The DOJ's request represents the agency's most aggressive attempt to break up a tech company since its antitrust case against Microsoft, which reached a settlement in 2001.

The remedies are expected to be decided next summer, and Google has said it will appeal, likely dragging out the situation a couple more years, but the company faces more antitrust hurdles.

In a separate case, the DOJ accused the company of illegally dominating online ad technology. That trial closed in September and awaits a judge ruling. In October, a U.S. judge issued a permanent injunction that will force Google to offer alternatives to its Google Play app store for Android phones. After the ruling in October, Google won a temporary pause on the ruling, meaning it won't have to open up Android to more app stores yet.