The Collaborative International Dictionary of English v.0.48:

Nonconformity \Non*con*form"i*ty\, n.
   Neglect or failure of conformity; especially, in England, the
   neglect or refusal to unite with the established church in
   its rites and modes of worship.
   [1913 Webster]

WordNet (r) 3.0 (2006):

nonconformity
    n 1: lack of harmony or correspondence
    2: a lack of orthodoxy in thoughts or beliefs [syn:
       nonconformity, nonconformism, nonconformance] [ant:
       conformism, conformity]
    3: unorthodoxy as a consequence of not conforming to expected
       standards or values
    4: failure to conform to accepted standards of behavior [syn:
       nonconformity, nonconformance] [ant: abidance,
       compliance, conformation, conformity]