Question: Let G = ( x, y | x 8 = 1, y 2 = 1, yx = x 5 y ). Find all the conjugacy

Let G = ( x, y | x8 = 1, y 2 = 1, yx = x5 y ).

Find all the conjugacy classes of G. Hence, calculate the center of G.

Prove that G/Z(G) =C2 C2.

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