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We construct two supercharacter theories (in the sense of P. Diaconis andI.M. Isaacs) for the parabolic subgroups in orthogonal and symplectic groups.For each supercharacter theory, we obtain a supercharacter analog of theA.A.Kirillov formula for irreducible characters of finite unipotent groups.

Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups