Groups and FieldsEasyNormal Subgroups and Quotient Groups ShareNormal Subgroups and Quotient Groups · Easy problemLet φ:Z12→Z8\varphi: \mathbb Z_{12} \to \mathbb Z_8φ:Z12→Z8 send k↦2k mod 8k \mapsto 2k \bmod 8k↦2kmod8. By the First Isomorphism Theorem, Z12/kerφ≅imφ\mathbb Z_{12}/\ker\varphi \cong \operatorname{im}\varphiZ12/kerφ≅imφ. What is ∣Z12/kerφ∣|\mathbb Z_{12}/\ker\varphi|∣Z12/kerφ∣?Check Show answer Walk through it step by step Practice more like this Review this concept