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Let G be a non-abelian group and Z(G) be the center of G. The non-commutinggraph {\Gamma}(G) of G is a graph with vertex set is non central elements of Gand two vertices x, y are adjacent if and only if they are commute. In thispaper we calculate the energy, Laplacian energy and spectrum of non-commutinggraph of dihedral group D2n. Also we will obtain the energy of non-commutinggraph of D2n \times D2n and G \times H, where G is a non-abelian finite groupand H is an abelian finite group

The energy and spectrum of non commuting graph