The crime was committed around a month ago but the victim lodged a report in Mahila police station of Baran district after she came to know about the video being uploaded on social media, they said.
Police have booked the six persons under section 376 of the IPC and various sections of the IT Act but none of the accused have been arrested so far.
The woman, who works as a labourer at a roadside dhaba in Kota, lodged a complaint on March 5 against the six youths, SHO Mahila police station, Baran Anis Ahamed said.
Five others joined Meena and they took turns to rape her, the victim said, alleging that the accused also filmed the crime on mobile.
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They dropped her near her in-laws' house the next day and threatened to kill her family members if she disclosed the matter to others.
The victim's statement would be recorded before a magistrate on Monday, the SHO said.
Further investigation into the matter has been handed over to the DSP, Baran, the SHO added.