She is one of the members of Hajime's clique who is also a "power user," her ability is the "Eternal Wink" which suggest that her ability is to put people to sleep.

The five members of the literature club awakened with extraordinary powers half a year ago. Although the members expected to be thrown into a world of super-powered battles at their school, their normal daily routine continued. No secret organizations bent on world destruction, no super-powered wars, no brave heroes or demon kings. However, the members still look forward to the possibilities of adventure, and continued to believe that with each day, they were getting ever closer to those days of fantasy. Their days of romantic comedy and battles with extraordinary powers begin!
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(Source: Anime News Network)

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"Andou Jurai is a second-year highschooler with the mind of an eighth-grade edgelord. His self-indulgent fantasies and over the top antics make him a constant pain in the neck for his friends in the literary club...until, that is, they all suddenly awaken to spectacular supernatural powers! Their godlike abilities include stopping time, manipulating the elements, creating matter from nothing, subverting the very laws of reality, and...producing black fire that doesn’t burn. (Some superpowers are more godlike than others.) Andou's read enough comics to know what comes next: it’s only a matter of time before they'll be dragged into life-or-death battles with the fate of the world itself at stake! The world, however, disagrees. There are no villains, no battles, no earth-shattering disasters—nothing whatsoever. Half a year later, the literary club finds themselves confronting a new question: what do you do with supernatural powers when your day to day life is as commonplace as ever?"
<br><br>(Source: J-Novel Club)

Hitomi Saitou