Chapter 2.1 The 7 frieze groups

Subperiodic groups

Second Online Edition (2010)

Part 2. The 7 frieze groups

Published Online: 1 JUN 2010

DOI: 10.1107/97809553602060000784

International Tables for Crystallography

International Tables for Crystallography

How to Cite

2010. The 7 frieze groups. International Tables for Crystallography. E:2:2.1:31–38.

Publication History

  1. Published Online: 1 JUN 2010



Diagrams and data for the frieze 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 non‐isotypic subgroups; the maximal isotypic subgroups of lowest index; and the minimal non‐isotypic supergroups.


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