# verifier B parabolic enumeration: q=8 type=m M=4032 threshold=2016.0 all_points=False
# q=8 type=m thr=2016.0: SL(2,q) subgroup classes (GL-conj) = 12 [0.1s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 31.50: 16 (with possible repetitions) [0.1s]
X    1 |H0|=7 |H|=49 |N|=64 H1=2^0 cls=0 |X|=3136 good=True sig=(1,3136,56) (1,3136,56) (7,448,56) (64,49,7*)
X    2 |H0|=9 |H|=63 |N|=64 H1=2^0 cls=0 |X|=4032 good=True sig=(9,448,56) (64,63,9*)
X    3 |H0|=6 |H|=42 |N|=64 H1=2^0 cls=0 |X|=2688 good=False sig=(3,896,56) (6,448,56) (64,42,6)
X    4 |H0|=14 |H|=98 |N|=64 H1=2^0 cls=0 |X|=6272 good=False sig=(2,3136,56) (7,896,56) (64,98,14)
X    5 |H0|=18 |H|=126 |N|=64 H1=2^0 cls=0 |X|=8064 good=False sig=(9,896,56) (64,126,18)
X    6 |H0|=504 |H|=504 |N|=64 H1=2^0 cls=0 |X|=32256 good=False sig=(9,3584,56) (64,504,504)
X    7 |H0|=504 |H|=3528 |N|=1 H1=2^0 cls=0 |X|=3528 good=True sig=(1,3528,504) (9,392,7*) (63,56,56)
X    8 |H0|=504 |H|=3528 |N|=64 H1=2^0 cls=0 |X|=225792 good=False sig=(9,25088,56) (64,3528,504)
X    9 |H0|=56 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=False sig=(1,3584,56) (8,448,56) (64,56,56)
X   10 |H0|=56 |H|=392 |N|=64 H1=2^0 cls=0 |X|=25088 good=False sig=(1,25088,56) (8,3136,56) (64,392,56)
X   11 |H0|=56 |H|=392 |N|=8 H1=2^0 cls=0 |X|=3136 good=True sig=(1,3136,7*) (8,392,56) (8,392,56) (56,56,56)
X   12 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=True sig=(1,3584,8*) (8,448,56) (64,56,56)
X   13 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=True sig=(1,3584,56) (8,448,8*) (64,56,56)
X   14 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=True sig=(1,3584,56) (8,448,56) (64,56,8*)
X   15 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=False sig=(1,3584,56) (8,448,56) (64,56,56)
X   16 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=False sig=(1,3584,56) (8,448,56) (64,56,56)
X   17 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=False sig=(1,3584,56) (8,448,56) (64,56,56)
X   18 |H0|=8 |H|=56 |N|=64 H1=2^0 cls=0 |X|=3584 good=False sig=(1,3584,56) (8,448,56) (64,56,56)
# q=8 type=m thr=2016.0: tested 18 subgroups X (|X| > thr), good: 7 [0.7s]
# distinct (order, orbit signature) pairs: 14
SIG |X|=225792 count=1 (9,25088,56) (64,3528,504)
SIG |X|=32256 count=1 (9,3584,56) (64,504,504)
SIG |X|=25088 count=1 (1,25088,56) (8,3136,56) (64,392,56)
SIG |X|=8064 count=1 (9,896,56) (64,126,18)
SIG |X|=6272 count=1 (2,3136,56) (7,896,56) (64,98,14)
SIG |X|=4032 count=1 (9,448,56) (64,63,9*)
SIG |X|=3584 count=5 (1,3584,56) (8,448,56) (64,56,56)
SIG |X|=3584 count=1 (1,3584,8*) (8,448,56) (64,56,56)
SIG |X|=3584 count=1 (1,3584,56) (8,448,8*) (64,56,56)
SIG |X|=3584 count=1 (1,3584,56) (8,448,56) (64,56,8*)
SIG |X|=3528 count=1 (1,3528,504) (9,392,7*) (63,56,56)
SIG |X|=3136 count=1 (1,3136,56) (1,3136,56) (7,448,56) (64,49,7*)
SIG |X|=3136 count=1 (1,3136,7*) (8,392,56) (8,392,56) (56,56,56)
SIG |X|=2688 count=1 (3,896,56) (6,448,56) (64,42,6)
# SUMMARY q=8 type=m threshold=2016.0 tested=18 good=7
