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Let $G$ be a finite group and $K$ be a group of order $8$. Suppose that $G/K\cong M_{12}$ where $M_{12}$ is one of the Mathieu group.

QUESTION:

How to calculate the all complex character degrees of $G$?

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  • $\begingroup$ What can you deduce about the extension of $K$ by $M_{12}$? Can it be non-split? $\endgroup$ – ahulpke Feb 11 at 23:30

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