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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