Chapter 12.1 Point-group symbols

Space-group symmetry

First Online Edition (2006)

Part 12. Space-group symbols and their use

  1. H. Burzlaff1,
  2. H. Zimmermann2

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000524

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Burzlaff, H. and Zimmermann, H. 2006. Point-group symbols. International Tables for Crystallography. A:12:12.1:818–820.

Author Information

  1. 1

    Universität Erlangen–Nürnberg, Robert-Koch-Strasse 4a, D-91080 Uttenreuth, Germany

  2. 2

    Institut für Angewandte Physik, Lehrstuhl für Kristallographie und Strukturphysik, Universität Erlangen–Nürnberg, Bismarckstrasse 10, D-91054 Erlangen, Germany

Publication History

  1. Published Online: 1 JAN 2006


The three main kinds of point-group symbols in use today (Schoenflies symbols, Shubnikov symbols and Hermann–Mauguin symbols) are described and listed. International (Hermann–Mauguin) and Shubnikov symbols for symmetry elements and representatives for the lattice symmetry directions in the different crystal families are tabulated.


  • point-group symbols;
  • Schoenflies symbols;
  • Shubnikov symbols;
  • Hermann–Mauguin symbols;
  • symmetry directions;
  • generators;
  • international space-group symbols