With President Joe Biden approaching his first 100 days in office, some of the biggest names in the Republican party are showing interest in running in 2024.

Former President Donald Trump is considered one of the frontrunners for the Republican nomination. But on Monday, Wyoming Rep. Liz Cheney, who has clashed with Trump, didn't rule out a run. 

In an interview with the New York Post, Cheney said that she was keeping her options open.

“I’m not ruling anything in or out — ever is a long time ,” she said.

Cheney, 54, the daughter of former Vice-President Dick Cheney, has been a central figure in the civil war threatening the GOP. Following the Jan. 6 Capitol riots and Trump’s resounding losses in the 2020 election, Republicans have appeared to be divided between Trump loyalists and those who want to move on. 

Trump's approval rates remain sky-high within the party, and a slight majority of voters consistently identify as Trump fans first and Republicans second. There has also been speculation that Trump would leave the GOP, which may open the door for candidates like Cheney in 2024.

Party mainstays like House Minority Leader Kevin McCarthy are hoping they can keep the peace long enough to take back the House in 2022. While Trump wasn’t invited to the Republicans’ most recent strategy retreat, McCarthy took time to make personal visits to Trump's resort Mar-a-Lago.

Trump has other ideas. He’s told Republican lawmakers that his “make America great” platform is the only way forward, and those who stray can expect primary challengers with his backing.

“We’ve expanded the Republican party. You’ve seen it: The Texas border, we have the biggest Hispanic vote since … reconstruction,” he said. 

Donald Trump Donald Trump Photo: AFP / MANDEL NGAN

Trump’s detractors are also speaking out -- Cheney among them. She was among the highest-profile members of Congress to vote to impeach him after the Capitol riot.

Cheney, who represents one of the most right-leaning states in the nation, took responsibility for his exclusion from the retreat.

“I didn’t invite him,” she told reporters.

Should Cheney run in 2024, she may face some notable names in the Republican primary. Sens. Ted Cruz, R-Texas, and Josh Hawley, R-Mo., are expected to run, as well as former U.N. Ambassador Nikki Haley.