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She said: "This was a particularly nasty attack on a lone female. While the second woman did not take part in the robbery, the CCTV shows she did nothing to stop the victim from being attacked.
"We are following a number of lines of inquiry and hope that by releasing these CCTV images members of the public may be able to provide us with valuable information.
"The incident occurred in the early hours after some people may have attended Valentine's Day events near Purley station.
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"Perhaps you are friends of the women in the CCTV images and were with them earlier in the night? Perhaps one of them is your daughter, or college friend or even a workmate?"
The main suspect is described as white, aged between 20 and 25, 5ft 6ins tall, with black, shoulder-length dyed hair.
Her friend was wearing a khaki jacket, short skirt, black tights and boots. She was seen smoking.
Cameras caught the robber punching the woman in the face, pulling her hair and knocking her to the ground as her friend stands nearby.
Police described both of the robbers as aged in their early 20s.
Detective Constable Paula Eustace, of British Transport Police (BTP), said the woman was rescued by a railway employee who heard her shouts for help.