WebSolution. Let us denote G = D8. Let Kx be the conjugacy class in G containing the element x. Note that r < CG(r) ⪇ G and the order r = 4. Hence we must have CG(r) = r . Thus the element r has G: CG(r) = 2 conjugates in G. Since srs − 1 = r3, the conjugacy class Kr containing r is {r, r3}. http://funnel.sfsu.edu/xrd/documentation/Part%203_D8%20SOP_web.doc
Discrete Mathematics Hasse Diagrams - GeeksforGeeks
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D8 - GroupNames - University of Bristol
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