I discuss a work in progress on the construction of non-Abelian vortices in an AdS_4/CFT_3 superconductor. I will present the underlying theory and discuss the numerical approach to constructing vortex solutions of the Einstein equations in the bulk model. Our particular generated solutions will be shown along with an interpretation of the results. I will also discuss the current developments and challenges to constructing the thermodynamic potentials on the CFT boundary. Finally, I will discuss the moduli appearing in the vortex core, and what they might tell us about the strong coupling theory on the boundary.