This being a Nagai Go work, they might literally be from Hell.
(As it's a lighter work, I doubt it, but the possibility is always there.)
The Principal, whose name is The Toenail Of Satan. I'm serious. He always wears a really stupid-looking mask himself, and is usually muffled in a purple robe with what appear to be antennae on the hood. However, he sleeps in his underwear and a filmy negligee (which sight is high up on my list of things I did NOT need to see. Ever). He is the biggest pervert in the show, and could probably give most of the denizens of the Nagaiverse a run for their money.
His philosophy seems to be "If the girls don't do well in school, humiliate
them and otherwise punish them until they do." While this strategy works
on occasion, it is, in my opinion, one of the stupidest principles
possible on which to run a school. (Especially given its corollary, "Who
cares about the boys? Ignore them as long as they stay out of our hair.")
On the other hand, given the number of students who don't understand and
never will under these conditions, it's a good strategy for giving oneself
excuses to run one's own private pornographic floorshow.
The Toenail Of Satan is voiced by Yanami Jouji.
Gestapoko is the first punishment teacher we encounter. She seems
to have stepped through a time warp from Nazi Germany; the theme is carried
through in her uniform, in her goons, in her goons' uniforms, and in some
of her mannerisms.
She is also a dominatrix (her short uniform jacket has S on one breast
and M on the other) and prefers to use the whip. (But then, a big part
of the SA's appeal to its members was the license to be *very* nasty to
people who weren't supposed to resist, so it makes perfect artistic sense.)
Her seiyuu is Kamiya Kazue.
Shuuwarutsu Negataro is originally thought to be the gym teacher.
He's handsome and, if one is attracted to muscles on top of muscles on
top of muscles, rather sexy, I suppose. (He'd certainly be the only male
in this series to be so if he were. I don't see it.) He's also hinted
to be gay.
If so, I'm not quite sure why he has the job, since the teachers never
punish male students. He uses his sex appeal (I suppose he must pump out
incredible pheromones or something. No, wait, that doesn't follow) as a
weapon. However, you have to see it for it to work...
He is voiced by the well-known Genda
Tesshou.
Mizutamari Tsuyokarou (Runoffpool He's-Strong) is a samurai who
was persuaded to the personally distasteful task of punishment teacher
by being promised a battle with Kekkou Kamen, the rumor of whose strength
and battle prowess seems to have gotten about. He has very little respect
for his employers (and shows it!) and seems to be the traditional honor-driven
samurai (honor defined as winning in a fight) taken to extremes. Kekkou
yells at him for forgetting what honor really is.
His seiyuu is Yanada
Kiyoyuki, who has played such characters as Tamiya-sempai in Aa! Megami-sama,
Gateau Mocha in Bakuretsu Hunters, and Shutendouji in Samurai Troopers.