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Automorphisms of projective special linear group

I'm sure this is well known, but I don't know where to look up such things.

What is $\operatorname{Aut}(\operatorname{PSL}_2(\mathbb{F}_q))$ for $q$ a power of a prime? More important to me than what the automorphisms are is what the isomorphism class of $\operatorname{Aut}(\operatorname{PSL}_2(\mathbb{F}_q))$ is.

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