- #1

Mr Davis 97

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## Homework Statement

Find all the elements of ##\operatorname{Aut}(D_{12})##. Which elements are inner automorphisms?

Note: ##D_{12}## is the dihedral group with ##12## elements.

## Homework Equations

## The Attempt at a Solution

I'm not really sure how to approach this. What I do know is that ##|D_{12}/Z(D_{12})| = 12/2 = 6##, so ##|\operatorname{Inn}(D_{12})| = 6##. So ##6 \le |\operatorname{Aut}(D_{12})|##, but I don't have an upper bound, and this also hasn't helped me explicitly find what the automorphisms are.

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