q=13 PGL(3,q) (sanity)                  order  810534816 expected  810534816  >= M=48672  -> OK
q=13 C2 monomial (q-1)^2:S3             order        864 expected        864  < M=48672  -> OK
q=13 C3 Singer normaliser               order        549 expected        549  < M=48672  -> OK
q=13 C6 N(3^{1+2}) = 3^2:SL(2,3)        order        216 expected        216  < M=48672  -> OK
q=13 C8 SO(3,q) = Sym^2 PGL(2,q)        order       2184 expected       2184  < M=48672  -> OK
q=13 PSL(3,q) order 270178272 (expected 270178272) OK; orbit of point 0: 183; |phi_d(PSL(3,q)_d)| = 2184 (|PGL(2,q)| = 2184) OK
q=16 C2 monomial (q-1)^2:S3             order       1350 expected       1350  < M=65280  -> OK
q=16 C3 Singer normaliser               order        819 expected        819  < M=65280  -> OK
q=16 C5 subfield PGL(3,4)               order      60480 expected      60480  < M=65280  -> OK
q=16 C8 PGU(3,4) (random frames)        order      62400 expected      62400  < M=65280  -> OK
q=16 PSL(3,q) order 1425715200 (expected 1425715200) OK; orbit of point 0: 273; |phi_d(PSL(3,q)_d)| = 4080 (|PGL(2,q)| = 4080) OK
