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In [[mathematics]], especially in the fields of [[group theory]] and [[group representation|representation theory of groups]], a '''class function''' is a [[function (mathematics)|function]] on a [[group (mathematics)|group]] ''G'' that is constant on the [[conjugacy class]]es of ''G''. In other words, it is invariant under the [[conjugation map]] on&nbsp;''G''. Such functions play a basic role in [[representation theory]].