Ahh I see. A game I was in a while back used a very detailed Google Docs spreadsheet. It had spots for friends, enemies, frenemies, significant others, etc. It wasn't a pretty table or anything, but it worked. They set it up so that the players could work to keep it updating so it wasn't all on the mods.
The other thing I could suggest would be a table like this or this, using icons/whatever text you want to show who is with whom. Or maybe the second code on this page?
I've used this one the way you mentioned, using icons in the first and third columns, and text about the pair in the middle column.