Chapter 2.5 Graphs for klassengleiche subgroups
Symmetry relations between space groups
First Online Edition (2006)
Part 2. Maximal subgroups of the plane groups and space groups
Published Online: 1 JAN 2006
© International Union of Crystallography 2006
International Tables for Crystallography
How to Cite
Gramlich, V. and Wondratschek, H. 2006. Graphs for klassengleiche subgroups. International Tables for Crystallography. A1:2:2.5:415–425.
- Published Online: 1 JAN 2006
This chapter presents 29 contracted graphs for the maximal klassengleiche subgroups of the space groups of the 32 crystal classes. The graphs for crystal classes 1, and are not included, because in these classes there is only one space-group type and their diagrams would be trivial. Isomorphic subgroups are not indicated, because each space group has an infinite number of them. In case of mutual group–subgroup relations, e.g.– or –, group and subgroup are connected by horizontal arrows which point from the group to the subgroup.
- graphs of group–subgroup relations;
- subgroup graphs;
- klassengleiche subgroups;
- maximal subgroups