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<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >script type="text/javascript" "https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (CTblLib) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chap7_mj.html" >7</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0.html" >[MathJax off]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >The <strong class="pkg" >GAP</strong > Character Table Library</h1 >div >br />Email: <span class="URL" ><a href="mailto:sam@math.rwth-aachen.de" >sam@math.rwth-aachen.de</a></span >br />Homepage: <span class="URL" ><a href="https://www.math.rwth-aachen.de/~Thomas.Breuer " >https://www.math.rwth-aachen.de/~Thomas.Breuer</a></span >"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>on 3 or later, see <span class="URL" ><a href="http://www.gnu.org/licenses " >http://www.gnu.org/licenses</a></span >.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1_mj.html#X86DEA3CF7802FFF7" >1 <span class="Heading" >Introduction to the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X7ED5D4B77E9F2A4C" >1.1 <span class="Heading" >History of the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1_mj.html#X7DFD446B7840A6E0" >1.2 <span class="Heading" >What's New in CTblLib , span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X84BDBA6B7F5900CC" >1.2-1 <span class="Heading" >What's New in Version 1.3.11? span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1_mj.html#X85710FDF79D428D2" >1.2-2 <span class="Heading" >What's New in Version 1.3.9? (March 2024)
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torial for the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X86B34875862028E8" >2.1 <span class="Heading" >Concepts used in the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X84930B2D7849E019" >2.2 <span class="Heading" >Accessing a Character Table from the Library</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X8658DC3A83B5A98B" >2.2-1 <span class="Heading" >Accessing a Character Table via a name</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7AA474817D17BF49" >2.2-2 <span class="Heading" >Accessing a Character Table via properties</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7C6BFB4384CAFFC8" >2.2-3 <span class="Heading" >Accessing a Character Table via a Table of Marks</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7E6AF18C7F139F54" >2.2-4 <span class="Heading" >Accessing a Character Table relative to another Character Table span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7CD1E9AA871848EC" >2.2-5 <span class="Heading" >Different character tables for the same group</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X83B721F3801ED6D1" >2.3 <span class="Heading" >Examples of Using the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X87AC9A4181AC369C" >2.3-1 <span class="Heading" >Example: Ambivalent Simple Groups</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7AD705F685FBF179" >2.3-2 <span class="Heading" >Example: Simple <span class="SimpleMath" >\(p\)</span >-pure Groups</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7C2C7B138646D0C5" >2.3-3 <span class="Heading" >Example: Simple Groups with only one <span class="SimpleMath" >\(p\)</span >-Block</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7FA308D585DC1B40" >2.3-4 <span class="Heading" >Example:The Sylow <span class="SimpleMath" >\(3\)</span > subgroup of <span class="SimpleMath" >\(3.O'N\) span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X83BF83D87BC1B123" >2.3-5 <span class="Heading" >Example: Primitive Permutation Characters of <span class="SimpleMath" >\(2.A_6\)</span ></span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X808DD8997F10D429" >2.3-6 <span class="Heading" >Example: A Permutation Character of <span class="SimpleMath" >\(Fi_{23}\)</span ></span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7A23CB7D8267FE55" >2.3-7 <span class="Heading" >Example: Non-commutators in the commutator group</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X79CDDEE67A41EAB8" >2.3-8 <span class="Heading" >Example: An irreducible <span class="SimpleMath" >\(11\)</span >-modular character of <span class="SimpleMath" >\(J_4\)</span >span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X8135F74080E50B14" >2.3-9 <span class="Heading" >Example: Tensor Products that are Generalized Projectivesspan ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7AD5E36B7D44C507" >2.3-10 <span class="Heading" >Example: Certain elementary abelian subgroups in quasisimple groupsspan ></a>span >div ></div >div >div class="ContChap" ><a href="chap3_mj.html#X7EB517EB7A50A58F" >3 <span class="Heading" >The User Interface to the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7A5EECF8853A05A0" >3.1 <span class="Heading" >Accessing Data of the <strong class="pkg" >CTblLib</strong > Package</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X818A9DE5799A4809" >3.1-1 <span class="Heading" >Admissible Names for Character Tables in <strong class="pkg" >CTblLib</strong >span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X86C06F408706F27A" >3.1-2 CharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7E42C22278DA4048" >3.1-3 BrauerTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7C091641852BB6FE" >3.1-4 AllCharacterTableNames</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7EC4A57E8393D75C" >3.1-5 OneCharacterTableName</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X845DEEE282D4F1EB" >3.1-6 NameOfEquivalentLibraryCharacterTable</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7EED71B4827BEBFA" >3.2 <span class="Heading" >The Interface to the <strong class="pkg" >TomLib</strong > Package</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8400C0397CA2FA3C" >3.2-1 TableOfMarks</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X87110C1584D09BE4" >3.2-2 CharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7A82CB487DBDDC53" >3.2-3 FusionCharTableTom</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7B1AAED68753B1BE" >3.2-4 FusionToTom</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8435BFE878FFFDAB" >3.2-5 NameOfLibraryCharacterTable</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X83D85EB2792D9D22" >3.3 <span class="Heading" >The Interface to <strong class="pkg" >GAP</strong >'s Group Libraries span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X78DCD38B7D96D8A4" >3.3-1 GroupInfoForCharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X87CFDC8081767CA4" >3.3-2 KnowsSomeGroupInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X78B7A5DB87B5285C" >3.3-3 CharacterTableForGroupInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X804D2AC37E0D4755" >3.3-4 GroupForGroupInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X83B9EFB47CE0A617" >3.3-5 GroupForTom</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8032EF83823B1D88" >3.3-6 AtlasStabilizer</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7AADD757809DFDD5" >3.3-7 IsNontrivialDirectProduct</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7C1F6C01852D7933" >3.4 <span class="Heading" >Unipotent Characters of Finite Groups of Lie Type</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X79F645F278C27F23" >3.4-1 UnipotentCharacter</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X803FD7F87AFBBDE4" >3.4-2 DeligneLusztigNames</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X84B9D8EF84EB4145" >3.4-3 DeligneLusztigName</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X78A05C0A82E23048" >3.4-4 KnowsDeligneLusztigNames</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7900893987A89915" >3.5 <span class="Heading" ><strong class="pkg" >Browse</strong > Applications Provided bystrong class="pkg" >CTblLib</strong ></span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8684C73E844E7033" >3.5-1 DisplayCTblLibInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7A038A267CD17032" >3.5-2 BrowseCTblLibInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X83FDD44E7E0AE885" >3.5-3 BrowseCommonIrrationalities</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X87CA74CF7B533CC6" >3.5-4 BrowseCTblLibDifferences</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8135745381E1C0E2" >3.5-5 BrowseAtlasContents</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X810789F77F20C839" >3.5-6 DisplayAtlasContents</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X86AC6408815EF122" >3.5-7 BrowseAtlasMap</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X875A6BB485A49976" >3.5-8 DisplayAtlasMap</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X79DC72707B08A701" >3.5-9 BrowseAtlasTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X79E3F783818FE75A" >3.5-10 BrowseAtlasImprovements</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7E5CFB187E313B11" >3.6 <span class="Heading" >Duplicates of Library Character Tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7FD4A9DF7CBAA418" >3.6-1 IsDuplicateTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X860F49407882658F" >3.6-2 IdentifierOfMainTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7C83435B78DE62F6" >3.6-3 IdentifiersOfDuplicateTables</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7CCFEC998135F6FA" >3.7 <span class="Heading" >Attributes for Library Character Tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X8150E63F7DBDF252" >3.7-1 Maxes</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X82DC2E7779322DA8" >3.7-2 ProjectivesInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X82A008987DB887C2" >3.7-3 ExtensionInfoCharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X851118377D1D6EC9" >3.7-4 ConstructionInfoCharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X871562FD7F982C12" >3.7-5 InfoText</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X867813EB79DC6953" >3.7-6 IsAtlasCharacterTable</a></span >div ></div >div >div class="ContChap" ><a href="chap4_mj.html#X85854AF07F2F8745" >4 <span class="Heading" >Contents of the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X80EEFF8B79856A75" >4.1 <span class="Heading" >Ordinary and Brauer Tables in the <strong class="pkg" strong > Character Table Libraryspan ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8569BC8E7A9D4BCE" >4.1-1 <span class="Heading" >Ordinary Character Tables</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7AD048607A08C6FF" >4.1-2 <span class="Heading" >Brauer Tables</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X81E3F9A384365282" >4.2 <span class="Heading" >Generic Character Tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X78CD9A2D8680506B" >4.2-1 <span class="Heading" >Available generic character tables</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X78DA225F78F381C9" >4.2-2 CharacterTableSpecialized</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7C2CB9E07990B63D" >4.2-3 <span class="Heading" >Components of generic character tables</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7D693E9787073E30" >4.2-4 <span class="Heading" >Example: The generic table of cyclic groups</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X81231BCE79486FA3" >4.2-5 <span class="Heading" >Example: The generic table of the general linear group GL<span class="SimpleMath" >\((2,q)\)</span >span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X7F44BD4B79473085" >4.3 <span class="Heading" ><strong class="pkg" >Atlas</strong > Tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7CC608CD8690F9B1" >4.3-1 <span class="Heading" >Improvements to the <strong class="pkg" >Atlas</strong ></span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7FED949A86575949" >4.3-2 <span class="Heading" >Power Maps</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X824823F47BB6AD6C" >4.3-3 <span class="Heading" >Projective Characters and Projections</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X78732CDF85FB6774" >4.3-4 <span class="Heading" >Tables of Isoclinic Groups</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7C4B91CD84D5CDCC" >4.3-5 <span class="Heading" >Ordering of Characters and Classes</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7ADC9DC980CF0685" >4.3-6 AtlasLabelsOfIrreducibles</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X827044A37C04C0D1" >4.3-7 <span class="Heading" >Examples of the <strong class="pkg" >Atlas</strong > Format for <strong class="pkg" >GAP</strong > Tables</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X7BC3F0B0814D5B67" >4.4 <span class="Heading" ><strong class="pkg" >CAS</strong > Tables</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X786A80A279674E91" >4.4-1 CASInfo</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X835811C279FB1E56" >4.5 <span class="Heading" >Customizations of the <strong class="pkg" >GAP</strong Table Library</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8202ACD57ACD5CAC" >4.5-1 <span class="Heading" >Installing the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X83FA9D6B86150501" >4.5-2 <span class="Heading" >Unloading Character Table Data</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7E859C3482F27089" >4.5-3 <span class="Heading" >Changing the display format of several functions</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7DFAD31F84F55870" >4.5-4 <span class="Heading" >User preference <code class="code" >MagmaPath</code ></span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X8782716579A1B993" >4.6 <span class="Heading" >Technicalities of the Access to Character Tables from the Libraryspan ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X84E18B0B84F50B1E" >4.6-1 <span class="Heading" >Data Files of the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X84E728FD860CAC0F" >4.6-2 LIBLIST</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X80B7DF9C83A0F3F1" >4.6-3 LibInfoCharacterTable</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X78FFDF0F83E7EB0D" >4.7 <span class="Heading" >How to Extend the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X7A3B010A8790DD6E" >4.7-1 NotifyNameOfCharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8160EA7C85DCB485" >4.7-2 LibraryFusion</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X79E06BD67F6BC3A5" >4.7-3 LibraryFusionTblToTom</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X780CBC347876A54B" >4.7-4 PrintToLib</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X79366F797CD02DAF" >4.7-5 NotifyCharacterTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4_mj.html#X8374B5D081F85DBC" >4.7-6 NotifyCharacterTables</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X7E3235FD7864A672" >4.8 <span class="Heading" >Sanity Checks for the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4_mj.html#X7D24C9D17DAB50D0" >4.9 <span class="Heading" >Maintenance of the <strong class="pkg" >GAP</strong > Character Table Library</span ></a>span >div >div >div class="ContChap" ><a href="chap5_mj.html#X7B915AD178236991" >5 <span class="Heading" >Functions for Character Table Constructions</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X7C32AA0784A79D53" >5.1 <span class="Heading" >Character Tables of Groups of Structure <span class="SimpleMath" >\(M.G.A\)</span ></span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X78F82DD67E083B88" >5.1-1 PossibleCharacterTablesOfTypeMGA</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X83BE977185ADC24B" >5.1-2 BrauerTableOfTypeMGA</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7899AA12836EEF8F" >5.1-3 PossibleActionsForTypeMGA</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X821F4CB186913250" >5.2 <span class="Heading" >Character Tables of Groups of Structure <span class="SimpleMath" >\(G.S_3\)</span ></span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7E06095E7CB3316D" >5.2-1 <span class="Heading" >CharacterTableOfTypeGS3</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X82FC6C377BEF0139" >5.2-2 PossibleActionsForTypeGS3</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X83EB02D38624821C" >5.3 <span class="Heading" >Character Tables of Groups of Structure <span class="SimpleMath" >\(G.2^2\)</span ></span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7CACDDED7A8C1CF9" >5.3-1 <span class="Heading" >PossibleCharacterTablesOfTypeGV4</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7CCD5A2979883144" >5.3-2 PossibleActionsForTypeGV4</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X79142119791673EF" >5.4 <span class="Heading" >Character Tables of Groups of Structure <span class="SimpleMath" >\(2^2.G\)</span ></span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7E7043A5857B9240" >5.4-1 <span class="Heading" >PossibleCharacterTablesOfTypeV4G</span ></a>span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X8536F9027F097C79" >5.4-2 <span class="Heading" >BrauerTableOfTypeV4G</span ></a>span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X7B7282A37F293B36" >5.5 <span class="Heading" >Character Tables of Subdirect Products of Index Two</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7D0207B07B48FD06" >5.5-1 CharacterTableOfIndexTwoSubdirectProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X8714D24B802DA949" >5.5-2 ConstructIndexTwoSubdirectProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X8254CA95814DF613" >5.5-3 ConstructIndexTwoSubdirectProductInfo</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X81255DAA7AB13278" >5.6 <span class="Heading" >Brauer Tables of Extensions by <span class="SimpleMath" >\(p\)</span >-regular Automorphismsspan ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7AF3EA6C783FCFF9" >5.6-1 IBrOfExtensionBySingularAutomorphism</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X844C69217B80537A" >5.7 <span class="Heading" >Character Tables of Coprime Central Extensions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X82CEF31D7815C53D" >5.7-1 CharacterTableOfCommonCentralExtension</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5_mj.html#X874C19D079CE0BE0" >5.8 <span class="Heading" >Construction Functions used in the Character Table Library</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7A948B397B5BC0AD" >5.8-1 ConstructMGA</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X84DE92E579BA7171" >5.8-2 ConstructMGAInfo</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X80F14D1C86CF1E9C" >5.8-3 ConstructGS3</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7C1CE54A864936E0" >5.8-4 ConstructV4G</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X8726ADCC7BCEA96F" >5.8-5 ConstructProj</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7EF9996082140544" >5.8-6 ConstructDirectProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X781EAFEB80EC1ED8" >5.8-7 ConstructCentralProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X84F6BB30845D75E1" >5.8-8 ConstructSubdirect</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7F26BEC67B744999" >5.8-9 ConstructWreathSymmetric</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7F6A9FE57C77D778" >5.8-10 ConstructIsoclinic</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X7D3F0AC2825C8CA1" >5.8-11 ConstructPermuted</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X85FE8954830F85A0" >5.8-12 ConstructAdjusted</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5_mj.html#X803FE1FF82790290" >5.8-13 ConstructFactor</a></span >div ></div >div >div class="ContChap" ><a href="chap6_mj.html#X81C250407B91443F" >6 <span class="Heading" >Interfaces to Other Data Formats for Character Tables</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X79F5E5A283E0D190" >6.1 <span class="Heading" >Interface to the <strong class="pkg" >CAS</strong > System</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X841537DA7E495B73" >6.1-1 CASString</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X835EE8028539BB63" >6.2 <span class="Heading" >Interface to the <strong class="pkg" >MOC</strong > System</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X842957217E3697A1" >6.2-1 MAKElb11</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X832005B37F0A2872" >6.2-2 MOCTable</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7FBC528C7818814C" >6.2-3 MOCString</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7F17B82879C8F953" >6.2-4 ScanMOC</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7FBA67C585BEBFE5" >6.2-5 GAPChars</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7BF1B6BF83BDD27E" >6.2-6 MOCChars</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X80E1850F7DCED030" >6.3 <span class="Heading" >Interface to <strong class="pkg" >GAP</strong > 3</span span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7DB321DE80046931" >6.3-1 GAP3CharacterTableScan</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7B2C53137D1227FE" >6.3-2 GAP3CharacterTableString</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7B2725D2789A9D85" >6.3-3 GAP3CharacterTableData</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X7806073380076800" >6.4 <span class="Heading" >Interface to the Cambridge Format</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X78A84889878D98BB" >6.4-1 CambridgeMaps</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X8209063C813240E5" >6.4-2 StringOfCambridgeFormat</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X8676916F81F40A0F" >6.5 <span class="Heading" >Interface to the <strong class="pkg" >MAGMA</strong > System</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X79D160BD7ECA6D2F" >6.5-1 BosmaBase</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X7B1FAE1A7FD5D5A1" >6.5-2 GAPTableOfMagmaFile</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X824D2B4A79A9E5AE" >6.5-3 CharacterTableComputedByMagma</a></span >div ></div >div >div class="ContChap" ><a href="chap7_mj.html#X797E1693780F1093" >7 <span class="Heading" >Utility Functions Provided by the <strong class="pkg" >CTblLib</strong >span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7_mj.html#X7BC89F7C8460E979" >7.1 <span class="Heading" >Write Character Values in Terms of Atomic <strong class="pkg" >Atlas</strong >span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7_mj.html#X874167957FD2B7EA" >7.1-1 CTblLib.StringOfAtlasIrrationality</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7_mj.html#X7D867FE08240B83B" >7.2 <span class="Heading" >Create a String that Describes the Group Structure</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7_mj.html#X816807E4874585FD" >7.2-1 StructureDescriptionCharacterTableName</a></span >div ></div >div >div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chap7_mj.html" >7</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 100%
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