Chapter 7.1 The 230 space groups

Space-group symmetry

First Online Edition (2006)

Part 7. The 230 space groups

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000513

International Tables for Crystallography

International Tables for Crystallography

How to Cite

2006. The 230 space groups. International Tables for Crystallography. A:7:7.1:112–717.

Publication History

  1. Published Online: 1 JAN 2006


Diagrams and data for the three-dimensional space groups are presented. The diagrams show the symmetry elements and the general position. The data include: the origin; the asymmetric unit; the symmetry operations; the generators selected; the positions, with multiplicities, site symmetries, coordinates and reflection conditions; the symmetry of special projections; the maximal isomorphic subgroups of lowest index; and the minimal non-isomorphic supergroups.


  • crystallography;
  • space groups;
  • symmetry;
  • asymmetric unit;
  • symmetry operations;
  • reflection conditions;
  • maximal subgroups;
  • minimal supergroups