New Order

New Order is the Quirk that was formerly used by Cathleen Bate, until it was stolen from her by Tomura Shigaraki.

Description
New Order allows the user to set a rule onto their surroundings, allowing them to manipulate and bestow new properties onto themselves and the world around them. This can range from simple descriptions to more conditional ones based on cause-and-effect. Cathleen can give herself additional abilities, as well as manipulate the condition of her opponent's body. She can even use her power on incorporeal things, like the air.

It is described as a power that redefines what a Quirk can be.

Weaknesses
In order for New Order to activate, Cathleen needs to both touch the target and say its name. However, when targeting a living being with a sense of self, Cathleen's understanding of the target's identity must align with their own. This is shown when Tomura Shigaraki's heart didn't stop when he moved, due to even him questioning his true identity, as either Tomura, All For One, or "Tenko". Because of this, inanimate objects are much easier targets to set rules on, as without a sense of self, Cathleen's one-sided understanding of it is enough to enforce the rule.

The effects granted by her Quirk are not omnipotent, as there are limits to how great they become (i.e. she cannot make herself the most powerful person in the world). Cathleen can also only impose two rules at any given time, so if she decides to implement a new rule, one of the previous rules has to be disengaged. A rule also can't arbitrarily effect another target she hasn't touched through clever wording (i.e. after she touches the air, making it so that someone who also touches the air will die).

Due to Cathleen setting a rule that New Order would revolt against other Quirks, New Order now acts like a virus within the body of Tomura, purging several of his Quirks, making him unable to use it or any other Quirk while he explodes from the inside out.

Usage
Cathleen constantly keeps one rule active, which allows her to grant herself superhuman physical characteristics (i.e., super strength, super speed, super durability, etc.) and means she's similar to, but still considerably weaker than, All Might was in his prime. In her battle against "Tomura", she uses her Quirk to remove all the air one hundred meters in front of her (around "Tomura"), forcing him to hold his breath, as well as to safely catch a laser that was reflected back towards her. In more desperate situations, Cathleen disengages her constant rule of superhuman physical characteristics. This allows her to use Super Moves with two rules, but subsequently makes her more vulnerable and physically weaker.

When "Tomura" succeeds in stealing New Order, Cathleen uses one last rule in order to stop his Decay from killing her, which only ends up delaying it by reaching the limit of how strong her body can become. She also secretly declared another rule on New Order itself, causing it to revolt against other Quirks, resulting in a vestige of Cathleen tearing apart Tomura, All For One, and the vestiges of the stolen Quirks, even destroying several of them, as well as causing Tomura's physical body to rupture.

Trivia

 * New Order's name may be a reference to the Latin phrase  ("New order of the ages"), which is used as a motto on the reverse side of the.