New Mandi police station SHO Rajnath Tyagi said the incident happened three days back and a case in this connection was registered yesterday by the victim's family.
According to the complaint, the four youths - Sidharth, Ankit, Monti, and Atul Kumar - abducted the girl and took her to a flat where they raped her.
They also allegedly made a video clip of the act and circulated it on social media, the police said.
They said the victim has been sent for medical examination and would be produced in a court for recording her statement under section 164 CrPC.
The four accused have been absconding.
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