On the complaint made by the girl, a case was registered against three persons out of which two have been arrested, they said.
According to the complaint, the victim came to Gonga village on December 1, where one Jitendra misguided her and took her to a house in Shital Colony of Raya town area.
"Jitendra called his two friends Ravi and Rahul and the trio raped the girl, and filmed the crime on their mobile phone," police said.
The girl alleged that Jitendra and his friends threatened to circulate the MMS if she did not meet them as per their directions.
On her complaint, Ravi and Rahul were arrested, police said.
Ravi and Rahul were produced in court, which sent them to judicial remand, police said adding, efforts were being made to arrest Jitendra at the earliest.