type:="G2";
W:=CoxeterGroup(type);
G,phi:=ReflectionGroup(W);
R:=CharacterRing(G);
G:=ReflectionGroup(CoxeterGroup("G2"));
R:=CharacterRing(G);
characterTable:=[
R![1,1,1,1,1,1],
R![1,-1,-1,1,1,-1],
R![1,-1,1,-1,1,-1],
R![1,1,-1,-1,1,1],
R![2,2,0,0,-1,-1],
R![2,-2,0,0,-1,1]];
A:=MatrixAlgebra(RationalField(), 2 );
conjugacyClasses:=
[<1,1,A![1,0,0,1]>,
<2,1,A![-1,0,0,-1]>,
<2,3,A![-1,0,3,1]>,
<2,3,A![1,1,0,-1]>,
<3,2,A![1,1,-3,-2]>,
<6,2,A![2,1,-3,-1]>];

d:=rec<data|
        W:=W,
        G:=G,
        R:=GModule(G),
        T:=characterTable,
        C:=conjugacyClasses,
        phi:=phi,
        type:=type>;