Let $G$ be a finite group with a normal subgroup $H$ such that $G/H$ has order 7 . Then $G$ is isomorphic to $ H × G/H$ . Is this True/False. I don't kbow how to start , so please help!
2026-03-29 09:11:37.1774775497
Let $G$ be a finite group with a normal subgroup $H$ such that $G/H$ has order 7. $G$ is isomorphic to $ H × G/H$ .
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Hint:
Take the cyclic group $\;C_{49}\;$ and let $\;H\;$ be its subgroup of order $\;7\;$ ...