# verifier B parabolic enumeration: q=8 type=m M=4032 threshold=500.0 all_points=False
# q=8 type=m thr=500.0: SL(2,q) subgroup classes (GL-conj) = 12 [0.1s]
# subgroups H of GL(2,q) with |H| > thr/q^2 = 7.81: 23 (with possible repetitions) [0.1s]
X    1 |H0|=2 |H|=14 |N|=64 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,56) (2,448,56) (2,448,56) (2,448,56) (2,448,56) (64,14,2*)
X    2 |H0|=3 |H|=21 |N|=64 H1=2^0 cls=0 |X|=1344 good=True sig=(3,448,56) (3,448,56) (3,448,56) (64,21,3*)
X    3 |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    4 |H0|=9 |H|=9 |N|=64 H1=2^0 cls=0 |X|=576 good=True sig=(9,64,8*) (64,9,9*)
X    5 |H0|=9 |H|=63 |N|=64 H1=2^0 cls=0 |X|=4032 good=True sig=(9,448,56) (64,63,9*)
X    6 |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    7 |H0|=14 |H|=14 |N|=64 H1=2^0 cls=0 |X|=896 good=True sig=(2,448,56) (7,128,8*) (64,14,14)
X    8 |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    9 |H0|=18 |H|=18 |N|=64 H1=2^0 cls=0 |X|=1152 good=True sig=(9,128,8*) (64,18,18)
X   10 |H0|=18 |H|=126 |N|=64 H1=2^0 cls=0 |X|=8064 good=False sig=(9,896,56) (64,126,18)
X   11 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=0 |X|=504 good=True sig=(1,504,504) (9,56,7*) (63,8,8*)
X   12 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=1 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   13 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=2 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   14 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=3 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   15 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=4 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   16 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=5 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   17 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=6 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   18 |H0|=504 |H|=504 |N|=1 H1=2^3 cls=7 |X|=504 good=True sig=(9,56,7*) (28,18,18) (36,14,14)
X   19 |H0|=504 |H|=504 |N|=64 H1=2^0 cls=0 |X|=32256 good=False sig=(9,3584,56) (64,504,504)
X   20 |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   21 |H0|=504 |H|=3528 |N|=64 H1=2^0 cls=0 |X|=225792 good=False sig=(9,25088,56) (64,3528,504)
X   22 |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   23 |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   24 |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   25 |H0|=4 |H|=28 |N|=64 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,56) (4,448,56) (4,448,56) (64,28,4*)
X   26 |H0|=8 |H|=8 |N|=64 H1=2^0 cls=0 |X|=512 good=True sig=(1,512,8*) (8,64,8*) (64,8,8*)
X   27 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   28 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   29 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   30 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   31 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   32 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   33 |H0|=8 |H|=56 |N|=16 H1=2^0 cls=0 |X|=896 good=True sig=(1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
X   34 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   35 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   36 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   37 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   38 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   39 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   40 |H0|=8 |H|=56 |N|=32 H1=2^0 cls=0 |X|=1792 good=True sig=(1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
X   41 |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   42 |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   43 |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   44 |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   45 |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   46 |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   47 |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=500.0: tested 47 subgroups X (|X| > thr), good: 36 [1.4s]
# distinct (order, orbit signature) pairs: 25
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)
SIG |X|=1792 count=1 (1,1792,56) (4,448,56) (4,448,56) (64,28,4*)
SIG |X|=1792 count=7 (1,1792,4*) (8,224,56) (32,56,56) (32,56,56)
SIG |X|=1344 count=1 (3,448,56) (3,448,56) (3,448,56) (64,21,3*)
SIG |X|=1152 count=1 (9,128,8*) (64,18,18)
SIG |X|=896 count=1 (1,896,56) (2,448,56) (2,448,56) (2,448,56) (2,448,56) (64,14,2*)
SIG |X|=896 count=1 (2,448,56) (7,128,8*) (64,14,14)
SIG |X|=896 count=7 (1,896,2*) (8,112,56) (16,56,56) (16,56,56) (16,56,56) (16,56,56)
SIG |X|=576 count=1 (9,64,8*) (64,9,9*)
SIG |X|=512 count=1 (1,512,8*) (8,64,8*) (64,8,8*)
SIG |X|=504 count=1 (1,504,504) (9,56,7*) (63,8,8*)
SIG |X|=504 count=7 (9,56,7*) (28,18,18) (36,14,14)
# SUMMARY q=8 type=m threshold=500.0 tested=47 good=36
