The factorization of Abelian codes over

, i.e., ideals in

a finite Abelian group, corresponding to a factorization of

and that of G as a product of cyclic groups are considered. Quasi-Abelian codes over

are considered and it is shown that every quasi-Abelian code over

is a direct sum of Abelian codes over

. A factorization of Gray codes over

is also considered.