A Catholic group is escalating its battle with Milwaukee-based Miller Brewing Co. by sending photographs of a sex-themed San Francisco street fair the company sponsored to religious leaders and others in the firm’s hometown.

“We are mailing pictures of the anti-Christian and sadomasochistic Folsom Street Fair that Miller so proudly sponsors to Milwaukee Archbishop Timothy Dolan and to the 211 Catholic parishes in the archdiocese,” the president of the Catholic League, William Donohue, said in a statement yesterday. “Every week we will announce a new segment of the Milwaukee community that will receive the photos.

The Catholic League called for a boycott of Miller after fair organizers circulated a promotional poster modeled on Leonardo da Vinci’s “The Last Supper” and featuring men and women clad in bondage attire. Miller apologized for any offense and asked that its logo be removed from the poster. However, the posters were already printed and in circulation. Miller has said it is reviewing its marketing practices, but Mr. Donohue complained that the firm has not promised to reject sponsorship of any “anti-Christian” event.

“If Miller wants to be so bold as to throw Catholics and Protestants overboard for the sake of siding with the most morally depraved persons in our society — people with whom no self-respecting heterosexual or homosexual would ever associate — then it must suffer the consequences,” Mr. Donohue said.

A spokesman for Miller, Julian Green, said the firm had no comment on the Catholic group’s latest tactic.