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Quotients of $K3$ surfaces by finite groups

Let $G$ be a finite subgroup of the group of automorphsims of a $K3$ surface $S$. I am considering the quotient $S/G$. Is there any classification result for the quotients?

What if I assume that $G$ contains an involution that acts on $H^{2,0}(S)$ as multiplication by $-1$. Are there only finitely many such quotients up to deformation?

Basics
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