Phase-fixed double-group 3-Γ symbols. IV. Real 3-Γ symbols and coupling coefficients for the group hierarchies T* ⊃ C3* and T* ⊃ C2*

We present sets of real 3-Γ symbols which correspond to explicitly given irreducible matrix representations for the two double group hierarchies T* ⊃ C3*and T* ⊃ C2*. They fit into the formalism exposed in a previous paper [1] on the general theory of 3-Γ symbols and coupling coefficients and illustrate much of the discussion in a subsequent one [2] treating the particular properties of the double groups.