Chapter 6.1 The 17 plane groups (two‐dimensional space groups)

Space‐group symmetry

First Online Edition (2006)

Part 6. The 17 plane groups (two‐dimensional space groups)

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000512

International Tables for Crystallography

International Tables for Crystallography

How to Cite

2006. The 17 plane groups (two‐dimensional space groups). International Tables for Crystallography. A:6:6.1:92–109.

Publication History

  1. Published Online: 1 JAN 2006



Diagrams and data for the two‐dimensional plane 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 maximal non‐isomorphic subgroups; the maximal isomorphic subgroups of lowest index; and the minimal non‐isomorphic supergroups.


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