The incident was reported from south Delhi on Friday.
The victim studies in a school in Gurgaon, a senior police official said.
She was first raped allegedly by her sister-in-law's father in Vasant Vihar.
"She fled from the house after she was raped allegedly by her sister-in-law's father and was waiting for any vehicle on Mahipal Pur road. She was abducted by three persons and gang-raped in a moving car," the official said.
The girl was then left at around 4 am on Saturday on a secluded place in Dwarka Sector-19.
"She raised an alarm there and a PCR team patrolling nearby locality chased the car and one of the accused who was driving the car Vijender was arrested," the official said.
A case has been registered on the basis of the statement given by the victim.
The father-in-law of her sister and two friends of Vijender are absconding.