We describe the internal composition of a topologically stable monopole carrying a magnetic charge of $6pi/e$ that arises from the spontaneous breaking of the trinification symmetry $SU(3)_ctimes SU(3)_Ltimes SU(3)_R$ ($G$). Since this monopole carries no color magnetic charge, a charge of $6pi/e$ is required by the Dirac quantization condition. The breaking of $G$ to the Standard Model occurs in a number of steps and yields the desired topologically stable monopole (magnetic baryon), consisting of three confined monopoles. The confined monopoles (magnetic quarks) each carry a combination of Coulomb magnetic flux and magnetic flux tubes, and therefore they do not exist as isolated states. We also display a more elaborate configuration (fang necklace) composed of these magnetic quarks. In contrast to the $SU(5)$ monopole which is superheavy and carries a magnetic charge of $2pi/e$ as well as color magnetic charge, the trinification monopole may have mass in the TeV range, in which case it may be accessible at the LHC and its planned upgrades.