International Tables for Crystallography (2016). Vol. A, ch. 3.5, pp. 826-851
https://doi.org/10.1107/97809553602060000933

Chapter 3.5. Normalizers of space groups and their use in crystallography

Chapter index

achiral space groups 3.5.3.2
affine group 3.5.3.4, 3.5.4
affine normalizers 3.5.1.2, 3.5.2.2, 3.5.2.6, 3.5.2.7
matrix–column representation of 3.5.2.2
anomalous dispersion 3.5.3.3, 3.5.3.3
Cheshire groups 3.5.1.2
chirality 3.5.1.2
chirality-preserving Euclidean normalizers 3.5.1.2, 3.5.2.1, 3.5.2.3, 3.5.2.4, 3.5.2.5
chiral space groups 3.5.3.2
circle group 3.5.4.1
conjugate subgroups 3.5.3.4
crystallographic orbit 3.5.3.2
crystallographic point group 3.5.4
eigensymmetry
of a point configuration 3.5.3.2
enantiomorph, selection of 3.5.2.1
enantiomorphic space groups 3.5.1.2
enhanced symmetry of Euclidean normalizers 3.5.2.1, 3.5.2.1
equivalent descriptions of crystal structures 3.5.3.2, 3.5.3.2
equivalent lists of structure factors 3.5.3.3, 3.5.3.1
equivalent point configurations 3.5.3.2
equivalent subgroups 3.5.3.4
equivalent supergroups 3.5.3.4
equivalent Wyckoff positions 3.5.3.2
Euclidean group 3.5.3.4, 3.5.4
Euclidean normalizers 3.5.1.2, 3.5.2.1, 3.5.2.1, 3.5.2.2, 3.5.2.3, 3.5.2.4, 3.5.2.5
chirality-preserving 3.5.1.2, 3.5.2.1, 3.5.2.3, 3.5.2.4, 3.5.2.5
with enhanced symmetry 3.5.2.1, 3.5.2.1
Friedel's rule 3.5.3.3
index of a subgroup 3.5.2.1, 3.5.3.4, 3.5.3.4
isometry group
of the circle 3.5.4.1
of the sphere 3.5.4.2
Miller indices
transformation of 3.5.3.3
noncrystallographic point groups 3.5.4.1, 3.5.4.2
noncrystallographic symmetry 3.5.4.1, 3.5.4.2
normalizers 3.5.1.1, 3.5.1.2
of plane groups 3.5.2.1, 3.5.2.2, 3.5.2.1
of point groups 3.5.4, 3.5.4.1, 3.5.4.2
orbit
crystallographic 3.5.3.2
origin
fixing of 3.5.3.3
origin shift 3.5.2.1
parity classes of structure factors 3.5.3.3
plane groups
normalizers of 3.5.2.1, 3.5.2.2, 3.5.2.1
point configurations 3.5.3.2
eigensymmetry of 3.5.3.2
point groups
crystallographic 3.5.4
noncrystallographic 3.5.4.1
normalizers of 3.5.4, 3.5.4, 3.5.4.1, 3.5.4.2
Sohncke space groups 3.5.3.2
Sohncke space-group types 3.5.1.2
space groups
achiral 3.5.3.2
chiral 3.5.3.2
enantiomorphic 3.5.1.2
Sohncke space groups 3.5.3.2
space-group types
Sohncke space-group types 3.5.1.2
specialized metrics 3.5.2.1, 3.5.2.1
sphere group 3.5.4.2
structure factors
equivalent lists of 3.5.3.3, 3.5.3.1
parity classes of 3.5.3.3
subgroups
affine equivalent 3.5.3.4
conjugate 3.5.3.4
Euclidean equivalent 3.5.3.4
supergroups
affine equivalent 3.5.3.4
Euclidean equivalent 3.5.3.4
symmetry enhancement of Euclidean normalizers 3.5.2.1, 3.5.2.1
symmetry
noncrystallographic 3.5.4.1, 3.5.4.2
symmetry reduction 3.5.3.4
transformation of Miller indices 3.5.3.3
Wyckoff positions
affine equivalent 3.5.3.2
Euclidean equivalent 3.5.3.2
Wyckoff set 3.5.3.2, 3.5.3.2