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gap> pg := PG(4,8);
ProjectiveSpace(4, 8)
gap> group := CollineationGroup(pg);
The FinInG collineation group PGammaL(5,8)
gap> HasNiceMonomorphism(group);
false
gap> Random(group);
< a collineation: <cmat 5x5 over GF(2,3)>, F^4>
gap> time;
1028
gap> HasNiceMonomorphism(group);
true
gap> Random(group);
< a collineation: <cmat 5x5 over GF(2,3)>, F^0>
gap> time;
3
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