The Classification Of Finite 2-groups With Maximal Normalizers Of Non-normal Subgroups

We call a 2-group G an Q-group if H≤G, |G : NG(H ) |≤2.In this paper,we give a complete classification of Q-groups. Thispaper consists of four chapters. ChapterⅠis an introduction to this paper.ChapterⅡgives a list of preliminaries for the paper. In ChapterⅢwestudied some basic properties of Q-groups. In ChapterⅣwe classify Q-groups.