中文摘要：

主要讨论了群G的Sylow子群及其他子群的弱拟正规性对群的影响，从而得到原群G超可解的几个充分条件的定理：1）群G有指数为素数的可解正规子群日，若日的每个Sylow子群的极大子群在G中弱拟正规，则G超可解；2）群G有指数为素数的正规子群H，若日的Sylow子群及Sylow子群的2-极大子群皆在G内弱拟正规，则G超可解；3）设G=AB，A超可解，B是P-群，P=max7r（G），若B与A的极大子群可交换且A弱拟正规于G，则G超可解；4）M为G的幂零极大子群，若M及其极大子群皆在G中弱拟正规，则G超可解。

英文摘要：

In this paper we discuss the influence on an original finite group G when its Sylow subgroups and other subgroups are weakly quasi-normal, then we obtain some sufficient conditions for supersoluability of group G. 1 ） Suppose that H is a solvable normal dubgroup of G with its exponent being prime, if every Sylow maximal subgroup is weakly quasi-normal in G, then G is supersolvable. 2） Suppose that H is a solvable normal dubgroup of G with its exponent being prime, if every Sylow maximal subgroup and two-maximal subgroup are weakly quasi-normal in G, then G is supersolvable. 3 ） Suppose that G = AB, A is supersolvable and B is P- subgroup, p = max or（G）. If the maximal subgroups of A and B change each other, and A is weakly quasi-normal in G, then G is supersolvable. 4） Suppose that M is a nilpotent maximal subgroup of G, if M and its maximal subgroup are weakly quasi-normal in G. Then G is supersolvable.