  In the framework of the tight binding approximation, we study a
non-interacting model on the three-component dice lattice with real
nearest-neighbor and complex next-nearest-neighbor hopping subjected to
$\Lambda$- or V-type sublattice potentials. By analyzing the dispersions of
corresponding energy bands, we find that the system undergoes a metal-insulator
transition which can be modulated not only by the Fermi energy but also the
tunable extra parameters. Furthermore, rich topological phases, including the
ones with high Hall plateau, are uncovered by calculating the associated band's
Chern number. Besides, we also analyze the edge-state spectra and discuss the
correspondence between Chern numbers and the edge states by the principle of
bulk-edge correspondence.
