37,40,43, 9214 46,47,48,51,54,57,60,63,66,69,72,75,78,81,]], 9215 ["(3^(1+2):4xA6).2","(3^2:4xa6).2",[1,4,5,8,11,14,15,18,21,24,25,28,31,34, 9216 35,38,41,44,45,48,51,54,55,56,59,62,65,68,71,74,77,80,83,86,89,92,]], 9217 ["2.SuzM11","3^2+4:2(2^2xa4)2",[1,3,5,7,9,11,13,15,17,19,21,23,25,26,28,30, 9218 32,34,36,38,40,42,44,46,48,50,52,54,56,57,59,60,62,64,66,68,70,72,74,76,78, 9219 80,82,84,86,88,90,92,94,]], 9220 ["6.SuzM8","(a4xpsl(3,4)):2",[1,7,13,15,21,24,27,33,39,42,45,46,49,52,55, 9221 58,61,67,73,75,81,84,87,93,99,105,111,114,117,120,123,124,126,129,135,138, 9222 144,147,]], 9223 ["6.SuzM11","3^2+4:2(2^2xa4)2",[1,7,13,19,25,27,33,39,45,51,57,63,69,72,74, 9224 80,86,92,98,104,110,116,122,128,134,140,142,144,150,153,159,162,168,174, 9225 180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,]], 9226 ["(3^(1+2):4x2.A6).2","(3^2:4xa6).2",[1,7,9,15,21,24,25,28,31,37,39,45,51, 9227 57,59,65,71,74,76,79,85,91,93,95,101,107,113,116,119,122,125,128,131,137, 9228 143,149,]], 9229 ["(A6x2.A5).2","(a6xa5).2",[1,3,5,7,9,11,12,13,14,15,16,18,20,22,24,26,28, 9230 30,32,34,36,38,40,41,42,43,45,47,49,51,53,]], 9231 ["(3.A6x2.A5).2","(a6xa5).2",[1,7,13,15,21,27,30,33,34,37,40,46,52,54,60, 9232 66,72,78,80,82,88,94,100,103,106,109,115,121,127,133,139,]], 9233 ["2.2^11:M24","2^11:M24",[1,3,5,6,8,9,11,12,13,15,16,17,18,19,20,22,24,26, 9234 27,29,30,31,32,33,34,35,36,38,39,41,42,43,44,46,47,48,49,50,52,54,55,57,58, 9235 60,61,62,64,65,66,67,69,71,73,75,77,78,80,81,82,83,84,86,88,89,90,91,92,93, 9236 94,96,98,100,102,104,106,108,110,112,114,116,]], 9237 ["2^(1+12).3_1.U4(3).2_2'","2^12.3_1.U4(3).2_2'",[1,3,4,5,6,8,10,11,12,13, 9238 14,15,17,19,21,22,23,25,26,27,28,29,31,32,34,35,36,38,39,40,41,43,44,45,47, 9239 48,49,50,51,52,54,55,56,57,58,60,62,64,65,66,68,69,70,72,73,75,76,77,79,80, 9240 82,84,86,87,88,90,92,93,95,97,98,99,100,102,104,106,108,109,111,112,113, 9241 114,115,116,117,118,119,120,121,123,124,125,126,127,129,131,133,134,135, 9242 137,138,139,141,142,143,144,145,147,148,149,150,151,152,154,155,156,157, 9243 159,161,162,163,164,166,]], 9244 ["2^12.3^2.U4(3).2_2'","2^12.3_1.U4(3).2_2'",[1,4,7,10,13,16,19,22,25,28, 9245 31,34,37,40,43,46,49,50,53,54,55,56,57,58,61,64,67,68,69,70,71,74,77,80,83, 9246 86,89,92,95,98,101,104,107,110,113,116,119,122,125,128,131,134,137,140,143, 9247 146,149,152,155,158,161,164,167,170,173,176,177,178,179,180,183,184,185, 9248 188,191,194,197,200,203,206,209,212,215,218,221,224,227,230,233,236,239, 9249 242,245,248,251,254,257,260,263,266,269,270,271,274,275,276,277,278,279, 9250 280,283,286,289,292,295,298,301,304,307,310,313,316,319,]], 9251 ["3.2^(1+12).3U4(3).2","2^12.3_1.U4(3).2_2'",[1,7,10,13,16,22,28,31,34,37, 9252 40,43,49,55,61,64,67,69,72,73,74,75,77,78,84,87,90,92,93,94,95,101,104,107, 9253 113,116,119,122,125,128,134,137,140,143,146,152,158,164,167,170,176,179, 9254 182,188,191,197,200,203,209,212,218,224,230,233,236,242,244,245,247,249, 9255 252,253,254,260,266,272,278,281,287,290,293,296,299,302,305,308,311,314, 9256 317,323,326,329,332,335,341,347,353,356,359,365,368,369,371,374,375,376, 9257 377,379,380,381,384,387,390,396,399,402,405,411,417,420,423,426,432,]], 9258 ["(2^(1+8)x2^6):S6(2)","(2^6x2^8):S6(2)",[1,3,5,6,7,8,9,10,11,12,13,14,16, 9259 18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,45, 9260 47,48,49,50,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,69,71,72,74,75,76, 9261 78,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,97,99,100,101,102,103,105, 9262 106,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,124,125, 9263 126,127,128,129,130,132,134,135,136,138,140,141,143,145,146,148,150,151, 9264 152,154,156,157,158,160,162,163,164,165,167,169,171,173,174,175,176,177, 9265 178,179,180,182,183,184,185,187,188,189,190,191,193,194,195,196,198,200, 9266 202,203,205,206,208,209,210,212,213,]], 9267 ["2.(A4xU4(2))","A4xU4(2)",[1,3,4,5,7,9,11,13,15,16,18,20,22,23,24,26,27, 9268 29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57, 9269 58,59,61,63,65,67,69,70,72,74,76,77,78,80,81,83,85,87,89,91,92,93,95,97,99, 9270 101,103,104,106,108,110,111,112,114,115,117,119,121,]], 9271 ["2^{1+4}_-:2A5","2^1+4b:a5",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,28,30, 9272 ]], 9273 ["2^{3+4}:(3xS3)","2^2+4.3xs3",[1,3,5,6,8,10,12,14,16,18,20,21,23,24,26,28, 9274 30,32,34,36,]], 9275 ["3.3^5.U4(2)","3^5.U4(2)",[1,4,7,8,9,12,13,16,19,22,25,26,27,28,29,32,35, 9276 36,37,38,39,42,43,44,47,50,53,56,59,60,61,64,67,68,71,74,75,76,77,78,79,80, 9277 81,82,83,84,85,]], 9278 ["2^1+24.Co1","2^24.Co1",[1,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20, 9279 21,23,25,26,27,28,30,31,32,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51, 9280 52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,77,78,79, 9281 81,82,84,85,86,88,89,90,92,93,94,95,96,97,99,100,101,102,103,104,105,106, 9282 107,108,109,110,111,112,114,116,117,118,119,120,121,122,123,124,125,126, 9283 128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,144,145,146, 9284 147,148,150,152,153,155,156,157,159,160,161,162,164,165,166,168,169,170, 9285 171,172,173,174,175,177,178,179,180,181,183,184,185,187,188,190,191,192, 9286 193,194,195,196,198,199,200,201,202,204,205,206,207,208,209,210,211,212, 9287 214,215,216,217,218,219,220,222,223,225,226,227,228,229,230,231,232,233, 9288 235,237,239,241,242,243,244,245,247,248,249,250,251,252,253,255,256,257, 9289 259,261,262,264,265,267,268,269,270,272,273,274,275,277,279,281,282,283, 9290 284,286,287,288,289,291,292,293,294,296,297,298,299,300,302,303,304,305, 9291 306,307,308,310,311,312,313,314,316,317,318,319,321,323,324,325,327,328, 9292 329,330,332,333,334,335,337,339,341,343,345,347,348,]], 9293 ["2^1+24.2.Co1","2^1+24.Co1",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,28,30, 9294 31,33,34,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77, 9295 78,80,81,82,84,86,88,90,92,94,96,98,100,102,103,104,106,107,108,110,111, 9296 113,114,116,117,118,119,121,123,125,127,129,131,133,135,137,139,141,143, 9297 145,147,149,151,153,155,157,159,161,163,165,167,169,171,173,175,177,179, 9298 181,183,185,187,188,190,191,193,195,196,198,199,200,202,204,206,208,210, 9299 212,214,216,218,220,221,223,224,225,227,229,231,233,235,237,238,239,241, 9300 242,244,246,248,250,252,254,256,258,260,262,264,265,266,268,270,272,274, 9301 276,278,280,282,284,286,288,290,292,293,295,297,299,301,303,305,307,309, 9302 311,312,313,315,317,319,321,323,325,327,329,331,333,335,337,339,341,343, 9303 345,347,349,351,353,355,356,357,359,361,363,365,367,369,371,373,375,377, 9304 379,381,383,384,386,387,389,391,393,395,396,398,399,400,402,404,406,408, 9305 410,412,414,416,418,420,422,424,426,428,430,432,434,436,438,440,442,444, 9306 446,448,450,452,454,456,458,460,462,463,465,467,469,471,473,475,477,479, 9307 481,483,485,487,489,491,493,495,496,498,500,502,504,506,508,510,512,514, 9308 516,518,520,522,524,526,528,530,532,534,536,538,540,542,544,546,548,550, 9309 552,554,556,558,560,562,564,565,567,569,570,572,574,576,578,580,582,584, 9310 586,588,590,592,594,596,598,600,602,604,606,608,610,612,614,616,618,620, 9311 622,624,626,628,630,632,634,636,638,640,642,644,646,648,650,652,654,]], 9312 ["O8+(3)M27","(A4wr2^2):2",[1,3,4,5,6,7,8,9,11,12,14,15,17,18,20,22,23,24, 9313 26,28,29,30,32,33,35,36,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,58, 9314 60,61,62,64,65,66,67,69,70,71,72,74,75,76,77,79,81,83,85,86,87,89,91,93,94, 9315 96,97,99,100,102,103,105,106,108,109,110,112,114,116,118,120,121,123,124, 9316 126,127,128,130,131,133,134,136,]], 9317 ["2.L2(3)","a4",[1,3,4,6,]], 9318 ["2.Fi22M5","2^10:m22",[1,3,5,7,8,10,11,13,14,15,17,18,19,20,21,22,23,24, 9319 25,27,29,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,63,64,65,66,68, 9320 ]], 9321 ["3.Fi22M5","2^10:m22",[1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52, 9322 55,58,61,64,65,66,67,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113, 9323 116,119,]], 9324 ["6.Fi22M5","2^10:m22",[1,7,13,19,22,28,31,37,40,43,49,52,55,58,61,64,67, 9325 70,73,79,85,88,90,92,94,96,102,108,114,120,126,132,138,144,150,156,162,168, 9326 171,174,177,180,186,]], 9327 ["2^(1+6)_+.A8","2^6:A8",[1,3,4,5,6,7,9,10,11,12,13,15,16,17,19,20,21,23, 9328 24,25,26,27,28,29,31,32,33,34,36,38,39,40,42,43,44,46,47,48,50,52,54,]], 9329 ["Q8","V4",[1,3,4,5,]], 9330 ["2.B","B",[1,3,4,6,7,8,10,12,13,14,15,16,18,19,20,21,22,23,25,27,28,29,31, 9331 32,33,34,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,60,62, 9332 63,65,66,68,69,71,73,74,75,76,77,78,80,81,82,83,85,86,87,88,90,91,92,93,94, 9333 96,97,99,100,101,102,104,105,107,109,110,111,112,113,114,115,116,118,120, 9334 121,122,124,125,127,128,130,131,132,133,134,135,136,138,139,140,141,143, 9335 145,147,149,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166, 9336 168,169,170,172,173,174,175,176,178,179,180,181,183,184,186,188,190,192, 9337 194,195,196,197,198,200,201,202,203,205,206,207,209,211,213,214,215,216, 9338 217,219,220,221,222,224,226,228,230,232,233,234,236,238,239,240,241,242, 9339 244,246,]], 9340 ["2.2^(2+8).(3xA5)","2^(2+8):(3xA5)",[1,3,5,7,8,10,11,12,14,16,17,19,21,22, 9341 24,25,26,28,30,32,34,36,37,38,40,42,43,44,46,48,50,52,54,56,58,]], 9342 ["2.U6(2)M3","2^9.L3(4)",[1,3,5,7,8,10,12,13,14,15,17,18,19,20,22,24,26,28, 9343 30,31,32,34,35,36,37,38,39,40,41,42,44,46,48,50,52,]], 9344 ["3.U6(2)M3","2^9.L3(4)",[1,4,7,10,13,16,19,22,25,28,31,34,37,40,41,42,45, 9345 48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,]], 9346 ["6.U6(2)M3","2^9.L3(4)",[1,7,13,19,22,28,34,37,40,43,49,52,55,58,60,62,68, 9347 74,80,83,86,92,95,98,101,104,107,110,113,116,122,128,134,140,146,]], 9348 ["3^(1+4).2U4(2)","3^4.2U4(2)",[1,4,5,8,11,12,15,18,19,20,23,26,27,28,31, 9349 34,35,36,39,42,43,44,45,48,51,52,55,58,61,64,67,68,71,72,75,76,79,80,83,84, 9350 87,88,91,92,95,96,99,102,103,106,109,110,113,116,117,120,123,124,]], 9351 ["2^(1+8):S8","2^8:S8",[1,3,4,5,6,7,8,9,10,11,12,14,15,16,18,19,21,22,23, 9352 24,26,27,28,29,30,31,33,34,36,37,39,41,42,44,45,46,47,48,50,52,53,55,56,58, 9353 59,60,61,63,65,66,67,69,70,72,73,75,76,78,79,80,81,83,]], 9354 ["2.O7(3)","O7(3)",[1,3,4,5,6,8,10,12,14,16,18,20,21,23,24,25,27,28,29,30, 9355 31,32,33,35,36,37,38,39,41,43,44,45,47,49,50,52,54,56,58,60,61,62,64,66,67, 9356 68,69,71,73,74,76,78,80,82,83,84,86,87,]], 9357 ["2.O7(3).2","O7(3).2",[1,3,4,5,6,8,10,12,14,16,18,19,21,22,23,25,26,27,28, 9358 29,30,31,33,34,35,36,37,39,40,41,43,44,46,48,50,52,53,54,56,58,59,60,61,63, 9359 64,66,68,70,72,73,74,75,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,95, 9360 96,97,98,99,101,102,104,105,106,108,110,112,114,116,117,118,119,120,122, 9361 123,124,125,127,129,131,133,135,137,139,]], 9362 ["3.O7(3)","O7(3)",[1,4,7,10,13,14,17,18,19,20,21,22,25,28,31,34,37,40,43, 9363 44,47,48,51,52,55,58,59,60,61,62,63,64,65,68,71,74,77,78,79,80,83,86,87,88, 9364 91,94,97,98,99,102,105,108,111,114,117,120,121,124,]], 9365 ["6.O7(3)","O7(3)",[1,7,10,13,16,18,24,26,28,30,32,34,37,43,46,49,55,58,61, 9366 62,65,66,69,71,74,77,78,79,81,83,84,85,87,93,96,102,108,110,112,114,117, 9367 120,122,124,127,130,133,135,137,140,146,152,158,164,167,170,172,175,]], 9368 ["2.O8+(2)","O8+(2)",[1,3,4,6,7,8,9,11,13,15,17,19,21,22,24,25,26,27,29,31, 9369 33,35,36,37,39,40,41,43,44,45,46,48,49,50,51,53,54,56,58,60,62,64,65,66,68, 9370 70,72,74,76,77,78,80,82,]], 9371 ["2.O8+(2).2","O8+(2).2",[1,3,4,6,7,8,10,12,14,16,18,19,21,22,23,25,27,29, 9372 30,32,33,35,36,37,39,40,41,43,44,46,48,50,52,53,55,57,59,61,62,64,66,68,70, 9373 72,73,75,76,77,79,81,83,85,87,89,91,92,93,95,97,99,100,101,103,105,107,109, 9374 111,]], 9375 ["2.O8+(3)","O8+(3)",[1,3,5,6,7,8,10,12,14,16,18,20,22,24,26,28,30,32,34, 9376 36,38,39,40,41,43,45,47,49,50,51,53,55,56,57,59,60,61,63,64,65,67,68,69,71, 9377 72,73,75,77,79,81,82,83,84,85,87,89,90,92,94,96,98,100,102,104,106,108,110, 9378 112,114,116,118,120,122,123,124,126,128,130,132,134,136,138,140,142,143, 9379 145,147,149,151,153,154,155,157,158,159,161,163,165,167,169,171,173,175, 9380 177,179,181,183,184,185,187,188,189,191,193,]], 9381 ["2.O8-(3)","O8-(3)",[1,3,4,5,6,8,10,12,14,16,18,20,22,24,26,27,28,29,31, 9382 32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,55,57,58,60,62,64, 9383 66,68,70,72,74,75,76,78,80,82,84,86,88,90,92,94,95,96,97,98,100,102,103, 9384 105,107,109,111,113,115,117,119,120,121,122,123,125,127,129,131,133,135, 9385 137,139,141,143,145,147,149,151,153,155,157,159,161,163,165,167,169,171, 9386 173,175,177,179,181,183,185,187,189,]], 9387 ["2.O9(3)","O9(3)",[1,3,4,5,6,7,9,11,13,15,17,19,21,23,25,27,28,30,32,33, 9388 34,35,36,37,39,41,42,43,44,45,47,49,50,51,52,54,55,56,58,59,60,61,62,63,64, 9389 65,66,67,68,69,70,72,74,75,76,77,78,79,81,82,84,85,86,87,89,90,91,92,94,95, 9390 97,98,100,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131, 9391 132,133,135,136,137,139,141,142,144,145,146,148,149,151,153,155,157,158, 9392 160,161,163,164,165,166,167,168,170,171,172,174,175,177,178,180,181,183, 9393 184,185,186,187,189,190,191,193,195,197,198,199,201,203,205,207,209,210, 9394 211,213,215,216,217,218,219,221,222,223,224,226,228,229,230,231,232,233, 9395 234,236,238,240,241,243,245,246,247,249,251,252,253,255,257,258,260,261, 9396 262,263,264,265,266,268,270,272,273,274,275,276,277,279,281,282,284,285, 9397 286,288,290,292,294,295,297,299,301,303,305,307,309,311,313,315,317,319, 9398 321,323,325,]], 9399 ["2.O10-(3)","O10-(3)",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35, 9400 36,38,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83, 9401 85,87,89,91,93,95,97,99,101,103,105,107,108,110,112,114,116,118,120,122, 9402 124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158, 9403 160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194, 9404 196,197,199,200,201,203,205,207,209,211,213,214,216,218,220,222,224,226, 9405 228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262, 9406 264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298, 9407 300,302,304,306,308,310,312,314,316,318,320,322,324,326,328,330,332,334, 9408 336,338,340,342,344,346,348,350,352,354,356,358,360,362,364,366,368,370, 9409 372,374,376,378,380,382,384,386,388,390,392,394,396,398,400,402,404,406, 9410 408,410,412,414,416,418,420,422,424,426,428,430,432,434,436,438,440,442, 9411 444,]], 9412 ["2.O8+(7)","O8+(7)",[1,3,5,6,7,8,10,12,14,16,18,20,22,24,26,28,30,32,34, 9413 35,36,37,39,41,43,45,47,48,49,51,52,53,55,56,57,59,60,62,64,66,68,70,72,74, 9414 76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116, 9415 118,120,122,123,124,125,126,128,130,132,134,135,136,138,140,141,143,144, 9416 145,147,149,151,153,155,156,157,159,161,163,165,167,169,171,173,175,177, 9417 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77,83,86,89,92,98,104,106,112,118,124,127,133,135,137,143,149,152,158,161, 9536 164,170,173,176,179,185,188,191,197,200,203,206,212,218,220,226,232,238, 9537 244,247,250,252,255,258,261,263,269,272,275,281,284,287,293,296,299,305, 9538 307,309,311,313,319,322,325,328,331,337,343,349,355,361,364,367,370,376, 9539 379,382,388,391,394,400,406,412,418,420,426,432,438,444,450,452,458,464, 9540 470,472,474,477,483,486,489,495,498,501,507,513,519,525,531,537,]], 9541 ["12_1.U4(3)","U4(3)",[1,13,19,31,43,47,51,63,66,78,90,96,102,114,126,138, 9542 150,162,166,170,]], 9543 ["12_2.U4(3)","U4(3)",[1,13,19,31,35,39,43,55,58,70,82,88,94,106,118,130, 9544 134,138,142,146,]], 9545 ["2.U4(3)","U4(3)",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,28,30,32,34,36,38, 9546 ]], 9547 ["2.U4(3).2_1","U4(3).2_1",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,28,30,32, 9548 34,36,38,40,42,43,45,47,49,51,53,55,57,59,61,63,65,]], 9549 ["2.U4(3).2_2","U4(3).2_2",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,27,29,31, 9550 33,35,37,38,39,41,43,45,47,49,51,53,54,56,58,60,62,]], 9551 ["2.U4(3).2_3","U4(3).2_3",[1,3,5,7,9,11,13,14,16,18,20,22,23,25,27,29,30, 9552 31,33,35,36,38,40,42,44,]], 9553 ["2.U4(3).4","U4(3).4",[1,3,5,7,9,11,13,14,16,18,20,22,24,26,28,30,32,34, 9554 36,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,66,67,69,71,73,75,77,79,81, 9555 83,85,87,89,91,93,95,97,99,101,]], 9556 ["3^2.U4(3).2_3'","3_2.U4(3).2_3'",[1,4,7,10,13,16,19,22,23,26,29,32,35,38, 9557 41,44,47,50,53,56,59,62,65,68,71,74,77,80,83,86,89,90,93,96,99,102,105,108, 9558 ]], 9559 ["3_1.U4(3)","U4(3)",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,42,45,48, 9560 49,50,]], 9561 ["3_1.U4(3).2_2","U4(3).2_2",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,42, 9562 45,46,49,52,55,58,61,64,67,70,73,74,75,78,81,84,87,90,]], 9563 ["3_2.U4(3)","U4(3)",[1,4,7,10,11,12,13,16,19,22,25,28,31,34,37,40,41,42, 9564 43,44,]], 9565 ["3_2.U4(3).2_3","U4(3).2_3",[1,4,7,10,11,12,15,18,21,24,27,30,33,34,35,38, 9566 41,44,45,48,51,54,57,60,63,]], 9567 ["4.U4(3)","U4(3)",[1,5,7,11,15,19,23,27,28,32,36,38,40,44,48,52,56,60,64, 9568 68,]], 9569 ["4.U4(3).2_1","U4(3).2_1",[1,5,7,11,15,19,23,27,28,32,36,38,40,44,48,52, 9570 56,60,64,68,70,74,75,79,81,83,87,91,95,99,103,107,111,115,]], 9571 ["4.U4(3).4","U4(3).4",[1,5,7,11,15,19,23,24,28,32,34,38,42,46,50,54,58,60, 9572 64,65,69,71,75,79,83,87,91,95,99,103,107,111,115,119,120,121,125,129,131, 9573 133,137,141,145,149,153,157,161,165,169,173,177,181,185,]], 9574 ["6_1.U4(3)","U4(3)",[1,7,13,19,25,27,29,35,38,44,50,56,62,68,74,80,86,92, 9575 94,96,]], 9576 ["6_1.U4(3).2_2","U4(3).2_2",[1,7,13,19,25,27,29,35,38,44,50,56,62,68,71, 9577 77,83,85,91,97,100,103,109,115,121,127,133,135,137,140,146,152,158,164,]], 9578 ["6_2.U4(3)","U4(3)",[1,7,13,19,21,23,25,31,34,40,46,52,58,64,70,76,78,80, 9579 82,84,]], 9580 ["6_2.U4(3).2_3","U4(3).2_3",[1,7,13,19,21,23,29,32,38,44,50,56,59,61,63, 9581 69,72,75,77,83,86,92,98,104,110,]], 9582 ["(3^2x2).U4(3).2_3'","3^2.U4(3).2_3'",[1,3,5,7,9,11,13,15,17,19,21,23,25, 9583 27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,58,59,60,61,62,63,65,67,69, 9584 71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113, 9585 115,117,119,121,123,124,125,126,128,130,132,134,136,138,140,142,144,146, 9586 148,150,152,154,156,157,158,159,160,161,162,164,166,168,170,171,172,173, 9587 175,177,179,181,183,185,187,189,191,193,195,197,199,201,]], 9588 ["3.U3(5)","U3(5)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,]], 9589 ["3.U3(5).3","U3(5).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,42,43,46, 9590 49,52,55,58,61,64,67,70,73,76,79,82,85,88,91,94,]], 9591 ["3.U3(8)","U3(8)",[1,4,7,10,13,14,17,20,23,26,29,32,35,38,41,44,47,50,53, 9592 56,59,62,65,68,71,74,77,80,]], 9593 ["3.U3(8).3_1","U3(8).3_1",[1,4,7,8,9,10,13,16,19,20,21,24,27,30,33,36,39, 9594 40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,59,62,65,68,]], 9595 ["3.U3(8).3_2","U3(8).3_2",[1,4,7,10,13,14,17,20,23,26,29,32,35,38,41,44, 9596 47,50,53,56,59,62,65,68,71,74,77,78,79,82,85,88,91,94,97,100,103,106,109, 9597 112,115,118,121,124,127,130,133,136,139,142,145,148,151,154,157,160,163, 9598 166,169,172,175,178,181,184,187,190,193,196,199,202,205,208,211,214,217, 9599 220,]], 9600 ["2.U4(2)","U4(2)",[1,3,4,5,7,9,11,13,15,16,18,20,22,23,24,26,27,29,31,33, 9601 ]], 9602 ["2.U4(2).2","U4(2).2",[1,3,4,5,7,9,11,13,14,16,18,19,20,21,23,25,26,27,29, 9603 30,31,32,33,35,37,]], 9604 ["3.U3(11)","U3(11)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53, 9605 56,59,62,65,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113,116,119, 9606 122,125,128,131,134,137,140,]], 9607 ["3.U3(11).3","U3(11).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47, 9608 50,53,56,59,62,65,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113,116, 9609 119,122,125,128,131,134,137,140,143,144,145,148,151,154,157,160,163,166, 9610 169,172,175,178,181,184,187,190,193,196,199,202,205,208,211,214,217,220, 9611 223,226,229,232,235,238,241,244,247,250,253,256,259,262,265,268,271,274, 9612 277,280,283,286,289,292,295,298,301,304,307,310,313,316,319,322,325,328, 9613 331,334,337,340,343,346,349,352,355,358,361,364,367,370,373,376,379,382, 9614 385,388,391,394,397,400,]], 9615 ["2.U6(2)","U6(2)",[1,3,5,7,8,10,12,14,15,16,18,19,20,22,23,25,27,29,31,33, 9616 35,37,39,41,43,44,46,47,48,50,52,54,56,58,60,61,62,64,65,66,68,69,70,72,74, 9617 76,]], 9618 ["2.U6(2).2","U6(2).2",[1,3,5,7,8,10,12,14,15,16,18,19,21,22,24,26,28,30, 9619 32,34,36,38,40,41,43,44,46,48,50,52,53,55,56,58,59,61,63,65,67,69,71,73,75, 9620 77,79,81,83,85,87,88,89,90,92,94,96,98,100,102,104,106,107,108,110,112,114, 9621 ]], 9622 ["3.U6(2)","U6(2)",[1,4,7,10,13,16,19,20,23,26,29,32,35,38,41,44,47,50,53, 9623 56,59,62,65,66,69,72,75,78,81,84,87,88,91,94,97,100,103,106,109,112,115, 9624 118,121,124,127,130,]], 9625 ["3.U6(2).3","U6(2).3",[1,4,7,10,13,16,19,20,23,26,29,32,35,38,41,44,47,50, 9626 53,56,59,60,63,66,69,72,75,76,79,82,85,88,91,94,97,100,103,106,109,112,115, 9627 118,121,124,127,130,133,134,135,138,141,144,147,150,153,156,159,162,165, 9628 168,171,174,177,180,183,186,189,192,195,196,197,200,203,204,205,208,211, 9629 214,217,220,223,226,229,232,235,238,241,244,247,250,253,256,259,262,265, 9630 268,271,274,277,280,283,286,289,292,295,298,301,304,307,310,313,316,319, 9631 322,]], 9632 ["6.U6(2)","U6(2)",[1,7,13,19,22,28,34,36,39,42,48,51,54,60,63,69,75,81,87, 9633 93,99,105,111,113,119,122,128,131,134,140,146,148,154,160,166,169,172,178, 9634 181,184,190,193,196,202,208,214,]], 9635 ]; 9636MakeImmutable( LIBLIST.projections ); 9637 9638LIBLIST.simpleInfo := [ 9639 [ "2", "A10", "2" ], 9640 [ "2", "A11", "2" ], 9641 [ "2", "A12", "2" ], 9642 [ "2", "A13", "2" ], 9643 [ "2", "A14", "2" ], 9644 [ "2", "A5", "2" ], 9645 [ "6", "A6", "2^2" ], 9646 [ "6", "A7", "2" ], 9647 [ "2", "A8", "2" ], 9648 [ "2", "A9", "2" ], 9649 [ "2", "A15", "2" ], 9650 [ "2", "A16", "2" ], 9651 [ "2", "A17", "2" ], 9652 [ "2", "A18", "2" ], 9653 [ "2", "A19", "2" ], 9654 [ "2", "F4(2)", "2" ], 9655 [ "3", "G2(3)", "2" ], 9656 [ "2", "G2(4)", "2" ], 9657 [ "", "G2(5)", "" ], 9658 [ "", "R(27)", "3" ], 9659 [ "", "Sz(32)", "5" ], 9660 [ "2^2", "Sz(8)", "3" ], 9661 [ "2", "Co1", "" ], 9662 [ "", "Co2", "" ], 9663 [ "", "Co3", "" ], 9664 [ "", "J1", "" ], 9665 [ "2", "J2", "2" ], 9666 [ "3", "J3", "2" ], 9667 [ "", "J4", "" ], 9668 [ "", "E6(2)", "2" ], 9669 [ "6", "Fi22", "2" ], 9670 [ "3", "F3+", "2" ], 9671 [ "", "Fi23", "" ], 9672 [ "2", "L2(11)", "2" ], 9673 [ "2", "L2(13)", "2" ], 9674 [ "", "L2(16)", "4" ], 9675 [ "2", "L2(17)", "2" ], 9676 [ "2", "L2(19)", "2" ], 9677 [ "2", "L2(23)", "2" ], 9678 [ "2", "L2(25)", "2^2" ], 9679 [ "2", "L2(27)", "6" ], 9680 [ "2", "L2(29)", "2" ], 9681 [ "2", "L2(31)", "2" ], 9682 [ "", "L2(32)", "5" ], 9683 [ "", "L2(8)", "3" ], 9684 [ "2", "L2(49)", "2^2" ], 9685 [ "2", "L2(81)", "(2x4)" ], 9686 [ "(3x4^2)", "L3(4)", "D12" ], 9687 [ "2", "L3(2)", "2" ], 9688 [ "", "L3(3)", "2" ], 9689 [ "", "L3(5)", "2" ], 9690 [ "3", "L3(7)", "3.2" ], 9691 [ "", "L3(8)", "6" ], 9692 [ "", "L3(9)", "2^2" ], 9693 [ "2", "L4(3)", "2^2" ], 9694 [ "", "L5(2)", "2" ], 9695 [ "", "L6(2)", "2" ], 9696 [ "2", "L4(4)", "2^2" ], 9697 [ "", "L7(2)", "2" ], 9698 [ "", "L5(3)", "2" ], 9699 [ "2", "L2(37)", "2" ], 9700 [ "2", "L2(41)", "2" ], 9701 [ "2", "L2(43)", "2" ], 9702 [ "2", "L2(47)", "2" ], 9703 [ "2", "L2(53)", "2" ], 9704 [ "2", "L2(59)", "2" ], 9705 [ "2", "L2(61)", "2" ], 9706 [ "", "L2(64)", "6" ], 9707 [ "2", "L2(67)", "2" ], 9708 [ "2", "L2(71)", "2" ], 9709 [ "2", "L2(73)", "2" ], 9710 [ "2", "L2(79)", "2" ], 9711 [ "2", "L2(83)", "2" ], 9712 [ "2", "L2(89)", "2" ], 9713 [ "2", "L2(97)", "2" ], 9714 [ "2", "L2(101)", "2" ], 9715 [ "2", "L2(103)", "2" ], 9716 [ "2", "L2(107)", "2" ], 9717 [ "2", "L2(109)", "2" ], 9718 [ "2", "L2(113)", "2" ], 9719 [ "2", "L2(121)", "2^2" ], 9720 [ "2", "L2(125)", "6" ], 9721 [ "4", "L4(5)", "D8" ], 9722 [ "4", "L4(9)", "(2xD8)" ], 9723 [ "", "L8(2)", "2" ], 9724 [ "", "L3(11)", "2" ], 9725 [ "", "M11", "" ], 9726 [ "2", "M12", "2" ], 9727 [ "12", "M22", "2" ], 9728 [ "", "M23", "" ], 9729 [ "", "M24", "" ], 9730 [ "2", "B", "" ], 9731 [ "", "M", "" ], 9732 [ "", "2F4(8)", "3" ], 9733 [ "6", "O7(3)", "2" ], 9734 [ "2^2", "O8+(2)", "3.2" ], 9735 [ "2^2", "O8+(3)", "S4" ], 9736 [ "", "O10+(2)", "2" ], 9737 [ "", "O10-(2)", "2" ], 9738 [ "", "O8-(2)", "2" ], 9739 [ "2", "O8-(3)", "2^2" ], 9740 [ "2", "O7(5)", "2" ], 9741 [ "2", "O9(3)", "2" ], 9742 [ "4", "O10-(3)", "D8" ], 9743 [ "", "HN", "2" ], 9744 [ "2", "HS", "2" ], 9745 [ "", "He", "2" ], 9746 [ "", "Ly", "" ], 9747 [ "3", "McL", "2" ], 9748 [ "3", "ON", "2" ], 9749 [ "2", "Ru", "" ], 9750 [ "6", "Suz", "2" ], 9751 [ "", "Th", "" ], 9752 [ "", "S10(2)", "" ], 9753 [ "", "S4(4)", "4" ], 9754 [ "2", "S4(5)", "2" ], 9755 [ "2", "S6(2)", "" ], 9756 [ "2", "S6(3)", "2" ], 9757 [ "", "S8(2)", "" ], 9758 [ "2", "S4(7)", "2" ], 9759 [ "", "S4(8)", "6" ], 9760 [ "2", "S4(9)", "2^2" ], 9761 [ "", "S6(4)", "2" ], 9762 [ "2", "S6(5)", "2" ], 9763 [ "2", "S8(3)", "2" ], 9764 [ "", "S12(2)", "" ], 9765 [ "", "2F4(2)'", "2" ], 9766 [ "", "3D4(2)", "3" ], 9767 [ "(2^2x3)", "2E6(2)", "3.2" ], 9768 [ "(3^2x4)", "U4(3)", "D8" ], 9769 [ "", "U3(3)", "2" ], 9770 [ "", "U3(4)", "4" ], 9771 [ "3", "U3(5)", "3.2" ], 9772 [ "", "U3(7)", "2" ], 9773 [ "3", "U3(8)", "(3xS3)" ], 9774 [ "", "U3(9)", "4" ], 9775 [ "3", "U3(11)", "3.2" ], 9776 [ "2", "U4(2)", "2" ], 9777 [ "", "U5(2)", "2" ], 9778 [ "(2^2x3)", "U6(2)", "3.2" ], 9779 [ "", "U4(4)", "4" ], 9780 [ "2", "U4(5)", "2^2" ], 9781 [ "5", "U5(4)", "5:4" ], 9782 [ "", "U5(3)", "2" ], 9783 [ "", "U7(2)", "2" ], 9784 ]; 9785MakeImmutable( LIBLIST.simpleInfo ); 9786 9787 9788LIBLIST.sporadicSimple := [ 9789 "M11", "M12", "J1", "M22", "J2", "M23", "HS", "J3", 9790 "M24", "McL", "He", "Ru", "Suz", "ON", "Co3", "Co2", 9791 "Fi22", "HN", "Ly", "Th", "Fi23", "Co1", "J4", "F3+", 9792 "B", "M" ]; 9793MakeImmutable( LIBLIST.sporadicSimple ); 9794 9795LIBLIST.GENERIC := [ 9796 "Cyclic", 9797 "Dihedral", 9798 "Symmetric", 9799 "Alternating", 9800 "WeylB", 9801 "WeylD", 9802 "DoubleCoverSymmetric", 9803 "DoubleCoverAlternating", 9804 "GL2", 9805 "SL2odd", 9806 "SL2even", 9807 "PSL2odd", 9808 "PSL2even", 9809 "Suzuki", 9810 "GU3", 9811 "SU3", 9812 "P:Q", 9813 "ExtraspecialPlusOdd", 9814 ]; 9815 9816LIBLIST.GENERIC:= rec( 9817 allnames:= List( LIBLIST.GENERIC, LowercaseString ), 9818 firstnames:= LIBLIST.GENERIC ); 9819 9820LIBLIST.lastupdated:= "22-Apr-2012, 20:08:22 UTC"; 9821 9822############################################################################# 9823## 9824#E 9825 9826