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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 Libraries

See also the corresponding GAP 4 page.

GAP 3 contains several data libraries. From the following list you can reach an individual page for each of them, giving information about the content of that data library, its author(s), and a pointer to the associated manual section which provides a more explicit documentation.

Further, on that page information on the respective GAP 4 data library and a link to its web page is given.

Note that several of the GAP 3 data libraries have been extended, and further ones have been added in GAP 4.

  • Small Groups   by E. O'Brien, B. Eick, and H. U. Besche
    All groups of size up to 1000 (except 512 and 768).
  • Perfect Groups   by D. Holt and W. Plesken
    Almost all perfect groups of size up to 10^6.
  • Transitive Permutation Groups   by A. Hulpke
    Transitive permutation groups of degree up to 22.
  • Primitive Permutation Groups   by C. Sims
    Primitive permutation groups of degree up to 50.
  • Soluble Primitive Permutation Groups   by M. Short
    Soluble primitive permutation groups of degree up to 243.
  • Irreducible Solvable Matrix Groups   by M. Short
    Irreducible solvable subgroups of GL(V) for |V| up to 243.
  • Integral Matrix Groups   by G. Nebe and W. Plesken
    Irreducible maximal finite integral matrix groups of dimension up to 24.
  • Space Groups   by H. Brown, R. Bülow, J. Neubüser, H. Wondratschek, and H. Zassenhaus
    Crystallographic groups of dimension up to 4.
  • Tables of Marks   by G. Pfeiffer and T. Merkwitz
    Tables of marks for many almost simple groups.
  • Character Tables   by T. Breuer and many other people
    All character tables in the ATLAS and the Modular ATLAS and many further ones.