On Connected Tetravalent Cayley Graphs of a Non-abelian Group of Order 3 p2.

In this paper we determine all tetravalent Cayley graphs of a non-abelian group of order 3 p², where p is a prime number greater than 3, and with a cyclic Sylow p-subgroup. We show that all of these tetravalent Cayley graphs are normal. The full automorphism group of these Cayley graphs is given and the half-transitivity and the arc-transitivity of these graphs are investigated. We show that this group is a 5-CI-group. [ABSTRACT FROM AUTHOR]