  
  
                                     [1X[5XCCTab[105X[101X
  
  
                         [1XConstructing Character Tables[101X
  
  
                                  Version 0.4
  
  
                                  October 2026
  
  
                                  Frank Lübeck
  
  
  
  Frank Lübeck
      Email:    [7Xmailto:Frank.Luebeck@Math.RWTH-Aachen.De[107X
      Homepage: [7Xhttp://www.math.rwth-aachen.de/~Frank.Luebeck[107X
      Address:  [33X[0;14YLehrstuhl   für   Algebra   und   Zahlentheorie   RWTH  Aachen
                Pontdriesch 14/16 52062 Aachen Germany[133X
  
  
  
  -------------------------------------------------------
  [1XCopyright[101X
  [33X[0;0Y© 2026- by Frank Lübeck[133X
  
  [33X[0;0Y[5XCCTab[105X  is  free software; you can redistribute it and/or modify it under the
  terms        of       the       GNU       General       Public       License
  ([7Xhttps://www.fsf.org/licenses/gpl.html[107X)  as  published  by the Free Software
  Foundation;  either  version 2 of the License, or (at your option) any later
  version.[133X
  
  
  -------------------------------------------------------
  
  
  [1XContents (CCTab)[101X
  
  1 [33X[0;0YThe [5XCCTab[105X-Package[133X
    1.1 [33X[0;0YInstallation of the [5XCCTab[105X package[133X
      1.1-1 InfoCCTable
  2 [33X[0;0YThe main functionality of [5XCCTab[105X[133X
  3 [33X[0;0YUtility functions from the [5XCCTab[105X package[133X
    3.1 [33X[0;0YIdentifying conjugacy classes of elements[133X
      3.1-1 PositionConjugacyClass
      3.1-2 ConjugacyClassInvariants
    3.2 [33X[0;0YPower maps and rational classes[133X
      3.2-1 PowerMapsOfAllClasses
      3.2-2 RationalClassSets
      3.2-3 NrRationalClasses
      3.2-4 RationalClassesInfo
      3.2-5 MaximalCyclics
      3.2-6 InduceAllFromCyclicSubgroup
      3.2-7 InducedFromAllMaximalCyclicSubgroups
      3.2-8 PowerMapCharacters
      3.2-9 SmallPowerMapCharacters
      3.2-10 ActionAutomorphismsOnConjugacyClasses
    3.3 [33X[0;0YInduction from elementary subgroups[133X
      3.3-1 MaximalNonCyclicElementarySubgroups
      3.3-2 InducedFromElementary
      3.3-3 FusionElementaryCCTable
      3.3-4 InductionDataFromElementaryCCTable
    3.4 [33X[0;0YSome utilities for integer matrices[133X
      3.4-1 HermiteIntMat
      3.4-2 PermutedFractionFreeIntegerGaussPositiveDefinite
      3.4-3 InverseUnimodularMat
      3.4-4 LLLTransformUnimodularGram
  4 [33X[0;0YComputing character tables with [5XCCTab[105X[133X
    4.1 [33X[0;0YThe [2XIsCCTable[102X ([14X???IsCCTable???[114X) object[133X
      4.1-1 CCTable
      4.1-2 EncodeForCCTable
      4.1-3 ImportToCCTable
      4.1-4 UpdateHNFCCTable
      4.1-5 HasFullRankCCTable
      4.1-6 FindIndexCCTable
      4.1-7 ImportInducedFromAllMaximalCyclicToCCTable
      4.1-8 FindIrreduciblesInFullLattices
      4.1-9 IrrCCTableHNF
      4.1-10 AddVectorToHNF
    4.2 [33X[0;0YScalar products[133X
      4.2-1 CCTScalarProduct
    4.3 [33X[0;0YSplitting by the centre[133X
      4.3-1 SplitByCentre
      4.3-2 SplitCharacterByCentre
    4.4 [33X[0;0YNatural characters[133X
      4.4-1 NaturalCharacters
  
  
  [32X
