In a statement, 21st Century Fox said, “We take seriously all communications from shareholders and investment groups, and will respond accordingly.”

The move is one of the investment community’s harshest public critiques of 21st Century Fox over its handling of the scandal at Fox News. The company has been dealing for more than a year with the fallout from a crisis that exposed a workplace that women said was rife with harassment and where they feared reporting inappropriate behavior. The scandal led to the departure of Roger E. Ailes, the founding chairman of Fox News; Bill O’Reilly, the former Fox News host; and several others.

Even as 21st Century Fox tries to move on, the United States attorney’s office in Manhattan is conducting a criminal investigation into Fox News’s handling of the sexual harassment complaints. The company also faces continuing regulatory scrutiny in Britain over its $15 billion bid to acquire full control of Sky, the European satellite giant.

The financial price of the scandal has mounted, with 21st Century Fox incurring about $50 million in costs tied to the settlement of sexual harassment and discrimination allegations involving Fox News in the year that ended June 30. That figure does not include a $40 million payout to Mr. Ailes or a $25 million payout to Mr. O’Reilly. And, according to CtW, 21st Century Fox could face penalties of $140 million if the Sky deal is delayed into 2018 and $164 million if it falls through altogether.

The company said in a proxy statement filed with the Securities and Exchange Commission last month that it had “made significant changes to the leadership and management of Fox News Channel after allegations of misconduct at the Fox News Channel business.” It also said it had hired a new global head of human resources at 21st Century Fox and a new head of human resources at Fox News. And, the company said, nearly 7,000 employees had received training about workplace behavior in the past 12 months.