A hacker group identified as the 'Impact Team'

The chief executive of dating for adulterers website Ashley Madison stepped down on Friday after hackers leaked its membership list online.

Parent company Avid Life Media, which operates the infidelity network, said it and CEO Noel Biderman were in "mutual agreement" about the split.

"This change is in the best interest of the company and allows us to continue to provide support to our members and dedicated employees," Avid Life Media said.

Meanwhile, the firm is "adjusting to the attack on our business and members' privacy by criminals," the company added, vowing uninterrupted member access to its website.

Other senior managers will step in to fill the void let by Biderman's departure until a new boss is appointed, Avid Life Media said in a statement.

A hacker group identified as the "Impact Team" last week released emails and user account information of members stolen from the company's servers, as well as corporate emails and sensitive computer source code.

Canadian police have said two suicides may be linked to the leak of the website's 32 million members' personal data.