S44 group order 979200 (expected 979200) degree 85 12.1s
elements of order 3: 10880  involutions: 4335
classes of elements of order 3 (rep index, size): [(557059, 5440), (131080, 5440)]
  class rep 557059 : involutions X with (AX)^3 = 1: 171
  class rep 131080 : involutions X with (AX)^3 = 1: 171
pairs (a,b) tested: 21760 | C-role solvable: 360 | C and F: 360 | C and D (a homomorphism of J): 0 | all four roles (K): 0
examples (indices of a, b): {'CF': (557059, 41)}
time 23.0s
