Abstract A graph $\Gamma$ is called an $n$Cayley graph over a group $G$ if its automorphism contains
a semiregular subgroup isomorphic to $G$ with $n$ orbits. Every $n$Cayley graph over a group $G$ is completely determined by
$n^2$ suitable subsets of $G$. If each of these subsets is a union of conjugacy classes of $G$, then it is called a quasiabelian $n$Cayley
graph over $G$. In this paper, we determine the characteristic polynomial of quasiabelian $n$Cayley graphs. Then we exactly determine the
eigenvalues and the number of closed walks of quasiabelian semiCayley graphs. Furthermore, we construct some integral graphs.
