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# a nice example with Split Cayley hexagons
hexagon := SplitCayleyHexagon(5);
Order(hexagon);
g := CollineationGroup( hexagon );
incgraph := IncidenceGraph( hexagon );;
Diameter(incgraph);
Girth(incgraph);
points := Points(hexagon);
lines := Lines(hexagon);
iter := Iterator(points);
x := NextIterator(iter);
Display(x);
UnderlyingObject(x);
onx := Lines(x);
l := Random(onx);
onl := Points(l);
List(onl, t -> DistanceBetweenElements(x,t));
stabl := FiningStabiliser(g, l);
gl := Action(stabl, onl);
StructureDescription(gl);
Transitivity(gl);
quit;
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