MathCastle
Groups and FieldsEasyNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Easy problem

In D8D_8 (symmetries of a regular octagon, order 1616), let rr have order 88 and N=⟨r4⟩N = \langle r^4\rangle, which is normal (in fact central). What is the order of the coset rNrN in D8/ND_8/N?