proving $ \mathbb{Z}/12 \not\cong \mathbb{Z}/6 \oplus \mathbb{Z}/2$ as $\mathbb{Z}/12$ modules

Question

I know this is false for $\mathbb{Z}$ modules, by the fundamental theorem of finite abelian groups. I don't know if this still holds true when they are taken as modules over $\mathbb{Z}/12$.