$S_8\otimes H_2$
$${\rm LOG}\left(S_8 \otimes H_2\right)=\frac{1}{2}\pi
\left[\begin{array}{rrrrrrrrrrrrrrrr}
\bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet & \bullet\\
\bullet & 2& \bullet & 2 &\bullet & 2 &\bullet & 2 &\bullet & 2 &\bullet & 2 &\bullet & 2 &\bullet & 2\\
\bullet & \bullet & \bullet & \bullet & 2 &2 &2& 2& 2& 2& 1& 1& 3& 3& \bullet & \bullet\\
\bullet & 2 &\bullet & 2 &2 &\bullet & 2 &\bullet & 2 &\bullet & 1 &3& 3& 1& \bullet & 2\\
\bullet & \bullet & 1 &1 &1 &1 &3 &3 &\bullet & \bullet & 2 &2 &2 &2 &3 &3\\
\bullet & 2 &1 &3 &1 &3 &3 &1 &\bullet & 2 &2 &\bullet & 2 &\bullet & 3 &1\\
\bullet & \bullet & 1 &1 &3 &3 &1 &1 &2 &2 &3 &3 &1 &1& 3& 3\\
\bullet & 2 &1 &3 &3 &1 &1 &3 &2 &\bullet & 3 &1 &1 &3 &3 &1\\
\bullet & \bullet & 2 &2 &3 &3 &1 &1 &\bullet & \bullet & 1 &1 &3 &3 &2 &2\\
\bullet & 2 &2 &\bullet & 3 &1 &1 &3 &\bullet & 2 &1 &3 &3 &1 &2 &\bullet \\
\bullet & \bullet & 2 &2 &1 &1 &3 &3 &2 &2 &\bullet & \bullet & \bullet & \bullet & 2 &2\\
\bullet & 2 &2 &\bullet & 1 &3 &3 &1 &2 &\bullet & \bullet & 2 &\bullet & 2 &2 &\bullet \\
\bullet & \bullet & 3 &3 &2 &2 & 2& 2& \bullet & \bullet & 3 &3 &1 &1 &1 &1\\
\bullet & 2 &3 &1 &2 &\bullet & 2 &\bullet & \bullet & 2 &3 &1 &1 &3 &1 &3\\
\bullet & \bullet & 3 &3 &\bullet & \bullet & \bullet & \bullet & 2 &2 &2& 2& 2& 2& 1& 1\\
\bullet & 2 &3 &1 &\bullet & 2 &\bullet & 2 &2 &\bullet & 2 &\bullet & 2 &\bullet & 1 &3\\
\end{array}\right]$$