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Groups and FieldsEasyConjugacy and the Class Equation

Conjugacy and the Class Equation · Easy problem

A group has order 35=2433^5=243. According to the theorem, ∣Z(G)∣|Z(G)| must be a power of 33 that is a multiple of 33 (so not 11). How many different values could ∣Z(G)∣|Z(G)| possibly take?