# verifier B parabolic enumeration: q=9 type=m M=10368 threshold=5184.0 all_points=False
# q=9 type=m thr=5184.0: SL(2,q) subgroup classes (GL-conj) = 20 [0.1s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 64.00: 42 (with possible repetitions) [0.2s]
X    1 |H0|=10 |H|=80 |N|=81 H1=3^0 cls=0 |X|=6480 good=True sig=(10,648,72) (81,80,10*)
X    2 |H0|=10 |H|=80 |N|=81 H1=3^0 cls=0 |X|=6480 good=False sig=(10,648,72) (81,80,10)
X    3 |H0|=24 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(4,1944,72) (6,1296,36) (81,96,24)
X    4 |H0|=24 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(4,1944,72) (6,1296,72) (81,96,12)
X    5 |H0|=48 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(4,1944,36) (6,1296,72) (81,96,24)
X    6 |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    7 |H0|=120 |H|=240 |N|=81 H1=3^0 cls=0 |X|=19440 good=False sig=(10,1944,36) (81,240,60)
X    8 |H0|=120 |H|=120 |N|=81 H1=3^0 cls=0 |X|=9720 good=False sig=(10,972,36) (81,120,60)
X    9 |H0|=120 |H|=480 |N|=81 H1=3^0 cls=0 |X|=38880 good=False sig=(10,3888,72) (81,480,60)
X   10 |H0|=16 |H|=128 |N|=81 H1=3^0 cls=0 |X|=10368 good=True sig=(2,5184,72) (8,1296,72) (81,128,16*)
X   11 |H0|=20 |H|=80 |N|=81 H1=3^0 cls=0 |X|=6480 good=False sig=(5,1296,72) (5,1296,72) (81,80,10)
X   12 |H0|=20 |H|=160 |N|=81 H1=3^0 cls=0 |X|=12960 good=False sig=(10,1296,72) (81,160,20)
X   13 |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   14 |H0|=72 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,36)
X   15 |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   16 |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   17 |H0|=720 |H|=1440 |N|=81 H1=3^0 cls=0 |X|=116640 good=False sig=(10,11664,72) (81,1440,360)
X   18 |H0|=720 |H|=720 |N|=81 H1=3^0 cls=0 |X|=58320 good=False sig=(10,5832,72) (81,720,360)
X   19 |H0|=720 |H|=2880 |N|=81 H1=3^0 cls=0 |X|=233280 good=False sig=(10,23328,72) (81,2880,360)
X   20 |H0|=720 |H|=5760 |N|=1 H1=3^0 cls=0 |X|=5760 good=True sig=(1,5760,720) (10,576,8*) (80,72,72)
X   21 |H0|=720 |H|=5760 |N|=81 H1=3^0 cls=0 |X|=466560 good=False sig=(10,46656,72) (81,5760,720)
X   22 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,18) (9,648,36) (81,72,36)
X   23 |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   24 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,18) (81,72,36)
X   25 |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   26 |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   27 |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   28 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,18)
X   29 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=True sig=(1,5832,72) (9,648,72) (81,72,9*)
X   30 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=True sig=(1,5832,9*) (9,648,72) (81,72,72)
X   31 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,18) (9,648,72) (81,72,72)
X   32 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,72) (81,72,72)
X   33 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,72) (81,72,72)
X   34 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,18) (81,72,72)
X   35 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=True sig=(1,5832,72) (9,648,9*) (81,72,72)
X   36 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,36) (81,72,72)
X   37 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,36) (81,72,72)
X   38 |H0|=36 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,36) (81,72,18)
X   39 |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   40 |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   41 |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   42 |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)
X   43 |H0|=36 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,36)
# q=9 type=m thr=5184.0: tested 43 subgroups X (|X| > thr), good: 6 [1.5s]
# distinct (order, orbit signature) pairs: 40
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)
SIG |X|=10368 count=1 (2,5184,72) (8,1296,72) (81,128,16*)
SIG |X|=9720 count=1 (10,972,36) (81,120,60)
SIG |X|=7776 count=1 (4,1944,72) (6,1296,36) (81,96,24)
SIG |X|=7776 count=1 (4,1944,72) (6,1296,72) (81,96,12)
SIG |X|=7776 count=1 (4,1944,36) (6,1296,72) (81,96,24)
SIG |X|=6480 count=1 (10,648,72) (81,80,10*)
SIG |X|=6480 count=1 (10,648,72) (81,80,10)
SIG |X|=6480 count=1 (5,1296,72) (5,1296,72) (81,80,10)
SIG |X|=5832 count=2 (1,5832,72) (9,648,72) (81,72,36)
SIG |X|=5832 count=1 (1,5832,18) (9,648,36) (81,72,36)
SIG |X|=5832 count=1 (1,5832,36) (9,648,18) (81,72,36)
SIG |X|=5832 count=1 (1,5832,72) (9,648,72) (81,72,18)
SIG |X|=5832 count=1 (1,5832,72) (9,648,72) (81,72,9*)
SIG |X|=5832 count=1 (1,5832,9*) (9,648,72) (81,72,72)
SIG |X|=5832 count=1 (1,5832,18) (9,648,72) (81,72,72)
SIG |X|=5832 count=2 (1,5832,36) (9,648,72) (81,72,72)
SIG |X|=5832 count=1 (1,5832,72) (9,648,18) (81,72,72)
SIG |X|=5832 count=1 (1,5832,72) (9,648,9*) (81,72,72)
SIG |X|=5832 count=2 (1,5832,72) (9,648,36) (81,72,72)
SIG |X|=5832 count=1 (1,5832,36) (9,648,36) (81,72,18)
SIG |X|=5760 count=1 (1,5760,720) (10,576,8*) (80,72,72)
# SUMMARY q=9 type=m threshold=5184.0 tested=43 good=6
