The Collaborative International Dictionary of English v.0.48:

Inelegance \In*el"e*gance\, Inelegancy \In*el"e*gan*cy\, n.; pl.
   Inelegances, Inelegancies. [L. inelegantia: cf. F.
   in['e]l['e]gance.]
   [1913 Webster]
   1. The quality of being inelegant; lack of elegance or grace;
      lack of refinement, beauty, or polish in language,
      composition, or manners.
      [1913 Webster]

            The notorious inelegance of her figure. --T. Hook.
      [1913 Webster]

   2. Anything inelegant; as, inelegance of style in literary
      composition.
      [1913 Webster]

WordNet (r) 3.0 (2006):

inelegance
    n 1: the quality of lacking refinement and good taste [ant:
         elegance]

Moby Thesaurus II by Grady Ward, 1.0:

82 Moby Thesaurus words for "inelegance":
   Babbittry, awkwardness, bad taste, boorishness, bourgeois taste,
   bumblingness, cacophony, camp, campiness, clownishness, clumsiness,
   cumbersomeness, defacement, disfigurement, dysphemism, gawkiness,
   gawkishness, gracelessness, ham-handedness, handful of thumbs,
   heavy-handedness, high camp, homeliness, hulkiness,
   ill-favoredness, impropriety, inappropriateness, incorrectness,
   indecency, indecorousness, indecorum, indelicacy, indiscreetness,
   indiscretion, inelegancy, kitsch, left-handedness, loutishness,
   low camp, lubberliness, lumpishness, maladroitness, oafishness,
   philistinism, plainness, ponderousness, poor taste, pop,
   pop culture, shapelessness, tastelessness, uglification, uglifying,
   ugliness, unaestheticism, unaestheticness, unattractiveness,
   unbeautifulness, unbecomingness, unchastity, uncomeliness,
   uncouthness, unfittingness, ungainliness, ungracefulness,
   unhandiness, unhandsomeness, unloveliness, unmanageability,
   unmeetness, unpleasingness, unprettiness, unseemliness,
   unshapeliness, unsightliness, unsuitability, unsuitableness,
   unwieldiness, vulgar taste, vulgarism, vulgarity, vulgarness