Let $G/H\cong PSL(2,11)$, and $\theta$ be an irreducible $\mathbb{C}$-character of $H$. Suppose $\theta$ is invariant in $G$ and $\theta(1)=9$.
Question: Is $\theta$ extendible to $G$?
Is a $G$-invariant character $\theta$ of $H$ extendible to $G$?
C. Simon
- 577
- 2
- 7