PSL(3,4): |P| = 20160, k = 21, |Q| = 960, |T| = 60, M = 80, |P|/M = 252; zuppo generators: 6301  [0s]
  processed 95/95 classes, closures 39535, t=168s
conjugacy classes of subgroups: 95; subgroups in total: 44877  [169s]
RESULT PSL(3,4): M = 80, M_G (max order of a good subgroup, over all 95 classes) = 160, strict = True
classes of order >= M = 80  (order, number of conjugates, good?, [(orbit length, |S_d|, |phi-image of S_d|, fixes a non-identity element of T_d?), ...]):
  |S| =  20160  conjugates =     1  good = False  orbits: [(21, 960, 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| =    360  conjugates =    56  good = False  orbits: [(6, 60, 60, False), (15, 24, 6, False)]
  |S| =    360  conjugates =    56  good = False  orbits: [(6, 60, 60, False), (15, 24, 6, False)]
  |S| =    360  conjugates =    56  good = False  orbits: [(6, 60, 60, False), (15, 24, 6, False)]
  |S| =    192  conjugates =   105  good = False  orbits: [(1, 192, 12, False), (4, 48, 12, False), (16, 12, 12, False)]
  |S| =    168  conjugates =   120  good = False  orbits: [(7, 24, 6, False), (14, 12, 12, False)]
  |S| =    168  conjugates =   120  good = False  orbits: [(7, 24, 6, False), (14, 12, 12, False)]
  |S| =    168  conjugates =   120  good = False  orbits: [(7, 24, 6, False), (14, 12, 12, False)]
  |S| =    160  conjugates =   126  good = True   orbits: [(5, 32, 4, True), (16, 10, 10, False)]
  |S| =    160  conjugates =   126  good = True   orbits: [(1, 160, 10, False), (20, 8, 4, True)]
  |S| =     96  conjugates =   210  good = True   orbits: [(2, 48, 12, False), (3, 32, 4, True), (16, 6, 6, False)]
  |S| =     96  conjugates =   210  good = True   orbits: [(1, 96, 6, False), (8, 12, 12, False), (12, 8, 4, True)]
  |S| =     80  conjugates =   126  good = True   orbits: [(1, 80, 5, True), (20, 4, 4, True)]
  |S| =     80  conjugates =   126  good = True   orbits: [(5, 16, 4, True), (16, 5, 5, True)]
orders of the normal subgroups of P: [1, 20160]
classes of maximal subgroups of P (order, number of conjugates): [(960, 21), (960, 21), (360, 56), (360, 56), (360, 56), (168, 120), (168, 120), (168, 120), (72, 280)]
number of classes by goodness and order range:
  good classes with |S| > M : 4
  good classes with |S| = M : 2
  all classes with |S| > M  : 14
done [169s]
