A fourth man who the woman had initially met on dating app Tinder is also facing charges as the alleged crimes' facilitator.
The woman began giving evidence at Sydney's Downing Centre District Court on Wednesday, saying she only sent "quick messages" to that man and did not discuss the prospect of group sex.
One of the men's lawyers told the jury her story would be "heart-wrenching if it was true".
Before Rami Katlan (right) had sex with the woman, she allegedly said "I want to stop". (Duncan Murray/AAP PHOTOS)
Omar El-Sayed, 26, Rami Katlan, 26 and Mohammed Ali, 22, pleaded not guilty to two counts of sexual intercourse without consent and two counts of aggravated sexual assault in company.
Adam Ahamd Kabbout, 27, has pleaded not guilty to six counts of aggravated sexual assault in company.
Prosecutors allege that in the early hours of April 16, 2022 the woman willingly met Kabbout at her apartment at Belmore, in southwest Sydney.
The woman went to take a shower in an ensuite bathroom and when she emerged she found El-Sayed, Katlan and Ali were also in her apartment, crown prosecutor Danny Boyle told the jury on Tuesday.
He said the woman told Kabbout she wanted the men to leave, but instead they entered the room one by one and raped her despite repeated calls for them to stop.
Prior to Katlan having sex with the woman, she allegedly said "I want to stop" before Kabbout allegedly replied "not yet".
Mr Boyle said the woman again asked the men to leave after being raped by Ali.
Kabout allegedly put both his hands on her cheeks and said, "OK it's your loss."
Lawyers for the men said it was not in dispute that El-Sayed, Katlan and Ali all had sex with the woman, but they dismissed her version of events as untruthful.
Ali's lawyer Julia-Ann Hickleton said the woman told police that after the men left she curled herself into a ball and cried before eventually falling asleep.
"Heart-wrenching if it was true, but it's not," Ms Hickleton said.
"It is a deliberate and calculated lie."
El-Sayed's lawyer James Trevallion said his client initially denied having sex with the woman when questioned by police as at the time he was engaged to be married.
"After that night he felt ashamed and embarrassed," he said.
"He was about to get married. He cheated on his fiancee."
Kabbout's lawyer April Francis told the jury they might not be familiar with the "anonymity of intimacy" involved with Tinder and online dating in general.
"People can lie or misrepresent the true state of affairs for all sorts of reasons," she said.
"Sometimes the reasons never become apparent."
The trial continues.
1800 RESPECT (1800 737 732)
National Sexual Abuse and Redress Support Service 1800 211 028