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How to find left coset of a symmetry subgroup S 4 . Ex: (1 3)H = (1 3) {e,(1 2 3 4),(1 3)(2 4),(1 4

How to find left coset of a symmetry subgroup S4.

Ex: (1 3)H = (1 3) {e,(1 2 3 4),(1 3)(2 4),(1 4 3 2)}

= {(1 3),(1 2)(3 4),(2 4),(1 4)(3 2)}

please explain to me how to obtained these answer.

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