== genus 9: 4 actions, |G| should be 128
  G_1: order 128 (G.order() 128), gen orders [2, 4, 8], relators ok True, rho(K)=K True [census: Action is reflexible [m]], |F/<<R>>| = 24 -> not normal  (0.7s)
  G_2: order 128 (G.order() 128), gen orders [2, 4, 8], relators ok True, rho(K)=K True [census: Action is reflexible [m]], |F/<<R>>| = 24 -> not normal  (0.5s)
  G_3: order 128 (G.order() 128), gen orders [2, 4, 8], relators ok True, rho(K)=K True [census: Action is reflexible [m]], |F/<<R>>| = 192 -> not normal  (1.4s)
  G_4: order 128 (G.order() 128), gen orders [2, 4, 8], relators ok True, rho(K)=K True [census: Action is reflexible [m]], |F/<<R>>| = 24 -> not normal  (1.1s)
  distinctness check done (no '!!' line means K_i != K_j and K_i != rho(K_j) for all i != j)
  G_1: {'order_counts': {1: 1, 2: 19, 4: 60, 8: 48}, 'center': 2, 'lcs_sizes': [128, 16, 8, 4, 2, 1], 'class': 5, 'exponent': 8, 'abel_order': 8, 'abel_order_counts_x|D|': {1: 1, 2: 3, 4: 4}, 'conj_classes': 17}; smooth generating pairs 256, Aut-orbits 1, |Aut| = 256
  G_2: {'order_counts': {1: 1, 2: 27, 4: 52, 8: 48}, 'center': 2, 'lcs_sizes': [128, 16, 8, 4, 2, 1], 'class': 5, 'exponent': 8, 'abel_order': 8, 'abel_order_counts_x|D|': {1: 1, 2: 3, 4: 4}, 'conj_classes': 17}; smooth generating pairs 256, Aut-orbits 1, |Aut| = 256
  G_3: {'order_counts': {1: 1, 2: 31, 4: 64, 8: 32}, 'center': 4, 'lcs_sizes': [128, 16, 8, 2, 1], 'class': 4, 'exponent': 8, 'abel_order': 8, 'abel_order_counts_x|D|': {1: 1, 2: 3, 4: 4}, 'conj_classes': 23}; smooth generating pairs 512, Aut-orbits 1, |Aut| = 512
  G_4: {'order_counts': {1: 1, 2: 27, 4: 52, 8: 48}, 'center': 2, 'lcs_sizes': [128, 16, 8, 4, 2, 1], 'class': 5, 'exponent': 8, 'abel_order': 8, 'abel_order_counts_x|D|': {1: 1, 2: 3, 4: 4}, 'conj_classes': 14}; smooth generating pairs 512, Aut-orbits 1, |Aut| = 512
  G_1 vs G_2: canonical tables shared: 0 -> non-isomorphic
  G_1 vs G_3: canonical tables shared: 0 -> non-isomorphic
  G_1 vs G_4: canonical tables shared: 0 -> non-isomorphic
  G_2 vs G_3: canonical tables shared: 0 -> non-isomorphic
  G_2 vs G_4: canonical tables shared: 0 -> non-isomorphic
  G_3 vs G_4: canonical tables shared: 0 -> non-isomorphic
