Who left with Socrates at the end?

At the end of the summary you guys write that "As he was about to end his argument, Aristophanes fell asleep, shortly before Agathon. Socrates then left, followed by Aristophanes." I believe this is an error as it is stated in the story that it was not Aristophanes who left with Socrates but Aristodemus. Correct me if i'm wrong, thanks.