2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152818A set of invariants for a finite group is described. These arise naturally from Frobenius' early work on the group determinant and provide an answer to a question of Brauer. Whereas it is well known that the ordinary character table of a group does not determine the group uniquely, it is a consequence of the results presented here that a group is determined uniquely by its ``3-character'' table.3 pagesGroup Theorytext