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

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G:=Group((1,2)(3,4),(1,2,3));
F:=FreeGroup(2);
F:=F/[F.1^2,F.2^3,(F.1*F.2)^3];
m3 := [[[1,0,0],[0,1,0],[0,0,1]], [[1,0,0],[0,1,0],[0,1,1]]]*Z(3)^0;
m2 := [[[1,0],[0,1]], [[1,1],[1,0]]]*Z(2);