A6 group order 360 (expected 360) degree 6 0.0s
elements of order 3: 80  involutions: 45
classes of elements of order 3 (rep index, size): [(1, 40), (15, 40)]
  class rep 1 : involutions X with (AX)^3 = 1: 9
  class rep 15 : involutions X with (AX)^3 = 1: 9
pairs (a,b) tested: 160 | C-role solvable: 36 | C and F: 36 | C and D (a homomorphism of J): 0 | all four roles (K): 0
examples (indices of a, b): {'CF': (1, 15)}
time 0.0s
L27 group order 168 (expected 168) degree 8 0.0s
elements of order 3: 56  involutions: 21
classes of elements of order 3 (rep index, size): [(129, 56)]
  class rep 129 : involutions X with (AX)^3 = 1: 6
pairs (a,b) tested: 56 | C-role solvable: 12 | C and F: 6 | C and D (a homomorphism of J): 0 | all four roles (K): 0
examples (indices of a, b): {'CF': (129, 13)}
time 0.0s
U35 group order 126000 (expected 126000) degree 126 0.5s
elements of order 3: 3500  involutions: 525
classes of elements of order 3 (rep index, size): [(81920, 3500)]
  class rep 81920 : involutions X with (AX)^3 = 1: 36
pairs (a,b) tested: 3500 | C-role solvable: 504 | C and F: 432 | C and D (a homomorphism of J): 0 | all four roles (K): 0
examples (indices of a, b): {'CF': (81920, 727)}
time 1.5s
