Exercise 14, § 3

Show that every irreducible complex (resp. real) linear representation of a hyper-solvable finite group G is induced by a representation of degree 1 (resp. of degree 1 or 2) of a subgroup of G. (Apply Exerc. 13 to the Lie algebras $\mathfrak{g}\mathfrak{l}(n,\mathbf{C})$ and $\mathfrak{g}\mathfrak{l}(n,\mathbf{R}).$)\*