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Answer by Will Sawin for Distinct characters with the same character values,...

Take $G = S_3 \times S_4$ and consider the unique two-dimensional irreducible representation of $S_3$ and the unique two-dimensional irreducible representation of $S_4$. These have the same character...

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Distinct characters with the same character values, outer automorphisms and...

Given an (irreducible complex) character of a finite group the following three construction all yield another irreducible character of the same degree:multiplying by a degree 1 characterapplying an...

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