  We discuss fibered commensurability of fibrations on a hyperbolic 3-manifold,
a notion introduced by Calegari, Sun and Wang. We construct manifolds with
non-symmetric but commensurable fibrations on the same fibered face. We also
prove that if a given manifold M does not have any hidden symmetries, then M
does not admit non-symmetric but commensu- rable fibrations. Finally, Theorem
3.1 of Calegari, Sun and Wang shows that every hyperbolic fibered
commensurability class contains a unique minimal element. In this paper we
provide a detailed discussion on the proof of the theorem in the cusped case.
