Group Actions · Easy problem

Label a square's vertices $0,1,2,3$ in order. Under the rotation subgroup $C_4=\{e,r,r^2,r^3\}$ only (no reflections), consider the coloring that paints vertices $0,2$ color $A$ and vertices $1,3$ color $B$. What is the size of this coloring's orbit under $C_4$ (the number of distinct rotated images)?