This dataset accompanies the Master’s dissertation “The three-gluon vertex with dynamical quarks”. It provides numerical results for the four form factors of the transversely projected three-gluon vertex, obtained by solving its Schwinger–Dyson equation (SDE) within the 3PI effective-action formalism. The SDE is solved numerically in unquenched QCD with two light degenerate quark flavors, using as input the quark, gluon, and ghost propagators from lattice QCD simulations, together with the form factors of the quark–gluon and ghost–gluon vertices from Schwnger-Dyson equations. In addition to the fully assembled form factors, the dataset also includes the individual contribution of each diagram entering the SDE to each form factor. This enables a detailed diagrammatic analysis of the three-gluon vertex in the 3PI framework.