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.