Contains all the data items that refer to the space group as a
whole, such as its name, Laue group etc. It may be looped, for
example, in a list of space groups and their properties.
Space group types are identified by their International Tables
for Crystallography Vol A number or Schoenflies symbol.
Specific settings of the space groups can be identified by
their Hall symbol, by specifying their symmetry operations or
generators, or by giving the transformation that relates the
specific setting to the reference setting based on
International Tables for Crystallography Vol. A and stored in
The commonly-used Hermann-Mauguin symbol determines the
space group type uniquely but several different Hermann-Mauguin
symbols may refer to the same space group type. It contains
information on the choice of the basis, but not on the
choice of origin.