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quotient group

The set of all cosets of a normal subgroup $N$ in $G$ , written $G/N$ , made into a group by $(g_1N)(g_2N) = (g_1g_2)N$ .

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Examples

$\mathbb{Z}_6/\{0,3\}$ has 3 cosets, forming a group isomorphic to $\mathbb{Z}_3$ .
$S_3/A_3$ has order 2.