# Category:Parity Group

The group $\struct {\Z_2, +_2}$
$C_2$, the cyclic group of order 2
The complex square roots of unity $\struct {\set {1, -1}, \times}$
The quotient group $\dfrac {S_n} {A_n}$ of the symmetric group of order $n$ with the alternating group of order $n$