# verifier B parabolic enumeration: q=9 type=m M=10368 threshold=10368 all_points=True
# q=9 type=m thr=10368: SL(2,q) subgroup classes (GL-conj) = 20 [0.1s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 128.00: 19 (with possible repetitions) [0.2s]
X    1 |H0|=48 |H|=192 |N|=81 H1=3^0 cls=0 |X|=15552 good=False sig=(4,3888,72) (6,2592,72) (81,192,24)
X    2 |H0|=120 |H|=240 |N|=81 H1=3^0 cls=0 |X|=19440 good=False sig=(10,1944,36) (81,240,60)
X    3 |H0|=120 |H|=480 |N|=81 H1=3^0 cls=0 |X|=38880 good=False sig=(10,3888,72) (81,480,60)
X    4 |H0|=20 |H|=160 |N|=81 H1=3^0 cls=0 |X|=12960 good=False sig=(10,1296,72) (81,160,20)
X    5 |H0|=72 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,72) (81,144,36)
X    6 |H0|=72 |H|=288 |N|=81 H1=3^0 cls=0 |X|=23328 good=False sig=(1,23328,72) (9,2592,72) (81,288,36)
X    7 |H0|=72 |H|=576 |N|=81 H1=3^0 cls=0 |X|=46656 good=False sig=(1,46656,72) (9,5184,72) (81,576,72)
X    8 |H0|=720 |H|=1440 |N|=81 H1=3^0 cls=0 |X|=116640 good=False sig=(10,11664,72) (81,1440,360)
X    9 |H0|=720 |H|=720 |N|=81 H1=3^0 cls=0 |X|=58320 good=False sig=(10,5832,72) (81,720,360)
X   10 |H0|=720 |H|=2880 |N|=81 H1=3^0 cls=0 |X|=233280 good=False sig=(10,23328,72) (81,2880,360)
X   11 |H0|=720 |H|=5760 |N|=81 H1=3^0 cls=0 |X|=466560 good=False sig=(10,46656,72) (81,5760,720)
X   12 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,18) (9,1296,72) (81,144,72)
X   13 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,36) (9,1296,72) (81,144,72)
X   14 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,18) (81,144,72)
X   15 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,36) (81,144,72)
X   16 |H0|=36 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,36) (9,1296,36) (81,144,36)
X   17 |H0|=36 |H|=288 |N|=81 H1=3^0 cls=0 |X|=23328 good=False sig=(1,23328,36) (9,2592,72) (81,288,72)
X   18 |H0|=36 |H|=288 |N|=81 H1=3^0 cls=0 |X|=23328 good=False sig=(1,23328,72) (9,2592,36) (81,288,72)
X   19 |H0|=36 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,72) (81,144,18)
# q=9 type=m thr=10368: tested 19 subgroups X (|X| > thr), good: 0 [8.2s]
# distinct (order, orbit signature) pairs: 19
SIG |X|=466560 count=1 (10,46656,72) (81,5760,720)
SIG |X|=233280 count=1 (10,23328,72) (81,2880,360)
SIG |X|=116640 count=1 (10,11664,72) (81,1440,360)
SIG |X|=58320 count=1 (10,5832,72) (81,720,360)
SIG |X|=46656 count=1 (1,46656,72) (9,5184,72) (81,576,72)
SIG |X|=38880 count=1 (10,3888,72) (81,480,60)
SIG |X|=23328 count=1 (1,23328,72) (9,2592,72) (81,288,36)
SIG |X|=23328 count=1 (1,23328,36) (9,2592,72) (81,288,72)
SIG |X|=23328 count=1 (1,23328,72) (9,2592,36) (81,288,72)
SIG |X|=19440 count=1 (10,1944,36) (81,240,60)
SIG |X|=15552 count=1 (4,3888,72) (6,2592,72) (81,192,24)
SIG |X|=12960 count=1 (10,1296,72) (81,160,20)
SIG |X|=11664 count=1 (1,11664,72) (9,1296,72) (81,144,36)
SIG |X|=11664 count=1 (1,11664,18) (9,1296,72) (81,144,72)
SIG |X|=11664 count=1 (1,11664,36) (9,1296,72) (81,144,72)
SIG |X|=11664 count=1 (1,11664,72) (9,1296,18) (81,144,72)
SIG |X|=11664 count=1 (1,11664,72) (9,1296,36) (81,144,72)
SIG |X|=11664 count=1 (1,11664,36) (9,1296,36) (81,144,36)
SIG |X|=11664 count=1 (1,11664,72) (9,1296,72) (81,144,18)
# SUMMARY q=9 type=m threshold=10368 tested=19 good=0
