#SIXFORMAT  GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "CTblLibXpls",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" 
     ], 
  [ "Copyright", "0.0-1", [ 0, 0, 1 ], 18, 2, "copyright", 
      "X81488B807F2A1CF1" ], 
  [ "Table of Contents", "0.0-2", [ 0, 0, 2 ], 26, 3, "table of contents", 
      "X8537FEB07AF2BEC8" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YMaintenance Issues for the \033[5XGAP\033[105X\\
033[101X\027\033[1X\027 Character Table Library\033[133X\033[101X", "1", 
      [ 1, 0, 0 ], 1, 10, 
      "maintenance issues for the gap character table library", 
      "X8354C98179CDB193" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YDisproving Possible Character Tables (November 20\
06)\033[133X\033[101X", "1.1", [ 1, 1, 0 ], 9, 10, 
      "disproving possible character tables november 2006", 
      "X7ECA800587320C2C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA Perfect Pseudo Character Table (November 2006)\\
033[133X\033[101X", "1.1-1", [ 1, 1, 1 ], 23, 10, 
      "a perfect pseudo character table november 2006", "X795DCCEA7F4D187A" ],
  [ "\033[1X\033[33X\033[0;-2YAn Error in the Character Table of \033[22XE_6(2\
)\033[122X\033[101X\027\033[1X\027 (March 2016)\033[133X\033[101X", "1.1-2", 
      [ 1, 1, 2 ], 208, 13, 
      "an error in the character table of e_6 2 march 2016", 
      "X80F0B4E07B0B2277" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAn Error in a Power Map of the Character Table of\
 \033[22X2.F_4(2).2\033[122X\033[101X\027\033[1X\027 (November 2015)\033[133X\
\033[101X", "1.1-3", [ 1, 1, 3 ], 245, 14, 
      "an error in a power map of the character table of 2.f_4 2 .2 november 2\
015", "X7D7982CD87413F76" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA Character Table with a Wrong Name (May 2017)\\
033[133X\033[101X", "1.1-4", [ 1, 1, 4 ], 304, 15, 
      "a character table with a wrong name may 2017", "X836E4B6184F32EF5" ], 
  [ "\033[1X\033[33X\033[0;-2YSome finite factor groups of perfect space group\
s (February 2014)\033[133X\033[101X", "1.2", [ 1, 2, 0 ], 354, 16, 
      "some finite factor groups of perfect space groups february 2014", 
      "X8159D79C7F071B33" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the space groups in question\033[133\
X\033[101X", "1.2-1", [ 1, 2, 1 ], 387, 16, 
      "constructing the space groups in question", "X8710D4947AEB366F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the factor groups in question\033[13\
3X\033[101X", "1.2-2", [ 1, 2, 2 ], 435, 17, 
      "constructing the factor groups in question", "X84E7FE70843422B0" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples with point group \033[22XA_5\033[122X\\
033[101X\027\033[1X\027\033[133X\033[101X", "1.2-3", [ 1, 2, 3 ], 498, 18, 
      "examples with point group a_5", "X79109A20873E76DA" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples with point group \033[22XL_3(2)\033[122X\
\033[101X\027\033[1X\027\033[133X\033[101X", "1.2-4", [ 1, 2, 4 ], 583, 19, 
      "examples with point group l_3 2", "X83523D1E792F9E01" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExample with point group SL\033[22X_2(7)\033[122X\
\033[101X\027\033[1X\027\033[133X\033[101X", "1.2-5", [ 1, 2, 5 ], 704, 21, 
      "example with point group sl_2 7", "X7A01A9BC846BE39A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExample with point group \033[22X2^3.L_3(2)\033[1\
22X\033[101X\027\033[1X\027\033[133X\033[101X", "1.2-6", [ 1, 2, 6 ], 768, 
      22, "example with point group 2^3.l_3 2", "X7D3100B58093F37D" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples with point group \033[22XA_6\033[122X\\
033[101X\027\033[1X\027\033[133X\033[101X", "1.2-7", [ 1, 2, 7 ], 820, 23, 
      "examples with point group a_6", "X80800F3B7D6EF06C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples with point group \033[22XL_2(8)\033[122X\
\033[101X\027\033[1X\027\033[133X\033[101X", "1.2-8", [ 1, 2, 8 ], 918, 25, 
      "examples with point group l_2 8", "X7D43452C79B0EAE1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExample with point group \033[22XM_11\033[122X\\
033[101X\027\033[1X\027\033[133X\033[101X", "1.2-9", [ 1, 2, 9 ], 998, 26, 
      "example with point group m_11", "X8575CE147A9819BF" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExample with point group \033[22XU_3(3)\033[122X\\
033[101X\027\033[1X\027\033[133X\033[101X", "1.2-10", [ 1, 2, 10 ], 1031, 27, 
      "example with point group u_3 3", "X7C0201B77DA1682A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples with point group \033[22XU_4(2)\033[122X\
\033[101X\027\033[1X\027\033[133X\033[101X", "1.2-11", [ 1, 2, 11 ], 1091, 
      28, "examples with point group u_4 2", "X85D9C329792E58F3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA remark on one of the example groups\033[133X\\
033[101X", "1.2-12", [ 1, 2, 12 ], 1148, 29, 
      "a remark on one of the example groups", "X8635EE0B78A66120" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YGenerality problems (December 2004/October 2015)\\
033[133X\033[101X", "1.3", [ 1, 3, 0 ], 1167, 29, 
      "generality problems december 2004/october 2015", "X8448022280E82C52" ],
  [ "\033[1X\033[33X\033[0;-2YListing possible generality problems\033[133X\
\033[101X", "1.3-1", [ 1, 3, 1 ], 1178, 29, 
      "listing possible generality problems", "X7D1A66C3844D09B1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA generality problem concerning the group \033[22\
XJ_3\033[122X\033[101X\027\033[1X\027 (April 2015)\033[133X\033[101X", 
      "1.3-2", [ 1, 3, 2 ], 1670, 38, 
      "a generality problem concerning the group j_3 april 2015", 
      "X80EB5D827A78975A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA generality problem concerning the group \033[22\
XHN\033[122X\033[101X\027\033[1X\027 (August 2022)\033[133X\033[101X", 
      "1.3-3", [ 1, 3, 3 ], 1806, 40, 
      "a generality problem concerning the group hn august 2022", 
      "X82C37532783168AA" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YBrauer Tables that can be derived from Known Tabl\
es\033[133X\033[101X", "1.4", [ 1, 4, 0 ], 1922, 42, 
      "brauer tables that can be derived from known tables", 
      "X7D8C6D1883C9CECA" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YBrauer Tables via Construction Information\033[13\
3X\033[101X", "1.4-1", [ 1, 4, 1 ], 1935, 42, 
      "brauer tables via construction information", "X7DF018B77E722CA7" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YLiftable Brauer Characters (May 2017)\033[133X\\
033[101X", "1.4-2", [ 1, 4, 2 ], 1960, 43, 
      "liftable brauer characters may 2017", "X795419A287BD228E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YInformation about certain subgroups of the Monste\
r group\033[133X\033[101X", "1.5", [ 1, 5, 0 ], 2043, 44, 
      "information about certain subgroups of the monster group", 
      "X864EFF897A854F89" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Monster group does not contain subgroups of t\
he type \033[22X2.U_4(2)\033[122X\033[101X\027\033[1X\027 (August 2023)\033[13\
3X\033[101X", "1.5-1", [ 1, 5, 1 ], 2046, 44, 
      "the monster group does not contain subgroups of the type 2.u_4 2 august\
 2023", "X82C7A03684DD7C6E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPerfect central extensions of \033[22XL_3(4)\033[\
122X\033[101X\027\033[1X\027 (August 2023)\033[133X\033[101X", "1.5-2", 
      [ 1, 5, 2 ], 2093, 45, "perfect central extensions of l_3 4 august 2023"
        , "X87EC0C48866D1BDE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe character table of \033[22X(2 \303\227 O_8^+(\
3)).S_4 \342\211\244 2.B\033[122X\033[101X\027\033[1X\027 (October 2023)\033[1\
33X\033[101X", "1.5-3", [ 1, 5, 3 ], 2264, 47, 
      "the character table of 2 a\227 o_8^+ 3 .s_4 a\211\244 2.b october 2023"
        , "X7F605CA28441687F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YUsing Table Automorphisms for Constructing Charac\
ter Tables in \033[5XGAP\033[105X\033[101X\027\033[1X\027\033[133X\033[101X", 
      "2", [ 2, 0, 0 ], 1, 50, 
      "using table automorphisms for constructing character tables in gap", 
      "X7B77FD307F0DE563" ], 
  [ "\033[1X\033[33X\033[0;-2YOverview\033[133X\033[101X", "2.1", 
      [ 2, 1, 0 ], 13, 50, "overview", "X8389AD927B74BA4A" ], 
  [ "\033[1X\033[33X\033[0;-2YTheoretical Background\033[133X\033[101X", 
      "2.2", [ 2, 2, 0 ], 33, 50, "theoretical background", 
      "X7B6AEBDF7B857E2E" ], 
  [ "\033[1X\033[33X\033[0;-2YCharacter Table Automorphisms\033[133X\033[101X"
        , "2.2-1", [ 2, 2, 1 ], 36, 50, "character table automorphisms", 
      "X78EBF9BA7A34A9C2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPermutation Equivalence of Character Tables\033[1\
33X\033[101X", "2.2-2", [ 2, 2, 2 ], 67, 51, 
      "permutation equivalence of character tables", "X832525DE7AB34F16" ], 
  [ "\033[1X\033[33X\033[0;-2YClass Fusions\033[133X\033[101X", "2.2-3", 
      [ 2, 2, 3 ], 114, 52, "class fusions", "X7906869F7F190E76" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing Character Tables of Certain Isoclini\
c Groups\033[133X\033[101X", "2.2-4", [ 2, 2, 4 ], 157, 52, 
      "constructing character tables of certain isoclinic groups", 
      "X80C37276851D5E39" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Isoclinic Groups of the Struc\
ture \033[22Xp.G.p\033[122X\033[101X\027\033[1X\027 (October 2016)\033[133X\
\033[101X", "2.2-5", [ 2, 2, 5 ], 241, 53, 
      "character tables of isoclinic groups of the structure p.g.p october 201\
6", "X7AEFFEEC84511FD0" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIsoclinic Double Covers of Almost Simple Groups\\
033[133X\033[101X", "2.2-6", [ 2, 2, 6 ], 288, 54, 
      "isoclinic double covers of almost simple groups", "X78F41D2A78E70BEE" ]
    , 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacters of Normal Subgroups\033[133X\033[101X"
        , "2.2-7", [ 2, 2, 7 ], 391, 56, "characters of normal subgroups", 
      "X834B42A07E98FBC6" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Constructions\033[133X\033[101X", "2.3", 
      [ 2, 3, 0 ], 423, 56, "the constructions", "X787F430E7FDB8765" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Groups of the Structure \033[\
22XM.G.A\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "2.3-1", 
      [ 2, 3, 1 ], 426, 56, 
      "character tables of groups of the structure m.g.a", 
      "X82E75B6880EC9E6C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Groups of the Structure \033[\
22XG.S_3\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "2.3-2", 
      [ 2, 3, 2 ], 498, 57, 
      "character tables of groups of the structure g.s_3", 
      "X7CCABDDE864E6300" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Groups of the Structure \033[\
22XG.2^2\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "2.3-3", 
      [ 2, 3, 3 ], 582, 59, 
      "character tables of groups of the structure g.2^2", 
      "X7D3EF3BC83BE05CF" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Groups of the Structure \033[\
22X2^2.G\033[122X\033[101X\027\033[1X\027 (August 2005)\033[133X\033[101X", 
      "2.3-4", [ 2, 3, 4 ], 660, 60, 
      "character tables of groups of the structure 2^2.g august 2005", 
      "X81464C4B8178C85A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22Xp\033[122X\033[101X\027\033[1X\027-Modula\
r Tables of Extensions by \033[22Xp\033[122X\033[101X\027\033[1X\027-singular \
Automorphisms\033[133X\033[101X", "2.3-5", [ 2, 3, 5 ], 819, 62, 
      "p-modular tables of extensions by p-singular automorphisms", 
      "X86CF6A607B0827EE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Subdirect Products of Index T\
wo (July 2007)\033[133X\033[101X", "2.3-6", [ 2, 3, 6 ], 844, 63, 
      "character tables of subdirect products of index two july 2007", 
      "X788591D78451C024" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples for the Type \033[22XM.G.A\033[122X\033[\
101X\027\033[1X\027\033[133X\033[101X", "2.4", [ 2, 4, 0 ], 946, 64, 
      "examples for the type m.g.a", "X817D2134829FA8FA" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter Tables of Dihedral Groups\033[133X\033[\
101X", "2.4-1", [ 2, 4, 1 ], 949, 64, "character tables of dihedral groups", 
      "X7F2DBAB48437052C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAn \033[22XM.G.A\033[122X\033[101X\027\033[1X\\
027 Type Example with \033[22XM\033[122X\033[101X\027\033[1X\027 noncentral in\
 \033[22XM.G\033[122X\033[101X\027\033[1X\027 (May 2004)\033[133X\033[101X", 
      "2.4-2", [ 2, 4, 2 ], 1037, 66, 
      "an m.g.a type example with m noncentral in m.g may 2004", 
      "X7925DBFA7C5986B5" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XAtlas\033[105X\033[101X\027\033[1X\027 Tab\
les of the Type \033[22XM.G.A\033[122X\033[101X\027\033[1X\027\033[133X\033[10\
1X", "2.4-3", [ 2, 4, 3 ], 1124, 67, "atlas tables of the type m.g.a", 
      "X7ED45AB379093A70" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YMore \033[5XAtlas\033[105X\033[101X\027\033[1X\\
027 Tables of the Type \033[22XM.G.A\033[122X\033[101X\027\033[1X\027\033[133X\
\033[101X", "2.4-4", [ 2, 4, 4 ], 1411, 72, 
      "more atlas tables of the type m.g.a", "X7A236EDE7A7A28F9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of \033[22X4_2.L_3(4).2_3\\
033[122X\033[101X\027\033[1X\027 and \033[22X12_2.L_3(4).2_3\033[122X\033[101X\
\027\033[1X\027\033[133X\033[101X", "2.4-5", [ 2, 4, 5 ], 1561, 75, 
      "the character tables of 4_2.l_3 4 .2_3 and 12_2.l_3 4 .2_3", 
      "X794EC2FD7F69B4E6" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of \033[22X12_1.U_4(3).2_2'\\
033[122X\033[101X\027\033[1X\027 and \033[22X12_2.U_4(3).2_3'\033[122X\033[101\
X\027\033[1X\027 (December\302\2402015)\033[133X\033[101X", "2.4-6", 
      [ 2, 4, 6 ], 1708, 77, 
      "the character tables of 12_1.u_4 3 .2_2 and 12_2.u_4 3 .2_3 decembera\
\2402015", "X7E3E748E85AEDDB3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YGroups of the Structures \033[22X3.U_3(8).3_1\\
033[122X\033[101X\027\033[1X\027 and \033[22X3.U_3(8).6\033[122X\033[101X\027\
\033[1X\027 (February 2017)\033[133X\033[101X", "2.4-7", [ 2, 4, 7 ], 1767, 
      78, "groups of the structures 3.u_3 8 .3_1 and 3.u_3 8 .6 february 2017"
        , "X8379003582D06130" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X(2^2 \303\227 F_4(\
2)):2 < B\033[122X\033[101X\027\033[1X\027 (March\302\2402003)\033[133X\033[10\
1X", "2.4-8", [ 2, 4, 8 ], 1896, 80, 
      "the character table of 2^2 a\227 f_4 2 :2 < b marcha\2402003", 
      "X7B46C77B850D3B4D" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X2.(S_3 \303\227 Fi\
_22.2) < 2.B\033[122X\033[101X\027\033[1X\027 (March\302\2402003)\033[133X\033\
[101X", "2.4-9", [ 2, 4, 9 ], 2010, 82, 
      "the character table of 2. s_3 a\227 fi_22.2 < 2.b marcha\2402003", 
      "X8254AA4A843F99BE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X(2 \303\227 2.Fi_2\
2):2 < Fi_24\033[122X\033[101X\027\033[1X\027 (November\302\2402008)\033[133X\
\033[101X", "2.4-10", [ 2, 4, 10 ], 2188, 85, 
      "the character table of 2 a\227 2.fi_22 :2 < fi_24 novembera\2402008", 
      "X7AF125168239D208" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22XS_3 \303\227 2.U_4\
(3).2_2 \342\211\244 2.Fi_22\033[122X\033[101X\027\033[1X\027 (September 2002)\
\033[133X\033[101X", "2.4-11", [ 2, 4, 11 ], 2286, 86, 
      "the character table of s_3 a\227 2.u_4 3 .2_2 a\211\244 2.fi_22 septemb\
er 2002", "X79C93F7D87D9CF1D" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X4.HS.2 \342\211\\
244 HN.2\033[122X\033[101X\027\033[1X\027 (May 2002)\033[133X\033[101X", 
      "2.4-12", [ 2, 4, 12 ], 2371, 87, 
      "the character table of 4.hs.2 a\211\244 hn.2 may 2002", 
      "X83724BCE86FCD77B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of \033[22X4.A_6.2_3\033[122\
X\033[101X\027\033[1X\027, \033[22X12.A_6.2_3\033[122X\033[101X\027\033[1X\027\
, and \033[22X4.L_2(25).2_3\033[122X\033[101X\027\033[1X\027\033[133X\033[101X\
", "2.4-13", [ 2, 4, 13 ], 2536, 90, 
      "the character tables of 4.a_6.2_3 12.a_6.2_3 and 4.l_2 25 .2_3", 
      "X7E9A88DA7CBF6426" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X4.L_2(49).2_3\033[\
122X\033[101X\027\033[1X\027 (December 2020)\033[133X\033[101X", "2.4-14", 
      [ 2, 4, 14 ], 2917, 96, 
      "the character table of 4.l_2 49 .2_3 december 2020", 
      "X7BD79BA37C3E729B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X4.L_2(81).2_3\033[\
122X\033[101X\027\033[1X\027 (December 2020)\033[133X\033[101X", "2.4-15", 
      [ 2, 4, 15 ], 2995, 98, 
      "the character table of 4.l_2 81 .2_3 december 2020", 
      "X817A961487D2DFD1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X9.U_3(8).3_3\033[1\
22X\033[101X\027\033[1X\027 (March 2017)\033[133X\033[101X", "2.4-16", 
      [ 2, 4, 16 ], 3089, 99, "the character table of 9.u_3 8 .3_3 march 2017"
        , "X7AF324AF7A54798F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPseudo Character Tables of the Type \033[22XM.G.A\
\033[122X\033[101X\027\033[1X\027 (May 2004)\033[133X\033[101X", "2.4-17", 
      [ 2, 4, 17 ], 3386, 104, 
      "pseudo character tables of the type m.g.a may 2004", 
      "X7E0C603880157C4E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSome Extra-ordinary \033[22Xp\033[122X\033[101X\\
027\033[1X\027-Modular Tables of the Type \033[22XM.G.A\033[122X\033[101X\027\
\033[1X\027 (September 2005)\033[133X\033[101X", "2.4-18", [ 2, 4, 18 ], 
      3523, 107, 
      "some extra-ordinary p-modular tables of the type m.g.a september 2005",
      "X844185EF7A8F2A99" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples for the Type \033[22XG.S_3\033[122X\033[\
101X\027\033[1X\027\033[133X\033[101X", "2.5", [ 2, 5, 0 ], 3706, 110, 
      "examples for the type g.s_3", "X7F50C782840F06E4" ], 
  [ "\033[1X\033[33X\033[0;-2YSmall Examples\033[133X\033[101X", "2.5-1", 
      [ 2, 5, 1 ], 3709, 110, "small examples", "X7F0DC29F874AA09F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XAtlas\033[105X\033[101X\027\033[1X\027 Tab\
les of the Type \033[22XG.S_3\033[122X\033[101X\027\033[1X\027\033[133X\033[10\
1X", "2.5-2", [ 2, 5, 2 ], 3803, 111, "atlas tables of the type g.s_3", 
      "X80F9BC057980A9E9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples for the Type \033[22XG.2^2\033[122X\033[\
101X\027\033[1X\027\033[133X\033[101X", "2.6", [ 2, 6, 0 ], 3993, 115, 
      "examples for the type g.2^2", "X7EA489E07D7C7D86" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22XA_6.2^2\033[122X\\
033[101X\027\033[1X\027\033[133X\033[101X", "2.6-1", [ 2, 6, 1 ], 3996, 115, 
      "the character table of a_6.2^2", "X8054FDE679053B1C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XAtlas\033[105X\033[101X\027\033[1X\027 Tab\
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      "atlas tables of the type g.2^2 a\200\223 easy cases", 
      "X7FEC3AB081487AF2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22XS_4(9).2^2\033[122\
X\033[101X\027\033[1X\027 (September 2011)\033[133X\033[101X", "2.6-3", 
      [ 2, 6, 3 ], 4351, 121, 
      "the character table of s_4 9 .2^2 september 2011", "X869B65D3863EDEC3" 
     ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of Groups of the Type \033[2\
2X2.L_3(4).2^2\033[122X\033[101X\027\033[1X\027 (June 2010)\033[133X\033[101X"
        , "2.6-4", [ 2, 6, 4 ], 4406, 122, 
      "the character tables of groups of the type 2.l_3 4 .2^2 june 2010", 
      "X7B38006380618543" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of Groups of the Type \033[2\
2X6.L_3(4).2^2\033[122X\033[101X\027\033[1X\027 (October 2011)\033[133X\033[10\
1X", "2.6-5", [ 2, 6, 5 ], 4628, 126, 
      "the character tables of groups of the type 6.l_3 4 .2^2 october 2011", 
      "X79818ABD7E972370" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of Groups of the Type \033[2\
2X2.U_4(3).2^2\033[122X\033[101X\027\033[1X\027 (February 2012)\033[133X\033[1\
01X", "2.6-6", [ 2, 6, 6 ], 4875, 130, 
      "the character tables of groups of the type 2.u_4 3 .2^2 february 2012",
      "X878889308653435F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of Groups of the Type \033[2\
2X4_1.L_3(4).2^2\033[122X\033[101X\027\033[1X\027 (October 2011)\033[133X\033[\
101X", "2.6-7", [ 2, 6, 7 ], 5043, 133, 
      "the character tables of groups of the type 4_1.l_3 4 .2^2 october 2011"
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  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Tables of Groups of the Type \033[2\
2X4_2.L_3(4).2^2\033[122X\033[101X\027\033[1X\027 (October 2011)\033[133X\033[\
101X", "2.6-8", [ 2, 6, 8 ], 5269, 137, 
      "the character tables of groups of the type 4_2.l_3 4 .2^2 october 2011"
        , "X7E9AF180869B4786" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of Aut\033[22X(L_2(81))\033[1\
22X\033[101X\027\033[1X\027\033[133X\033[101X", "2.6-9", [ 2, 6, 9 ], 5504, 
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  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22XO_8^+(3).2^2_111\\
033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "2.6-10", [ 2, 6, 10 ], 
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      "X78AED04685EDCC19" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples for the Type \033[22X2^2.G\033[122X\033[\
101X\027\033[1X\027\033[133X\033[101X", "2.7", [ 2, 7, 0 ], 5648, 143, 
      "examples for the type 2^2.g", "X845BAA2A7FD768B0" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X2^2.Sz(8)\033[122X\
\033[101X\027\033[1X\027\033[133X\033[101X", "2.7-1", [ 2, 7, 1 ], 5656, 144, 
      "the character table of 2^2.sz 8", "X87EEBDB987249117" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XAtlas\033[105X\033[101X\027\033[1X\027 Tab\
les of the Type \033[22X2^2.G\033[122X\033[101X\027\033[1X\027 (September 2005\
)\033[133X\033[101X", "2.7-2", [ 2, 7, 2 ], 5815, 146, 
      "atlas tables of the type 2^2.g september 2005", "X83652A0282A64D14" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X2^2.O_8^+(3)\033[\
122X\033[101X\027\033[1X\027 (March 2009)\033[133X\033[101X", "2.7-3", 
      [ 2, 7, 3 ], 6021, 150, "the character table of 2^2.o_8^+ 3 march 2009",
      "X7F63DDF77870F967" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of the Schur Cover of \033[22\
XL_3(4)\033[122X\033[101X\027\033[1X\027 (September 2005)\033[133X\033[101X", 
      "2.7-4", [ 2, 7, 4 ], 6067, 151, 
      "the character table of the schur cover of l_3 4 september 2005", 
      "X86A1607787DE6BB9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples of Extensions by \033[22Xp\033[122X\033[\
101X\027\033[1X\027-singular Automorphisms\033[133X\033[101X", "2.8", 
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      "X8711DBB083655A25" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSome \033[22Xp\033[122X\033[101X\027\033[1X\027-M\
odular Tables of Groups of the Type \033[22XM.G.A\033[122X\033[101X\027\033[1X\
\027\033[133X\033[101X", "2.8-1", [ 2, 8, 1 ], 6205, 153, 
      "some p-modular tables of groups of the type m.g.a", 
      "X81C08739850E4AAE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSome \033[22Xp\033[122X\033[101X\027\033[1X\027-M\
odular Tables of Groups of the Type \033[22XG.S_3\033[122X\033[101X\027\033[1X\
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      "some p-modular tables of groups of the type g.s_3", 
      "X7FED618F83ACB7C2" ], 
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      "\033[1X\033[33X\033[0;-2Y\033[22X2\033[122X\033[101X\027\033[1X\027-Modula\
r Tables of Groups of the Type \033[22XG.2^2\033[122X\033[101X\027\033[1X\027\
\033[133X\033[101X", "2.8-3", [ 2, 8, 3 ], 6327, 155, 
      "2-modular tables of groups of the type g.2^2", "X7EEF6A7F8683177A" ], 
  [ "\033[1X\033[33X\033[0;-2YThe \033[22X3\033[122X\033[101X\027\033[1X\027-M\
odular Table of \033[22XU_3(8).3^2\033[122X\033[101X\027\033[1X\027\033[133X\
\033[101X", "2.8-4", [ 2, 8, 4 ], 6375, 156, 
      "the 3-modular table of u_3 8 .3^2", "X875F8DD77C0997FA" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YExamples of Subdirect Products of Index Two\033[1\
33X\033[101X", "2.9", [ 2, 9, 0 ], 6415, 157, 
      "examples of subdirect products of index two", "X7A4D6044865E516B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCertain Dihedral Groups as Subdirect Products of \
Index Two\033[133X\033[101X", "2.9-1", [ 2, 9, 1 ], 6424, 157, 
      "certain dihedral groups as subdirect products of index two", 
      "X850FF694801700CF" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Character Table of \033[22X(D_10 \303\227 HN)\
.2 < M\033[122X\033[101X\027\033[1X\027 (June 2008)\033[133X\033[101X", 
      "2.9-2", [ 2, 9, 2 ], 6451, 158, 
      "the character table of d_10 a\227 hn .2 < m june 2008", 
      "X80C5D6FA83D7E2CF" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA Counterexample (August 2015)\033[133X\033[101X"
        , "2.9-3", [ 2, 9, 3 ], 6531, 159, "a counterexample august 2015", 
      "X85EECFD47EC252A2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing Character Tables of Central Extensio\
ns in \033[5XGAP\033[105X\033[101X\027\033[1X\027\033[133X\033[101X", "3", 
      [ 3, 0, 0 ], 1, 161, 
      "constructing character tables of central extensions in gap", 
      "X7A80D5ED7D6E57B7" ], 
  [ "\033[1X\033[33X\033[0;-2YCoprime Central Extensions\033[133X\033[101X", 
      "3.1", [ 3, 1, 0 ], 16, 161, "coprime central extensions", 
      "X87B17873861E2F64" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Character Table Head\033[133X\033[101X", 
      "3.1-1", [ 3, 1, 1 ], 36, 161, "the character table head", 
      "X85CB2671851D1206" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Irreducible Characters\033[133X\033[101X", 
      "3.1-2", [ 3, 1, 2 ], 88, 162, "the irreducible characters", 
      "X7D8F6E5D7D632046" ], 
  [ "\033[1X\033[33X\033[0;-2YOrdering of Conjugacy Classes\033[133X\033[101X"
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      "X867D16E07D36560F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCompatibility with Smaller Factor Groups\033[133X\
\033[101X", "3.1-4", [ 3, 1, 4 ], 182, 164, 
      "compatibility with smaller factor groups", "X813B9F5180A45077" ], 
  [ "\033[1X\033[33X\033[0;-2YExamples\033[133X\033[101X", "3.2", 
      [ 3, 2, 0 ], 254, 165, "examples", "X7A489A5D79DA9E5C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCentral Extensions of Simple \033[5XAtlas\033[105\
X\033[101X\027\033[1X\027 Groups\033[133X\033[101X", "3.2-1", [ 3, 2, 1 ], 
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  [ 
      "\033[1X\033[33X\033[0;-2YCentral Extensions of Other \033[5XAtlas\033[105X\
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      "X799ADD5487613BA2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCompatible Central Extensions of Maximal Subgroup\
s\033[133X\033[101X", "3.2-3", [ 3, 2, 3 ], 459, 168, 
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      "X861F558380FE4812" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe \033[10X2B\033[110X\033[101X\027\033[1X\027 C\
entralizer in \033[22X3.Fi_24'\033[122X\033[101X\027\033[1X\027 (January 2004)\
\033[133X\033[101X", "3.2-4", [ 3, 2, 4 ], 511, 169, 
      "the 2b centralizer in 3.fi_24 january 2004", "X7C73944579D6EE73" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XGAP\033[105X\033[101X\027\033[1X\027 Compu\
tations Concerning Hamiltonian Cycles in the Generating Graphs of Finite Group\
s\033[133X\033[101X", "4", [ 4, 0, 0 ], 1, 171, 
      "gap computations concerning hamiltonian cycles in the generating graphs\
 of finite groups", "X7D5919C182B1A462" ], 
  [ "\033[1X\033[33X\033[0;-2YOverview\033[133X\033[101X", "4.1", 
      [ 4, 1, 0 ], 49, 172, "overview", "X8389AD927B74BA4A" ], 
  [ "\033[1X\033[33X\033[0;-2YTheoretical Background\033[133X\033[101X", 
      "4.2", [ 4, 2, 0 ], 75, 172, "theoretical background", 
      "X7B6AEBDF7B857E2E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCharacter-Theoretic Lower Bounds for Vertex Degre\
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      "X7AD3962D7AE4ADFB" ], 
  [ "\033[1X\033[33X\033[0;-2YChecking the Criteria\033[133X\033[101X", 
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  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XGAP\033[105X\033[101X\027\033[1X\027 Funct\
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      "gap functions for the computations", "X7B56BE5384BAD54E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YComputing Vertex Degrees from the Group\033[133X\\
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      "computing vertex degrees from the group", "X802B2ED2802334B0" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YComputing Lower Bounds for Vertex Degrees\033[133\
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      "computing lower bounds for vertex degrees", "X87FE2DDD7F086D2F" ], 
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      "\033[1X\033[33X\033[0;-2YEvaluating the (Lower Bounds for the) Vertex Degr\
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  [ 
      "\033[1X\033[33X\033[0;-2YCharacter-Theoretic Computations\033[133X\033[101\
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      "X7A221012861440E2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSporadic Simple Groups, except the Monster\033[13\
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      "sporadic simple groups except the monster", "X78EFD6898145F244" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Monster\033[133X\033[101X", "4.4-2", 
      [ 4, 4, 2 ], 709, 182, "the monster", "X867D338F7F453092" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YNonsimple Automorphism Groups of Sporadic Simple \
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      "X7DC6DFCC83502CC3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAlternating and Symmetric Groups \033[22XA_n\033[\
122X\033[101X\027\033[1X\027, \033[22XS_n\033[122X\033[101X\027\033[1X\027, fo\
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      "alternating and symmetric groups a_n s_n for 5 a\211\244 n a\211\244 13\
", "X8130C9CB7A33140F" ], 
  [ "\033[1X\033[33X\033[0;-2YComputations With Groups\033[133X\033[101X", 
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  [ 
      "\033[1X\033[33X\033[0;-2YNonabelian Simple Groups of Order up to \033[22X1\
0^7\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "4.5-1", 
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      "nonsimple groups with nonsolvable socle of order at most 10^6", 
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  [ 
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  [ 
      "\033[1X\033[33X\033[0;-2Y\033[5XGAP\033[105X\033[101X\027\033[1X\027 Compu\
tations with \033[22XO_8^+(5).S_3\033[122X\033[101X\027\033[1X\027 and \033[22\
XO_8^+(2).S_3\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "5", 
      [ 5, 0, 0 ], 1, 196, 
      "gap computations with o_8^+ 5 .s_3 and o_8^+ 2 .s_3", 
      "X8703EFEE81DDE3DD" ], 
  [ "\033[1X\033[33X\033[0;-2YOverview\033[133X\033[101X", "5.1", 
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  [ 
      "\033[1X\033[33X\033[0;-2YConstructing Representations of \033[22XM.2\033[1\
22X\033[101X\027\033[1X\027 and \033[22XS.2\033[122X\033[101X\027\033[1X\027\
\033[133X\033[101X", "5.2", [ 5, 2, 0 ], 58, 197, 
      "constructing representations of m.2 and s.2", "X85FF559084C08F0F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA Matrix Representation of the Weyl Group of Type\
 \033[22XE_8\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "5.2-1", 
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      "a matrix representation of the weyl group of type e_8", 
      "X7FEE53AB845B9327" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YEmbedding the Weyl group of Type \033[22XE_8\033[\
122X\033[101X\027\033[1X\027 into GO\033[22X^+(8,5)\033[122X\033[101X\027\033[\
1X\027\033[133X\033[101X", "5.2-2", [ 5, 2, 2 ], 97, 197, 
      "embedding the weyl group of type e_8 into go^+ 8 5", 
      "X7C8AA7747F160F8A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCompatible Generators of \033[22XM\033[122X\033[1\
01X\027\033[1X\027, \033[22XM.2\033[122X\033[101X\027\033[1X\027, \033[22XS\
\033[122X\033[101X\027\033[1X\027, and \033[22XS.2\033[122X\033[101X\027\033[1\
X\027\033[133X\033[101X", "5.2-3", [ 5, 2, 3 ], 142, 198, 
      "compatible generators of m m.2 s and s.2", "X83E3E79F8724C365" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing Representations of \033[22XM.3\033[1\
22X\033[101X\027\033[1X\027 and \033[22XS.3\033[122X\033[101X\027\033[1X\027\
\033[133X\033[101X", "5.3", [ 5, 3, 0 ], 204, 199, 
      "constructing representations of m.3 and s.3", "X83F897DD7C48511C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XM.3\033[122X\033[101X\027\\
033[1X\027 on \033[22XM\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", 
      "5.3-1", [ 5, 3, 1 ], 207, 199, "the action of m.3 on m", 
      "X7B7561D0855EC4F1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XS.3\033[122X\033[101X\027\\
033[1X\027 on \033[22XS\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", 
      "5.3-2", [ 5, 3, 2 ], 283, 200, "the action of s.3 on s", 
      "X8246803779EB8FEE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing Compatible Generators of \033[22XH\\
033[122X\033[101X\027\033[1X\027 and \033[22XG\033[122X\033[101X\027\033[1X\
\027\033[133X\033[101X", "5.4", [ 5, 4, 0 ], 358, 202, 
      "constructing compatible generators of h and g", "X816AFA187E95C018" ], 
  [ "\033[1X\033[33X\033[0;-2YApplication: Regular Orbits of \033[22XH\033[122\
X\033[101X\027\033[1X\027 on \033[22XG/H\033[122X\033[101X\027\033[1X\027\033[\
133X\033[101X", "5.5", [ 5, 5, 0 ], 412, 202, 
      "application: regular orbits of h on g/h", "X83F0387D789709D1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAppendix: The Permutation Character \033[22X(1_H^\
G)_H\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "5.6", [ 5, 6, 0 ], 
      436, 203, "appendix: the permutation character 1_h^g _h", 
      "X7F0C266082BE1578" ], 
  [ "\033[1X\033[33X\033[0;-2YAppendix: The Data File\033[133X\033[101X", 
      "5.7", [ 5, 7, 0 ], 634, 206, "appendix: the data file", 
      "X7F3A630780F8E262" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSolvable Subgroups of Maximal Order in Sporadic S\
imple Groups\033[133X\033[101X", "6", [ 6, 0, 0 ], 1, 208, 
      "solvable subgroups of maximal order in sporadic simple groups", 
      "X7EF73AA88384B5F3" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Result\033[133X\033[101X", "6.1", 
      [ 6, 1, 0 ], 36, 208, "the result", "X7F817DC57A69CF0D" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Approach\033[133X\033[101X", "6.2", 
      [ 6, 2, 0 ], 229, 212, "the approach", "X876F77197B2FB84A" ], 
  [ "\033[1X\033[33X\033[0;-2YUse the Table of Marks\033[133X\033[101X", 
      "6.2-1", [ 6, 2, 1 ], 251, 212, "use the table of marks", 
      "X792957AB7B24C5E0" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YUse Information from the Character Table Library\\
033[133X\033[101X", "6.2-2", [ 6, 2, 2 ], 307, 213, 
      "use information from the character table library", "X7B39A4467A1CCF8A" 
     ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCases where the Table of Marks is available in \\
033[5XGAP\033[105X\033[101X\027\033[1X\027\033[133X\033[101X", "6.3", 
      [ 6, 3, 0 ], 383, 214, 
      "cases where the table of marks is available in gap", 
      "X834298A87BF43AAF" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YCases where the Table of Marks is not available i\
n \033[5XGAP\033[105X\033[101X\027\033[1X\027\033[133X\033[101X", "6.4", 
      [ 6, 4, 0 ], 486, 216, 
      "cases where the table of marks is not available in gap", 
      "X85559C0F7AA73E48" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Ru\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-1", [ 6, 4, 1 ], 493, 216, "g = ru", 
      "X7E393459822E78B5" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Suz\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-2", [ 6, 4, 2 ], 539, 217, "g = suz", 
      "X7AFF09337CCB7745" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = ON\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-3", [ 6, 4, 3 ], 575, 218, "g = on", 
      "X7969AE067D3862A3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Co_2\033[122X\033[101X\027\033[1X\\
027\033[133X\033[101X", "6.4-4", [ 6, 4, 4 ], 608, 218, "g = co_2", 
      "X84921B85845EDA31" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Fi_22\033[122X\033[101X\027\033[1X\\
027\033[133X\033[101X", "6.4-5", [ 6, 4, 5 ], 669, 219, "g = fi_22", 
      "X7D777A0D82BE8498" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = HN\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-6", [ 6, 4, 6 ], 708, 220, "g = hn", 
      "X7D9DB76A861A6F62" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Ly\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-7", [ 6, 4, 7 ], 739, 220, "g = ly", 
      "X83E6436678AF562C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Th\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-8", [ 6, 4, 8 ], 773, 221, "g = th", 
      "X7D6CF8EC812EF6FB" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Fi_23\033[122X\033[101X\027\033[1X\\
027\033[133X\033[101X", "6.4-9", [ 6, 4, 9 ], 805, 221, "g = fi_23", 
      "X7A07090483C935DC" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Co_1\033[122X\033[101X\027\033[1X\\
027\033[133X\033[101X", "6.4-10", [ 6, 4, 10 ], 834, 222, "g = co_1", 
      "X7D028E9E7CB62A4F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = J_4\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-11", [ 6, 4, 11 ], 873, 222, "g = j_4", 
      "X84208AB781344A9D" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = Fi_24^'\033[122X\033[101X\027\033[1X\\
027\033[133X\033[101X", "6.4-12", [ 6, 4, 12 ], 933, 223, "g = fi_24^", 
      "X7BC589718203F125" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = B\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-13", [ 6, 4, 13 ], 972, 224, "g = b", 
      "X7EDF990985573EB6" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XG = M\033[122X\033[101X\027\033[1X\027\\
033[133X\033[101X", "6.4-14", [ 6, 4, 14 ], 1264, 228, "g = m", 
      "X87D468D07D7237CB" ], 
  [ "\033[1X\033[33X\033[0;-2YProof of the Corollary\033[133X\033[101X", 
      "6.5", [ 6, 5, 0 ], 1546, 233, "proof of the corollary", 
      "X7CD8E04C7F32AD56" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YLarge Nilpotent Subgroups of Sporadic Simple Grou\
ps\033[133X\033[101X", "7", [ 7, 0, 0 ], 1, 234, 
      "large nilpotent subgroups of sporadic simple groups", 
      "X8102827B85FE3BCA" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Result\033[133X\033[101X", "7.1", 
      [ 7, 1, 0 ], 13, 234, "the result", "X7F817DC57A69CF0D" ], 
  [ "\033[1X\033[33X\033[0;-2YThe Proof\033[133X\033[101X", "7.2", 
      [ 7, 2, 0 ], 127, 236, "the proof", "X787B841383A16711" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAlternative: Use \033[5XGAP\033[105X\033[101X\\
027\033[1X\027's Tables of Marks\033[133X\033[101X", "7.3", [ 7, 3, 0 ], 331, 
      239, "alternative: use gaps tables of marks", "X798EACC07F6C36D9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPermutation Characters in \033[5XGAP\033[105X\\
033[101X\027\033[1X\027\033[133X\033[101X", "8", [ 8, 0, 0 ], 1, 242, 
      "permutation characters in gap", "X7A7EEBE9858333E1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSome Computations with \033[22XM_24\033[122X\033[\
101X\027\033[1X\027\033[133X\033[101X", "8.1", [ 8, 1, 0 ], 38, 242, 
      "some computations with m_24", "X86A1325B82E5AECD" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAll Possible Permutation Characters of \033[22XM_\
11\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "8.2", [ 8, 2, 0 ], 
      200, 245, "all possible permutation characters of m_11", 
      "X79C9051F805851DB" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XU_6(2)\033[122X\033[101X\\
027\033[1X\027 on the Cosets of \033[22XM_22\033[122X\033[101X\027\033[1X\027\
\033[133X\033[101X", "8.3", [ 8, 3, 0 ], 316, 247, 
      "the action of u_6 2 on the cosets of m_22", "X81A5FC968782CFC3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YDegree \033[22X20736\033[122X\033[101X\027\033[1X\
\027 Permutation Characters of \033[22XU_6(2)\033[122X\033[101X\027\033[1X\027\
\033[133X\033[101X", "8.4", [ 8, 4, 0 ], 403, 249, 
      "degree 20736 permutation characters of u_6 2", "X7EE1811C8496C428" ], 
  [ "\033[1X\033[33X\033[0;-2YDegree \033[22X57572775\033[122X\033[101X\027\
\033[1X\027 Permutation Characters of \033[22XO_8^+(3)\033[122X\033[101X\027\
\033[1X\027\033[133X\033[101X", "8.5", [ 8, 5, 0 ], 462, 250, 
      "degree 57572775 permutation characters of o_8^+ 3", 
      "X7DC6A6E785A347C8" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XO_7(3).2\033[122X\033[101X\\
027\033[1X\027 on the Cosets of \033[22X2^7.S_7\033[122X\033[101X\027\033[1X\
\027\033[133X\033[101X", "8.6", [ 8, 6, 0 ], 562, 251, 
      "the action of o_7 3 .2 on the cosets of 2^7.s_7", "X792D2C2380591D8D" ]
    , 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XO_8^+(3).2_1\033[122X\033[1\
01X\027\033[1X\027 on the Cosets of \033[22X2^7.A_8\033[122X\033[101X\027\033[\
1X\027\033[133X\033[101X", "8.7", [ 8, 7, 0 ], 655, 253, 
      "the action of o_8^+ 3 .2_1 on the cosets of 2^7.a_8", 
      "X875B361C8512939F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XS_4(4).4\033[122X\033[101X\\
027\033[1X\027 on the Cosets of \033[22X5^2.[2^5]\033[122X\033[101X\027\033[1X\
\027\033[133X\033[101X", "8.8", [ 8, 8, 0 ], 794, 256, 
      "the action of s_4 4 .4 on the cosets of 5^2.[2^5]", 
      "X7B1DFAF98182CFF4" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Action of \033[22XCo_1\033[122X\033[101X\027\\
033[1X\027 on the Cosets of Involution Centralizers\033[133X\033[101X", 
      "8.9", [ 8, 9, 0 ], 848, 256, 
      "the action of co_1 on the cosets of involution centralizers", 
      "X7F04F0C684AA8B30" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Multiplicity Free Permutation Characters of \\
033[22XG_2(3)\033[122X\033[101X\027\033[1X\027\033[133X\033[101X", "8.10", 
      [ 8, 10, 0 ], 982, 259, 
      "the multiplicity free permutation characters of g_2 3", 
      "X8230719D8538384B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YDegree \033[22X11200\033[122X\033[101X\027\033[1X\
\027 Permutation Characters of \033[22XO_8^+(2)\033[122X\033[101X\027\033[1X\
\027\033[133X\033[101X", "8.11", [ 8, 11, 0 ], 1041, 260, 
      "degree 11200 permutation characters of o_8^+ 2", "X7E3E326C7CB0E2CD" ],
  [ "\033[1X\033[33X\033[0;-2YA Proof of Nonexistence of a Certain Subgroup\
\033[133X\033[101X", "8.12", [ 8, 12, 0 ], 1086, 261, 
      "a proof of nonexistence of a certain subgroup", "X7D8572E68194CBB9" ], 
  [ "\033[1X\033[33X\033[0;-2YA Permutation Character of the Lyons group\033[1\
33X\033[101X", "8.13", [ 8, 13, 0 ], 1217, 263, 
      "a permutation character of the lyons group", "X8068E9DA7CD03BF2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIdentifying two subgroups of Aut\033[22X(U_3(5))\\
033[122X\033[101X\027\033[1X\027 (October\302\2402001)\033[133X\033[101X", 
      "8.14", [ 8, 14, 0 ], 1359, 265, 
      "identifying two subgroups of aut u_3 5 octobera\2402001", 
      "X87D6C1A67CC7EE0A" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA Permutation Character of Aut\033[22X(O_8^+(2))\\
033[122X\033[101X\027\033[1X\027 (October\302\2402001)\033[133X\033[101X", 
      "8.15", [ 8, 15, 0 ], 1462, 267, 
      "a permutation character of aut o_8^+ 2 octobera\2402001", 
      "X793669787CF73A55" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFour Primitive Permutation Characters of the Mons\
ter Group\033[133X\033[101X", "8.16", [ 8, 16, 0 ], 1523, 268, 
      "four primitive permutation characters of the monster group", 
      "X8337F3C682B6BE63" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Subgroup \033[22X2^2.2^11.2^22.(S_3 \303\227 \
M_24)\033[122X\033[101X\027\033[1X\027 (June\302\2402009)\033[133X\033[101X", 
      "8.16-1", [ 8, 16, 1 ], 1591, 269, 
      "the subgroup 2^2.2^11.2^22. s_3 a\227 m_24 junea\2402009", 
      "X78A8A1248336DD26" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Subgroup \033[22X2^3.2^6.2^12.2^18.(L_3(2) \\
303\227 3.S_6)\033[122X\033[101X\027\033[1X\027 (September\302\2402009)\033[13\
3X\033[101X", "8.16-2", [ 8, 16, 2 ], 1767, 272, 
      "the subgroup 2^3.2^6.2^12.2^18. l_3 2 a\227 3.s_6 septembera\2402009", 
      "X79E9247182B20474" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Subgroup \033[22X2^5.2^10.2^20.(S_3 \303\227 \
L_5(2))\033[122X\033[101X\027\033[1X\027 (October\302\2402009)\033[133X\033[10\
1X", "8.16-3", [ 8, 16, 3 ], 2032, 276, 
      "the subgroup 2^5.2^10.2^20. s_3 a\227 l_5 2 octobera\2402009", 
      "X7BC36C597E542DEE" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YThe Subgroup \033[22X2^{10+16}.O_10^+(2)\033[122X\
\033[101X\027\033[1X\027 (November\302\2402009)\033[133X\033[101X", "8.16-4", 
      [ 8, 16, 4 ], 2296, 281, 
      "the subgroup 2^{10+16}.o_10^+ 2 novembera\2402009", 
      "X7F2ABD3E7AFF5F6E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA permutation character of the Baby Monster (June\
\302\2402012)\033[133X\033[101X", "8.17", [ 8, 17, 0 ], 2665, 287, 
      "a permutation character of the baby monster junea\2402012", 
      "X87D11B097D95D027" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YA permutation character of \033[22X2.B\033[122X\\
033[101X\027\033[1X\027 (October\302\2402017)\033[133X\033[101X", "8.18", 
      [ 8, 18, 0 ], 2769, 289, 
      "a permutation character of 2.b octobera\2402017", "X86827FA97D27F3A2" ]
    , 
  [ 
      "\033[1X\033[33X\033[0;-2YGeneration of sporadic simple groups by \033[22X\\
317\200\033[122X\033[101X\027\033[1X\027- and \033[22X\317\200'\033[122X\033[1\
01X\027\033[1X\027-subgroups (December\302\2402021)\033[133X\033[101X", 
      "8.19", [ 8, 19, 0 ], 2939, 292, 
      "generation of sporadic simple groups by i\200- and i\200-subgroups dece\
mbera\2402021", "X849F0EA6807C9B19" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAmbiguous Class Fusions in the \033[5XGAP\033[105\
X\033[101X\027\033[1X\027 Character Table Library\033[133X\033[101X", "9", 
      [ 9, 0, 0 ], 1, 302, 
      "ambiguous class fusions in the gap character table library", 
      "X7A03A83E87FB1189" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSome \033[5XGAP\033[105X\033[101X\027\033[1X\027 \
Utilities\033[133X\033[101X", "9.1", [ 9, 1, 0 ], 30, 302, 
      "some gap utilities", "X784492877DB04FE9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFusions Determined by Factorization through Inter\
mediate Subgroups\033[133X\033[101X", "9.2", [ 9, 2, 0 ], 57, 303, 
      "fusions determined by factorization through intermediate subgroups", 
      "X7EA839057D3AD3B4" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XCo_3N5 \342\206\222 Co_3\033[122X\033[101\
X\027\033[1X\027 (September 2002)\033[133X\033[101X", "9.2-1", [ 9, 2, 1 ], 
      63, 303, "co_3n5 a\206\222 co_3 september 2002", "X78DCEEFD85FF1EE2" ], 
  [ "\033[1X\033[33X\033[0;-2Y\033[22X31:15 \342\206\222 B\033[122X\033[101X\
\027\033[1X\027 (March 2003)\033[133X\033[101X", "9.2-2", [ 9, 2, 2 ], 139, 
      304, "31:15 a\206\222 b march 2003", "X86BCEA907EC4C833" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XSuzN3 \342\206\222 Suz\033[122X\033[101X\\
027\033[1X\027 (September 2002)\033[133X\033[101X", "9.2-3", [ 9, 2, 3 ], 
      170, 305, "suzn3 a\206\222 suz september 2002", "X7C719F527831F35A" ], 
  [ "\033[1X\033[33X\033[0;-2Y\033[22XF_{3+}N5 \342\206\222 F_{3+}\033[122X\
\033[101X\027\033[1X\027 (March 2002)\033[133X\033[101X", "9.2-4", 
      [ 9, 2, 4 ], 227, 306, "f_{3+}n5 a\206\222 f_{3+} march 2002", 
      "X828879F481EF30DD" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFusions Determined Using Commutative Diagrams Inv\
olving Smaller Subgroups\033[133X\033[101X", "9.3", [ 9, 3, 0 ], 298, 307, 
      "fusions determined using commutative diagrams involving smaller subgrou\
ps", "X7981579278F81AC6" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XBN7 \342\206\222 B\033[122X\033[101X\027\\
033[1X\027 (March 2002)\033[133X\033[101X", "9.3-1", [ 9, 3, 1 ], 320, 307, 
      "bn7 a\206\222 b march 2002", "X7F5186E28201B027" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22X(A_4 \303\227 O_8^+(2).3).2 \342\206\222 \
Fi_24^'\033[122X\033[101X\027\033[1X\027 (November 2002)\033[133X\033[101X", 
      "9.3-2", [ 9, 3, 2 ], 387, 308, 
      "a_4 a\227 o_8^+ 2 .3 .2 a\206\222 fi_24^ november 2002", 
      "X79710B137B5BB1B8" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22XA_6 \303\227 L_2(8).3 \342\206\222 Fi_24^\
'\033[122X\033[101X\027\033[1X\027 (November 2002)\033[133X\033[101X", 
      "9.3-3", [ 9, 3, 3 ], 453, 309, 
      "a_6 a\227 l_2 8 .3 a\206\222 fi_24^ november 2002", 
      "X85822C647B29117B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2Y\033[22X(3^2:D_8 \303\227 U_4(3).2^2).2 \342\206\\
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