\begin{theindex} \item `ConstructAllGroups', 5 \item construction of all groups, 5 \item `CyclicExtensions', 12 \item `CyclicSplitExtensionMethod', 10 \item `CyclicSplitExtensions', 11 \item `CyclicSplitExtensionsDown', 11 \item `CyclicSplitExtensionsUp', 11 \indexspace \item `DistinguishGroups', 9 \indexspace \item examples with runtimes, 14 \item `ExtensionsByGroupNoCentre', 13 \indexspace \item `FrattiniExtensionMethod', 6 \item `FrattiniExtensions', 8 \item `FrattiniFactorCandidates', 7 \indexspace \item grpconst, 4 \indexspace \item The Construction of Frattini Free Groups, \indexit{7} \item the construction of frattini free groups, 7 \item the cyclic split extension method, 10 \item The Determination of Frattini Extensions, \indexit{8} \item the determination of frattini extensions, 8 \item the frattini extension method, 6 \item The Main Frattini Extension Function, \indexit{6} \item the main frattini extension function, 6 \item The Main Function, \indexit{10} \item The Underlying Functions, \indexit{10} \indexspace \item `UpwardsExtensions', 12 \item upwardsextensions, 12 \item `UpwardsExtensionsNoCentre', 13 \indexspace \item Verifying non-isomorphism, \indexit{8} \end{theindex}