Chapter 4.3 Symbols for space groups

Space-group symmetry

First Online Edition (2006)

Part 4. Synoptic tables of space-group symbols

  1. E. F. Bertaut

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000509

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Bertaut, E. F. 2006. Symbols for space groups. International Tables for Crystallography. A:4:4.3:62–76.

Author Information

  1. Laboratoire de Cristallographie, CNRS, Grenoble, France

Publication History

  1. Published Online: 1 JAN 2006


Chapters 4.1, 4.2 and 4.3 contain extensive explanations and tabulations of the various types of space-group symbols. Chapter 4.3 contains for each crystal system extensive tables of the short, full and extended space-group symbols for various settings and cells. The explanatory text treats, system by system, the ‘additional symmetry elements’ of the space groups. In addition, many examples of those group–subgroup relations are presented which can be read directly from the extended space-group symbols.


  • symbols;
  • space groups;
  • crystal systems;
  • monoclinic space groups;
  • group–subgroup relations;
  • Schoenflies symbols;
  • Hermann–Mauguin symbols