Conjugacy problem in groups of non-oriented geometrizable 3-manifolds

We have proved in [Topology, 45 1 (2006)] that fundamental groups of oriented geometrizable 3-manifolds have a solvable conjugacy problem. We now consider the case of groups of non-oriented geometrizable 3-manifolds in order to conclude that fundamental groups of geometrizable 3-manifolds all have a solvable conjugacy problem.