The buttons you see correspond to the "load" and "delete" fleet compositions. It lets you load any fleet you previously saved without the need of looking for each one of them through the list of units. So as much as they hide, they won't scape.
This is super convenient, isn't it☆Refers to the October 30th, 2015 update which allows players to save the fleet composition and deploy them with ease.Sazanami-kun.Aye, aye sir.After tolerating daily hard labor, Goya's group has decided to run away from the base.