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In the group A4, if Lagrange theorem was applied, how many cosets would the subgroup generated...

In the group A4, if Lagrange theorem was applied, how many cosets would the subgroup generated by (1, 2, 3) have? This subgroup is denoted by < (1, 2, 3) >. Write down all left cosets of < (1, 2, 3) >. Is it a group

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