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Questions on group theory which concern finite groups.
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non-solvable finite group with a certain character degrees
Is there any non-solvable finite group $G$ such that ${\rm cd}(G) =\{1, 3, 4, 5, 6, 10 \}$, where ${\rm cd}(G)$ is the set of irreducible character degrees of $G$. In other words we have that a norm …