The Princeton police are investigating. The staff at the high school, which has 1,640 students, is meeting with the game’s players as well as student leaders. The Board of Education issued a statement saying, “Princeton Public Schools does not tolerate prejudices of any kind.”

In the stark light of television cameras, Ms. Ponder and the game players have become targets for some people’s anger, according to a school official. Ms. Ponder said that many of her classmates have felt her comments were “too harsh” and put the school in a poor light, prompting a few to try to plan a rally with the theme “Seeing the Good.”

Abby Santizo, a sophomore at the school, said on Sunday that students were so divided over the issue that they had taken to calling it “P.H.S.’s civil war.” Most believe the game was wrong, she said, but many also say that Ms. Ponder should have blurred the players’ faces in the photo, or tried to handle it within the school, rather than on a public blog. Those students fear that the publicity may hurt the players’ standing with their sports teams and their chances of getting into college. “I think that what she did with the posting was good,” Ms. Santizo said. “It just exploded way too quickly. It should’ve been handled within the school.”

Ms. Ponder said she had also received messages of support “from people across the nation.” She said the school administration was doing “all it can.”

“Putting the picture on social media means that someone was proud enough of the game to want to show it off,” she wrote in her blog post. “Meaning that they must be trapped in the delusional mindset that making a drinking game based off of the Holocaust is cool. Or funny. Or anything besides insane. Because that’s what this is: insanity.”