Generalized quasi-dihedral group as automorphism group of Riemann surfaces

In this paper, we discuss certain types of conformal/anticonformal actions of the generalized quasi-dihedral group $G_n$ of order $8n$, for $n\ge 2$, on closed Riemann surfaces, pseudo-real Riemann surfaces and compact Klein surfaces, and in each of these actions we study the uniqueness (up to homeomorphisms) action problem.