In this paper, we mainly investigate the class-preserving Coleman automorphisms of finite groups whose Sylow $2$-subgroups are semidihedral. We prove that if $G$ is a finite solvable group with semidihedral Sylow $2$-subgroups, then ${\mathrm{\text{Out}}}_c(G)\cap {\mathrm{\text{Out}}}_{\mathrm{\text{Col}}}(G)$ is a $2^{\prime }$-group and therefore $G$ satisfies the normalizer property. As some applications of this result, we also investigate the normalizer property of the following groups: the groups whose Sylow $2$-subgroups are semidihedral and Sylow subgroups of odd order are all cyclic, the groups $G=N⋊S$ with $N$ a nilpotent normal subgroup and $S$ a maximal class $2$-group, and the wreath products $G=H\wr Q$ with $H$ a group whose Sylow $2$-subgroups are of maximal class with order $\ge 8$ and $Q$ a rational permutation group.

在本文中，我们主要研究了具有 Sylow 的有限群的保类 Coleman 自同构$2$-子群是半二面体的。我们证明如果$G$是具有半二面体 Sylow 的有限可解群$2$-子群，然后${\mathrm{\text{出去}}}_C(G)\cap {\mathrm{\text{出去}}}_{\mathrm{\text{科尔}}}(G)$是一个$2^{\text{'}}$-组，因此$G$满足归一化属性。作为该结果的一些应用，我们还研究了以下组的归一化属性：其 Sylow 的组$2$- 子群是半二面体，奇数阶的 Sylow 子群都是循环的，群$G=ñ⋊\mathrm{小号}$和$ñ$一个幂零正态子群和$\mathrm{小号}$一个最大的类$2$-组和花环产品$G=H\wr 问$和$H$一个团体，其 Sylow$2$- 子组是具有顺序的最大类$\ge 8$和$问$一个有理置换群。