The Collaborative International Dictionary of English v.0.48:
Unsociability \Un*so`cia*bil"i*ty\, n. The quality or state of being unsociable; unsociableness. [1913 Webster]WordNet (r) 3.0 (2006):
unsociability n 1: an unsociable disposition; avoiding friendship or companionship [syn: unsociability, unsociableness] [ant: sociability, sociableness]