Currently in Abstract Algebra, discussing group theory. In order to show two groups are isomorphic to each other, I know what you need to show, $1$-$1$, onto, and homomorphism. what I'm having a difficult time doing however is creating a map between the two groups.
Could anyone make any suggestions?
$$(Z_2 \times Z_4)/\langle(0,2)\rangle\cong Z_4$$