通过研究有限群G的Sylow子群,给出了恰有p(p〉2)个相互共轭的非正规子群的有限群的完全分类,以及恰有2个不正规子群的有限的完全分类.
In this paper we give the classification of finite groups which have only p mutually conjugate nonnormal subgroups, and the classification of finite groups which have only 2 nonnormal subgroups by means of studying the sylow subgroups of finite groups.