group PSL(3,5): 372000 elements on 31 points; built in 1.1s
element list is a group (closed, generated by 6 random elements): True
element orders: {1: 1, 2: 775, 3: 15500, 4: 24800, 5: 15624, 6: 15500, 8: 31000, 10: 18600, 12: 31000, 20: 37200, 24: 62000, 31: 120000}
|Q| = 12000, index 31; |phibar(Q)| = 120; |T| = 60
Q closed and phibar(q1 q2) = phibar(q1) phibar(q2) for all pairs in Q x Q: True
|ker phibar| = 100; orders in the kernel: {1: 1, 2: 25, 4: 50, 5: 24}
T closed under multiplication: True
orders in T: {1: 1, 2: 15, 3: 20, 5: 24} ; orders in phibar(Q): {1: 1, 2: 25, 3: 20, 4: 30, 5: 24, 6: 20}
Q-orbit of point 1 has length 30 (2-transitive iff 30 )
|Q_t| by order of t: {2: [800], 3: [600], 5: [500]}  M = 800  |P|/M = 465  = k * MinSubDeg(H) with k = 31 , MinSubDeg(H) = |Q|/M = 15
orbit lengths of phi(Q) on T minus 1 (non-trivial subdegrees of H): [15, 20, 24]
total time 8.0s
