本项目旨在研究群的子群格的结构、子群格的某些性质对群结构的影响问题以及相关的p群问题。特别地，有限p群的Chermak-Delgado格与有限p群结构之间的联系与相互影响的研究是本项目的主要内容之一。 由于有限p群在Chermak-Delgado格研究中的重要地位，确定某些p群的结构也是本项目的主要内容之一。 另外，扩充Magma软件包是本项目的又一项内容。其意义在于：（1）群的子群格为群论研究提供了新的视角；（2）子群格研究目前在我国几近空白，此项目旨在加强该领域的研究；（3）p群为组合、上同调理论以及计算机科学提供了理想的研究对象；（4） Magma软件包的扩充为群论工作者提供了某种便利。

The propose of this project is to invesitigate some problems about the structure of subgroup lattices of groups, the influence of some properties of subgroup lattices on the structure of groups and related problems to finite p-groups. In particular, it is one of the main topic to investigate the interrelation and interaction between the Chermak-Delgado lattice and the structure of finite p-groups. Since finite p-groups play an important role in the study of Chermak-Delgado lattice, it is also one of the main topic to determine the structure of some classes of finite p-groups. In addition, to develop and apply deeply Magma is also bright style. The significance of this project is: (1) a new approach to the study of finite groups is provided by subgroup lattices;(2) the research to subgroup lattices is almost nothing in China. The project is to sharp the research about this aspect;(3) the p-groups provides a good research subject for combination, cohomology, computer science;(4) the extension to Magma benefit the group theorists.