Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable

In this paper, we investigate the structure of finite groups and obtain the classification of nonabelian chief factors by considering $\mathcal{M}$-permutable maximal subgroups of Sylow $p$-subgroups. We also consider the application of such formations in the theory of finite groups.