[GAP Forum] Transitive subgrops of Sym(n) of order n

[Max Horn]

Dear GAP forum,

is there an "efficient" way to compute (the conjugacy classes of) all
transitive subgroups of SymmetricGroup(n) or order n?

I.e. something more efficient than

Filtered(ConjugacyClassesSubgroups(SymmetricGroup(n)),
  x -> n=Size(Representative(x)) and IsTransitive(Representative(x)))

which has to compute all conjugacy classes.


Thanks!
Max