\letter A
  `AbsolutelyIrreducibleSolubleMatrixGroup', 6
  `AllIrredSolMatGroups', 7
  `AllIrreducibleSolubleMatrixGroups', 7
  `AllIrreducibleSolvableMatrixGroups', 7
  `AllPrimitivePcGroups', 18
  `AllPrimitiveSolublePermGroups', 19
  `AllPrimitiveSolublePermutationGroups', 21
  `AllPrimitiveSolvablePermGroups', 19
  `AllPrimitiveSolvablePermutationGroups', 21
  attributes, basic, for matrix groups, 13
\letter C
  `Characteristic', for matrix groups, 13
  `CharacteristicOfField', 13
  compatibility, with other data libraries, 11
  `ConjugatingMatTraceField', 16
  copyright, 3
\letter D
  `DefaultFieldOfMatrixGroup', 13
  `Degree', for matrix groups, 13
  `DegreeOfMatrixGroup', 13
  `Dimension', for matrix groups, 13
  `DimensionOfMatrixGroup', 13
\letter F
  `FieldOfMatrixGroup', 13
  find, matrix group, 7
    \sub primitive pc group, 18
    \sub primitive permutation group, 19
\letter G
  group, primitive soluble, 17
\letter I
  `IdAbsolutelyIrreducibleSolubleMatrixGroup', 11
  `IdAbsolutelyIrreducibleSolvableMatrixGroup', 11
  identification, of matrix groups, 10
    \sub of primitive pc group, 20
    \sub of primitive permutation group, 20
  `IdIrreducibleSolubleMatrixGroup', 10
  `IdIrreducibleSolubleMatrixGroupIndexMS', 11
  `IdIrreducibleSolvableMatrixGroup', 10
  `IdPrimitiveSolubleGroup', 20
  `IdPrimitiveSolubleGroupNC', 20
  `IdPrimitiveSolvableGroup', 20
  `IdPrimitiveSolvableGroupNC', 20
  `ImprimitivitySystems', 15
  `IndexMSIdIrreducibleSolubleMatrixGroup', 12
  `IndicesAbsolutelyIrreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroups', 6
  `Indices\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Groups', 6
  `Indices\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Groups', 6
  `IndicesMaximalAbsolutelyIrreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroups', 6
  `IndicesMaximalAbsolutelyIrreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroups', 6
  IRREDSOL, 4
    \sub accessing low level data, 6
    \sub database design, 5
  irreducibility, of matrix group, 14
  `IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolubleGroup', 18
  `IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolvableGroupNC', 18
  `Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup', 6
  `Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup', 6
  `IsAbsolutelyIrreducible', 14
  `IsAbsolutelyIrreducibleMatrixGroup', 14
  `IsAvailableAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData', 6
  `IsAvailableAbsolutelyIrreducibleolvable\discretionary {\char 92}{}{}GroupData', 6
  `IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Absolutely\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup', 10
  `IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Absolutely\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup', 10
  `IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup', 10
  `IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup', 10
  `IsAvailableIrreducibleSoluble\discretionary {\char 92}{}{}GroupData', 6
  `IsAvailableIrreducibleSolvable\discretionary {\char 92}{}{}GroupData', 6
  `IsIrreducible', for matrix groups, 14
  `IsIrreducibleMatrixGroup', 14
  `IsLinearlyPrimitive', 15
  `IsMaximalAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup', 14
  `IsMaximalAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup', 14
  `IsPrimitive', for matrix groups, 15
  `IsPrimitiveMatrixGroup', 15
  `IteratorIrredSolMatGroups', 8
  `IteratorIrreducibleSolubleMatrixGroups', 8
  `IteratorIrreducibleSolvableMatrixGroups', 8
  `IteratorPrimitivePcGroups', 19
  `IteratorPrimitivePermGroups', 20
  `IteratorPrimitivePermutationGroups', 21
\letter L
  `LoadAbsoIrredSolGroupData', 9
  `LoadAbsolutelyIrreducibleSolubleGroupData', 9
  `LoadAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Fingerprints', 12
  `LoadAbsolutelyIrreducibleSolvableGroupData', 9
  `LoadedAbsoIrredSolGroupData', 9
  `LoadedAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData', 9
  `LoadedAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Fingerprints', 12
  `LoadedAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData', 9
  loading, of group data, 9
    \sub of recognition data, 12
\letter M
  matrix group, basic attributes, 13
    \sub conjugating into smaller fieldss, 16
    \sub irreducibility, 14
    \sub maximality, 14
    \sub primitivity, 14
    \sub with given properties, 7
  maximality, of matrix group, 14
  `MinimalBlockDimension', for matrix groups, 14
  `MinimalBlockDimensionOfMatrixGroup', 14
\letter O
  obsolete functions, for primitive soluble permutation groups, 21
  `OneIrredSolMatGroup', 8
  `OneIrreducibleSolubleMatrixGroup', 8
  `OneIrreducibleSolvableMatrixGroup', 8
  `OnePrimitivePcGroup', 18
  `OnePrimitiveSolublePermGroup', 19
  `OnePrimitiveSolublePermutationGroup', 21
  `OnePrimitiveSolvablePermGroup', 19
  `OnePrimitiveSolvablePermutationGroup', 21
\letter P
  permutation group, primitive soluble, 17
  primitive pc group, identification, 20
    \sub recognition, 20
    \sub with given properties, 18
  primitive permutation group, identification, 20
    \sub recognition, 20
    \sub with given properties, 19
  primitive soluble groups, 17
  `PrimitivePcGroup', 17
  `PrimitivePcGroupIrreducibleMatrixGroup', 17
  `PrimitivePcGroupIrreducibleMatrixGroupNC', 17
  `PrimitivePermGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroup', 18
  `PrimitivePermGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroupNC', 18
  `PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroup', 21
  `PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroupNC', 21
  `PrimitiveSolublePermGroup', 17
  `PrimitiveSolublePermutationGroup', 21
  `PrimitiveSolvablePermGroup', 17
  `PrimitiveSolvablePermutationGroup', 21
  primitivity, of matrix group, 14
\letter R
  recognition, of matrix groups, 10
    \sub of primitive pc group, 20
    \sub of primitive permutation group, 20
  `RecognitionAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup', 11
  `RecognitionAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Group\discretionary {\char 92}{}{}NC', 11
  `RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Group\discretionary {\char 92}{}{}NC', 11
  `RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup', 11
  `RecognitionIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup', 10
  `RecognitionIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroupNC', 10
  `RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup', 10
  `RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroupNC', 10
  `RecognitionPrimitiveSolubleGroup', 20
  `RecognitionPrimitiveSolvableGroup', 20
  `RepresentationIsomorphism', 13
\letter S
  soluble primitive groups, 17
  `SplittingField', 13
  structure of IRREDSOL, 4
\letter T
  `TraceField', 16
\letter U
  `UnloadAbsoIrredSolGroupData', 9
  `UnloadAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData', 9
  `UnloadAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Finger\discretionary {\char 92}{}{}prints', 12
  `UnloadAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData', 9
  unloading, of group data, 9
    \sub of recognition data, 12
\letter W
  workspace, running out of, 9, 12
