Normality Of 4-Valent Cayley Graphs Of One Class Of Group Of Order 8p~2

Let G be a finite group and T a generating subset of G such that 1(?)T.A Cay-ley graph X = Cay(G,T)of group G is said to be normal if R(G),the group of right multiplications is normal in the full automorphism group Aut(X)=Aut(Cay(G,T)).Let G=<a,b|a4p2 = b2 = 1,ab = a2p2-1),where p is a prime,p>5 and p ≠ 11.In this paper,by investigating the normality of X = Cay(G,T),we determine 4-valent Cayley graph of a class of 1eLacyclic groups of order 8p2.As a result,we obtain two classes of nonnormal one-regular Cayley graphs.