The outer-product reduction coefficients (ORC) which reduce the representation (rep) induced from the irreps of the permutation groups S(f₁) and S(f₂) into the irreps of S(f₁ + f₂) are shown to be the 'indirect coupling' coefficients for the U(m + p/n + q) ⊃ U(m/n) × U(p/q) irreducible basis. The non-standard ORC for reducing the rep induced from the non-standard irreps of S(f₁₃) ⊃ S(f₁) × S(f₃) and S(f₂₄) ⊃ S(f₂) × S(f₄) into that of S(f) ⊃ S(f₁₂) × S(f₃₄), with f_ij = f_i + f_j, f = f₁₂ + f₃₄, are identified with the U(f) ⊃ U(f₁₂) × U(f₃₄) Clebsch-Gordan coefficient for the special Gel'fand bases of U(f₁₂) and U(f₃₄). The U(m + p/n + q) ⊃ U(m/n) × U(p/q) CFP, as well as its special case the U(m+p) ⊃ U(m) × U(p) CFP, are identified with the S(f) ⊃ S(f₁₂) × S(f₃₄) outer-product isoscalar factor. The U(m/n) ⊃ U(m) × U(n) CFP are obtained from the U(m + n) ⊃ U(m) × U(n) CFP by simply changing all the partition labels for U(n) into their conjugates (interchanging rows with columns) and taking into account a phase change. The CFP can be calculated from the ORC. Numerical values of the one-body CFP for systems with up to six particles are tabulated.