Nonexistence of morphisms between two groups

#group_theory

Suppose $H$ is a group of order 15. Prove there does not exist a nontrivial group homomorphism $ϕ : D_{5} \to H$ , where $D_{5}$ is the dihedral group with ten elements.

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Suppose $H$ is a group of order 15. Prove there does not exist a nontrivial group homomorphism $\phi:D_5\to H$, where $D_5$ is the dihedral group with ten elements.