There seems to be room and it would save steps and used by me far more often than some of the stuff in the list.

Quote by Seeker4
Seconding Kis' idea. There's too many steps to get to the one group that I am a member of. At the very least, the groups home needs to have a My Groups tab or something.
If your landing page is the default, i.e. your profile page, then groups is there in the options list under the cover image. If that was not there, and you had to go to your profile menu, then that would be an extra step.
I do now recall that Groups, as in those that you are a member of, was originally in the profile menu but at some point was moved to the profile page. I think that was done to make room for other additions, perhaps it was coins or whatever.