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Let G = 〈(1 2 3 4 5 6), (1 6)(2 5)(3 4)〉. Let H1 :=...

Let G = 〈(1 2 3 4 5 6), (1 6)(2 5)(3 4)〉. Let H1 := 〈(1 4)(2 5)(3 6)〉 and H2 := 〈(1 6)(2 5)(3 4)〉. Determine if the subgroups H1 and H2 are normal subgroups of G.

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