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Groups and FieldsMediumSubgroups and Cyclic Groups

Subgroups and Cyclic Groups · Medium problem

D28D_{28} has 2828 rotations rkr^k (0≤k<280\le k<28, with rr of order 2828) and 2828 reflections, each of order 22. How many of these 5656 elements have order dividing 44?