An example in my book on character theory gives an arbitrary non-abelian group(adsbygoogle = window.adsbygoogle || []).push({}); Gof order 27 and claims that|G'| =3 (order of the commutator subgroup equals 3) and that there are 11 conjugation-classes. I really don't know why. I only manage to deduce that|Z(G)| =3 (the order of the center of the group equals 3).

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# Non-abelian group or order 27

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