[GAP Forum] Creating all subgroups of SymmetricGroup
hulpke at math.colostate.edu
Wed Nov 4 16:54:35 GMT 2009
Dear GAP forum,
Ivan Jurevitch asked:
> Can I create the set(list/ record) of all subgroups (preferebly
> nonisomorphic) of a Symmetric Group on 9 elements - Sym(9)?
> There is a function IntermediateSubgroup(G,U) which creates all
> "between"G and U.
`IntermediateSubgroups' is intended for the case that U is nontrivial
and you don't want to get the full lattice. It likely is very
inefficient for getting all subgroups.
creates a list of all subgroups. I doubt you would want to have this
list for S9 (which has 1694723 subgroups in 554 classes) -- you
probably will be happy with class representatives as obtained from
Also see questions 7.6 and 7.7 of the FAQ at
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