  
  
                                    [1X[5XPrimGrp[105X[101X
  
  
                    [1X[5XGAP[105X Primitive Permutation Groups Library[101X
  
  
                                 Version 4.0.1
  
  
                               24 September 2025
  
  
                                Alexander Hulpke
  
                               Colva Roney-Dougal
  
                              Christopher Russell
  
  
  
  Alexander Hulpke
      Email:    [7Xmailto:hulpke@math.colostate.edu[107X
      Homepage: [7Xhttps://www.math.colostate.edu/~hulpke/[107X
      Address:  [33X[0;14YDepartment of Mathematics[133X
                [33X[0;14YColorado State University[133X
                [33X[0;14YFort Collins, CO, 80523-1874, USA[133X
  
  
  Colva Roney-Dougal
      Email:    [7Xmailto:colva.roney-dougal@st-andrews.ac.uk[107X
      Homepage: [7Xhttp://www-groups.mcs.st-and.ac.uk/~colva/[107X
      Address:  [33X[0;14YSchool of Mathematics and Statistics[133X
                [33X[0;14YUniversity of St Andrews[133X
                [33X[0;14YNorth Haugh, St Andrews[133X
                [33X[0;14YFife, KY16 9SXS Scotland[133X
  
  
  Christopher Russell
      Email:    [7Xmailto:cr66@st-andrews.ac.uk[107X
      Address:  [33X[0;14YSchool of Mathematics and Statistics[133X
                [33X[0;14YUniversity of St Andrews[133X
                [33X[0;14YNorth Haugh, St Andrews[133X
                [33X[0;14YFife, KY16 9SXS Scotland[133X
  
  
  
  -------------------------------------------------------
  [1XAbstract[101X
  [33X[0;0YThe [5XGAP[105X package [5XPrimGrp[105X 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.[133X
  
  
  -------------------------------------------------------
  [1XCopyright[101X
  [33X[0;0Y© 2007-2025 by Alexander Hulpke and Colva Roney-Dougal[133X
  
  [33X[0;0Y[5XPrimGrp[105X 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
  [7Xhttps://www.gnu.org/licenses/gpl.html[107X.[133X
  
  [33X[0;0YIf  you obtained [5XPrimGrp[105X, we would be grateful for a short notification sent
  to one of the authors.[133X
  
  [33X[0;0YIf  you  publish  a  result  which  was partially obtained with the usage of
  [5XPrimGrp[105X, please cite it in the following form:[133X
  
  [33X[0;0YA.   Hulpke,   C.  Roney-Dougal,  C.  Russell.  [13XPrimGrp  ---  GAP  Primitive
  Permutation       Groups       Library,       Version       4.0.1;[113X      2025
  ([7Xhttps://gap-packages.github.io/primgrp/[107X).[133X
  
  
  -------------------------------------------------------
  [1XAcknowledgements[101X
  [33X[0;0YThe  conversion  of  the  [5XGAP[105X  database of primitive permutation groups to a
  separate   [5XGAP[105X  package  has  been  supported  by  the  EPSRC  Collaborative
  Computational  Project EP/M022641/1 CoDiMa (CCP in the area of Computational
  Discrete Mathematics), [7Xhttps://www.codima.ac.uk/[107X.[133X
  
  
  -------------------------------------------------------
  
  
  [1XContents (primgrp)[101X
  
  1 [33X[0;0YPrimitive Permutation Groups[133X
    1.1 [33X[0;0YPrimitive Permutation Groups[133X
      1.1-1 PrimitiveGroupsAvailable
      1.1-2 PrimitiveGroup
      1.1-3 NrPrimitiveGroups
      1.1-4 AllPrimitiveGroups
      1.1-5 OnePrimitiveGroup
      1.1-6 PrimitiveGroupsIterator
      1.1-7 COHORTS_PRIMITIVE_GROUPS
    1.2 [33X[0;0YIndex numbers of primitive groups[133X
      1.2-1 PrimitiveIdentification
      1.2-2 SimsNo
      1.2-3 PRIMITIVE_INDICES_MAGMA
  2 [33X[0;0YIrreducible Matrix Groups[133X
    2.1 [33X[0;0YIrreducible Solvable Matrix Groups[133X
      2.1-1 IrreducibleSolvableGroupMS
      2.1-2 NumberIrreducibleSolvableGroups
      2.1-3 AllIrreducibleSolvableGroups
      2.1-4 OneIrreducibleSolvableGroup
      2.1-5 PrimitiveIndexIrreducibleSolvableGroup
      2.1-6 IrreducibleSolvableGroup
  
  
  [32X
