  
  
                                   [1X SmallGrp [101X
  
  
                         [1X The [5XGAP[105X Small Groups Library [101X
  
  
                                     1.7.0
  
  
                                 18 August 2026
  
  
                               Hans Ulrich Besche
  
                                  Bettina Eick
  
                                 Eamonn O'Brien
  
  
  
  Bettina Eick
      Email:    [7Xmailto:beick@tu-bs.de[107X
      Homepage: [7Xhttp://www.iaa.tu-bs.de/beick[107X
      Address:  [33X[0;14YInstitut Analysis und Algebra[133X
                [33X[0;14YTU Braunschweig[133X
                [33X[0;14YUniversitätsplatz 2[133X
                [33X[0;14YD-38106 Braunschweig[133X
                [33X[0;14YGermany[133X
  
  
  Eamonn O'Brien
      Email:    [7Xmailto:obrien@math.auckland.ac.nz[107X
      Homepage: [7Xhttps://www.math.auckland.ac.nz/~obrien[107X
      Address:  [33X[0;14YDepartment of Mathematics[133X
                [33X[0;14YUniversity of Auckland[133X
                [33X[0;14YPrivate Bag 92019[133X
                [33X[0;14YAuckland[133X
                [33X[0;14YNew Zealand[133X
  
  
  
  -------------------------------------------------------
  
  
  [1XContents (smallgrp)[101X
  
  1 [33X[0;0YThe Small Groups Library[133X
    1.1 [33X[0;0YOverview[133X
    1.2 [33X[0;0YRelated packages[133X
    1.3 [33X[0;0YFunction Reference[133X
      1.3-1 SmallGroup
      1.3-2 SmallGroupsAvailable
      1.3-3 AllSmallGroups
      1.3-4 OneSmallGroup
      1.3-5 NumberSmallGroups
      1.3-6 NumberSmallGroupsAvailable
      1.3-7 SelectSmallGroups
      1.3-8 IdSmallGroup
      1.3-9 IdGroupsAvailable
      1.3-10 IdsOfAllSmallGroups
      1.3-11 IdGap3SolvableGroup
      1.3-12 SmallGroupsInformation
      1.3-13 SmallGroupsAddLayer
      1.3-14 UnloadSmallGroupsData
      1.3-15 SMALL_GROUPS_OLD_ORDER
  2 [33X[0;0YThe Organisation of the Small Groups Library[133X
    2.1 [33X[0;0YLayers[133X
    2.2 [33X[0;0YFiles and Directories[133X
    2.3 [33X[0;0YLayer 1[133X
    2.4 [33X[0;0YLayer 2[133X
      2.4-1 [33X[0;0YDetermination[133X
      2.4-2 [33X[0;0YStoring[133X
      2.4-3 [33X[0;0YSelection arguments[133X
      2.4-4 [33X[0;0YIdentification[133X
    2.5 [33X[0;0YLayer 3[133X
      2.5-1 [33X[0;0YDetermination[133X
      2.5-2 [33X[0;0YStoring: nilpotent groups[133X
      2.5-3 [33X[0;0YStoring: groups with normal Sylow [22Xp[122X-subgroup[133X
      2.5-4 [33X[0;0YStoring: groups with normal Sylow 2-subgroup[133X
      2.5-5 [33X[0;0YStoring: groups without normal Sylow subgroup[133X
      2.5-6 [33X[0;0YIdentification[133X
    2.6 [33X[0;0YLayer 4[133X
      2.6-1 [33X[0;0YDetermination[133X
      2.6-2 [33X[0;0YStoring[133X
      2.6-3 [33X[0;0YIdentification[133X
    2.7 [33X[0;0YLayer 5[133X
    2.8 [33X[0;0YLayer 6[133X
      2.8-1 [33X[0;0YDetermination[133X
      2.8-2 [33X[0;0YStoring[133X
      2.8-3 [33X[0;0YIdentification[133X
    2.9 [33X[0;0YLayer 7[133X
      2.9-1 [33X[0;0YDetermination[133X
      2.9-2 [33X[0;0YStoring[133X
    2.10 [33X[0;0YLayer 8[133X
      2.10-1 [33X[0;0YDetermination[133X
      2.10-2 [33X[0;0YStoring[133X
    2.11 [33X[0;0YLayer 9[133X
      2.11-1 [33X[0;0YDetermination[133X
      2.11-2 [33X[0;0YStoring[133X
      2.11-3 [33X[0;0YIdentification[133X
    2.12 [33X[0;0YLayer 10[133X
      2.12-1 [33X[0;0YGroups of squarefree order[133X
      2.12-2 [33X[0;0YGroups of cubefree but not squarefree order[133X
    2.13 [33X[0;0YLayer 11[133X
      2.13-1 [33X[0;0YDetermination[133X
      2.13-2 [33X[0;0YStoring[133X
      2.13-3 [33X[0;0YIdentification[133X
    2.14 [33X[0;0YConcluding remarks[133X
  
  
  [32X
