WordPress image galleries using categories

I’m looking for a WordPress plugin which makes it possible to create categories and put some galleries in that category.

For example: I’m going to my photo album page. On that page there are all my categories by viewing some thumbnails (e.g. categorie 1, categorie 2, categorie 3). Then I can go to one of those categories which contains all my galleries (e.g. categorie 1 cointains gallery 1a, gallery 1b, gallery 1c. Categorie 2 contains gallery 2a, gallery 2b, gallery 2c.)

Is that possible to achieve?