If Sony Music Entertainment has its way, the Dixie Chicks won't fly the coop anytime soon.

The company has sued the Dixie Chicks, who record for Sony's Monument label, for breach of contract. According to a complaint filed Tuesday (July 17) in a U.S. District Court in New York City, the Chicks tried to leave Sony this month over a royalties dispute.

Sony asked the court to enforce the current contract, which says the group owes the label five more albums. Sony also seeks an injunction to prevent the trio from recording for another label.

A spokeswoman for the Chicks told country.com the band has "no comment" on the lawsuit.

The group's two albums, Wide Open Spaces and Fly, have sold nearly 20 million copies.

The Chicks complained about the terms of their deal in an interview with Dan Rather on CBS' 60 Minutes II last fall. Rather estimated that the band had generated at least $200 million in album sales. Band member Emily Robison said, "You're depressing me because we see so little of that. I'll just say that Sony Nashville has remodeled their new building. They remodeled on that." Lead singer Natalie Maines added, "I don't even have a million dollars in the bank. Tell me where this money goes."