If G is non-nilpotent with no abelian direct factor and 2-closed, we get some characters of G, which satisfies the equation |Aut(G)|=2~3P~2.

• 假设G非幂零；且无交换直因子；但有正规Sylow2-子群.；在这种假设下给出满足方程|Aut(G)|=2~3p~2的G的一些性质