4-valent Cayley Graphs Of One Class Of Groups Of Order 8p

Let G=<a>:<g>,a2p=g4=1,ag=ar,r2?1(mod 2p),where p is a prime greater than 5 and p?1(mod 4).In this paper,We classified the 4-valent connected undirected Cayley graphs of G,whose order is 8p,and determined their automorphism group and their normality.As a result,We obtained some GRRs and some non-normal Cayley graphs(one of them is one-regular Cayley graph).