9T27 $\PSL(2,8)$ $504$ $1$ no 28T70, 36T712
28T70 $\PSL(2,8)$ $504$ $1$ no 9T27, 36T712
36T712 $\PSL(2,8)$ $504$ $1$ no 9T27, 28T70
Results are complete for degrees $\leq 23$.