# Unique minimal normal subgroup $\implies$ faithful irreducible representation.

I'm tasked with proving that if I have a finite group G with a unique minimal normal subgroup, and a field F with characteristic not dividing the order of G, then there exists a faithful irreducible F-representation.

I can be fairly certain that the proof is to use Maschke's Theorem, since all the elements are there, but that normal subgroup also makes me think of Clifford's Theorem. My first thought was to take the regular FG-module and decompose with Maschke's, but I'm not sure what to do with that. I would be very grateful for any hints you can provide.

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