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Groups and FieldsChallengeNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Challenge problem

D9D_9 is the symmetry group of a regular 99-gon (order 1818), and N=⟨r3⟩={e,r3,r6}N=\langle r^3\rangle=\{e,r^3,r^6\} is normal in D9D_9. Which of these is D9/ND_9/N isomorphic to?