gap> ps := HermitianPolarSpace(3,81);
H(3, 9^2)
gap> group := CollineationGroup(ps);
PGammaU(4,9^2)
gap> time;
2219
gap> g := Random(group);
< a collineation: <cmat 4x4 over GF(3,4)>, F^27>
gap> h := Random(group);
< a collineation: <cmat 4x4 over GF(3,4)>, F^3>
gap> group2 := Group([g,h]);
<projective collineation group with 2 generators>
gap> HasNiceMonomorphism(group2);
false
gap> Order(group2);
407194345728000
gap> time;
371559
gap> HasNiceMonomorphism(group2);
true
gap> NrMovedPoints(NiceObject(group2));
538084
gap> Size(Points(PG(3,81)));
538084
gap> group2 := Group([g,h]);
<projective collineation group with 2 generators>
gap> SetParent(group2,group);
gap> HasNiceMonomorphism(group2);
true
gap> HasNiceObject(group2);
false
gap> Order(group2);
407194345728000
gap> time;
888
gap> HasNiceObject(group2);
true
gap> NrMovedPoints(NiceObject(group2));
7300
gap> Size(Lines(ps));
7300