CoCalc -- d8

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