Let $G$ be a finite abelian group. Ferraz, Guerreiro and Polcino Milies prove that the number of $G$-equivalence classes minimal codes is equal to $G$-isomorphism subgroups for which corresponding quotients are cyclic. In this article, we notion equivalent isomorphism on set all $H$ with property $G/H$ As an application, calculate non-$G$-equivalent some specific family groups. We also divisors...