4-Valent Cayley Graphs Of One Class Of Group Of Order 4p~2

Let G be a finite group and T a generating subset of G such that 1(?)T.A Cayley graph X=Cay(G,T)of group G is said to be normal if R(G),the group of right multiplications is normal in full automorphism group Aut(X)=Aut(Cay(G,T)).Let G=<a,b|a8p2=b2=l,ab=ar>,where p is a prime,p>3.In this paper,by investigating the normality of X=Cay(G,T),we determine 4-valent Cayley graph of a class of metacyclic groups of order 4p2.As a result,we obtain four classes of nonnormal Cayley graphs.