C introduction.tex 1. Introduction I 1.0. cryst C cryst.tex 2. Affine crystallographic groups F 2.0. SetCrystGroupDefaultAction S 2.1. Construction I 2.1. construction!of an AffineCrystGroup F 2.1. AffineCrystGroupOnRight F 2.1. AffineCrystGroupOnRight F 2.1. AffineCrystGroupOnRight F 2.1. AsAffineCrystGroupOnRight F 2.1. IsAffineCrystGroupOnRight F 2.1. AffineCrystGroupOnLeft F 2.1. AffineCrystGroupOnLeft F 2.1. AffineCrystGroupOnLeft F 2.1. AsAffineCrystGroupOnLeft F 2.1. IsAffineCrystGroupOnLeft F 2.1. AffineCrystGroup F 2.1. AffineCrystGroup F 2.1. AffineCrystGroup F 2.1. AsAffineCrystGroup F 2.1. IsAffineCrystGroup F 2.1. TransposedMatrixGroup S 2.2. Point group I 2.2. point group!of an AffineCrystGroup F 2.2. PointGroup F 2.2. IsPointGroup F 2.2. AffineCrystGroupOfPointGroup F 2.2. PointHomomorphism F 2.2. IsPointHomomorphism S 2.3. Translation lattice I 2.3. translation lattice!of an AffineCrystGroup F 2.3. TranslationBasis F 2.3. InternalBasis F 2.3. AddTranslationBasis F 2.3. CheckTranslationBasis F 2.3. IsSpaceGroup F 2.3. IsStandardAffineCrystGroup F 2.3. IsStandardSpaceGroup F 2.3. StandardAffineCrystGroup F 2.3. IsSymmorphicSpaceGroup S 2.4. Special methods I 2.4. methods!for an AffineCrystGroup I 2.4. \\{\accent 94 }!for an `AffineCrystGroup' F 2.4. power!for an `AffineCrystGroup' F 2.4. IsomorphismFpGroup!for a `PointGroup' F 2.4. IsomorphismFpGroup!for an `AffineCrystGroup' F 2.4. IsomorphismPcpGroup!for a `PointGroup' F 2.4. IsomorphismPcpGroup!for an `AffineCrystGroup' S 2.5. Maximal subgroups I 2.5. subgroups!maximal!for an AffineCrystGroup I 2.5. maximal subgroups!for an AffineCrystGroup F 2.5. MaximalSubgroupClassReps!for an `AffineCrystGroup' F 2.5. ConjugacyClassesMaximalSubgroups!for an `AffineCrystGroup' S 2.6. Space groups with a given point group I 2.6. space groups!for given point group F 2.6. SpaceGroupsByPointGroupOnRight F 2.6. SpaceGroupsByPointGroupOnRight F 2.6. SpaceGroupsByPointGroupOnRight F 2.6. SpaceGroupTypesByPointGroupOnRight F 2.6. SpaceGroupTypesByPointGroupOnRight F 2.6. SpaceGroupsByPointGroupOnLeft F 2.6. SpaceGroupsByPointGroupOnLeft F 2.6. SpaceGroupsByPointGroupOnLeft F 2.6. SpaceGroupTypesByPointGroupOnLeft F 2.6. SpaceGroupTypesByPointGroupOnLeft F 2.6. SpaceGroupsByPointGroup F 2.6. SpaceGroupsByPointGroup F 2.6. SpaceGroupsByPointGroup F 2.6. SpaceGroupTypesByPointGroupOnLeft F 2.6. SpaceGroupTypesByPointGroupOnLeft S 2.7. Wyckoff positions F 2.7. WyckoffPositions F 2.7. WyckoffPositionsByStabilizer F 2.7. IsWyckoffPosition F 2.7. WyckoffBasis F 2.7. WyckoffTranslation F 2.7. WyckoffSpaceGroup F 2.7. WyckoffStabilizer F 2.7. WyckoffOrbit F 2.7. WyckoffGraph F 2.7. WyckoffGraph S 2.8. Normalizers I 2.8. normalizer!of an AffineCrystGroup F 2.8. NormalizerPointGroupInGLnZ F 2.8. CentralizerPointGroupInGLnZ I 2.8. normalizer!in translation group F 2.8. TranslationNormalizer I 2.8. normalizer!in affine group F 2.8. AffineNormalizer F 2.8. AffineInequivalentSubgroups F 2.8. ConjugatorSpaceGroups S 2.9. Color groups F 2.9. ColorGroup F 2.9. IsColorGroup F 2.9. ColorSubgroup F 2.9. ColorCosetList F 2.9. ColorOfElement F 2.9. ColorPermGroup F 2.9. ColorHomomorphism F 2.9. Subgroup!for color groups S 2.10. Colored AffineCrystGroups F 2.10. PointGroup!for a colored `AffineCrystGroup' I 2.10. colorings!inequivalent!for space group S 2.11. International Tables F 2.11. SpaceGroupSettingsIT F 2.11. SpaceGroupOnRightIT F 2.11. SpaceGroupOnRightIT F 2.11. SpaceGroupOnLeftIT F 2.11. SpaceGroupOnLeftIT F 2.11. SpaceGroupIT F 2.11. SpaceGroupIT