2023 AMC 10A Problem 20

Each square in a 3 \times 3 grid of squares is colored red, white, blue, or green so that every 2 \times 2 square contains one square of each color. One such coloring is shown on the right below. How many different colorings are possible?

\textbf{(A)} 24 \qquad \textbf{(B)} 48 \qquad \textbf{(C)} 60 \qquad \textbf{(D)} 72 \qquad \textbf{(E)} 96

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.