"Source: Text/Group/GrpMatInf.text";
"Line: 953";
"Date: Thu Apr  1 11:57:57 2021";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpMatInf.text, line: 953
// Example: H68E5 ()
print "Example: H68E5";
ei := GetEchoInput();
SetEchoInput(true);
Q<z> := QuadraticField(5);
O<w> := sub< MaximalOrder(Q) | 7 >;
G := GL(2, Q);
x := G![1,1+w,0,w];
y :=  G![-1/2, 2, 2 + w, 5 + w^2];
H:=sub<G | x, y>;
IsFinite (H);
assert not $1;
IsSolubleByFinite (H);
assert not $1;
SetEchoInput(ei);
