PSL(3,5): |P| = 372000, k = 31, |Q| = 12000, M = 800; mode all; part 0/1
subgroups of Q up to Q-conjugacy: 132 classes, 13640 subgroups (7s)
subgroups R to treat (|R|*k >= M): 78
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#13: |R| = 40, |phibar(R)| = 20, not good, Q-conjugates 150, |A| = 4560, family 12, closures 207, members of order >= M: {800: 2, 1000: 1, 1200: 3}  (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#21: |R| = 200, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 5800, family 3, closures 21, members of order >= M: {1000: 1, 6000: 1}  (0.1s)
R#22: |R| = 500, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 0, family 1, closures 6, members of order >= M: {}  (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#24: |R| = 50, |phibar(R)| = 10, not good, Q-conjugates 120, |A| = 0, family 1, closures 81, members of order >= M: {}  (0.2s)
R#25: |R| = 50, |phibar(R)| = 10, not good, Q-conjugates 30, |A| = 400, family 4, closures 144, members of order >= M: {}  (0.2s)
R#26: |R| = 150, |phibar(R)| = 6, not good, Q-conjugates 20, |A| = 0, family 1, closures 13, members of order >= M: {}  (0.1s)
R#27: |R| = 40, |phibar(R)| = 20, not good, Q-conjugates 150, |A| = 960, family 3, closures 152, members of order >= M: {1000: 1}  (0.2s)
R#28: |R| = 1000, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 5000, family 2, closures 5, members of order >= M: {1000: 1, 6000: 1}  (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#32: |R| = 240, |phibar(R)| = 60, not good, Q-conjugates 25, |A| = 5760, family 2, closures 13, members of order >= M: {6000: 1}  (0.1s)
R#33: |R| = 6000, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 0, family 1, closures 1, members of order >= M: {6000: 1}  (0.1s)
R#35: |R| = 100, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 1400, family 7, closures 76, members of order >= M: {}  (0.2s)
R#37: |R| = 250, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 13, members of order >= M: {}  (0.1s)
R#41: |R| = 50, |phibar(R)| = 2, good, Q-conjugates 30, |A| = 0, family 1, closures 81, members of order >= M: {}  (0.2s)
R#42: |R| = 480, |phibar(R)| = 120, not good, Q-conjugates 25, |A| = 11520, family 2, closures 8, members of order >= M: {12000: 1}  (0.1s)
R#46: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 125, |A| = 1152, family 2, closures 91, members of order >= M: {1200: 1}  (0.2s)
R#47: |R| = 1200, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 1, members of order >= M: {1200: 1}  (0.1s)
R#48: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 250, |A| = 1152, family 2, closures 91, members of order >= M: {1200: 1}  (0.2s)
R#49: |R| = 1200, |phibar(R)| = 12, not good, Q-conjugates 10, |A| = 0, family 1, closures 1, members of order >= M: {1200: 1}  (0.1s)
R#50: |R| = 40, |phibar(R)| = 10, not good, Q-conjugates 150, |A| = 960, family 3, closures 143, members of order >= M: {1000: 1}  (0.2s)
R#51: |R| = 1000, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 3, members of order >= M: {1000: 1}  (0.1s)
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#56: |R| = 200, |phibar(R)| = 10, not good, Q-conjugates 30, |A| = 800, family 2, closures 19, members of order >= M: {1000: 1}  (0.1s)
R#58: |R| = 12000, |phibar(R)| = 120, not good, Q-conjugates 1, |A| = 360000, family 2, closures 2, members of order >= M: {12000: 1, 372000: 1}  (0.3s)
R#60: |R| = 600, |phibar(R)| = 6, not good, Q-conjugates 10, |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#64: |R| = 96, |phibar(R)| = 24, not good, Q-conjugates 125, |A| = 2304, family 2, closures 29, members of order >= M: {2400: 1}  (0.1s)
R#65: |R| = 2400, |phibar(R)| = 24, not good, Q-conjugates 5, |A| = 0, family 1, closures 1, members of order >= M: {2400: 1}  (0.1s)
R#67: |R| = 600, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 1, 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#71: |R| = 80, |phibar(R)| = 20, not good, Q-conjugates 150, |A| = 3920, family 5, closures 59, members of order >= M: {800: 1, 2000: 1, 2400: 1}  (0.2s)
R#72: |R| = 2000, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 10000, family 2, closures 4, members of order >= M: {2000: 1, 12000: 1}  (0.1s)
R#74: |R| = 100, |phibar(R)| = 20, not good, Q-conjugates 120, |A| = 0, family 1, closures 23, members of order >= M: {}  (0.1s)
R#75: |R| = 100, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 2900, family 3, closures 39, members of order >= M: {3000: 1}  (0.1s)
R#76: |R| = 200, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 4400, family 11, closures 73, members of order >= M: {800: 2, 1000: 1, 1200: 3}  (0.2s)
R#77: |R| = 400, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 13600, family 5, closures 22, members of order >= M: {800: 1, 2000: 1, 2400: 1, 12000: 1}  (0.4s)
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#81: |R| = 500, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 2500, family 2, closures 6, members of order >= M: {3000: 1}  (0.1s)
R#82: |R| = 1000, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 0, family 1, closures 4, members of order >= M: {1000: 1}  (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#85: |R| = 100, |phibar(R)| = 20, not good, Q-conjugates 30, |A| = 400, family 2, closures 39, members of order >= M: {}  (0.1s)
R#86: |R| = 500, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 0, family 1, closures 6, 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#90: |R| = 120, |phibar(R)| = 60, not good, Q-conjugates 25, |A| = 2880, family 2, closures 26, members of order >= M: {3000: 1}  (0.1s)
R#91: |R| = 3000, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 0, family 1, closures 1, members of order >= M: {3000: 1}  (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#96: |R| = 500, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.1s)
R#98: |R| = 300, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 3, members of order >= M: {}  (0.1s)
R#99: |R| = 100, |phibar(R)| = 10, not good, Q-conjugates 30, |A| = 400, family 2, closures 36, members of order >= M: {}  (0.1s)
R#101: |R| = 600, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 1, 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#122: |R| = 250, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 13, members of order >= M: {}  (0.1s)
R#123: |R| = 500, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 0, family 1, closures 5, members of order >= M: {}  (0.1s)
R#124: |R| = 500, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 10, members of order >= M: {}  (0.1s)
R#125: |R| = 300, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 10, members of order >= M: {}  (0.1s)
R#126: |R| = 100, |phibar(R)| = 20, not good, Q-conjugates 6, |A| = 10000, family 76, closures 944, members of order >= M: {}  (1.3s)
R#127: |R| = 50, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 5000, family 56, closures 1321, members of order >= M: {}  (1.4s)
R#128: |R| = 100, |phibar(R)| = 10, not good, Q-conjugates 30, |A| = 1000, family 6, closures 85, members of order >= M: {}  (0.2s)
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 all part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {800: 930, 1000: 558, 1200: 930, 2000: 186, 2400: 310, 3000: 62, 6000: 62, 12000: 62, 372000: 1}
  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
  saved 39 subgroups of order > M; every subgroup of P of order > M is conjugate under Q to at least one of them
total time 21s
