  Let $G$ be the real reductive group and let $G_0$ be the identity component.
Let us assume that the unitary dual $\hat{G_0}$ is known. In this paper (in
Section 5) the unitary dual $\hat{G}$ is constructed. Automorphisms of $G_0$
generated by elements of $G$ are the main ingredient of the construction. If
the automorphism is outer, one has to consider the corresponding intertwining
operators $S$. Operators $S$ and their properties are analyzed in Section 4.
Automorphisms of $g_0$ are closely related to automorphisms of $G_0$. They are
investigated in Section 3. Automorphisms of so(4,4)$ are analyzed in Subsection
3.1.
