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 (11/03/2018) by K. Dekimpe, B. Eick
  Almost Crystallographic Groups - A Library and Algorithms
   
• AtlasRep  1.5.1 (30/03/2016) by R. A. Wilson, R. A. Parker, S. Nickerson, J. N. Bray, T. Breuer
  A GAP Interface to the Atlas of Group Representations
   
• CrystCat  1.1.8 (09/02/2018) by V. Felsch, F. Gähler
  The crystallographic groups catalog
   
• CTblLib  1.2.2 (07/03/2013) by T. Breuer
  The GAP Character Table Library
   
• IRREDSOL  1.4 (03/08/2017) by B. Höfling
  A library of irreducible soluble linear groups over finite fields and of finite primivite soluble groups
   
• PrimGrp  3.3.1 (17/02/2018) 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  1.3 (09/04/2018) by B. Eick, H. U. Besche, E. O'Brien
  The GAP Small Groups Library
   
• Smallsemi  0.6.11 (26/04/2017) by A. Distler, J. Mitchell
  A library of small semigroups
   
• TomLib  1.2.6 (07/11/2016) by L. Naughton, G. Pfeiffer
  The GAP Library of Tables of Marks
   
• TransGrp  2.0.2 (13/11/2017) 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