type:="B2";
W:=CoxeterGroup(type);
G,phi:=ReflectionGroup(W);
R:=CharacterRing(G);
G:=ReflectionGroup(CoxeterGroup("B2"));
R:=CharacterRing(G);
characterTable:=[
R![1,1,1,1,1],
R![1,1,-1,1,-1],
R![1,1,1,-1,-1],
R![1,1,-1,-1,1],
R![2,-2,0,0,0]];
A:=MatrixAlgebra(RationalField(), 2 );
conjugacyClasses:=
[<1,1,A![1,0,0,1]>,
<2,1,A![-1,0,0,-1]>,
<2,2,A![-1,0,1,1]>,
<2,2,A![1,2,0,-1]>,
<4,2,A![-1,-2,1,1]>];

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