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This is a page on GAP 3, which is still available, but no longer supported. The present version is GAP 4  (See  Status of GAP 3).

GAP 3 Data Library "Space Groups"


Crystallographic groups of dimension up to 4.


Harold Brown, Rolf Buelow, Joachim Neubueser, Hans Wondratschek and Hans Zassenhaus.

Author of the GAP implementation

Volkmar Felsch.


H. Brown, R. Bülow, J. Neubüser, H. Wondratschek, and H. Zassenhaus: Crystallographic Groups of Four-Dimensional Space, John Wiley, New York, 1978.

GAP 3 Manual section

A manual of the Crystallographic Groups Library is given as section 37.13 of the GAP 3 manual.

Corresponding GAP 4 data library

GAP 4 Package CrystCat

Contact addresses

Joachim Neubueser
Hans Wondratschek