PrimGrp
  
  
                    GAP Primitive Permutation Groups Library
  
  
                                 Version 3.4.3
  
  
                                10 December 2022
  
  
                                Alexander Hulpke
  
                               Colva Roney-Dougal
  
                              Christopher Russell
  
  
  
  Alexander Hulpke
      Email:    mailto:hulpke@math.colostate.edu
      Homepage: https://www.math.colostate.edu/~hulpke/
      Address:  Department of Mathematics
                Colorado State University
                Fort Collins, CO, 80523-1874, USA
  
  
  Colva Roney-Dougal
      Email:    mailto:colva.roney-dougal@st-andrews.ac.uk
      Homepage: http://www-groups.mcs.st-and.ac.uk/~colva/
      Address:  School of Mathematics and Statistics
                University of St Andrews
                North Haugh, St Andrews
                Fife, KY16 9SXS Scotland
  
  
  Christopher Russell
      Email:    mailto:cr66@st-andrews.ac.uk
      Address:  School of Mathematics and Statistics
                University of St Andrews
                North Haugh, St Andrews
                Fife, KY16 9SXS Scotland
  
  
  
  -------------------------------------------------------
  Abstract
  The GAP package PrimGrp provides the library of primitive permutation groups
  which  includes, up to permutation isomorphism (i.e., up to conjugacy in the
  corresponding symmetric group), all primitive permutation groups of degree <
  4096.
  
  
  -------------------------------------------------------
  Copyright
  © 2007-2022 by Alexander Hulpke and Colva Roney-Dougal
  
  PrimGrp is free software; you can redistribute it and/or modify it under the
  terms  of  the  GNU General Public License as published by the Free Software
  Foundation;  either  version 2 of the License, or (at your option) any later
  version.      For      details,      see      the     FSF's     own     site
  https://www.gnu.org/licenses/gpl.html.
  
  If  you obtained PrimGrp, we would be grateful for a short notification sent
  to one of the authors.
  
  If  you  publish  a  result  which  was partially obtained with the usage of
  PrimGrp, please cite it in the following form:
  
  A.   Hulpke,   C.  Roney-Dougal,  C.  Russell.  PrimGrp  ---  GAP  Primitive
  Permutation       Groups       Library,       Version       3.4.3;      2022
  (https://gap-packages.github.io/primgrp/).
  
  
  -------------------------------------------------------
  Acknowledgements
  The  conversion  of  the  GAP  database of primitive permutation groups to a
  separate   GAP  package  has  been  supported  by  the  EPSRC  Collaborative
  Computational  Project EP/M022641/1 CoDiMa (CCP in the area of Computational
  Discrete Mathematics), https://www.codima.ac.uk/.
  
  
  -------------------------------------------------------
  
  
  Contents (primgrp)
  
  1 Primitive Permutation Groups
    1.1 Primitive Permutation Groups
      1.1-1 PrimitiveGroup
      1.1-2 NrPrimitiveGroups
      1.1-3 AllPrimitiveGroups
      1.1-4 OnePrimitiveGroup
      1.1-5 PrimitiveGroupsIterator
      1.1-6 COHORTS_PRIMITIVE_GROUPS
    1.2 Index numbers of primitive groups
      1.2-1 PrimitiveIdentification
      1.2-2 SimsNo
      1.2-3 PRIMITIVE_INDICES_MAGMA
  2 Irreducible Matrix Groups
    2.1 Irreducible Solvable Matrix Groups
      2.1-1 IrreducibleSolvableGroupMS
      2.1-2 NumberIrreducibleSolvableGroups
      2.1-3 AllIrreducibleSolvableGroups
      2.1-4 OneIrreducibleSolvableGroup
      2.1-5 PrimitiveIndexIrreducibleSolvableGroup
      2.1-6 IrreducibleSolvableGroup