\indexentry {IRREDSOL}{3} \indexentry {Design of the group library@Design of the group library|indexit}{4} \indexentry {Low level access functions@Low level access functions|indexit}{5} \indexentry {IsAvailableIrreducibleSolvableGroupData@`IsAvailableIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{5} \indexentry {IndicesIrreducibleSolvableMatrixGroups@`IndicesIrreducibleSolvableMatrixGroups'}{5} \indexentry {IrreducibleSolvableMatrixGroup@`IrreducibleSolvableMatrixGroup'}{5} \indexentry {IsAvailableAbsolutelyIrreducibleSolvableGroupData@`IsAvailableAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{5} \indexentry {IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups@`IndicesMaximalAbsolutelyIrreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroups'}{5} \indexentry {IndicesAbsolutelyIrreducibleSolvableMatrixGroups@`IndicesAbsolutelyIrreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroups'}{5} \indexentry {AbsolutelyIrreducibleSolvableMatrixGroup@`AbsolutelyIrreducibleSolvableMatrixGroup'}{5} \indexentry {Finding matrix groups with given properties@Finding matrix groups with given properties|indexit}{6} \indexentry {AllIrreducibleSolvableMatrixGroups@`AllIrreducibleSolvableMatrixGroups'}{6} \indexentry {OneIrreducibleSolvableMatrixGroup@`OneIrreducibleSolvableMatrixGroup'}{7} \indexentry {IteratorIrreducibleSolvableMatrixGroups@`IteratorIrreducibleSolvableMatrixGroups'}{7} \indexentry {Loading and unloading group data manually@Loading and unloading group data manually|indexit}{7} \indexentry {workspace!running out of}{7} \indexentry {LoadAbsolutelyIrreducibleSolvableGroupData@`LoadAbsolutelyIrreducibleSolvableGroupData'}{7} \indexentry {LoadedAbsolutelyIrreducibleSolvableGroupData@`LoadedAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{7} \indexentry {UnloadAbsolutelydIrreducibleSolvableGroupData@`UnloadAbsolutelydIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{8} \indexentry {Identification of irreducible groups@Identification of irreducible groups|indexit}{9} \indexentry {IsAvailableIdIrreducibleSolvableMatrixGroup@`IsAvailableIdIrreducible\discretionary {\char 92}{}{}SolvableMatrixGroup'}{9} \indexentry {IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup@`IsAvailableIdAbsolutelyIrreducible\discretionary {\char 92}{}{}SolvableMatrixGroup'}{9} \indexentry {IdIrreducibleSolvableMatrixGroup@`IdIrreducibleSolvableMatrixGroup'}{9} \indexentry {RecognitionIrreducibleSolvableMatrixGroup@`RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{9} \indexentry {RecognitionIrreducibleSolvableMatrixGroupNC@`RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroupNC'}{9} \indexentry {IdAbsolutelyIrreducibleSolvableMatrixGroup@`IdAbsolutelyIrreducibleSolvableMatrixGroup'}{10} \indexentry {RecognitionAbsolutelyIrreducibleSolvableMatrixGroup@`RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{10} \indexentry {RecognitionAbsolutelyIrreducibleSolvableMatrixGroupNC@`RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroupNC'}{10} \indexentry {Compatibility with other data libraries@Compatibility with other data libraries|indexit}{10} \indexentry {IdIrreducibleSolvableMatrixGroupIndexMS@`IdIrreducibleSolvableMatrixGroupIndexMS'}{10} \indexentry {IndexMSIdIrreducibleSolvableMatrixGroup@`IndexMSIdIrreducibleSolvableMatrixGroup'}{10} \indexentry {Loading and unloading recognition data manually@Loading and unloading recognition data manually|indexit}{11} \indexentry {workspace!running out of}{11} \indexentry {LoadAbsolutelyIrreducibleSolvableGroupFingerprints@`LoadAbsolutelyIrreducibleSolvableGroup\discretionary {\char 92}{}{}Fingerprints'}{11} \indexentry {LoadedAbsolutelyIrreducibleSolvableGroupFingerprints@`LoadedAbsolutelyIrreducibleSolvableGroup\discretionary {\char 92}{}{}Fingerprints'}{11} \indexentry {UnloadAbsolutelyIrreducibleSolvableGroupFingerprints@`UnloadAbsolutelyIrreducibleSolvableGroup\discretionary {\char 92}{}{}Fingerprints'}{11} \indexentry {Basic attributes for matrix groups@Basic attributes for matrix groups|indexit}{12} \indexentry {DegreeOfMatrixGroup@`DegreeOfMatrixGroup'}{12} \indexentry {Degree@`Degree'!for matrix groups}{12} \indexentry {DimensionOfMatrixGroup@`DimensionOfMatrixGroup'}{12} \indexentry {Dimension@`Dimension'!for matrix groups}{12} \indexentry {FieldOfMatrixGroup@`FieldOfMatrixGroup'}{12} \indexentry {DefaultFieldOfMatrixGroup@`DefaultFieldOfMatrixGroup'}{12} \indexentry {SplittingField@`SplittingField'}{12} \indexentry {CharacteristicOfField@`CharacteristicOfField'}{12} \indexentry {Characteristic@`Characteristic'!for matrix groups}{12} \indexentry {RepresentationIsomorphism@`RepresentationIsomorphism'}{12} \indexentry {Irreducibility and maximality of matrix groups@Irreducibility and maximality of matrix groups|indexit}{13} \indexentry {IsIrreducibleMatrixGroup@`IsIrreducibleMatrixGroup'}{13} \indexentry {IsIrreducibleMatrixGroup@`IsIrreducibleMatrixGroup'}{13} \indexentry {IsIrreducible@`IsIrreducible'!for matrix groups}{13} \indexentry {IsAbsolutelyIrreducibleMatrixGroup@`IsAbsolutelyIrreducibleMatrixGroup'}{13} \indexentry {IsAbsolutelyIrreducible@`IsAbsolutelyIrreducible'}{13} \indexentry {IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup@`IsMaximalAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{13} \indexentry {Primitivity of matrix groups@Primitivity of matrix groups|indexit}{13} \indexentry {MinimalBlockDimensionOfMatrixGroup@`MinimalBlockDimensionOfMatrixGroup'}{13} \indexentry {MinimalBlockDimensionOfMatrixGroup@`MinimalBlockDimensionOfMatrixGroup'}{13} \indexentry {MinimalBlockDimension@`MinimalBlockDimension'!for matrix groups}{13} \indexentry {IsPrimitiveMatrixGroup@`IsPrimitiveMatrixGroup'}{14} \indexentry {IsPrimitiveMatrixGroup@`IsPrimitiveMatrixGroup'}{14} \indexentry {IsPrimitive@`IsPrimitive'!for matrix groups}{14} \indexentry {IsLinearlyPrimitive@`IsLinearlyPrimitive'}{14} \indexentry {ImprimitivitySystems@`ImprimitivitySystems'}{14} \indexentry {Conjugating matrix groups into smaller fields@Conjugating matrix groups into smaller fields|indexit}{15} \indexentry {TraceField@`TraceField'}{15} \indexentry {ConjugatingMatTraceField@`ConjugatingMatTraceField'}{15} \indexentry {Translating between irreducible solvable matrix groups and primitive solvable groups@Translating between irreducible solvable matrix groups and primitive solvable groups|indexit}{16} \indexentry {PrimitivePcGroupIrreducibleMatrixGroup@`PrimitivePcGroupIrreducibleMatrixGroup'}{16} \indexentry {PrimitivePcGroupIrreducibleMatrixGroupNC@`PrimitivePcGroupIrreducibleMatrixGroupNC'}{16} \indexentry {PrimitivePermutationGroupIrreducibleMatrixGroup@`PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroup'}{16} \indexentry {PrimitivePermutationGroupIrreducibleMatrixGroupNC@`PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroupNC'}{16} \indexentry {IrreducibleMatrixGroupPrimitiveSolvableGroup@`IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolvableGroup'}{17} \indexentry {IrreducibleMatrixGroupPrimitiveSolvableGroupNC@`IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolvableGroupNC'}{17} \indexentry {Finding primitive pc groups with given properties@Finding primitive pc groups with given properties|indexit}{17} \indexentry {AllPrimitivePcGroups@`AllPrimitivePcGroups'}{17} \indexentry {OnePrimitivePcGroup@`OnePrimitivePcGroup'}{17} \indexentry {IteratorPrimitivePcGroups@`IteratorPrimitivePcGroups'}{17} \indexentry {Finding primitive solvable permutation groups with given properties@Finding primitive solvable permutation groups with given properties|indexit}{18} \indexentry {AllPrimitiveSolvablePermutationGroups@`AllPrimitiveSolvablePermutationGroups'}{18} \indexentry {OnePrimitiveSolvablePermutationGroup@`OnePrimitiveSolvablePermutationGroup'}{18} \indexentry {IteratorPrimitivePermutationGroups@`IteratorPrimitivePermutationGroups'}{18} \indexentry {Recognizing primitive solvable groups@Recognizing primitive solvable groups|indexit}{19} \indexentry {IdPrimitiveSolvableGroup@`IdPrimitiveSolvableGroup'}{19} \indexentry {IdPrimitiveSolvableGroupNC@`IdPrimitiveSolvableGroupNC'}{19}