These representations of a pair (G,H) of groups, where G is a group of transformations and H is a subgroup of Index 1 or 2 in G, satisfy the rule D(h1)D(h2) = D(h1h2) for elements h1 and h2 from H, but D(gh) = D(g)*D(h) for h in H and g in G, but not in H. In this case, the nuclear structure is embedded in (real) superspace, but the values of the spinor field are in a 2D complex space.