Mineko Fuji teaches at Aihara Academy and has a reputation that keeps students in line—she confiscates their belongings and gives stern lectures whenever they break school rules. These talks happen in what everyone calls "Mineko's Room," a space that's basically become legendary among the student body.
The name "Mineko's Room" is a pretty direct nod to "Tetsuko's Room," the famous talk show hosted by Tetsuko Kuroyanagi, and Mineko's own name likely plays off that same reference. Some fans have also noted that her name might be a callback to Fujiko Mine from Lupin the Third.
Visually, there's a noticeable difference between how she appears in the manga versus the anime. In the manga, she's drawn in a chibi style, but the anime gives her a more realistic look to match the other characters better.
Content compiled by AnimeList.moe from publicly available sources.