A type of rooted map called (p, q, n)-dipole, whose numbers on surfaces have some applications in string theory, are defined and the numbers of (p, q, n)-dipoles on orientable surfaces of genus 1 and 2 are given by Visentin and Wieler (The Electronic Journal of Combinatorics 14 (2007),#R12). In this paper, we study the classification of (p, q, n)-dipoles on nonorientable surfaces and obtain the...