We investigate surfaces of general type with geometric genus which may be given as Galois coverings of the projective plane branched over an arrangement of lines with Galois group , where and is a prime. Examples of such coverings include the classical Godeaux surface, Campedelli surfaces, Burniat surfaces, and a new surface with invariants and . We prove that the automorphism group of a generic surface of Campedelli type is isomorphic to . We describe the irreducible components of the moduli space containing the Burniat surfaces. We also show that the Burniat surface with has torsion group (and hence belongs to the family of Campedelli surfaces), that is, the corresponding statement in [9], [4], and [1, p. 237], about the torsion group of the Burniat surface with is not correct.