Clifford correspondences and irreducible restrictions of characters

For a finite group $G$ and complex character $\chi \in \mathrm{I}\mathrm{r}\mathrm{r}(G)$ that restricts irreducibly to a normal subgroup $N⊲G,$ we prove a theorem about Clifford correspondences between the characters of subgroups of $G$ that induce $\chi \mathrm{.}$