Let $G$ be a finite group, and let $N=\{N_1,..., N_n\}$ be a list of nontrivial normal subgroups of $G$ having the following property: For every irreducible representation $\rho$ of $G$ there is some index $j$ such that $\rho$ restricted to $N_j$ is trivial.

**Question:** Give an example of group $G$ and a collection of nontrivial normal subgroups $N$ of $G$ satisfying the above.