When the cameras blink off, however, the banter has been replaced by something rarely heard in the television news business: silence.

Megyn Kelly and her co-hosts, including Bret Baier and Brit Hume, have not been speaking during commercial breaks, according to two people with direct knowledge of the anchors’ interactions, who described the on-set atmosphere at Fox News as icy. During ads, the hosts are often absorbed with their smartphones…

The hosts’ on-set interactions have improved slightly since last week’s shows at the Republican National Convention in Cleveland, which were broadcast immediately after Mr. Ailes’s departure.

Still, employees say there is a continuing split inside the network, with one camp of old-guard Fox News loyalists — some of whom owe their careers to Mr. Ailes — upset at his ouster. Some are resentful toward Ms. Kelly for cooperating with lawyers brought in by the network’s parent company, 21st Century Fox, to investigate Mr. Ailes’s behavior. (About a dozen women have reported improper behavior by Mr. Ailes to investigators.)