The woman said that she was in a relationship with Srinivas, one of the accused, for the past one year, they said.
Srinivas and his two friends -- Ravi and Venkat -- raped her on the night of March 3, Kukatpally inspector K Purushotam said.
The woman, a labourer, today lodged the complaint.
According to the the woman's complaint, Srinivas and his friends came to her house and had drinks. They gave her drinks and later raped her, police said.
All three have been taken into custody and the matter is being investigated, they said.