Sentence:  If M is a <WSD>regular map</WSD> of type \{p, q\}, then \mathit{Aut}(M)\approx\Delta(p,q,2)/N for some normal subgroup N\ \trianglelefteq\ \Delta(p,q,2). Similar statements hold for the class of orientably <WSD>regular maps</WSD> and subgroups of \Delta^+ and \Delta^+(p,q,2). 
Meaning of the word marked with <WSD> tags:  A symmetric tessellation of a closed surface; a decomposition of a two-dimensional manifold into topological disks such that every flag (incident vertex-edge-face triple) can be transformed into any other flag by a symmetry (i.e., an automorphism) of the decomposition.