关键词: 有限群, 同构分类, 群的构造

Abstract:

Let p,q be odd primes such that p>q, let G be a finite group of order p³q³ with extraspecial Sylow q-subgroups with order q³ and exponent q. Using local analysis of finite groups, through the analysis of the different actions among the subgroups, the author completely classified the group G, and obtained its whole struture.

Key words: finite group, isomorphic classification, structure of group