I'm trying to remember the name of the manga that has these traits:

The main protagonist is female who transfers to a private island school that her friend goes to.
The school is owned by a prestigious company.
The school turns out to be a sexist dystopia where the males own the females and battle by using a glove to summon a weapon from a mark on the female's chest.
The protagonist is the only female with a summoning glove.
The student-council president wears a mask over one eye.

"You are weak, from the moment you could only use your life as an excuse for committing crimes, you insulted that very life. You didn't notice, you were afraid of noticing, and you went around destroying everything that could make you notice, but you have also crushed your ability to ever gather respect." -Shokuhou Misaki

Shitsurakuen

~4400 manga completed
~1700 ongoing...

This is it. Thanks! 😮

"You are weak, from the moment you could only use your life as an excuse for committing crimes, you insulted that very life. You didn't notice, you were afraid of noticing, and you went around destroying everything that could make you notice, but you have also crushed your ability to ever gather respect." -Shokuhou Misaki