Possible Duplicate:
irreducible constituent in Normal subgroup
Let $G$ be a finite group and $N$ be a normal subgoup of G. Suppose that $\chi \in Irr(G)$. If $\theta , \lambda \in Irr(G)$, such that $[\chi_{N}, \theta]>0$ , $[\chi_{N}, \lambda]>0$, is it true that $\theta(1)=\lambda(1)$?
On the other hand, irreducible constituents of $\chi_{N}$ are uniqe?
