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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 106.

  • 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 2.1.6 (19/10/2022) by R. A. Wilson, R. A. Parker, S. Nickerson, J. N. Bray, T. Breuer.
    A GAP Interface to the Atlas of Group Representations
  • CrystCat 1.1.10 (29/07/2022) by V. Felsch, F. Gähler.
    The crystallographic groups catalog
  • CTblLib 1.3.4 (26/04/2022) by T. Breuer.
    The GAP Character Table Library
  • IRREDSOL 1.4.4 (16/11/2022) by B. Höfling.
    A library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
  • PrimGrp 3.4.3 (10/12/2022) by A. Hulpke, O. 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 2.3 (04/11/2022) by M. Vaughan-Lee, B. Eick.
    Database of groups of prime-power order for some prime-powers
  • SmallGrp 1.5.1 (04/11/2022) by H. U. Besche, B. Eick, E. O’Brien, M. Horn.
    The GAP Small Groups Library
  • Smallsemi 0.6.13 (28/02/2022) 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 3.6.3 (19/07/2022) by A. Hulpke.
    Transitive Groups Library
  • UnitLib 4.1.0 (26/04/2022) by O. Konovalov, O. Yakimenko.
    Library of normalized unit groups of modular group algebras