pertaining to, of the nature of, exhibiting, or characterized by irony or mockery: an ironical compliment; an ironical smile.
using or prone to irony: an ironical speaker.

1570–80; ironic + -al1

ironically, adverb
ironicalness, noun
nonironical, adjective
nonironically, adverb
nonironicalness, noun
semi-ironical, adjective
semi-ironically, adverb
unironical, adjective
unironically, adverb

1, 2. sarcastic, sardonic. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To ironically
World English Dictionary
ironically (aɪˈrɒnɪkəlɪ)
1.  (sentence modifier) it is ironic that: ironically, McCoist has never scored against Rangers
2.  in an ironic manner: I laughed ironically

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
Waters, a publisher of books, has ironically found himself a flag-waver in a
  movement to re-privilege articles.
But ironically this has been accompanied by renewed weakness for the dollar.
Ironically the dogs were causing more sheep and goats to be killed as a result.
Ironically all his so-called mathematical arguments are false and what is more
  disturbing he knows so.
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