  The heavy fermion ferromagnet CeRh$_6$Ge$_4$ 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 CeRh$_6$Ge$_4$ is diluted with
non-magnetic atoms, this study reports comprehensive measurements of the
physical properties of both single crystal and polycrystalline samples of
La$_x$Ce$_{1-x}$Rh$_6$Ge$_4$. 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 (NFL)
is observed over a wide doping range, which agrees well with the disordered
Kondo model for 0.52 $\leq$ $x$ $\leq$ 0.66, while strange metal behavior is
revealed in the vicinity of $x_c$ = 0.26.
