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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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# This is the fifth example from the XGAP manual:
# A finitely presented group.
f := FreeGroup(2);
g := f/[f.1^6];
s := GraphicSubgroupLattice(g);
IdGroup(SymmetricGroup(3));
s3 := SmallGroup(6,1);
IMAGE_GROUP := s3;;