\contentsline {chapter}{\numberline {1}\textcolor {Chapter }{Introduction to the \textsf {GAP} Character Table Library}}{5}{chapter.1}%
\contentsline {section}{\numberline {1.1}\textcolor {Chapter }{History of the \textsf {GAP} Character Table Library}}{7}{section.1.1}%
\contentsline {section}{\numberline {1.2}\textcolor {Chapter }{What's New in \textsf {CTblLib}, Compared to Older Versions?}}{7}{section.1.2}%
\contentsline {subsection}{\numberline {1.2.1}\textcolor {Chapter }{What's New in Version 1.3.4? (April 2022)}}{7}{subsection.1.2.1}%
\contentsline {subsection}{\numberline {1.2.2}\textcolor {Chapter }{What's New in Version 1.3.3? (January 2022)}}{8}{subsection.1.2.2}%
\contentsline {subsection}{\numberline {1.2.3}\textcolor {Chapter }{What's New in Version 1.3.2? (March 2021)}}{8}{subsection.1.2.3}%
\contentsline {subsection}{\numberline {1.2.4}\textcolor {Chapter }{What's New in Version 1.3.1? (April 2020)}}{9}{subsection.1.2.4}%
\contentsline {subsection}{\numberline {1.2.5}\textcolor {Chapter }{What's New in Version 1.3.0? (December 2019)}}{9}{subsection.1.2.5}%
\contentsline {subsection}{\numberline {1.2.6}\textcolor {Chapter }{What's New in Version 1.2.2? (March 2013)}}{11}{subsection.1.2.6}%
\contentsline {subsection}{\numberline {1.2.7}\textcolor {Chapter }{What's New in Version 1.2.0 and 1.2.1? (May 2012)}}{11}{subsection.1.2.7}%
\contentsline {subsection}{\numberline {1.2.8}\textcolor {Chapter }{What's New in Version 1.1? (November 2003)}}{12}{subsection.1.2.8}%
\contentsline {section}{\numberline {1.3}\textcolor {Chapter }{Acknowledgements}}{13}{section.1.3}%
\contentsline {chapter}{\numberline {2}\textcolor {Chapter }{Tutorial for the \textsf {GAP} Character Table Library}}{15}{chapter.2}%
\contentsline {section}{\numberline {2.1}\textcolor {Chapter }{Concepts used in the \textsf {GAP} Character Table Library}}{15}{section.2.1}%
\contentsline {section}{\numberline {2.2}\textcolor {Chapter }{Accessing a Character Table from the Library}}{16}{section.2.2}%
\contentsline {subsection}{\numberline {2.2.1}\textcolor {Chapter }{Accessing a Character Table via a name}}{16}{subsection.2.2.1}%
\contentsline {subsection}{\numberline {2.2.2}\textcolor {Chapter }{Accessing a Character Table via properties}}{16}{subsection.2.2.2}%
\contentsline {subsection}{\numberline {2.2.3}\textcolor {Chapter }{Accessing a Character Table via a Table of Marks}}{17}{subsection.2.2.3}%
\contentsline {subsection}{\numberline {2.2.4}\textcolor {Chapter }{Accessing a Character Table relative to another Character Table }}{17}{subsection.2.2.4}%
\contentsline {subsection}{\numberline {2.2.5}\textcolor {Chapter }{Different character tables for the same group}}{18}{subsection.2.2.5}%
\contentsline {section}{\numberline {2.3}\textcolor {Chapter }{Examples of Using the \textsf {GAP} Character Table Library}}{19}{section.2.3}%
\contentsline {subsection}{\numberline {2.3.1}\textcolor {Chapter }{Example: Ambivalent Simple Groups}}{20}{subsection.2.3.1}%
\contentsline {subsection}{\numberline {2.3.2}\textcolor {Chapter }{Example: Simple $p$-pure Groups}}{20}{subsection.2.3.2}%
\contentsline {subsection}{\numberline {2.3.3}\textcolor {Chapter }{Example: Simple Groups with only one $p$-Block}}{21}{subsection.2.3.3}%
\contentsline {subsection}{\numberline {2.3.4}\textcolor {Chapter }{Example:The Sylow $3$ subgroup of $3.O'N$}}{22}{subsection.2.3.4}%
\contentsline {subsection}{\numberline {2.3.5}\textcolor {Chapter }{Example: Primitive Permutation Characters of $2.A_6$}}{22}{subsection.2.3.5}%
\contentsline {subsection}{\numberline {2.3.6}\textcolor {Chapter }{Example: A Permutation Character of $Fi_{23}$}}{23}{subsection.2.3.6}%
\contentsline {subsection}{\numberline {2.3.7}\textcolor {Chapter }{Example: Non-commutators in the commutator group}}{24}{subsection.2.3.7}%
\contentsline {subsection}{\numberline {2.3.8}\textcolor {Chapter }{Example: An irreducible $11$-modular character of $J_4$ (December 2018)}}{25}{subsection.2.3.8}%
\contentsline {subsection}{\numberline {2.3.9}\textcolor {Chapter }{Example: Tensor Products that are Generalized Projectives (October 2019)}}{27}{subsection.2.3.9}%
\contentsline {subsection}{\numberline {2.3.10}\textcolor {Chapter }{Example: Certain elementary abelian subgroups in quasisimple groups (November 2020)}}{29}{subsection.2.3.10}%
\contentsline {chapter}{\numberline {3}\textcolor {Chapter }{The User Interface to the \textsf {GAP} Character Table Library}}{39}{chapter.3}%
\contentsline {section}{\numberline {3.1}\textcolor {Chapter }{Accessing Data of the \textsf {CTblLib} Package}}{39}{section.3.1}%
\contentsline {subsection}{\numberline {3.1.1}\textcolor {Chapter }{Admissible Names for Character Tables in \textsf {CTblLib} }}{39}{subsection.3.1.1}%
\contentsline {subsection}{\numberline {3.1.2}\textcolor {Chapter }{CharacterTable (for a string)}}{40}{subsection.3.1.2}%
\contentsline {subsection}{\numberline {3.1.3}\textcolor {Chapter }{BrauerTable (for a string, and a prime integer)}}{40}{subsection.3.1.3}%
\contentsline {subsection}{\numberline {3.1.4}\textcolor {Chapter }{AllCharacterTableNames}}{41}{subsection.3.1.4}%
\contentsline {subsection}{\numberline {3.1.5}\textcolor {Chapter }{OneCharacterTableName}}{43}{subsection.3.1.5}%
\contentsline {subsection}{\numberline {3.1.6}\textcolor {Chapter }{NameOfEquivalentLibraryCharacterTable}}{44}{subsection.3.1.6}%
\contentsline {section}{\numberline {3.2}\textcolor {Chapter }{The Interface to the \textsf {TomLib} Package}}{44}{section.3.2}%
\contentsline {subsection}{\numberline {3.2.1}\textcolor {Chapter }{TableOfMarks (for a character table from the library)}}{44}{subsection.3.2.1}%
\contentsline {subsection}{\numberline {3.2.2}\textcolor {Chapter }{CharacterTable (for a table of marks)}}{45}{subsection.3.2.2}%
\contentsline {subsection}{\numberline {3.2.3}\textcolor {Chapter }{FusionCharTableTom}}{45}{subsection.3.2.3}%
\contentsline {subsection}{\numberline {3.2.4}\textcolor {Chapter }{FusionToTom}}{45}{subsection.3.2.4}%
\contentsline {subsection}{\numberline {3.2.5}\textcolor {Chapter }{NameOfLibraryCharacterTable}}{46}{subsection.3.2.5}%
\contentsline {section}{\numberline {3.3}\textcolor {Chapter }{The Interface to \textsf {GAP}'s Group Libraries}}{46}{section.3.3}%
\contentsline {subsection}{\numberline {3.3.1}\textcolor {Chapter }{GroupInfoForCharacterTable}}{46}{subsection.3.3.1}%
\contentsline {subsection}{\numberline {3.3.2}\textcolor {Chapter }{KnowsSomeGroupInfo}}{47}{subsection.3.3.2}%
\contentsline {subsection}{\numberline {3.3.3}\textcolor {Chapter }{CharacterTableForGroupInfo}}{48}{subsection.3.3.3}%
\contentsline {subsection}{\numberline {3.3.4}\textcolor {Chapter }{GroupForGroupInfo}}{48}{subsection.3.3.4}%
\contentsline {subsection}{\numberline {3.3.5}\textcolor {Chapter }{GroupForTom}}{48}{subsection.3.3.5}%
\contentsline {subsection}{\numberline {3.3.6}\textcolor {Chapter }{AtlasStabilizer}}{49}{subsection.3.3.6}%
\contentsline {subsection}{\numberline {3.3.7}\textcolor {Chapter }{IsNontrivialDirectProduct}}{49}{subsection.3.3.7}%
\contentsline {section}{\numberline {3.4}\textcolor {Chapter }{Unipotent Characters of Finite Groups of Lie Type}}{49}{section.3.4}%
\contentsline {subsection}{\numberline {3.4.1}\textcolor {Chapter }{UnipotentCharacter}}{50}{subsection.3.4.1}%
\contentsline {subsection}{\numberline {3.4.2}\textcolor {Chapter }{DeligneLusztigNames}}{50}{subsection.3.4.2}%
\contentsline {subsection}{\numberline {3.4.3}\textcolor {Chapter }{DeligneLusztigName}}{51}{subsection.3.4.3}%
\contentsline {subsection}{\numberline {3.4.4}\textcolor {Chapter }{KnowsDeligneLusztigNames}}{51}{subsection.3.4.4}%
\contentsline {section}{\numberline {3.5}\textcolor {Chapter }{\textsf {Browse} Applications Provided by \textsf {CTblLib}}}{51}{section.3.5}%
\contentsline {subsection}{\numberline {3.5.1}\textcolor {Chapter }{DisplayCTblLibInfo (for a character table)}}{52}{subsection.3.5.1}%
\contentsline {subsection}{\numberline {3.5.2}\textcolor {Chapter }{BrowseCTblLibInfo}}{52}{subsection.3.5.2}%
\contentsline {subsection}{\numberline {3.5.3}\textcolor {Chapter }{BrowseCommonIrrationalities}}{54}{subsection.3.5.3}%
\contentsline {subsection}{\numberline {3.5.4}\textcolor {Chapter }{BrowseCTblLibDifferences}}{55}{subsection.3.5.4}%
\contentsline {subsection}{\numberline {3.5.5}\textcolor {Chapter }{BrowseAtlasContents}}{56}{subsection.3.5.5}%
\contentsline {subsection}{\numberline {3.5.6}\textcolor {Chapter }{DisplayAtlasContents}}{57}{subsection.3.5.6}%
\contentsline {subsection}{\numberline {3.5.7}\textcolor {Chapter }{BrowseAtlasMap}}{57}{subsection.3.5.7}%
\contentsline {subsection}{\numberline {3.5.8}\textcolor {Chapter }{DisplayAtlasMap (for the name of a simple group)}}{58}{subsection.3.5.8}%
\contentsline {subsection}{\numberline {3.5.9}\textcolor {Chapter }{BrowseAtlasTable}}{61}{subsection.3.5.9}%
\contentsline {subsection}{\numberline {3.5.10}\textcolor {Chapter }{BrowseAtlasImprovements}}{62}{subsection.3.5.10}%
\contentsline {section}{\numberline {3.6}\textcolor {Chapter }{Duplicates of Library Character Tables}}{63}{section.3.6}%
\contentsline {subsection}{\numberline {3.6.1}\textcolor {Chapter }{IsDuplicateTable}}{64}{subsection.3.6.1}%
\contentsline {subsection}{\numberline {3.6.2}\textcolor {Chapter }{IdentifierOfMainTable}}{64}{subsection.3.6.2}%
\contentsline {subsection}{\numberline {3.6.3}\textcolor {Chapter }{IdentifiersOfDuplicateTables}}{64}{subsection.3.6.3}%
\contentsline {section}{\numberline {3.7}\textcolor {Chapter }{Attributes for Library Character Tables}}{65}{section.3.7}%
\contentsline {subsection}{\numberline {3.7.1}\textcolor {Chapter }{Maxes}}{65}{subsection.3.7.1}%
\contentsline {subsection}{\numberline {3.7.2}\textcolor {Chapter }{ProjectivesInfo}}{65}{subsection.3.7.2}%
\contentsline {subsection}{\numberline {3.7.3}\textcolor {Chapter }{ExtensionInfoCharacterTable}}{66}{subsection.3.7.3}%
\contentsline {subsection}{\numberline {3.7.4}\textcolor {Chapter }{ConstructionInfoCharacterTable}}{66}{subsection.3.7.4}%
\contentsline {subsection}{\numberline {3.7.5}\textcolor {Chapter }{InfoText}}{66}{subsection.3.7.5}%
\contentsline {chapter}{\numberline {4}\textcolor {Chapter }{Contents of the \textsf {GAP} Character Table Library}}{67}{chapter.4}%
\contentsline {section}{\numberline {4.1}\textcolor {Chapter }{Ordinary and Brauer Tables in the \textsf {GAP} Character Table Library }}{67}{section.4.1}%
\contentsline {subsection}{\numberline {4.1.1}\textcolor {Chapter }{Ordinary Character Tables}}{68}{subsection.4.1.1}%
\contentsline {subsection}{\numberline {4.1.2}\textcolor {Chapter }{Brauer Tables}}{69}{subsection.4.1.2}%
\contentsline {section}{\numberline {4.2}\textcolor {Chapter }{Generic Character Tables}}{69}{section.4.2}%
\contentsline {subsection}{\numberline {4.2.1}\textcolor {Chapter }{Available generic character tables}}{70}{subsection.4.2.1}%
\contentsline {subsection}{\numberline {4.2.2}\textcolor {Chapter }{CharacterTableSpecialized}}{71}{subsection.4.2.2}%
\contentsline {subsection}{\numberline {4.2.3}\textcolor {Chapter }{Components of generic character tables}}{72}{subsection.4.2.3}%
\contentsline {subsection}{\numberline {4.2.4}\textcolor {Chapter }{Example: The generic table of cyclic groups}}{73}{subsection.4.2.4}%
\contentsline {subsection}{\numberline {4.2.5}\textcolor {Chapter }{Example: The generic table of the general linear group GL$(2,q)$ }}{74}{subsection.4.2.5}%
\contentsline {section}{\numberline {4.3}\textcolor {Chapter }{\textsf {Atlas} Tables}}{75}{section.4.3}%
\contentsline {subsection}{\numberline {4.3.1}\textcolor {Chapter }{Improvements to the \textsf {Atlas}}}{75}{subsection.4.3.1}%
\contentsline {subsection}{\numberline {4.3.2}\textcolor {Chapter }{Power Maps}}{76}{subsection.4.3.2}%
\contentsline {subsection}{\numberline {4.3.3}\textcolor {Chapter }{Projective Characters and Projections}}{76}{subsection.4.3.3}%
\contentsline {subsection}{\numberline {4.3.4}\textcolor {Chapter }{Tables of Isoclinic Groups}}{76}{subsection.4.3.4}%
\contentsline {subsection}{\numberline {4.3.5}\textcolor {Chapter }{Ordering of Characters and Classes}}{76}{subsection.4.3.5}%
\contentsline {subsection}{\numberline {4.3.6}\textcolor {Chapter }{AtlasLabelsOfIrreducibles}}{77}{subsection.4.3.6}%
\contentsline {subsection}{\numberline {4.3.7}\textcolor {Chapter }{Examples of the \textsf {Atlas} Format for \textsf {GAP} Tables}}{78}{subsection.4.3.7}%
\contentsline {section}{\numberline {4.4}\textcolor {Chapter }{\textsf {CAS} Tables}}{83}{section.4.4}%
\contentsline {subsection}{\numberline {4.4.1}\textcolor {Chapter }{CASInfo}}{83}{subsection.4.4.1}%
\contentsline {section}{\numberline {4.5}\textcolor {Chapter }{Customizations of the \textsf {GAP} Character Table Library}}{84}{section.4.5}%
\contentsline {subsection}{\numberline {4.5.1}\textcolor {Chapter }{Installing the \textsf {GAP} Character Table Library}}{84}{subsection.4.5.1}%
\contentsline {subsection}{\numberline {4.5.2}\textcolor {Chapter }{Unloading Character Table Data}}{84}{subsection.4.5.2}%
\contentsline {subsection}{\numberline {4.5.3}\textcolor {Chapter }{Changing the display format of several functions}}{84}{subsection.4.5.3}%
\contentsline {subsection}{\numberline {4.5.4}\textcolor {Chapter }{The path for calling \textsf {MAGMA}}}{84}{subsection.4.5.4}%
\contentsline {section}{\numberline {4.6}\textcolor {Chapter }{Technicalities of the Access to Character Tables from the Library }}{85}{section.4.6}%
\contentsline {subsection}{\numberline {4.6.1}\textcolor {Chapter }{Data Files of the \textsf {GAP} Character Table Library}}{85}{subsection.4.6.1}%
\contentsline {subsection}{\numberline {4.6.2}\textcolor {Chapter }{LIBLIST}}{86}{subsection.4.6.2}%
\contentsline {subsection}{\numberline {4.6.3}\textcolor {Chapter }{LibInfoCharacterTable}}{87}{subsection.4.6.3}%
\contentsline {section}{\numberline {4.7}\textcolor {Chapter }{How to Extend the \textsf {GAP} Character Table Library}}{87}{section.4.7}%
\contentsline {subsection}{\numberline {4.7.1}\textcolor {Chapter }{NotifyNameOfCharacterTable}}{88}{subsection.4.7.1}%
\contentsline {subsection}{\numberline {4.7.2}\textcolor {Chapter }{LibraryFusion}}{88}{subsection.4.7.2}%
\contentsline {subsection}{\numberline {4.7.3}\textcolor {Chapter }{LibraryFusionTblToTom}}{89}{subsection.4.7.3}%
\contentsline {subsection}{\numberline {4.7.4}\textcolor {Chapter }{PrintToLib}}{90}{subsection.4.7.4}%
\contentsline {subsection}{\numberline {4.7.5}\textcolor {Chapter }{NotifyCharacterTable}}{91}{subsection.4.7.5}%
\contentsline {subsection}{\numberline {4.7.6}\textcolor {Chapter }{NotifyCharacterTables}}{92}{subsection.4.7.6}%
\contentsline {section}{\numberline {4.8}\textcolor {Chapter }{Sanity Checks for the \textsf {GAP} Character Table Library}}{92}{section.4.8}%
\contentsline {section}{\numberline {4.9}\textcolor {Chapter }{Maintenance of the \textsf {GAP} Character Table Library}}{95}{section.4.9}%
\contentsline {chapter}{\numberline {5}\textcolor {Chapter }{Functions for Character Table Constructions}}{96}{chapter.5}%
\contentsline {section}{\numberline {5.1}\textcolor {Chapter }{Character Tables of Groups of Structure $M.G.A$}}{96}{section.5.1}%
\contentsline {subsection}{\numberline {5.1.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeMGA}}{96}{subsection.5.1.1}%
\contentsline {subsection}{\numberline {5.1.2}\textcolor {Chapter }{BrauerTableOfTypeMGA}}{97}{subsection.5.1.2}%
\contentsline {subsection}{\numberline {5.1.3}\textcolor {Chapter }{PossibleActionsForTypeMGA}}{97}{subsection.5.1.3}%
\contentsline {section}{\numberline {5.2}\textcolor {Chapter }{Character Tables of Groups of Structure $G.S_3$}}{98}{section.5.2}%
\contentsline {subsection}{\numberline {5.2.1}\textcolor {Chapter }{CharacterTableOfTypeGS3}}{98}{subsection.5.2.1}%
\contentsline {subsection}{\numberline {5.2.2}\textcolor {Chapter }{PossibleActionsForTypeGS3}}{98}{subsection.5.2.2}%
\contentsline {section}{\numberline {5.3}\textcolor {Chapter }{Character Tables of Groups of Structure $G.2^2$}}{99}{section.5.3}%
\contentsline {subsection}{\numberline {5.3.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeGV4}}{99}{subsection.5.3.1}%
\contentsline {subsection}{\numberline {5.3.2}\textcolor {Chapter }{PossibleActionsForTypeGV4}}{99}{subsection.5.3.2}%
\contentsline {section}{\numberline {5.4}\textcolor {Chapter }{Character Tables of Groups of Structure $2^2.G$}}{100}{section.5.4}%
\contentsline {subsection}{\numberline {5.4.1}\textcolor {Chapter }{PossibleCharacterTablesOfTypeV4G}}{100}{subsection.5.4.1}%
\contentsline {subsection}{\numberline {5.4.2}\textcolor {Chapter }{BrauerTableOfTypeV4G}}{100}{subsection.5.4.2}%
\contentsline {section}{\numberline {5.5}\textcolor {Chapter }{Character Tables of Subdirect Products of Index Two}}{101}{section.5.5}%
\contentsline {subsection}{\numberline {5.5.1}\textcolor {Chapter }{CharacterTableOfIndexTwoSubdirectProduct}}{101}{subsection.5.5.1}%
\contentsline {subsection}{\numberline {5.5.2}\textcolor {Chapter }{ConstructIndexTwoSubdirectProduct}}{101}{subsection.5.5.2}%
\contentsline {subsection}{\numberline {5.5.3}\textcolor {Chapter }{ConstructIndexTwoSubdirectProductInfo}}{102}{subsection.5.5.3}%
\contentsline {section}{\numberline {5.6}\textcolor {Chapter }{Brauer Tables of Extensions by $p$-regular Automorphisms }}{102}{section.5.6}%
\contentsline {subsection}{\numberline {5.6.1}\textcolor {Chapter }{IBrOfExtensionBySingularAutomorphism}}{102}{subsection.5.6.1}%
\contentsline {section}{\numberline {5.7}\textcolor {Chapter }{Character Tables of Coprime Central Extensions}}{103}{section.5.7}%
\contentsline {subsection}{\numberline {5.7.1}\textcolor {Chapter }{CharacterTableOfCommonCentralExtension}}{103}{subsection.5.7.1}%
\contentsline {section}{\numberline {5.8}\textcolor {Chapter }{Construction Functions used in the Character Table Library}}{103}{section.5.8}%
\contentsline {subsection}{\numberline {5.8.1}\textcolor {Chapter }{ConstructMGA}}{104}{subsection.5.8.1}%
\contentsline {subsection}{\numberline {5.8.2}\textcolor {Chapter }{ConstructMGAInfo}}{104}{subsection.5.8.2}%
\contentsline {subsection}{\numberline {5.8.3}\textcolor {Chapter }{ConstructGS3}}{104}{subsection.5.8.3}%
\contentsline {subsection}{\numberline {5.8.4}\textcolor {Chapter }{ConstructV4G}}{104}{subsection.5.8.4}%
\contentsline {subsection}{\numberline {5.8.5}\textcolor {Chapter }{ConstructProj}}{105}{subsection.5.8.5}%
\contentsline {subsection}{\numberline {5.8.6}\textcolor {Chapter }{ConstructDirectProduct}}{105}{subsection.5.8.6}%
\contentsline {subsection}{\numberline {5.8.7}\textcolor {Chapter }{ConstructCentralProduct}}{105}{subsection.5.8.7}%
\contentsline {subsection}{\numberline {5.8.8}\textcolor {Chapter }{ConstructSubdirect}}{106}{subsection.5.8.8}%
\contentsline {subsection}{\numberline {5.8.9}\textcolor {Chapter }{ConstructWreathSymmetric}}{106}{subsection.5.8.9}%
\contentsline {subsection}{\numberline {5.8.10}\textcolor {Chapter }{ConstructIsoclinic}}{106}{subsection.5.8.10}%
\contentsline {subsection}{\numberline {5.8.11}\textcolor {Chapter }{ConstructPermuted}}{106}{subsection.5.8.11}%
\contentsline {subsection}{\numberline {5.8.12}\textcolor {Chapter }{ConstructAdjusted}}{107}{subsection.5.8.12}%
\contentsline {subsection}{\numberline {5.8.13}\textcolor {Chapter }{ConstructFactor}}{107}{subsection.5.8.13}%
\contentsline {chapter}{\numberline {6}\textcolor {Chapter }{Interfaces to Other Data Formats for Character Tables}}{108}{chapter.6}%
\contentsline {section}{\numberline {6.1}\textcolor {Chapter }{Interface to the \textsf {CAS} System}}{108}{section.6.1}%
\contentsline {subsection}{\numberline {6.1.1}\textcolor {Chapter }{CASString}}{108}{subsection.6.1.1}%
\contentsline {section}{\numberline {6.2}\textcolor {Chapter }{Interface to the \textsf {MOC} System}}{109}{section.6.2}%
\contentsline {subsection}{\numberline {6.2.1}\textcolor {Chapter }{MAKElb11}}{110}{subsection.6.2.1}%
\contentsline {subsection}{\numberline {6.2.2}\textcolor {Chapter }{MOCTable}}{110}{subsection.6.2.2}%
\contentsline {subsection}{\numberline {6.2.3}\textcolor {Chapter }{MOCString}}{112}{subsection.6.2.3}%
\contentsline {subsection}{\numberline {6.2.4}\textcolor {Chapter }{ScanMOC}}{113}{subsection.6.2.4}%
\contentsline {subsection}{\numberline {6.2.5}\textcolor {Chapter }{GAPChars}}{113}{subsection.6.2.5}%
\contentsline {subsection}{\numberline {6.2.6}\textcolor {Chapter }{MOCChars}}{113}{subsection.6.2.6}%
\contentsline {section}{\numberline {6.3}\textcolor {Chapter }{Interface to \textsf {GAP}{\nobreakspace }3}}{113}{section.6.3}%
\contentsline {subsection}{\numberline {6.3.1}\textcolor {Chapter }{GAP3CharacterTableScan}}{114}{subsection.6.3.1}%
\contentsline {subsection}{\numberline {6.3.2}\textcolor {Chapter }{GAP3CharacterTableString}}{114}{subsection.6.3.2}%
\contentsline {subsection}{\numberline {6.3.3}\textcolor {Chapter }{GAP3CharacterTableData}}{114}{subsection.6.3.3}%
\contentsline {section}{\numberline {6.4}\textcolor {Chapter }{Interface to the Cambridge Format}}{115}{section.6.4}%
\contentsline {subsection}{\numberline {6.4.1}\textcolor {Chapter }{CambridgeMaps}}{115}{subsection.6.4.1}%
\contentsline {subsection}{\numberline {6.4.2}\textcolor {Chapter }{StringOfCambridgeFormat}}{116}{subsection.6.4.2}%
\contentsline {section}{\numberline {6.5}\textcolor {Chapter }{Interface to the \textsf {MAGMA} System}}{117}{section.6.5}%
\contentsline {subsection}{\numberline {6.5.1}\textcolor {Chapter }{BosmaBase}}{118}{subsection.6.5.1}%
\contentsline {subsection}{\numberline {6.5.2}\textcolor {Chapter }{GAPTableOfMagmaFile (for a file)}}{118}{subsection.6.5.2}%
\contentsline {subsection}{\numberline {6.5.3}\textcolor {Chapter }{CharacterTableComputedByMagma}}{121}{subsection.6.5.3}%
\contentsline {chapter}{\numberline {7}\textcolor {Chapter }{Utility Functions Provided by the \textsf {CTblLib} Package}}{122}{chapter.7}%
\contentsline {section}{\numberline {7.1}\textcolor {Chapter }{Write Character Values in Terms of Atomic \textsf {Atlas} Irrationalities}}{122}{section.7.1}%
\contentsline {subsection}{\numberline {7.1.1}\textcolor {Chapter }{CTblLib.StringOfAtlasIrrationality}}{122}{subsection.7.1.1}%
\contentsline {section}{\numberline {7.2}\textcolor {Chapter }{Create a String that Describes the Group Structure}}{123}{section.7.2}%
\contentsline {subsection}{\numberline {7.2.1}\textcolor {Chapter }{StructureDescriptionCharacterTableName}}{123}{subsection.7.2.1}%
\contentsline {chapter}{References}{126}{chapter*.3}%
\contentsline {chapter}{Index}{127}{section*.4}%
