The heavy fermion ferromagnet CeRh6Ge4 is the first example of a clean stoichiometric system where the ferromagnetic transition can be continuously suppressed by hydrostatic pressure to a quantum critical point. In order to reveal the outcome when the magnetic lattice of CeRh6Ge4 is diluted with non-magnetic atoms, this study reports comprehensive measurements of the physical properties of both single crystal and polycrystalline samples of LaxCe1–xRh6Ge4. With increasing x, the Curie temperature decreases, and no transition is observed for x > 0.25, while the system evolves from exhibiting coherent Kondo lattice behaviors at low x to the Kondo impurity scenario at large x. Moreover, non-Fermi liquid behavior is observed over a wide doping range, which agrees well with the disordered Kondo model for 0.52 ≤ x ≤ 0.66, while strange metal behavior is revealed in the vicinity of xc = 0.26. [ABSTRACT FROM AUTHOR]