Let $G$ be a finite group and $\mathbb{C}$ be the complex field. $L,M,N$ are finitely generated $\mathbb{C}G$-modules (Where $\mathbb{C}G$ denotes a group ring).
Show if $$0\rightarrow L \rightarrow M \rightarrow N\rightarrow 0$$ is a short exact sequence then it splits.