Chapter 2.3 Tables of maximal subgroups of the space groups

Symmetry relations between space groups

Second Online Edition (2011)

Part 2. Maximal subgroups of the plane groups and space groups

Published Online: 15 DEC 2011

DOI: 10.1107/97809553602060000799

International Tables for Crystallography

International Tables for Crystallography

How to Cite

2011. Tables of maximal subgroups of the space groups. International Tables for Crystallography. A1:2:2.3:115–432.

Publication History

  1. Published Online: 15 DEC 2011



Subgroup and supergroup data for the three‐dimensional space groups are presented. The data include: the generators selected, the general position, maximal translationengleiche subgroups, maximal klassengleiche subgroups, minimal translationengleiche supergroups and minimal non‐isomorphic klassengleiche supergroups.


  • crystallography;
  • space groups;
  • maximal subgroups;
  • minimal supergroups;
  • maximal translationengleiche subgroups;
  • maximal klassengleiche subgroups;
  • minimal translationengleiche supergroups