The flag shows a dove as a peace symbol, made up from the Arabic initials of the party, "ش"  ,"ح" and "ع".
Source: https://www.facebook.com/iraqicp/posts/pfbid03D5TAnAGtjZU511TPzGqusxQr9YQKHycjp7MAfwjQai2P3igWQ3ud8L4Dc9EhVJTl
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Ermanarich