GP Gakuen Seitokai Shikkoubu (2008)

Blurb:
It’s the renowned Great Place Academy, home of the most famous, most terrifying student council president, Rin Amanohara, and vice-president, Eichi Shidoh. Is there anyone—within the school or without—brash enough to oppose them!? That’s what’s been bothering Amanohara lately, with the emergence of the Information Management Club, whose members are independently organized. Every day they meet it’s like a rebellion. But even there, the fires of love find ways to ignite. And how will this partnership progress as a secret love grows bolder?

Source: www.anisearch.com/manga/14624