Smooth quotients of abelian surfaces by finite groups that fix the origin

Let $A$ be an abelian surface and let $G$ a finite group of automorphisms fixing the origin. Assume that analytic representation is irreducible. We give classification pairs $(A,G)$ such quotient $A/G$ smooth. In particular, we prove $A=E^2$ with $E$ elliptic curve $A/G\simeq\mathbb{P}^2$ in all cases. Moreover, for fixed $E$, there are only finitely many $(E^2,G)$ up to isomorphism. This fills small gap literature completes smooth quotients varieties by groups origin started first two authors.