$S$-$C$-permutably embedded subgroups of finite groups

A subgroup $H$ of a finite group $G$ is said to be $s$-conditionally permutably embedded (or in brevity, $s$-$c$-permutably embedded) in $G$ if for each $p \in \pi(H)$ every Sylow $p$-subgroup of $H$ is a Sylow $p$-subgroup of some $s$-conditionally permutable subgroup of $G$. In this paper, we use some $s$-$c$-permutably embedded subgroups to study the structure of some groups. Some known results are generalized.