q = 5, c_q = 8, M = 800, bound: |X| >= M   [setup 0.0s]
PGL(2,5): 19 conjugacy classes of subgroups, 156 subgroups   [0.0s]
|Hbar|=60 |H cap Z|=2 |N|=25 |X|=3000 fixes a point of m: False -> none good 
|Hbar|=60 |H cap Z|=4 |N|=25 |X|=6000 fixes a point of m: False -> none good 
|Hbar|=8 |H cap Z|=4 |N|=25 |X|=800 fixes a point of m: False -> GOOD point (0, 0, 1) orb 25 stab 32 ind 8; line (0, 0, 1) orb 1 stab 800 ind 8
|Hbar|=20 |H cap Z|=2 |N|=25 |X|=1000 fixes a point of m: True -> none good 
|Hbar|=20 |H cap Z|=2 |N|=25 |X|=1000 fixes a point of m: True -> none good 
|Hbar|=20 |H cap Z|=4 |N|=25 |X|=2000 fixes a point of m: True -> none good 
|Hbar|=10 |H cap Z|=4 |N|=25 |X|=1000 fixes a point of m: True -> none good 
|Hbar|=120 |H cap Z|=4 |N|=25 |X|=12000 fixes a point of m: False -> none good 
|Hbar|=12 |H cap Z|=4 |N|=25 |X|=1200 fixes a point of m: False -> none good 
|Hbar|=12 |H cap Z|=4 |N|=25 |X|=1200 fixes a point of m: False -> none good 
|Hbar|=24 |H cap Z|=4 |N|=25 |X|=2400 fixes a point of m: False -> none good 
TOTAL: 11 subgroups X (up to conjugacy by GL(2,q) on Hbar and by translations), good ones: 1   [0.2s]
