How would I characterize ${\rm Gal}(\Bbb Q(ζ_{24})/\Bbb Q(i))$ up to isomorphism where $ζ_{24}$ is a twenty fourth root of unity and ${\rm Gal}(\Bbb Q(ζ_{24})/\Bbb Q(i))$ is the corresponding Galois group?
How would I characterize ${\rm Gal}(\Bbb Q(ζ_{24})/\Bbb Q(i))$ up to isomorphism?
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galois-theory