Coset/Examples/Symmetric Group on 3 Letters/Cosets of Alternating Subgroup

Examples of Cosets
Consider the symmetric group on 3 Letters.

Let $H \subseteq S_3$ be defined as:
 * $H = \set {e, \tuple {1 2 3}, \tuple {1 3 2} }$

The cosets of $H$ are: