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I have a group defined by G := Group((1,2,3),(1,2,4),(5,6,7),(5,6,8),(1,2)(5,6));. How can I compute the equivalence classes of elements in G (or a representative of each equivalence class) with respect to the equivalence relation a ~ b <=> there exist integers m,n such that a = c^n b c^m, where c is some fixed element of G?

Ben
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