[b2_base fix] tables built in 0.2s
class: |S|, number of S-orbits, |Fix_B(S)|, exact stabiliser orders of the (sampled) fixed elements != 1
  |S| =  60480, orbits 1, |Fix_B(S)| = 1: {}
  |S| =  20160, orbits 1, |Fix_B(S)| = 1: {}
  |S| =   2880, orbits 2, |Fix_B(S)| = 1: {}
  |S| =   2880, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    960, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    960, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    576, orbits 3, |Fix_B(S)| = 1: {}
  |S| =    480, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    480, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    360, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    288, orbits 3, |Fix_B(S)| = 1: {}
  |S| =    288, orbits 3, |Fix_B(S)| = 1: {}
  |S| =    240, orbits 2, |Fix_B(S)| = 5: {240: 4}
  |S| =    240, orbits 2, |Fix_B(S)| = 5: {240: 4}
  |S| =    216, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    192, orbits 3, |Fix_B(S)| = 1: {}
  |S| =    192, orbits 3, |Fix_B(S)| = 4: {192: 3}
  |S| =    192, orbits 3, |Fix_B(S)| = 4: {192: 3}
  |S| =    192, orbits 3, |Fix_B(S)| = 4: {192: 3}
  |S| =    180, orbits 3, |Fix_B(S)| = 3: {180: 2}
  |S| =    168, orbits 2, |Fix_B(S)| = 1: {}
  |S| =    160, orbits 2, |Fix_B(S)| = 4: {160: 3}
  |S| =    160, orbits 2, |Fix_B(S)| = 4: {160: 3}
  |S| =    144, orbits 4, |Fix_B(S)| = 3: {144: 2}
  |S| =    144, orbits 4, |Fix_B(S)| = 3: {144: 2}
  |S| =     96, orbits 3, |Fix_B(S)| = 4: {96: 3}
  |S| =     96, orbits 3, |Fix_B(S)| = 4: {96: 3}
  |S| =     96, orbits 4, |Fix_B(S)| = 4: {192: 3}
  |S| =     96, orbits 4, |Fix_B(S)| = 4: {192: 3}
  |S| =     80, orbits 2, |Fix_B(S)| = 20: {240: 4, 160: 3, 80: 12}
  |S| =     80, orbits 2, |Fix_B(S)| = 20: {240: 4, 160: 3, 80: 12}
  |S| =     72, orbits 2, |Fix_B(S)| = 4: {72: 3}
  |S| =     64, orbits 3, |Fix_B(S)| = 64: {192: 9, 64: 54}
  |S| =     63, orbits 1, |Fix_B(S)| = 3: {63: 2}
  |S| =     60, orbits 3, |Fix_B(S)| = 12: {180: 2, 60: 9}
  |S| =     60, orbits 3, |Fix_B(S)| = 4: {60: 3}
  |S| =     60, orbits 3, |Fix_B(S)| = 3: {60: 2}
  |S| =     54, orbits 3, |Fix_B(S)| = 3: {54: 2}
  |S| =     48, orbits 3, |Fix_B(S)| = 3: {48: 2}
  |S| =     48, orbits 3, |Fix_B(S)| = 12: {192: 3, 48: 8}
  |S| =     48, orbits 4, |Fix_B(S)| = 12: {144: 2, 96: 3, 48: 6}
  |S| =     48, orbits 4, |Fix_B(S)| = 12: {144: 2, 96: 3, 48: 6}
  |S| =     48, orbits 6, |Fix_B(S)| = 60: {240: 24, 192: 15, 144: 20}
  |S| =     48, orbits 4, |Fix_B(S)| = 48: {192: 6, 144: 2, 48: 39}
  |S| =     48, orbits 6, |Fix_B(S)| = 60: {240: 24, 192: 15, 144: 20}
  |S| =     48, orbits 4, |Fix_B(S)| = 48: {192: 6, 144: 2, 48: 39}
[PGL(3,4)] FIX total (fixed elements of all 100 classes): 93108 elements; stabiliser orders (order: count) {240: 82, 192: 175, 180: 19, 160: 57, 144: 84, 96: 66, 80: 28, 72: 11, 64: 509, 63: 13, 60: 57, 54: 18} ...; MAX = 240 
largest stabiliser order met: 240
time 34s
