Police today said they have arrested one of the accused.
The incident was reported from Raghubir Nagar.
The girl alleged she was sexually assaulted between August 25 and September 1 when she was staying at the house of one Kishore in Raghubir Nagar area.
She had come to the national capital with one of her acquaintances Imran, who had promised to help her look for work as a domestic help here.
Initially, the victim got the job through a placement agency in Khayala but she did not like it and left the job.
She contacted Imran again to help her out. Imran introduced her to Kishore and asked her to stay at his rented accommodation in Raghubir Nagar for a few days.
"The victim claimed Imran and Kishore along with their two other friends - Mithun and Lalu - raped her from August 25 to September one. They used to beat her and force her to consume alcohol," a senior police official said.
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Police said they were also investigating the allegations that Kishore's wife was involved in the crime.
Later she managed to escape from their clutches and approached her relatives in east Delhi's Shakarpur who informed police.