Harhui Suzumiya

Haruhi Suzumiya (涼宮ハルヒ Suzumiya Haruhi) is the titular heroine of the series (original light novel series, TV anime, and manga). She is the founding member of the SOS Brigade with the purpose of finding aliens, time travelers and espers.

Although she doesn't know it, all the members of the SOS Brigade she recruits, besides Kyon, happen to fit into these groups (Yuki Nagato, Mikuru Asahina, and Itsuki Koizumi respectively). She is incredibly eccentric and usually anti-social, with no interest in "ordinary" humans. She also, unknown to her, has the god-like abilities to change, destroy, and reshape reality. It is said that if she were to become bored enough with the world, she could create closed space, meaning a new world which could prevent destruction in the "real world". After revealing themselves to Kyon, the trio of Yuki, Mikuru and Itsuki all state they were sent by their respective higher-ups to watch over her, and Koizumi specifically mentions they must keep her entertained so she doesn't become too bored.