How to group similar items in a list using Haskell?

Given a list of tuples like this:

dic = [(1,"aa"),(1,"cc"),(2,"aa"),(3,"ff"),(3,"gg"),(1,"bb")]

How to group items of dic resulting in a list grp where,

grp  = [(1,["aa","bb","cc"]), (2, ["aa"]), (3, ["ff","gg"])]

I'm actually a newcomer to Haskell...and seems to be falling in love with it..
Using group or groupBy in Data.List will only group similar adjacent items in a list. I wrote an inefficient function for this, but it results in memory failures as I need to process a very large coded string list. Hope you would help me find a more efficient way.