A wall panel of a moveable and demountable frameless wall panel system that is secured between a floor of a room and a ceiling rail secured to a ceiling of the room. The wall panel includes a frameless panel, an upper clamp assembly, a ceiling track configured to be removably inserted into the ceiling rail, a lower clamp assembly, a first height adjustment mechanism secured to the lower clamp assembly, a second height adjustment mechanism, and a bottom floor channel receiving the first height and second height adjustment mechanisms.

A pedestal for supporting a partition and a method for a partition. The pedestal includes a base for mounting onto a floor, the base having a peripheral outer surface. The pedestal also includes a body having a first end opposite a second end and an inner surface proximate the first end interfacing with the base peripheral outer surface. A cap is coupled to the body proximate the second end, and a bracket is coupled to the cap for coupling with a partition. The method includes connecting a base to a floor, coupling a body of to the base, coupling a sleeve to the base on which is coupled a bracket, and coupling the partition to the bracket.