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A digraph Γ is called n-Cayley digraph over a group G, if there exists a semiregu-lar subgroup R G of Aut(Γ) isomorphic to G with n orbits. In this paper, we represent the adjacency matrix of Γ as a diagonal block matrix in terms of irreducible representations of G and determine its characteristic polynomial. As corollaries of this result we find: the… (More)