Donald Trump unofficially continued his first U.S. Republican presidential debate last night on social media, taking to Twitter to criticize one of the moderators and attack others who felt his performance fell short.

Trump, who was joined by nine other candidates at the debate Thursday evening, faced tough questions about his past disparaging comments about women and being the sole candidate to refuse to pledge his support to the eventual party nominee.

After the debate, Trump had some less-than-kind words for one of the debate's hosts, Fox News anchor Megyn Kelly.

During the debate, Trump had already taken issue with Kelly's treatment of him. Following a question about past disparaging remarks about women, he said, "Honestly, Megyn, if you don't like it, I'm sorry. I've been very nice to you, although I could probably maybe not be based on the way you have treated me."

After posting tweets directed at Kelly, Trump focused on retweeting some of his supporters who were also critical of the host.

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Trump also had harsh words for Frank Luntz, a pollster and the founder of Luntz Global, which runs focus groups.​

Luntz was holding a focus group during the debate and tweeting about how Trump's performance influenced people's perception of him.

Trump did not take kindly to Luntz's criticism and accused him of picking people for his focus group that were anti-Trump.

Luntz took the allegations in stride, tweeting out a link for people to sign up for his focus groups if they want to "set them straight."