  Let $\pi$ be a set of primes, and let $G$ be a finite $\pi$-separable group.
We consider the Isaacs ${\rm B}_\pi$-characters. We show that if $N$ is a
normal subgroup of $G$, then ${\rm B}_\pi (G/N) = {\rm Irr} (G/N) \cap {\rm
B}_\pi (G)$.
