Let G be a finite group. Let Irr1(G) be the set of nonlinear irreducible characters of G and cd1(G) the set of degrees of the characters in Irr1(G). A group G is said to be a D 2-group if |cd1(G)| = |Irr1(G)| . 2. The main purpose of this paper is to classify nonsolvable D 2-groups.