Let $N$ be normal subgroup of $G$ and $G=(N\times C_{3})\rtimes C_{2}$. Then prove $G=N\times (C_{3}\rtimes C_{2})$. Thank you
Let $N$ be a normal subgroup of group $G$ and $G=(N\times C_{3})\rtimes C_{2}$. Then prove $G=N\times (C_{3}\rtimes C_{2})$.
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$\begingroup$
group-theory
finite-groups
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0What have tried Maryam? According to @Alexander's answer your claim in wrong? Are you sure about the conditions on $G$? Didn't you miss any assumptions? – 2012-12-26
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0May I suggest you this topic?http://math.stackexchange.com/questions/264096/semi-direct-groups-isomorphisms – 2012-12-26