# verifier B parabolic enumeration: q=4 type=m M=240 threshold=50.0 all_points=False
# q=4 type=m thr=50.0: SL(2,q) subgroup classes (GL-conj) = 9 [0.0s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 3.12: 16 (with possible repetitions) [0.0s]
X    1 |H0|=2 |H|=6 |N|=16 H1=2^0 cls=0 |X|=96 good=True sig=(1,96,12) (2,48,12) (2,48,12) (16,6,2*)
X    2 |H0|=3 |H|=9 |N|=16 H1=2^0 cls=0 |X|=144 good=True sig=(1,144,12) (1,144,12) (3,48,12) (16,9,3*)
X    3 |H0|=5 |H|=5 |N|=16 H1=2^0 cls=0 |X|=80 good=True sig=(5,16,4*) (16,5,5*)
X    4 |H0|=5 |H|=15 |N|=16 H1=2^0 cls=0 |X|=240 good=True sig=(5,48,12) (16,15,5*)
X    5 |H0|=6 |H|=6 |N|=16 H1=2^0 cls=0 |X|=96 good=True sig=(2,48,12) (3,32,4*) (16,6,6)
X    6 |H0|=6 |H|=18 |N|=16 H1=2^0 cls=0 |X|=288 good=False sig=(2,144,12) (3,96,12) (16,18,6)
X    7 |H0|=10 |H|=10 |N|=16 H1=2^0 cls=0 |X|=160 good=True sig=(5,32,4*) (16,10,10)
X    8 |H0|=10 |H|=30 |N|=16 H1=2^0 cls=0 |X|=480 good=False sig=(5,96,12) (16,30,10)
X    9 |H0|=12 |H|=12 |N|=16 H1=2^0 cls=0 |X|=192 good=False sig=(1,192,12) (4,48,12) (16,12,12)
X   10 |H0|=12 |H|=36 |N|=16 H1=2^0 cls=0 |X|=576 good=False sig=(1,576,12) (4,144,12) (16,36,12)
X   11 |H0|=12 |H|=36 |N|=4 H1=2^0 cls=0 |X|=144 good=True sig=(1,144,3*) (4,36,12) (4,36,12) (12,12,12)
X   12 |H0|=60 |H|=60 |N|=1 H1=2^2 cls=0 |X|=60 good=True sig=(1,60,60) (5,12,3*) (15,4,4*)
X   13 |H0|=60 |H|=60 |N|=1 H1=2^2 cls=1 |X|=60 good=True sig=(5,12,3*) (6,10,10) (10,6,6)
X   14 |H0|=60 |H|=60 |N|=1 H1=2^2 cls=2 |X|=60 good=True sig=(5,12,3*) (6,10,10) (10,6,6)
X   15 |H0|=60 |H|=60 |N|=1 H1=2^2 cls=3 |X|=60 good=True sig=(5,12,3*) (6,10,10) (10,6,6)
X   16 |H0|=60 |H|=60 |N|=16 H1=2^0 cls=0 |X|=960 good=False sig=(5,192,12) (16,60,60)
X   17 |H0|=60 |H|=180 |N|=1 H1=2^0 cls=0 |X|=180 good=True sig=(1,180,60) (5,36,3*) (15,12,12)
X   18 |H0|=60 |H|=180 |N|=16 H1=2^0 cls=0 |X|=2880 good=False sig=(5,576,12) (16,180,60)
X   19 |H0|=4 |H|=4 |N|=16 H1=2^0 cls=0 |X|=64 good=True sig=(1,64,4*) (4,16,4*) (16,4,4*)
X   20 |H0|=4 |H|=12 |N|=8 H1=2^0 cls=0 |X|=96 good=True sig=(1,96,2*) (4,24,12) (8,12,12) (8,12,12)
X   21 |H0|=4 |H|=12 |N|=8 H1=2^0 cls=0 |X|=96 good=True sig=(1,96,2*) (4,24,12) (8,12,12) (8,12,12)
X   22 |H0|=4 |H|=12 |N|=8 H1=2^0 cls=0 |X|=96 good=True sig=(1,96,2*) (4,24,12) (8,12,12) (8,12,12)
X   23 |H0|=4 |H|=12 |N|=16 H1=2^0 cls=0 |X|=192 good=True sig=(1,192,4*) (4,48,12) (16,12,12)
X   24 |H0|=4 |H|=12 |N|=16 H1=2^0 cls=0 |X|=192 good=True sig=(1,192,12) (4,48,4*) (16,12,12)
X   25 |H0|=4 |H|=12 |N|=16 H1=2^0 cls=0 |X|=192 good=True sig=(1,192,12) (4,48,12) (16,12,4*)
# q=4 type=m thr=50.0: tested 25 subgroups X (|X| > thr), good: 19 [0.1s]
# distinct (order, orbit signature) pairs: 21
SIG |X|=2880 count=1 (5,576,12) (16,180,60)
SIG |X|=960 count=1 (5,192,12) (16,60,60)
SIG |X|=576 count=1 (1,576,12) (4,144,12) (16,36,12)
SIG |X|=480 count=1 (5,96,12) (16,30,10)
SIG |X|=288 count=1 (2,144,12) (3,96,12) (16,18,6)
SIG |X|=240 count=1 (5,48,12) (16,15,5*)
SIG |X|=192 count=1 (1,192,12) (4,48,12) (16,12,12)
SIG |X|=192 count=1 (1,192,4*) (4,48,12) (16,12,12)
SIG |X|=192 count=1 (1,192,12) (4,48,4*) (16,12,12)
SIG |X|=192 count=1 (1,192,12) (4,48,12) (16,12,4*)
SIG |X|=180 count=1 (1,180,60) (5,36,3*) (15,12,12)
SIG |X|=160 count=1 (5,32,4*) (16,10,10)
SIG |X|=144 count=1 (1,144,12) (1,144,12) (3,48,12) (16,9,3*)
SIG |X|=144 count=1 (1,144,3*) (4,36,12) (4,36,12) (12,12,12)
SIG |X|=96 count=1 (1,96,12) (2,48,12) (2,48,12) (16,6,2*)
SIG |X|=96 count=1 (2,48,12) (3,32,4*) (16,6,6)
SIG |X|=96 count=3 (1,96,2*) (4,24,12) (8,12,12) (8,12,12)
SIG |X|=80 count=1 (5,16,4*) (16,5,5*)
SIG |X|=64 count=1 (1,64,4*) (4,16,4*) (16,4,4*)
SIG |X|=60 count=1 (1,60,60) (5,12,3*) (15,4,4*)
SIG |X|=60 count=3 (5,12,3*) (6,10,10) (10,6,6)
# SUMMARY q=4 type=m threshold=50.0 tested=25 good=19
