If for two finite groups $G$ and $H$ we have $G/N \cong H$, where $N$ is a normal subgroup of $G$, can we say $G\cong NH$ as a semidirect product?
2026-03-29 21:57:06.1774821426
On semi-direct product of groups
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No. Consider $G$ cyclic of order $4$ and $H \leq G$ subgroup of order $2$.