As an additional feature of this package we provide some functions to
count extensions of `p`-groups and Lie algebras over `GF(p)`. These
functions have been used in counting the `2`-groups of size `2 ^{10}`.

`NumberOfPClass2PGroups( n, p, k )`

determines the number of `n`-generator `p`-groups of `p`-class 2 with
Frattini subgroup of order `2 ^{k}`.

`NumberOfPClass2PGroups( n, p )`

returns a list of of numbers of `n`-generator `p`-groups of `p`-class 2
with Frattini subgroup of order `2 ^{k}` for

`NumberOfClass2LieAlgebras( n, p, k )`

determines the number of `n`-generator Lie algebras of class 2 over
`GF(p)` with derived Lie subalgebra of dimension `k`.

`NumberOfClass2LieAlgbras( n, p )`

returns a list of of numbers of `n`-generator Lie algebras of class 2
over `GF(p)` with derived Lie subalgebra of dimension `k` for `k` in
`1, ..., n(n-1)/2`.

AutPGrp manual

Februar 2010