\indexentry {GrpConst}{4} \indexentry {Construction of All Groups}{5} \indexentry {ConstructAllGroups@`ConstructAllGroups'}{5} \indexentry {The Frattini Extension Method}{6} \indexentry {The Main Frattini Extension Function@The Main Frattini Extension Function|indexit}{6} \indexentry {The Main Frattini Extension Function}{6} \indexentry {FrattiniExtensionMethod@`FrattiniExtensionMethod'}{6} \indexentry {FrattiniExtensionMethod@`FrattiniExtensionMethod'}{6} \indexentry {FrattiniExtensionMethod@`FrattiniExtensionMethod'}{6} \indexentry {FrattiniExtensionMethod@`FrattiniExtensionMethod'}{6} \indexentry {The Construction of Frattini Free Groups@The Construction of Frattini Free Groups|indexit}{7} \indexentry {The Construction of Frattini Free Groups}{7} \indexentry {FrattiniFactorCandidates@`FrattiniFactorCandidates'}{7} \indexentry {FrattiniFactorCandidates@`FrattiniFactorCandidates'}{7} \indexentry {The Determination of Frattini Extensions@The Determination of Frattini Extensions|indexit}{8} \indexentry {The Determination of Frattini Extensions}{8} \indexentry {FrattiniExtensions@`FrattiniExtensions'}{8} \indexentry {FrattiniExtensions@`FrattiniExtensions'}{8} \indexentry {Verifying non-isomorphism@Verifying non-isomorphism|indexit}{8} \indexentry {DistinguishGroups@`DistinguishGroups'}{9} \indexentry {The Cyclic Split Extension Method}{10} \indexentry {The Main Function@The Main Function|indexit}{10} \indexentry {CyclicSplitExtensionMethod@`CyclicSplitExtensionMethod'}{10} \indexentry {CyclicSplitExtensionMethod@`CyclicSplitExtensionMethod'}{10} \indexentry {The Underlying Functions@The Underlying Functions|indexit}{10} \indexentry {CyclicSplitExtensions@`CyclicSplitExtensions'}{11} \indexentry {CyclicSplitExtensions@`CyclicSplitExtensions'}{11} \indexentry {CyclicSplitExtensionsUp@`CyclicSplitExtensionsUp'}{11} \indexentry {CyclicSplitExtensionsUp@`CyclicSplitExtensionsUp'}{11} \indexentry {CyclicSplitExtensionsDown@`CyclicSplitExtensionsDown'}{11} \indexentry {CyclicSplitExtensionsDown@`CyclicSplitExtensionsDown'}{11} \indexentry {UpwardsExtensions}{12} \indexentry {UpwardsExtensions@`UpwardsExtensions'}{12} \indexentry {CyclicExtensions@`CyclicExtensions'}{12} \indexentry {UpwardsExtensionsNoCentre@`UpwardsExtensionsNoCentre'}{13} \indexentry {ExtensionsByGroupNoCentre@`ExtensionsByGroupNoCentre'}{13} \indexentry {Examples with Runtimes}{14}