I\'m not sure how that is possible.
Alliance: A close association of nations or other groups, formed to advance common interests or causes
IMO, you can\'t have two different alliances, unless the two groups with whom you are allied are also allied with each other. (In which case, you are all part of the same alliance.)
It seems easiest to express in mathematical terms:
A=B and A=C implies that B=C
An alliance implies, among other things, an agreement of mutual protection. How would you react if your two allies went to war against each other? Which side would you choose?
You could have friendly relations with multiple, non-aligned guilds, but not alliances. You could have trade agreements, sharing of knowledge, etc., with any number of groups, but you can only be aligned with a single entity at a time.