Off-field disturbances of fans attacking police and fighting with each other marred the Latics' 2-0 victory over Millwall at Wembley on Saturday.
In total 14 fans were arrested on Saturday and police have appealed to the public to help find 10 supporters, who are thought to have been involved.
"Over 60,000 fans went to this game to support their teams, sadly there was a small minority intent on violence," Deputy Chief Inspector Andy Barnes told BBC News.
"In sending a clear message to those intent on causing trouble, I would appeal for help from the public to identify any of the suspects featured in the images we are releasing today."
Police arrested 12 Millwall fans and two Wigan supporters on the day.