  
  
                                   [1X GrpConst [101X
  
  
                   [1X Constructing the Groups of a Given Order [101X
  
  
                                     2.7.0
  
  
                                 14 August 2026
  
  
                               Hans Ulrich Besche
  
                                  Bettina Eick
  
  
  
  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
  
  
  
  -------------------------------------------------------
  
  
  [1XContents (GrpConst)[101X
  
  1 [33X[0;0YPreface[133X
  2 [33X[0;0YIntroduction to GrpConst[133X
  3 [33X[0;0YConstruction of All Groups[133X
    3.1 [33X[0;0YConstruction of All Groups[133X
      3.1-1 ConstructAllGroups
  4 [33X[0;0YThe Frattini Extension Method[133X
    4.1 [33X[0;0YThe Main Frattini Extension Function[133X
      4.1-1 FrattiniExtensionMethod
    4.2 [33X[0;0YThe Construction of Frattini Free Groups[133X
      4.2-1 FrattiniFactorCandidates
    4.3 [33X[0;0YThe Determination of Frattini Extensions[133X
      4.3-1 FrattiniExtensions
    4.4 [33X[0;0YVerifying non-isomorphism[133X
      4.4-1 DistinguishGroups
  5 [33X[0;0YThe Cyclic Split Extension Method[133X
    5.1 [33X[0;0YThe Main Function[133X
      5.1-1 CyclicSplitExtensionMethod
    5.2 [33X[0;0YThe Underlying Functions[133X
      5.2-1 CyclicSplitExtensions
      5.2-2 CyclicSplitExtensionsUp
  6 [33X[0;0YThe Upwards Extension Method[133X
    6.1 [33X[0;0YThe Upwards Extension Method[133X
      6.1-1 UpwardsExtensions
      6.1-2 CyclicExtensions
      6.1-3 UpwardsExtensionsNoCentre
      6.1-4 ExtensionsByGroupNoCentre
  7 [33X[0;0YExamples with Runtimes[133X
  
  
  [32X
