| Let G be a finite group and S a generating subset of G.|S|= 3. A Cayley graph X= Cay(G.S) is said to be normal if R(G) is normal in AutX. In this paper, we classify 3-valent Cayley graphs of order 8p except those of abelian groups, dihedral groups, quaternion groups, quasi-dihedral groups and semi-dihedral groups, and as a result, we obtain a new infinite families of 3-valent one-regular Cayley graphs. |