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?