(Solved): Group Multiplication Tables for D4 and WB2 A1. Fill in the multiplication table for D4, sy ...

Group Multiplication Tables for $D_4$ and ${\mathrm{WB}}_2$ A1. Fill in the multiplication table for $D_4$, symmetries of the square, where (from class) - ${?}_0$ is rotation counterclockwise by $0^{?}$, - ${?}_1$ is rotation counterclockwise by $90^{?}$, - ${?}_2$ is rotation counterclockwise by $180^{?}$, - ${?}_3$ is rotation counterclockwise by $270^{?}$, - ${?}_1$ is the flip across the $x$-axis, - ${?}_2$ is the flip across the $x=y$ axis, - ${?}_3$ is the flip across the $y$-axis, and - ${?}_4$ is the flip across the $x=?y$ axis.