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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 Share Package "cryst" (CrystGAP)

CrystGAP: Crystallographic groups, space groups, color groups

Share package since release 3.4, about Apr. 1997, communicated by Joachim Neubüser, Aachen.
Corresponding GAP 4 package: GAP 4 package "cryst".


Bettina Eick, Franz Gähler, and Werner Nickel.


Language: GAP 3
Operating system: Any
Current version: (no version number given in the 3.4.4 distribution)


CrystGap is a GAP 3 share package, which allows to perform various computations with crystallographic groups, in particular space groups. Among other things, you can compute the Wyckoff positions and all maximal subgroups for any space group, as well as all space group types for a given point group. CrystGap also provides a fairly complete operations record for crystallographic groups, which allows you to do most of what you could do with other groups in GAP 3 (one has to keep in mind, however, that crystallographic groups are usually not finite, and so certain things are not possible, such as obtaining the list of all elements of a space group and similar things). Finally, CrystGap also provides routines for dealing with color groups, in particular color space groups.


A CrystGAP manual is given in chapter 60 of the GAP 3 manual.

Contact addresses

Bettina Eick
Institut Computational Mathematics
TU Braunschweig
Pockelsstr. 14
D-38106 Braunschweig

Franz Gähler
Fakultät für Mathematik
Universität Bielefeld
D-33615 Bielefeld

Werner Nickel
Fachbereich Mathematik
TU Darmstadt
Schlossgartenstr. 7
D-64289 Darmstadt