PSL(3,5): |P| = 372000, k = 31, |Q| = 12000, M = 800; mode good; part 0/1
subgroups of Q up to Q-conjugacy: 132 classes, 13640 subgroups (7s)
subgroups R to treat (|R|*k >= M, good): 30
R#12: |R| = 32, |phibar(R)| = 8, good, Q-conjugates 375, |A| = 832, family 3, closures 207, members of order >= M: {800: 1}  (0.3s)
R#20: |R| = 800, |phibar(R)| = 8, good, Q-conjugates 15, |A| = 0, family 1, closures 3, members of order >= M: {800: 1}  (0.1s)
R#23: |R| = 200, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 15, members of order >= M: {}  (0.1s)
R#31: |R| = 40, |phibar(R)| = 2, good, Q-conjugates 150, |A| = 0, family 1, closures 135, members of order >= M: {}  (0.2s)
R#41: |R| = 50, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 0, family 1, closures 81, members of order >= M: {}  (0.2s)
R#53: |R| = 40, |phibar(R)| = 4, good, Q-conjugates 150, |A| = 200, family 2, closures 137, members of order >= M: {}  (0.3s)
R#55: |R| = 400, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.1s)
R#63: |R| = 200, |phibar(R)| = 2, good, Q-conjugates 10, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.1s)
R#69: |R| = 600, |phibar(R)| = 6, good, Q-conjugates 10, |A| = 0, family 1, closures 1, members of order >= M: {}  (0.1s)
R#70: |R| = 100, |phibar(R)| = 4, good, Q-conjugates 30, |A| = 0, family 1, closures 23, members of order >= M: {}  (0.1s)
R#79: |R| = 400, |phibar(R)| = 4, good, Q-conjugates 15, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.1s)
R#80: |R| = 80, |phibar(R)| = 4, good, Q-conjugates 150, |A| = 400, family 2, closures 46, members of order >= M: {}  (0.1s)
R#83: |R| = 40, |phibar(R)| = 4, good, Q-conjugates 150, |A| = 0, family 1, closures 144, members of order >= M: {}  (0.2s)
R#84: |R| = 200, |phibar(R)| = 4, good, Q-conjugates 30, |A| = 0, family 1, closures 11, members of order >= M: {}  (0.1s)
R#87: |R| = 100, |phibar(R)| = 4, good, Q-conjugates 30, |A| = 0, family 1, closures 24, members of order >= M: {}  (0.1s)
R#89: |R| = 100, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 21, members of order >= M: {}  (0.1s)
R#94: |R| = 200, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.1s)
R#102: |R| = 200, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 10, members of order >= M: {}  (0.1s)
R#103: |R| = 125, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 36, members of order >= M: {}  (0.1s)
R#106: |R| = 100, |phibar(R)| = 5, good, Q-conjugates 30, |A| = 400, family 2, closures 36, members of order >= M: {}  (0.1s)
R#108: |R| = 50, |phibar(R)| = 5, good, Q-conjugates 30, |A| = 400, family 4, closures 141, members of order >= M: {}  (0.2s)
R#110: |R| = 500, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.1s)
R#111: |R| = 250, |phibar(R)| = 5, good, Q-conjugates 6, |A| = 0, family 1, closures 10, members of order >= M: {}  (0.1s)
R#112: |R| = 75, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 36, members of order >= M: {}  (0.1s)
R#114: |R| = 300, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.1s)
R#116: |R| = 150, |phibar(R)| = 3, good, Q-conjugates 10, |A| = 0, family 1, closures 10, members of order >= M: {}  (0.1s)
R#121: |R| = 400, |phibar(R)| = 4, good, Q-conjugates 5, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.1s)
R#129: |R| = 100, |phibar(R)| = 2, good, Q-conjugates 15, |A| = 0, family 1, closures 36, members of order >= M: {}  (0.1s)
R#130: |R| = 100, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 21, members of order >= M: {}  (0.1s)
R#131: |R| = 50, |phibar(R)| = 1, good, Q-conjugates 1, |A| = 0, family 1, closures 78, members of order >= M: {}  (0.2s)

TOTALS PSL(3,5) mode good part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {800: 390}
  of these, good at the base point: {800: 390}
  largest order of a subgroup good at the base point found: 800  (M = 800)
  good subgroups of order > M: 0
total time 11s
