gap&gt; ps := PG(3,8);
ProjectiveSpace(3, 8)
gap&gt; g := CollineationGroup(ps);
The FinInG collineation group PGammaL(4,8)
gap&gt; p := Random(Points(ps));
&lt;a point in ProjectiveSpace(3, 8)&gt;
gap&gt; Stabilizer(g,p,OnProjSubspaces);
&lt;projective collineation group of size 177223237632 with 2 generators&gt;
gap&gt; time;
10026
gap&gt; line := Random(Lines(ps));
&lt;a line in ProjectiveSpace(3, 8)&gt;
gap&gt; Stabilizer(g,line,OnProjSubspaces);
&lt;projective collineation group of size 21849440256 with 2 generators&gt;
gap&gt; time;
78126
