Classify the given group according to the fundamental theorem of finitely generated abelian groups.
1. (Z₂ × Z₄)/((0, 1))
2. (Z₂ × Z₄)/((0, 2))
3. (Z₂ × Z₄)/((1, 2))
4. (Z₄ × Z₈)/((1, 2))
5. (Z₄ × Z₄ × Z₈)/((1, 2, 4))
5. (Z × Z)/((0, 1))