q=5 PGL(3,q) (sanity)                  order     372000 expected     372000  >= M=800  -> OK
q=5 C2 monomial (q-1)^2:S3             order         96 expected         96  < M=800  -> OK
q=5 C3 Singer normaliser               order         93 expected         93  < M=800  -> OK
q=5 C8 SO(3,q) = Sym^2 PGL(2,q)        order        120 expected        120  < M=800  -> OK
q=5 PSL(3,q) order 372000 (expected 372000) OK; orbit of point 0: 31; |phi_d(PSL(3,q)_d)| = 120 (|PGL(2,q)| = 120) OK
q=7 PGL(3,q) (sanity)                  order    5630688 expected    5630688  >= M=4704  -> OK
q=7 C2 monomial (q-1)^2:S3             order        216 expected        216  < M=4704  -> OK
q=7 C3 Singer normaliser               order        171 expected        171  < M=4704  -> OK
q=7 C6 N(3^{1+2}) = 3^2:SL(2,3)        order        216 expected        216  < M=4704  -> OK
q=7 C8 SO(3,q) = Sym^2 PGL(2,q)        order        336 expected        336  < M=4704  -> OK
q=7 PSL(3,q) order 1876896 (expected 1876896) OK; orbit of point 0: 57; |phi_d(PSL(3,q)_d)| = 336 (|PGL(2,q)| = 336) OK
q=8 PGL(3,q) (sanity)                  order   16482816 expected   16482816  >= M=4032  -> OK
q=8 C2 monomial (q-1)^2:S3             order        294 expected        294  < M=4032  -> OK
q=8 C3 Singer normaliser               order        219 expected        219  < M=4032  -> OK
q=8 C5 subfield PGL(3,2)               order        168 expected        168  < M=4032  -> OK
q=8 PSL(3,q) order 16482816 (expected 16482816) OK; orbit of point 0: 73; |phi_d(PSL(3,q)_d)| = 504 (|PGL(2,q)| = 504) OK
q=9 PGL(3,q) (sanity)                  order   42456960 expected   42456960  >= M=10368  -> OK
q=9 C2 monomial (q-1)^2:S3             order        384 expected        384  < M=10368  -> OK
q=9 C3 Singer normaliser               order        273 expected        273  < M=10368  -> OK
q=9 C5 subfield PGL(3,3)               order       5616 expected       5616  < M=10368  -> OK
q=9 C8 SO(3,q) = Sym^2 PGL(2,q)        order        720 expected        720  < M=10368  -> OK
q=9 C8 PGU(3,3) (random frames)        order       6048 expected       6048  < M=10368  -> OK
q=9 PSL(3,q) order 42456960 (expected 42456960) OK; orbit of point 0: 91; |phi_d(PSL(3,q)_d)| = 720 (|PGL(2,q)| = 720) OK
q=11 PGL(3,q) (sanity)                  order  212427600 expected  212427600  >= M=29040  -> OK
q=11 C2 monomial (q-1)^2:S3             order        600 expected        600  < M=29040  -> OK
q=11 C3 Singer normaliser               order        399 expected        399  < M=29040  -> OK
q=11 C8 SO(3,q) = Sym^2 PGL(2,q)        order       1320 expected       1320  < M=29040  -> OK
q=11 PSL(3,q) order 212427600 (expected 212427600) OK; orbit of point 0: 133; |phi_d(PSL(3,q)_d)| = 1320 (|PGL(2,q)| = 1320) OK
