Police on Thursday arrested seven persons in connection with the group clash in which three students were seriously injured.
The incident occurred at Dr Ambedkar Law College in Chennai on Wednesday.
"ACP Narayanamurthy and inspector Sekar Babu have been suspended while four Sub-Inspectors have been transferred out of Chennai," Chennai police commissioner R Sekhar told PTI.
The arrested students were remanded to custody, he said.
Meanwhile, the police have detained a few persons in connection with the burning of a bus in Chennai in the wee hours of Thursday.
However, Sekhar ruled out any connection between the Law College incident and the bus burning episode, and said it was an "offshoot" of an incident relating to damaging of an Ambedkar statue.
Police sources said the incident was the follow up of a caste-related clash between the two groups.