Question: Symmetric group.

Maple 11:

I've made a list of all of the elements of the symmetric group s_6:

> S_6 := permgroup(6,{[[1,2]],[[1,2,3]],[[1,2,3,4]],[[1,2,3,4,5]],[[1,2,3,4,5,6]],[[1,2],[3,4]],[[1,2,3],[4,5]],[[1,2,3],[4,5,6]],[[1,2,3,4],[5,6]]});
> ident := permgroup (6, {[]} ):
> cosets(S_6, ident);

How do I extract certain types of cycle structures (e.g (**)(**)) from the list?

Thanks in advance.

 

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