PGL(3,4): |P| = 60480, k = 21, |Q| = 2880, M = 240; mode good; part 0/1
subgroups of Q up to Q-conjugacy: 84 classes, 4364 subgroups (1s)
subgroups R to treat (|R|*k >= M, good): 30
R#24: |R| = 24, |phibar(R)| = 2, good, Q-conjugates 60, |A| = 0, family 1, closures 62, members of order >= M: {}  (0.1s)
R#26: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 135, members of order >= M: {}  (0.1s)
R#28: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 45, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)
R#38: |R| = 96, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#40: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)
R#41: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 120, |A| = 96, family 3, closures 218, members of order >= M: {}  (0.1s)
R#43: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 48, family 2, closures 215, members of order >= M: {}  (0.1s)
R#47: |R| = 36, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 144, family 2, closures 37, members of order >= M: {}  (0.0s)
R#48: |R| = 144, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#49: |R| = 80, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#50: |R| = 15, |phibar(R)| = 5, good, Q-conjugates 96, |A| = 225, family 2, closures 137, members of order >= M: {240: 1}  (0.1s)
R#51: |R| = 240, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 1, members of order >= M: {240: 1}  (0.0s)
R#52: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 20, |A| = 0, family 1, closures 230, members of order >= M: {}  (0.1s)
R#53: |R| = 24, |phibar(R)| = 3, good, Q-conjugates 60, |A| = 0, family 1, closures 61, members of order >= M: {}  (0.1s)
R#57: |R| = 12, |phibar(R)| = 1, good, Q-conjugates 20, |A| = 0, family 1, closures 210, members of order >= M: {}  (0.1s)
R#58: |R| = 32, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#60: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 45, |A| = 0, family 1, closures 147, members of order >= M: {}  (0.1s)
R#62: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 384, family 5, closures 70, members of order >= M: {}  (0.1s)
R#63: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 45, |A| = 0, family 1, closures 39, members of order >= M: {}  (0.0s)
R#71: |R| = 12, |phibar(R)| = 4, good, Q-conjugates 80, |A| = 288, family 6, closures 229, members of order >= M: {}  (0.2s)
R#72: |R| = 192, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.0s)
R#73: |R| = 48, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 144, family 2, closures 25, members of order >= M: {}  (0.0s)
R#75: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)
R#76: |R| = 48, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 19, members of order >= M: {}  (0.0s)
R#77: |R| = 48, |phibar(R)| = 3, good, Q-conjugates 20, |A| = 0, family 1, closures 17, members of order >= M: {}  (0.0s)
R#78: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 0, family 1, closures 212, members of order >= M: {}  (0.1s)
R#80: |R| = 48, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 15, members of order >= M: {}  (0.0s)
R#81: |R| = 64, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 21, members of order >= M: {}  (0.0s)
R#82: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 1152, family 41, closures 732, members of order >= M: {}  (0.6s)
R#83: |R| = 16, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 120, members of order >= M: {}  (0.1s)

TOTALS PGL(3,4) mode good part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {240: 102}
  of these, good at the base point: {240: 102}
  largest order of a subgroup good at the base point found: 240  (M = 240)
  good subgroups of order > M: 0
total time 4s
