How can I describe the left and right cosets of $D_4$ I know that $D_4 $ is
$ \begin{array}{ll} \rho_{0}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 1 & 2 & 3 & 4 \end{array}\right) & \mu_{1}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 2 & 1 & 4 & 3 \end{array}\right) \\ \rho_{1}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 2 & 3 & 4 & 1 \end{array}\right) & \mu_{2}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 3 & 2 & 1 \end{array}\right) \\ \rho_{2}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 3 & 4 & 1 & 2 \end{array}\right) & \delta_{1}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 3 & 2 & 1 & 4 \end{array}\right) \\ \rho_{3}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 1 & 2 & 3 \end{array}\right) & \delta_{2}=\left(\begin{array}{llll} 1 & 2 & 3 & 4 \\ 1 & 4 & 3 & 2 \end{array}\right) \end{array} $
and there are 3 right and 3 left cosets, but how can i describe it?