# verifier B parabolic enumeration: q=9 type=x M=10368 threshold=5184.0 all_points=False
# q=9 type=x 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=(1,6480,10*) (90,72,72)
X    2 |H0|=10 |H|=80 |N|=81 H1=3^0 cls=0 |X|=6480 good=False sig=(1,6480,10) (90,72,72)
X    3 |H0|=24 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(1,7776,24) (36,216,72) (54,144,36)
X    4 |H0|=24 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(1,7776,12) (36,216,72) (54,144,72)
X    5 |H0|=48 |H|=96 |N|=81 H1=3^0 cls=0 |X|=7776 good=False sig=(1,7776,24) (36,216,36) (54,144,72)
X    6 |H0|=48 |H|=192 |N|=81 H1=3^0 cls=0 |X|=15552 good=False sig=(1,15552,24) (36,432,72) (54,288,72)
X    7 |H0|=120 |H|=240 |N|=81 H1=3^0 cls=0 |X|=19440 good=False sig=(1,19440,60) (90,216,36)
X    8 |H0|=120 |H|=120 |N|=81 H1=3^0 cls=0 |X|=9720 good=False sig=(1,9720,60) (90,108,36)
X    9 |H0|=120 |H|=480 |N|=81 H1=3^0 cls=0 |X|=38880 good=False sig=(1,38880,60) (90,432,72)
X   10 |H0|=16 |H|=128 |N|=81 H1=3^0 cls=0 |X|=10368 good=True sig=(1,10368,16*) (18,576,72) (72,144,72)
X   11 |H0|=20 |H|=80 |N|=81 H1=3^0 cls=0 |X|=6480 good=False sig=(1,6480,10) (45,144,72) (45,144,72)
X   12 |H0|=20 |H|=160 |N|=81 H1=3^0 cls=0 |X|=12960 good=False sig=(1,12960,20) (90,144,72)
X   13 |H0|=72 |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|=72 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,72) (81,72,72)
X   15 |H0|=72 |H|=288 |N|=81 H1=3^0 cls=0 |X|=23328 good=False sig=(1,23328,36) (9,2592,72) (81,288,72)
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=(1,116640,360) (90,1296,72)
X   18 |H0|=720 |H|=720 |N|=81 H1=3^0 cls=0 |X|=58320 good=False sig=(1,58320,360) (90,648,72)
X   19 |H0|=720 |H|=2880 |N|=81 H1=3^0 cls=0 |X|=233280 good=False sig=(1,233280,360) (90,2592,72)
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=(1,466560,720) (90,5184,72)
X   22 |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   23 |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   24 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,36) (81,72,18)
X   25 |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   26 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,72) (81,144,18)
X   27 |H0|=18 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,72) (9,1296,72) (81,144,36)
X   28 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,18) (9,648,72) (81,72,72)
X   29 |H0|=18 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=True sig=(1,5832,9*) (9,648,72) (81,72,72)
X   30 |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   31 |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   32 |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   33 |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   34 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,18)
X   35 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=True sig=(1,5832,72) (9,648,72) (81,72,9*)
X   36 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,36)
X   37 |H0|=9 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,72) (9,648,72) (81,72,36)
X   38 |H0|=36 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,18) (9,648,36) (81,72,36)
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=(1,23328,72) (9,2592,36) (81,288,72)
X   41 |H0|=36 |H|=288 |N|=81 H1=3^0 cls=0 |X|=23328 good=False sig=(1,23328,72) (9,2592,72) (81,288,36)
X   42 |H0|=36 |H|=144 |N|=81 H1=3^0 cls=0 |X|=11664 good=False sig=(1,11664,18) (9,1296,72) (81,144,72)
X   43 |H0|=36 |H|=72 |N|=81 H1=3^0 cls=0 |X|=5832 good=False sig=(1,5832,36) (9,648,72) (81,72,72)
# q=9 type=x thr=5184.0: tested 43 subgroups X (|X| > thr), good: 6 [1.5s]
# distinct (order, orbit signature) pairs: 40
SIG |X|=466560 count=1 (1,466560,720) (90,5184,72)
SIG |X|=233280 count=1 (1,233280,360) (90,2592,72)
SIG |X|=116640 count=1 (1,116640,360) (90,1296,72)
SIG |X|=58320 count=1 (1,58320,360) (90,648,72)
SIG |X|=46656 count=1 (1,46656,72) (9,5184,72) (81,576,72)
SIG |X|=38880 count=1 (1,38880,60) (90,432,72)
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|=23328 count=1 (1,23328,72) (9,2592,72) (81,288,36)
SIG |X|=19440 count=1 (1,19440,60) (90,216,36)
SIG |X|=15552 count=1 (1,15552,24) (36,432,72) (54,288,72)
SIG |X|=12960 count=1 (1,12960,20) (90,144,72)
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 (1,11664,72) (9,1296,72) (81,144,18)
SIG |X|=11664 count=1 (1,11664,72) (9,1296,72) (81,144,36)
SIG |X|=11664 count=1 (1,11664,36) (9,1296,36) (81,144,36)
SIG |X|=11664 count=1 (1,11664,18) (9,1296,72) (81,144,72)
SIG |X|=10368 count=1 (1,10368,16*) (18,576,72) (72,144,72)
SIG |X|=9720 count=1 (1,9720,60) (90,108,36)
SIG |X|=7776 count=1 (1,7776,24) (36,216,72) (54,144,36)
SIG |X|=7776 count=1 (1,7776,12) (36,216,72) (54,144,72)
SIG |X|=7776 count=1 (1,7776,24) (36,216,36) (54,144,72)
SIG |X|=6480 count=1 (1,6480,10*) (90,72,72)
SIG |X|=6480 count=1 (1,6480,10) (90,72,72)
SIG |X|=6480 count=1 (1,6480,10) (45,144,72) (45,144,72)
SIG |X|=5832 count=2 (1,5832,36) (9,648,72) (81,72,72)
SIG |X|=5832 count=1 (1,5832,36) (9,648,18) (81,72,36)
SIG |X|=5832 count=1 (1,5832,36) (9,648,36) (81,72,18)
SIG |X|=5832 count=1 (1,5832,18) (9,648,72) (81,72,72)
SIG |X|=5832 count=1 (1,5832,9*) (9,648,72) (81,72,72)
SIG |X|=5832 count=1 (1,5832,72) (9,648,9*) (81,72,72)
SIG |X|=5832 count=1 (1,5832,72) (9,648,18) (81,72,72)
SIG |X|=5832 count=2 (1,5832,72) (9,648,36) (81,72,72)
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=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|=5760 count=1 (1,5760,720) (10,576,8*) (80,72,72)
# SUMMARY q=9 type=x threshold=5184.0 tested=43 good=6
