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## Homework Statement

By considering the vertices of the pentagon, show that D5 is isomorphic to a subgroup of S5.

Write all permutations corresponding to the elements of D5 under this isomorphism.

## The Attempt at a Solution

To show isomorphic, need to find a function f: D5->S5, where f(a,b) = f(a)f(b), f is one to one and onto.

I'm having a hard time determining the elements of of D5. D4 was trivial, but this one doesn't make sense to me.