hi, i am interested in obtaining a (partial) lattice of subgroups of the symmetric group including all subgroups of size upto some small order. can one do this efficiently in GAP? going to the full lattice seems to be very cumbersome since i am actually interested in small subgroups(upto conjugation) of the symmetric group. more specifically if i am interested in finding subgroups(if any) of the symmetric group of some given size(upto conjugation), is there any eficient way to go about it? thanks for any replies.
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