How to calculate the Galois group $\text{Gal}(\overline{\mathbb F_q}/\mathbb F_q)$?

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I am trying to calculate the Galois group $\text{Gal}(\overline{\mathbb F_q}/\mathbb F_q)$, where $\mathbb F_q$ is the finite field with $q$ elements and $\overline{\mathbb F_q}$ its algebraic closure, any hints or elegant answers? Really need help, thanks.