q = 4, c_q = 5, M = 240, bound: |X| > M   [setup 0.0s]
PGL(2,4): 9 conjugacy classes of subgroups, 59 subgroups   [0.0s]
|Hbar|=6 |H cap Z|=3 |N|=16 |X|=288 fixes a point of m: False -> none good 
|Hbar|=10 |H cap Z|=3 |N|=16 |X|=480 fixes a point of m: False -> none good 
|Hbar|=60 |H cap Z|=1 |N|=16 |X|=960 fixes a point of m: False -> none good 
|Hbar|=60 |H cap Z|=3 |N|=16 |X|=2880 fixes a point of m: False -> none good 
|Hbar|=12 |H cap Z|=3 |N|=16 |X|=576 fixes a point of m: True -> none good 
TOTAL: 5 subgroups X (up to conjugacy by GL(2,q) on Hbar and by translations), good ones: 0   [0.0s]
