PSL(3,4): |P| = 20160, k = 21, |Q| = 960, M = 80; mode good; part 0/1
subgroups of Q up to Q-conjugacy: 77 classes, 2331 subgroups (1s)
subgroups R to treat (|R|*k >= M, good): 52
R#2: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 128, family 5, closures 650, members of order >= M: {}  (0.2s)
R#3: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 128, family 5, closures 650, members of order >= M: {}  (0.2s)
R#4: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 128, family 5, closures 650, members of order >= M: {}  (0.2s)
R#6: |R| = 5, |phibar(R)| = 5, good, Q-conjugates 96, |A| = 75, family 2, closures 409, members of order >= M: {80: 1}  (0.2s)
R#8: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 60, |A| = 32, family 3, closures 178, members of order >= M: {}  (0.1s)
R#9: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 60, |A| = 32, family 3, closures 178, members of order >= M: {}  (0.1s)
R#10: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 60, |A| = 32, family 3, closures 178, members of order >= M: {}  (0.1s)
R#13: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 560, family 25, closures 976, members of order >= M: {}  (0.5s)
R#16: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 560, family 25, closures 976, members of order >= M: {}  (0.5s)
R#18: |R| = 4, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 560, family 25, closures 976, members of order >= M: {}  (0.5s)
R#28: |R| = 4, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 1488, family 81, closures 2483, members of order >= M: {80: 6}  (1.4s)
R#29: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 51, members of order >= M: {}  (0.0s)
R#30: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 51, members of order >= M: {}  (0.0s)
R#31: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 51, members of order >= M: {}  (0.0s)
R#32: |R| = 4, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 216, family 19, closures 805, members of order >= M: {}  (0.3s)
R#33: |R| = 4, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 216, family 19, closures 805, members of order >= M: {}  (0.3s)
R#34: |R| = 4, |phibar(R)| = 4, good, Q-conjugates 20, |A| = 216, family 19, closures 805, members of order >= M: {}  (0.3s)
R#35: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#36: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#37: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 165, members of order >= M: {}  (0.1s)
R#41: |R| = 8, |phibar(R)| = 4, good, Q-conjugates 60, |A| = 128, family 3, closures 169, members of order >= M: {}  (0.1s)
R#42: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#43: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#44: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 165, members of order >= M: {}  (0.1s)
R#46: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#47: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 165, members of order >= M: {}  (0.1s)
R#49: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#50: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 40, |A| = 96, family 3, closures 82, members of order >= M: {}  (0.0s)
R#51: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 40, |A| = 96, family 3, closures 82, members of order >= M: {}  (0.0s)
R#52: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 40, |A| = 96, family 3, closures 82, members of order >= M: {}  (0.0s)
R#53: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 48, family 2, closures 79, members of order >= M: {}  (0.0s)
R#54: |R| = 80, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 3, members of order >= M: {80: 1}  (0.0s)
R#55: |R| = 4, |phibar(R)| = 1, good, Q-conjugates 5, |A| = 0, family 1, closures 630, members of order >= M: {}  (0.2s)
R#56: |R| = 4, |phibar(R)| = 1, good, Q-conjugates 10, |A| = 0, family 1, closures 630, members of order >= M: {}  (0.2s)
R#57: |R| = 4, |phibar(R)| = 1, good, Q-conjugates 10, |A| = 0, family 1, closures 630, members of order >= M: {}  (0.2s)
R#58: |R| = 4, |phibar(R)| = 1, good, Q-conjugates 10, |A| = 0, family 1, closures 630, members of order >= M: {}  (0.2s)
R#59: |R| = 32, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 18, members of order >= M: {}  (0.0s)
R#60: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 55, members of order >= M: {}  (0.0s)
R#62: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 384, family 5, closures 34, members of order >= M: {96: 2, 160: 2}  (0.0s)
R#63: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 16, members of order >= M: {}  (0.0s)
R#64: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 55, members of order >= M: {}  (0.0s)
R#65: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 16, members of order >= M: {}  (0.0s)
R#66: |R| = 16, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 55, members of order >= M: {}  (0.0s)
R#67: |R| = 32, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 16, members of order >= M: {}  (0.0s)
R#68: |R| = 8, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 186, members of order >= M: {}  (0.1s)
R#70: |R| = 8, |phibar(R)| = 4, good, Q-conjugates 60, |A| = 432, family 15, closures 266, members of order >= M: {96: 2, 160: 2}  (0.2s)
R#71: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)
R#72: |R| = 48, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 8, members of order >= M: {}  (0.0s)
R#73: |R| = 8, |phibar(R)| = 1, good, Q-conjugates 15, |A| = 0, family 1, closures 165, members of order >= M: {}  (0.1s)
R#74: |R| = 64, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 9, members of order >= M: {}  (0.0s)
R#75: |R| = 16, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 768, family 29, closures 298, members of order >= M: {80: 6}  (0.2s)
R#76: |R| = 16, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 45, members of order >= M: {}  (0.0s)

TOTALS PSL(3,4) mode good part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {80: 252, 96: 150, 160: 150}
  of these, good at the base point: {80: 252, 96: 150, 160: 150}
  largest order of a subgroup good at the base point found: 160  (M = 80)
  good subgroups of order > M: 300
total time 8s
