q= 4 c_q brute=5 formula=5 | M=240 | MinSubDeg(H)=|Q|/M=12 | k=21 | k*MSD(H)=|P|/M=252 | subgroups H of GL(2,q): 40 (containing Z: 9, fixing a point: 5, |Hbar|>q^2-1: 1, centralising some t: 5) | violations: none [0.0s]
q= 5 c_q brute=8 formula=8 | M=800 | MinSubDeg(H)=|Q|/M=15 | k=31 | k*MSD(H)=|P|/M=465 | subgroups H of GL(2,q): 190 (containing Z: 30, fixing a point: 6, |Hbar|>q^2-1: 2, centralising some t: 21) | violations: none [0.1s]
q= 7 c_q brute=16 formula=16 | M=4704 | MinSubDeg(H)=|Q|/M=21 | k=57 | k*MSD(H)=|P|/M=1197 | subgroups H of GL(2,q): 530 (containing Z: 51, fixing a point: 35, |Hbar|>q^2-1: 2, centralising some t: 41) | violations: none [0.3s]
q= 8 c_q brute=9 formula=9 | M=4032 | MinSubDeg(H)=|Q|/M=56 | k=73 | k*MSD(H)=|P|/M=4088 | subgroups H of GL(2,q): 246 (containing Z: 12, fixing a point: 6, |Hbar|>q^2-1: 1, centralising some t: 7) | violations: none [0.4s]
q= 9 c_q brute=16 formula=16 | M=10368 | MinSubDeg(H)=|Q|/M=45 | k=91 | k*MSD(H)=|P|/M=4095 | subgroups H of GL(2,q): 1148 (containing Z: 62, fixing a point: 10, |Hbar|>q^2-1: 2, centralising some t: 50) | violations: none [0.9s]
q=11 c_q brute=24 formula=24 | M=29040 | MinSubDeg(H)=|Q|/M=55 | k=133 | k*MSD(H)=|P|/M=7315 | subgroups H of GL(2,q): 1836 (containing Z: 99, fixing a point: 73, |Hbar|>q^2-1: 2, centralising some t: 88) | violations: none [2.5s]
