PSL(3,5): |P|=372000 |Q|=12000 k=31 |T|=60 |phi(Q)|=120; Q-orbits on T minus 1: 3; |Q_t| = [500, 600, 800]; M = 800; |P|/M = 465
  Q_t of order 800: 118 subgroups R with |R| > M/k = 25.81
  Q_t of order 600: 7 subgroups R with |R| > M/k = 25.81
  Q_t of order 500: 15 subgroups R with |R| > M/k = 25.81
  total distinct R: 136  (time 88.6s)
  ... 50/136 R done, best so far 800, t=91s
  ... 100/136 R done, best so far 800, t=99s
RESULT PSL(3,5): M = 800, M_G = 800, |P|/M = 465, |P|/M_G = 465, strict = False  (time 105.1s)
