GrpConst is a GAP 4 package for constructing all groups of a given
finite order (up to isomorphism).
FrattiniExtensionMethod constructs all soluble groups of a given
order.
CyclicSplitExtensionMethod constructs all (necessarily soluble) groups
whose given orders are of the form pn .q for different primes p and q
and which have at least one normal Sylow subgroup.
UpwardsExtensions takes as its input a permutation group G and
positive integer s and returns a list of permutation groups, one for
each extension of G by a soluble group of order a divisor of s.
The programs in this package have been used to construct a large part
of the Small Groups library.