A definition in Character theory?

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I would like to know the meaning of the term Character Field used by B. Huppert in his book Endliche Gruppen 1. For example they have used the notation $K(\chi)$. I dont know what it stands for?

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Probably it's the smallest subfield of $\mathbb{C}$ containing all the values taken by $\chi$. I'd imagine it would be defined in the text though.