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Groups and FieldsEasyConjugacy and the Class Equation

Conjugacy and the Class Equation · Easy problem

D6D_6 is the group of symmetries of a regular hexagon (order 1212), generated by the 60∘60^\circ rotation rr (so r6=er^6=e) and a reflection ss satisfying srs−1=r−1srs^{-1}=r^{-1}. How many elements of D6D_6 are conjugate to rr, counting rr itself?