\letter A `AddHashEntry', 10 \letter B `BaseOfGroup', 20 `BasePointOfSchreierTransversal', 17 \letter C `CanonicalElt', 14 `ChainHomomorphicImage', 20 `ChainStatistics', 20 `ChainSubgroup', 19 `ChainSubgroupByDirectProduct', 21 `ChainSubgroupByHomomorphism', 21 `ChainSubgroupByProjectionFunction', 21 `ChainSubgroupByPSubgroupOfAbelian', 21 `ChainSubgroupBySiftFunction', 21 `ChainSubgroupByStabiliser', 20 `ChainSubgroupByTrivialSubgroup', 21 `ChainSubgroupQuotient', 21 `ChangedBaseGroup', 20 `CompleteSchreierTransversal', 17 Creating hom cosets and quotient groups, \indexit{14} \letter D `DenseHashTable', 11 Dense hash tables, \indexit{11} `DenseIntKey', 11 Dictionaries, \indexit{9} `DictionaryByPosition', 10 Direct product chain subgroups, \indexit{21} `DoubleHashArraySize', 11 \letter E `ExtendedGroup', 20 `ExtendSchreierTransversal', 17 `ExtendSchreierTransversalShortCube', 17 `ExtendSchreierTransversalShortTree', 17 \letter F Fast access to last hash index, \indexit{12} \letter G General hash table definitions and operations, \indexit{10} General Hash Tables, \indexit{10} General operations on transversals, \indexit{16} `GeneratingSetIsComplete', 19 `GetHashEntry', 10 `GetHashEntryAtLastIndex', 12 `GetHashEntryIndex', 11 \letter H `HasChainHomomorphicImage', 20 `HashFunct', 11 `HashKeyEnumerator', 10 Hash keys, \indexit{11} `HomCoset', 14 Hom coset chain subgroups, \indexit{21} `HomCosetWithImage', 14 `Homomorphism', for quotient groups by homomorphisms, 14 \sub for subgroup transversals, 17 `HomTransversal', 17 \letter I `ImageElt', 14 `ImageGroup', 18 `ImagesSource', 15 `Injection', 18 `IsChainTypeGroup', 19 `IsDictionary', 9 `IsHash', 10 `IsHomCoset', 13 `IsHomCosetOfAdditiveElt', 14 `IsHomCosetOfFp', 14 `IsHomCosetOfMatrix', 14 `IsHomCosetOfPerm', 14 `IsHomCosetOfTuple', 14 `IsHomCosetToAdditiveElt', 13 `IsHomCosetToAdditiveEltRep', 13 `IsHomCosetToFp', 13 `IsHomCosetToFpRep', 13 `IsHomCosetToMatrix', 13 `IsHomCosetToMatrixRep', 13 `IsHomCosetToObjectRep', 13 `IsHomCosetToPerm', 13 `IsHomCosetToPermRep', 13 `IsHomCosetToTuple', 13 `IsHomCosetToTupleRep', 13 `IsInChain', 19 `IsLookupDictionary', 9 \letter K `KnowsDictionary', 9 \letter L `LookupDictionary', 9 \letter M `MakeHomChain', 21 \letter N `NewDictionary', 9 \letter O `One', 17 Operations on hom cosets, \indexit{14} `OrbitGenerators', 16 `OrbitGeneratorsInv', 17 `OrbitGeneratorsOfGroup', 20 \letter P `PreferredGenerators', 17 `PrintHashWithNames', 10 `Projection', 18 \letter Q `QuotientGroup', 18 `QuotientGroupByChainHomomorphicImage', 21 `QuotientGroupByHomomorphism', 14 `QuotientGroupByImages', 14 `QuotientGroupByImagesNC', 14 `QuotientGroupHom', 14 \letter R `RandomHashKey', 10 `RandomSchreierSims', 20 `Range', 15 \letter S `SchreierTransversal', 16 `SchreierTreeDepth', 17 `SetHashEntry', 12 `SetHashEntryAtLastIndex', 12 `Sift', for chains of subgroups, 19 `SiftOneLevel', for chains of subgroups, 19 \sub for subgroup transversals, 16 `SizeOfChainOfGroup', 20 `Source', 15 `SourceElt', 14 `SparseHashTable', 11 Sparse hash tables, \indexit{11} `SparseIntKey', 11 Stabiliser chain subgroups, \indexit{20} `StrongGens', 20 \letter T `TableHasIntKeyFun', 11 `Transversal', 19 `TransversalBySiftFunction', 18 `TransversalByTrivial', 18 `TransversalElt', 16 `TransversalOfChainSubgroup', 20 Transversals by direct products, \indexit{18} Transversals by homomorphic images, \indexit{17} Transversals by Schreier tree, \indexit{16} Transversals by sift functions, \indexit{18} Transversals by Trivial subgroups, \indexit{18} Trivial chain subgroups and sift function chain subgroups, \indexit{21}