Groups and FieldsEasySubgroups and Cyclic Groups ShareSubgroups and Cyclic Groups · Easy problemU(9)U(9)U(9) has order 666. Does 777 generate U(9)U(9)U(9)?AYes, 777 generates U(9)U(9)U(9)BNo, 777 does not generate U(9)U(9)U(9)CYes, because 777 is coprime to 999DYes, because 72≡4≠17^2\equiv4\ne172≡4=1, so it must have the full orderCheck Show answer Walk through it step by step Practice more like this Review this concept