FIG. 1 is a perspective view of a razor holder showing my new design;

FIG. 2 is a rear view thereof;

FIG. 3 is a front view thereof;

FIG. 4 is a right side view thereof, the side opposite being a mirror image of the side shown;

FIG. 5 is a top view thereof; and,

FIG. 6 is a bottom view thereof.

The broken line showing of the razor and razor cartridges in FIG. 1 is for illustrative purposes only and forms no part of the claimed design.