Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable
  A group $G$ is called subgroup conjugacy separable if for every pair of non-conjugate finitely generated subgroups of $G$, there exists a finite quotient of $G$ where the images of these subgroups are not conjugate. It is proved that the fundamental group of a hyperbolic 3-manifold (closed or with cusps) is subgroup conjugacy separable. 
S. C. Chagas, P. A. Zalesskii
math.GR