PGL(3,4): |P| = 60480, k = 21, |Q| = 2880, M = 240; mode all; part 0/1
subgroups of Q up to Q-conjugacy: 84 classes, 4364 subgroups (1s)
subgroups R to treat (|R|*k >= M): 60
R#11: |R| = 12, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 2340, family 30, closures 492, members of order >= M: {240: 6}  (0.3s)
R#13: |R| = 24, |phibar(R)| = 6, not good, Q-conjugates 120, |A| = 480, family 3, closures 73, members of order >= M: {360: 1}  (0.1s)
R#14: |R| = 160, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 6, members of order >= M: {}  (0.0s)
R#15: |R| = 24, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 1224, family 6, closures 85, members of order >= M: {288: 2, 480: 2}  (0.1s)
R#16: |R| = 12, |phibar(R)| = 12, not good, Q-conjugates 80, |A| = 684, family 12, closures 275, members of order >= M: {}  (0.2s)
R#17: |R| = 18, |phibar(R)| = 6, not good, Q-conjugates 160, |A| = 468, family 4, closures 113, members of order >= M: {288: 1}  (0.1s)
R#18: |R| = 12, |phibar(R)| = 12, not good, Q-conjugates 80, |A| = 336, family 7, closures 236, members of order >= M: {}  (0.2s)
R#19: |R| = 12, |phibar(R)| = 12, not good, Q-conjugates 240, |A| = 204, family 4, closures 227, members of order >= M: {}  (0.1s)
R#20: |R| = 60, |phibar(R)| = 60, not good, Q-conjugates 16, |A| = 900, family 2, closures 18, members of order >= M: {960: 1}  (0.0s)
R#21: |R| = 60, |phibar(R)| = 60, not good, Q-conjugates 48, |A| = 300, family 2, closures 18, members of order >= M: {360: 1}  (0.0s)
R#22: |R| = 180, |phibar(R)| = 60, not good, Q-conjugates 16, |A| = 2700, family 2, closures 7, members of order >= M: {2880: 1}  (0.0s)
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#29: |R| = 24, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 384, family 3, closures 65, members of order >= M: {}  (0.1s)
R#31: |R| = 96, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 11, members of order >= M: {}  (0.0s)
R#32: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 0, family 1, closures 17, members of order >= M: {}  (0.0s)
R#33: |R| = 96, |phibar(R)| = 12, not good, Q-conjugates 15, |A| = 1152, family 5, closures 24, members of order >= M: {288: 2, 480: 2}  (0.0s)
R#34: |R| = 288, |phibar(R)| = 6, not good, Q-conjugates 10, |A| = 0, family 1, closures 3, members of order >= M: {288: 1}  (0.0s)
R#35: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 60, |A| = 0, family 1, closures 19, members of order >= M: {}  (0.0s)
R#36: |R| = 960, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 19200, family 2, closures 3, members of order >= M: {960: 1, 20160: 1}  (0.0s)
R#37: |R| = 2880, |phibar(R)| = 60, not good, Q-conjugates 1, |A| = 57600, family 2, closures 2, members of order >= M: {2880: 1, 60480: 1}  (0.0s)
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#42: |R| = 36, |phibar(R)| = 12, not good, Q-conjugates 80, |A| = 684, family 4, closures 45, members of order >= M: {288: 1, 576: 1}  (0.0s)
R#43: |R| = 12, |phibar(R)| = 3, good, Q-conjugates 80, |A| = 48, family 2, closures 215, members of order >= M: {}  (0.1s)
R#44: |R| = 144, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 2880, family 4, closures 17, members of order >= M: {288: 1, 576: 1, 2880: 1}  (0.1s)
R#46: |R| = 576, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 2304, family 2, closures 4, members of order >= M: {576: 1, 2880: 1}  (0.0s)
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#59: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 5, 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#61: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 768, family 2, closures 8, members of order >= M: {960: 1}  (0.0s)
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: {}  (0.1s)
R#64: |R| = 30, |phibar(R)| = 10, not good, Q-conjugates 96, |A| = 450, family 2, closures 40, members of order >= M: {480: 1}  (0.0s)
R#65: |R| = 480, |phibar(R)| = 10, not good, Q-conjugates 6, |A| = 0, family 1, closures 1, members of order >= M: {480: 1}  (0.0s)
R#67: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 144, family 2, closures 27, members of order >= M: {}  (0.0s)
R#68: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 2304, family 29, closures 270, members of order >= M: {240: 6}  (0.2s)
R#69: |R| = 48, |phibar(R)| = 12, not good, Q-conjugates 20, |A| = 960, family 4, closures 35, members of order >= M: {960: 1}  (0.1s)
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#74: |R| = 192, |phibar(R)| = 12, not good, Q-conjugates 5, |A| = 0, family 1, closures 5, 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: {}  (0.2s)
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 all part 0/1:
  subgroups S with |S| >= M, by order (all conjugates counted): {240: 252, 288: 420, 360: 168, 480: 252, 576: 105, 960: 42, 2880: 42, 20160: 1, 60480: 1}
  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
  saved 29 subgroups of order > M; every subgroup of P of order > M is conjugate under Q to at least one of them
total time 6s
