South Carolina Sen. Lindsey Graham said President Trump "missed an opportunity" to condemn white supremacists who march in his name and claim they put him in office after Saturday's violence in Charlottesville, Va.

Trump blames "many sides" for the violence in Charlottesville Saturday that left one woman dead and 35 injured due to clashes between white supremacists and leftist protesters. The woman was killed when 20-year-old James Fields, who identifies as a part of a white nationalist group, drove his car into a group of people and collided with other cars.

Graham said on "Fox News Sunday" Trump should be disturbed and try to dissuade neo-Nazi and neo-Confederate groups from backing him.

"He missed an opportunity to be very explicit here … I would urge the president to dissuade these groups that he's their friend," Graham said.

Graham said he's proud to say white nationalist groups do not support him and, if he were in Trump's shoes, he'd be very clear that he doesn't have their back either.

"If I was president of the United States and these people showed sympathy for me and my agenda, it would disturb me and I would dissuade them that I was a friend to their cause," he said.

When asked if Trump condemns these groups, Graham demurred.

"I like President Trump. It's up to him to correct the record here, not me," he said. "I think the president can be clear when he wants to be. He needs to be clear here."