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Groups and FieldsMediumConjugacy and the Class Equation

Conjugacy and the Class Equation · Medium problem

In S6S_6, let σ=(1 2)(3 4 5 6)\sigma = (1\,2)(3\,4\,5\,6). What is ∣CS6(σ)∣|C_{S_6}(\sigma)|, the order of its centralizer?