The 19-year-old gave detectives the snap after they were called to the scene near the party strip of Punta Ballena.
A spokesman for the Civil Guard confirmed this morning/yesterday morning they had yet to make any arrests.
A source said they were working with a photo of one of the alleged offenders, thought to have been on a mobile phone the woman was carrying.
He said: “She had a picture of one of the men she said had raped her and assured officers she could identify him.”
Local reports have identified the woman, who will only turn 20 in January, as Scottish.
It is not clear if she was on holiday in Magaluf or was living and working in the area.
Police were called around 1am on Saturday.
The woman was crying and told officers she agreed to go to the beach with a male friend she knew from nights out in Punta Ballena but was gang-raped by him and two uninvited pals of his.
She said she had called out for help while she was being forced to have sex but no-one came to help her.
DNA tests are being performed on her clothes to try to extract evidence.
The nationalities of the alleged offenders has not been revealed, although they are thought to be British.