PGL(3,4): |P| = 60480, k = 21, |Q| = 2880, |T| = 60, M = 240, |P|/M = 252; zuppo generators: 7597  [1s]
  processed 100/100 classes, closures 27391, t=356s
conjugacy classes of subgroups: 100; subgroups in total: 81220  [357s]
RESULT PGL(3,4): M = 240, M_G (max order of a good subgroup, over all 100 classes) = 240, strict = False
classes of order >= M = 240  (order, number of conjugates, good?, [(orbit length, |S_d|, |phi-image of S_d|, fixes a non-identity element of T_d?), ...]):
  |S| =  60480  conjugates =     1  good = False  orbits: [(21, 2880, 60, False)]
  |S| =  20160  conjugates =     1  good = False  orbits: [(21, 960, 60, False)]
  |S| =   2880  conjugates =    21  good = False  orbits: [(1, 2880, 60, False), (20, 144, 12, False)]
  |S| =   2880  conjugates =    21  good = False  orbits: [(5, 576, 12, False), (16, 180, 60, False)]
  |S| =    960  conjugates =    21  good = False  orbits: [(5, 192, 12, False), (16, 60, 60, False)]
  |S| =    960  conjugates =    21  good = False  orbits: [(1, 960, 60, False), (20, 48, 12, False)]
  |S| =    576  conjugates =   105  good = False  orbits: [(1, 576, 12, False), (4, 144, 12, False), (16, 36, 12, False)]
  |S| =    480  conjugates =   126  good = False  orbits: [(5, 96, 12, False), (16, 30, 10, False)]
  |S| =    480  conjugates =   126  good = False  orbits: [(1, 480, 10, False), (20, 24, 12, False)]
  |S| =    360  conjugates =   168  good = False  orbits: [(6, 60, 60, False), (15, 24, 6, False)]
  |S| =    288  conjugates =   210  good = False  orbits: [(1, 288, 6, False), (8, 36, 12, False), (12, 24, 12, False)]
  |S| =    288  conjugates =   210  good = False  orbits: [(2, 144, 12, False), (3, 96, 12, False), (16, 18, 6, False)]
  |S| =    240  conjugates =   126  good = True   orbits: [(5, 48, 12, False), (16, 15, 5, True)]
  |S| =    240  conjugates =   126  good = True   orbits: [(1, 240, 5, True), (20, 12, 12, False)]
orders of the normal subgroups of P: [1, 20160, 60480]
classes of maximal subgroups of P (order, number of conjugates): [(20160, 1), (2880, 21), (2880, 21), (216, 280), (63, 960)]
number of classes by goodness and order range:
  good classes with |S| > M : 0
  good classes with |S| = M : 2
  all classes with |S| > M  : 12
done [359s]
