In this note we extend our previous result about the structure of the dual of a crossed product C * -algebra A ⋊σ G, when G is a finite group. We consider the space Γ which consists of pairs of irreducible representations of A and irreducible projective representations of subgroups of G. Our goal is to endow Γ with a topology so that the orbit space G\ Γ is homeomorphic to the dual of A ⋊σ G. In particular, we will show that if A is Hausdorff then G\ Γ is homeomorphic to A ⋊σ G.