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Find all left and right cosets of the group of permutations on three objects, $S_3$ taking the subgroup to be
- $H_1=\big\{e, (1,2)\big\}$
- $H_2=\big\{e, (1,3)\big\}$
- $H_3=\big\{e, (2,3)\big\}$
- $H_4=\big\{e, (1,2,3),(1,3,2)\big\}$
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