[en] If the requirement of symmetric group invariance is imposed on the Lagrangian for multispinor fields, then valuable information about the structure of the couplings can be obtained. The number and symmetries of the auxiliary fields which must be introduced in order to obtain the Bargmann--Wigner equations are related to the irreducible representations of S/sub n/. The form of the nonvanishing kinetic couplings may be predicted from the direct product series, while the operators themselves may be constructed directly on the basis of symmetry. The second- and third-rank multispinor Lagrangians are reviewed and the respective wave functions are identified as objects which transform under the appropriate symmetric group. Each multispinor is transformed into tensor components, and field equations are found in that formulation. The fourth-rank multispinor wave functions are presented, and the spin-0 Lagrangian for this rank is constructed on the basis of symmetric group considerations. The transformation from multispinor to tensor form is carried out. The field equations on the tensor components which result upon variation assure the Bargmann--Wigner equations on the spin-0 field and the vanishing of the auxiliary fields