# verifier B parabolic enumeration: q=5 type=x M=800 threshold=400.0 all_points=True
# q=5 type=x thr=400.0: SL(2,q) subgroup classes (GL-conj) = 12 [0.0s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 16.00: 24 (with possible repetitions) [0.0s]
X    1 |H0|=6 |H|=24 |N|=25 H1=5^0 cls=0 |X|=600 good=False sig=(1,600,6) (30,20,20)
X    2 |H0|=6 |H|=24 |N|=25 H1=5^0 cls=0 |X|=600 good=True sig=(1,600,6*) (30,20,20)
X    3 |H0|=5 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=True sig=(1,500,20) (5,100,5*) (25,20,20)
X    4 |H0|=5 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=False sig=(1,500,20) (5,100,20) (25,20,10)
X    5 |H0|=5 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=True sig=(1,500,20) (5,100,20) (25,20,5*)
X    6 |H0|=5 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=False sig=(1,500,20) (5,100,10) (25,20,20)
X    7 |H0|=10 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=False sig=(1,500,10) (5,100,10) (25,20,10)
X    8 |H0|=10 |H|=40 |N|=25 H1=5^0 cls=0 |X|=1000 good=False sig=(1,1000,20) (5,200,10) (25,40,20)
X    9 |H0|=10 |H|=40 |N|=25 H1=5^0 cls=0 |X|=1000 good=False sig=(1,1000,20) (5,200,20) (25,40,10)
X   10 |H0|=10 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=True sig=(1,500,5*) (5,100,20) (25,20,20)
X   11 |H0|=120 |H|=240 |N|=25 H1=5^0 cls=0 |X|=6000 good=False sig=(1,6000,60) (30,200,20)
X   12 |H0|=120 |H|=480 |N|=1 H1=5^0 cls=0 |X|=480 good=True sig=(1,480,120) (6,80,4*) (24,20,20)
X   13 |H0|=120 |H|=480 |N|=25 H1=5^0 cls=0 |X|=12000 good=False sig=(1,12000,120) (30,400,20)
X   14 |H0|=120 |H|=120 |N|=25 H1=5^0 cls=0 |X|=3000 good=False sig=(1,3000,60) (30,100,20)
X   15 |H0|=8 |H|=32 |N|=25 H1=5^0 cls=0 |X|=800 good=True sig=(1,800,8*) (10,80,20) (20,40,20)
X   16 |H0|=8 |H|=32 |N|=25 H1=5^0 cls=0 |X|=800 good=True sig=(1,800,8*) (10,80,20) (20,40,20)
X   17 |H0|=8 |H|=32 |N|=25 H1=5^0 cls=0 |X|=800 good=True sig=(1,800,8*) (10,80,20) (20,40,20)
X   18 |H0|=12 |H|=24 |N|=25 H1=5^0 cls=0 |X|=600 good=False sig=(1,600,6) (15,40,20) (15,40,20)
X   19 |H0|=12 |H|=48 |N|=25 H1=5^0 cls=0 |X|=1200 good=False sig=(1,1200,12) (30,40,20)
X   20 |H0|=20 |H|=40 |N|=25 H1=5^0 cls=0 |X|=1000 good=False sig=(1,1000,10) (5,200,20) (25,40,20)
X   21 |H0|=20 |H|=80 |N|=25 H1=5^0 cls=0 |X|=2000 good=False sig=(1,2000,20) (5,400,20) (25,80,20)
X   22 |H0|=20 |H|=20 |N|=25 H1=5^0 cls=0 |X|=500 good=False sig=(1,500,10) (5,100,20) (25,20,20)
X   23 |H0|=24 |H|=48 |N|=25 H1=5^0 cls=0 |X|=1200 good=False sig=(1,1200,12) (30,40,20)
X   24 |H0|=24 |H|=96 |N|=25 H1=5^0 cls=0 |X|=2400 good=False sig=(1,2400,24) (30,80,20)
X   25 |H0|=24 |H|=24 |N|=25 H1=5^0 cls=0 |X|=600 good=False sig=(1,600,12) (30,20,20)
# q=5 type=x thr=400.0: tested 25 subgroups X (|X| > thr), good: 8 [0.8s]
# distinct (order, orbit signature) pairs: 22
SIG |X|=12000 count=1 (1,12000,120) (30,400,20)
SIG |X|=6000 count=1 (1,6000,60) (30,200,20)
SIG |X|=3000 count=1 (1,3000,60) (30,100,20)
SIG |X|=2400 count=1 (1,2400,24) (30,80,20)
SIG |X|=2000 count=1 (1,2000,20) (5,400,20) (25,80,20)
SIG |X|=1200 count=2 (1,1200,12) (30,40,20)
SIG |X|=1000 count=1 (1,1000,20) (5,200,10) (25,40,20)
SIG |X|=1000 count=1 (1,1000,20) (5,200,20) (25,40,10)
SIG |X|=1000 count=1 (1,1000,10) (5,200,20) (25,40,20)
SIG |X|=800 count=3 (1,800,8*) (10,80,20) (20,40,20)
SIG |X|=600 count=1 (1,600,6) (30,20,20)
SIG |X|=600 count=1 (1,600,6*) (30,20,20)
SIG |X|=600 count=1 (1,600,6) (15,40,20) (15,40,20)
SIG |X|=600 count=1 (1,600,12) (30,20,20)
SIG |X|=500 count=1 (1,500,20) (5,100,5*) (25,20,20)
SIG |X|=500 count=1 (1,500,20) (5,100,20) (25,20,10)
SIG |X|=500 count=1 (1,500,20) (5,100,20) (25,20,5*)
SIG |X|=500 count=1 (1,500,20) (5,100,10) (25,20,20)
SIG |X|=500 count=1 (1,500,10) (5,100,10) (25,20,10)
SIG |X|=500 count=1 (1,500,5*) (5,100,20) (25,20,20)
SIG |X|=500 count=1 (1,500,10) (5,100,20) (25,20,20)
SIG |X|=480 count=1 (1,480,120) (6,80,4*) (24,20,20)
# SUMMARY q=5 type=x threshold=400.0 tested=25 good=8
