The videos - which were made public by The Daily Orange, an independent student newspaper - shows one person encourage another to get down on his knees and recite an oath that includes highly offensive racial slurs against black, Hispanic and Jewish people.
In the midst of the controversy that has rocked the Syracuse campus, Chancellor Kent Syverud called the latest Theta Tau video "appalling and disgusting" in a statement Sunday. Syracuse.com reports that students could face suspensions of expulsions.
"We know this issue extends beyond one fraternity and one video", Syverud said, adding that the university has "begun a top-to-bottom review of our entire Greek system".
The chancellor said on Saturday that the investigation of students involved in the video has been pursued with "speed and with vigor".
"In the last 72 hours, our department of public safety has interviewed 38 individuals, with more to be completed over the next few days", he said. Theta Tau was later suspended.
"I am deeply concerned about how the continuing exposure to hateful videos is causing hurt and distress to members of our campus community", he said, while acknowledging that the NY school had known about the latest clip since the first one emerged and sparked outrage on Wednesday.
It was a satirical sketch of an uneducated, racist, homophobic, misogynist, sexist, ableist and intolerant person.
"I am deeply concerned about how the continuing exposure to hateful videos is causing further hurt and distress to members of our campus community", he said.
Syracuse University permanently expelled the Theta Tau chapter over the weekend and charged 18 students with undisclosed offenses.