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# Does every normal subgroupssubgroup appear as a kernel of an irreducible representation?

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Given a finite group and a normal subgroup, does there always exist an irreducible complex representation, whose kernel is this normal subgroup?

Sorry, just it was just mentioned that this is a duplicate. See http://mathoverflow.net/questions/57129/which-finite-groups-have-faithful-complex-irreducible-representations.

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# Does every normal subgroups appear as a kernel of aanirreducible representation?

Given a finite group and a normal subgroup, does there always exist a an irreducible complex representation, whose kernel is this normal subgroup?

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