  We perform the Monte Carlo study of the SU(3) non-Abelian Higgs model. We
discuss phase structure and non-Abelian vortices by gauge invariant operators.
External magnetic fields induce non-Abelian vortices in the color-flavor locked
phase. The spatial distribution of non-Abelian vortices suggests the repulsive
vortex-vortex interaction.
