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We investigate D-branes on the product GxG of two group manifolds describedas Wess-Zumino-Novikov-Witten models. When the levels of the two groupscoincide, it is well known that there exist permutation D-branes which aretwisted by the automorphism exchanging the two factors. When the levels aredifferent, the D-brane charge group demands that there should begeneralisations of these permutation D-branes, and a geometric construction forthem was proposed in hep-th/0509153. We give further evidence for this proposalby showing that the generalised permutation D-branes satisfy theDirac-Born-Infeld equations of motion for arbitrary compact, simply connectedand simple Lie groups G.

DBI analysis of generalised permutation branes