On the $IC$-$\mathrm{\Pi }$-property of subgroups of finite groups

Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies the $\mathrm{\Pi }$-property in $G$ if $\mathrm{\mid }G\mathrm{/}K:N_{G\mathrm{/}K}((H\cap L)K\mathrm{/}K)\mathrm{\mid }$ is a $\pi ((H\cap L)K\mathrm{/}K)$-number for any chief factor $L\mathrm{/}K$ of $G$; and we call that $H$ satisfies the $IC$-$\mathrm{\Pi }$-property in $G$ if $H\cap [H,G]$ satisfies the $\mathrm{\Pi }$-property in $G$. In this paper, we obtain a criterion of a normal subgroup being contained in the $p\mathfrak{U}$-hypercenter of a finite group by the $IC$-$\mathrm{\Pi }$-property of some $p$-subgroups.