Question: Q_8 (the quaternion group) - conjugacy classes.

hi, i know that Q_8 (the quaternion group) has 5 conjugacy classes. is there any way to check this in Maple using the elements below? G:=[ [[1,0],[0,1]], # 1 [[0,1],[-1,0]], # j [[-1,0],[0,-1]], #-1 [[0,-1],[1,0]],# -j [[I,0],[0,-I]], # i [[0,-I],[-I,0]], # -k [[-I,0],[0,I]], # -i [[0,I],[I,0]] # k ]: thank you.
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