You need to construct PermutationGroupElements if you want to use group 
operations:

sage: P = PermutationGroupElement([(1,2,3,4,5)])
sage: P^2
(1,3,5,2,4)

The sage.combinat.Permutation stuff is presumably about the combinatorics of 
permutations. Though it would be nice if they could be merged :-)

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