Antonyms of sympathy:
barbarity, greediness, ill-will, malignity, self-seeking, brutality, harshness, inhumanity, niggardliness, stinginess, churlishness, illiberality, malevolence, selfishness, unkindness, indifference, insensitivity, unconcern, cruelty, animosity, antipathy, dislike, hatred, hostility, callousness, coldheartedness, hard-heartedness, heartlessness, coldness, disinterest, inhumanness, mercilessness, pitilessness.
Examples of usage:
  1. It is a small matter whether you and I find ourselves in sympathy with that world, or can never be acclimatised.
    "Holbein", Beatrice Fortescue.
  2. Judge, you have no sympathy.
    "Papers from Overlook-House", Casper Almore.
  3. " Oh, Lucy," she cried in a burst of sympathy.
    "The Emigrant Trail", Geraldine Bonner.