MathCastle
Groups and FieldsHardConjugacy and the Class Equation

Conjugacy and the Class Equation · Hard problem

In S6S_6, let σ=(1 2 3)(4 5)\sigma=(1\,2\,3)(4\,5) (fixing 66). What is ∣CS6(σ)∣|C_{S_6}(\sigma)|, the order of its centralizer?