Isomorphism of lattices of subgroups of the layer and rod groups with sublattices of subgroups of the space groups

It is shown that lattices of subgroups of reducible space groups contain copies of lattices of subgroups of layer and rod groups as sublattices.

Euclidean groups in spaces of arbitrary dimensions

Seitz notation for symmetry operations of space groups

Seitz notation is provided for the symmetry-operations subtables of International Tables for Crystallography, Volume A, Space-Group Symmetry.