This chapter contains
Some Notes on Character Theory in GAP, Character Table Records, Brauer Table Records, Operators for Character Tables) and some conventions for their usage (see Conventions for Character Tables),
Getting Character Tables, CharTable; for the contents of the table library, see Chapter Character Table Libraries), matrix representations (see MatRepresentationsPGroup).
the description of some functions which give information about the conjugacy classes of character tables, that is, to compute classlengths (see InitClassesCharTable), inverse classes (see InverseClassesCharTable) and classnames (see ClassNamesCharTable), structure constants (see ClassMultCoeffCharTable, MatClassMultCoeffsCharTable, ClassStructureCharTable), the set of real classes (see RealClassesCharTable), orbits of the Galois group on the classes (see ClassOrbitCharTable) and roots of classes (see ClassRootsCharTable),
the description how character tables or parts of them can be displayed (see DisplayCharTable) and sorted (see SortCharactersCharTable, SortClassesCharTable, SortCharTable).
the description of functions which compute the automorphism group of a matrix (see MatAutomorphisms) or character table (see TableAutomorphisms), or which compute permutations relating permutation equivalent matrices (see TransformingPermutations) or character tables (see TransformingPermutationsCharTables),
the description of functions which get fusions from and store fusions on tables (see GetFusionMap, StoreFusion, FusionConjugacyClasses),
the description of the interface between GAP and the MOC3 system (see MAKElb11, ScanMOC, MOCChars, GAPChars, MOCTable, PrintToMOC ), and of a function which converts GAP tables to CAS tables (see PrintToCAS).
This chapter does not contain information about
functions to construct characters (see Chapter Characters), or Maps and Parametrized Maps).
For some elaborate examples how character tables are handled in GAP, see About Character Tables.