There are of course lots of examples of all the types of galaxies, and each has their own poster galaxy. In the case of irregular galaxies, a dwarf irregular by the name of IC 4710, in the Pavo constellation, is the more well known.
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Irregulars tend to be small, with the average being 20,000 light-years in diameter and dwarf irregulars being around 1,000 light-years in diameter.