group PSIGMAL(3,4): 40320 elements on 21 points; built in 0.1s
element list is a group (closed, generated by 6 random elements): True
element orders: {1: 1, 2: 435, 3: 2240, 4: 6300, 5: 8064, 6: 6720, 7: 5760, 8: 5040, 14: 5760}
|Q| = 1920, index 21; |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| = 16; orders in the kernel: {1: 1, 2: 15}
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 20 (2-transitive iff 20 )
|Q_t| by order of t: {2: [128], 3: [96], 5: [80]}  M = 128  |P|/M = 315  = k * MinSubDeg(H) with k = 21 , MinSubDeg(H) = |Q|/M = 15
orbit lengths of phi(Q) on T minus 1 (non-trivial subdegrees of H): [15, 20, 24]
total time 0.4s
