Finite Groups with Some s-semipermutable subgroups

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. We say that $H$ is s-semipermutable in $G$ if $H{G}_p=G_{p}H$ for any Sylow $p$-subgroup $G_p$ of $G$ with $(p,\mathrm{\mid }H\mathrm{\mid })=1$. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized.