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Data Libraries

GAP contains several data libraries. Some of these are parts of the core GAP system, while some others are technically GAP packages and must be loaded using the LoadPackage mechanism.

Data libraries which are parts of the core GAP system:

  • Basic Groups
    Cyclic, abelian, dihedral, extraspecial, alternating, symmetric, Mathieu, Suzuki, and Ree groups.
  • Classical Groups
    Linear, unitary, symplectic, and orthogonal groups.
  • Perfect Groups   by D. Holt, W. Plesken, and V. Felsch
    Almost all perfect groups of order up to 10 6.
  • Integral Matrix Groups   by W. Plesken, B. Souvignier, G. Nebe, and V. Felsch.
    Irreducible maximal finite integral matrix groups of dimension up to 31.
  • Lie Algebras
    Free, Full Linear, and Simple Lie Algebras.

Data libraries which are GAP packages:

  • AClib  1.3.2 (28/01/2020) by K. Dekimpe, B. Eick
    Almost Crystallographic Groups - A Library and Algorithms
  • AtlasRep  2.1.0 (10/05/2019) by R. A. Wilson, R. A. Parker, S. Nickerson, J. N. Bray, T. Breuer
    A GAP Interface to the Atlas of Group Representations
  • CrystCat  1.1.9 (28/05/2019) by V. Felsch, F. Gähler
    The crystallographic groups catalog
  • CTblLib  1.3.1 (08/04/2020) by T. Breuer
    The GAP Character Table Library
  • IRREDSOL  1.4.1 (10/03/2020) by B. Höfling
    A library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
  • PrimGrp  3.4.1 (05/05/2020) by A. Hulpke, A. Konovalov, C. M. Roney-Dougal, C. Russell
    GAP Primitive Permutation Groups Library (including irreducible solvable subgroups of GL(n,q) for qn up to 243, calculated by M. Short)
  • SglPPow  2.1 (08/03/2018) by M. Vaughan-Lee, B. Eick
    Database of groups of prime-power order for some prime-powers
  • SmallGrp  1.4.2 (18/12/2020) by H. U. Besche, B. Eick, E. O'Brien, The GAP Team
    The GAP Small Groups Library
  • Smallsemi  0.6.12 (16/08/2019) by A. Distler, J. Mitchell
    A library of small semigroups
  • TomLib  1.2.9 (23/10/2019) by T. Merkwitz, L. Naughton, G. Pfeiffer
    The GAP Library of Tables of Marks
  • TransGrp  3.0 (01/08/2020) by A. Hulpke
    Transitive Groups Library
  • UnitLib  4.0.0 (01/05/2018) by A. Konovalov, E. Yakimenko
    Library of normalized unit groups of modular group algebras