Each COMP only has a limited amount of storage space, so about ten or so is the limit for a single COMP. It's only capable of handling two demons out at a time though. It could have been more, but keeping everything separate so that no unfortunate accidents occur was difficult enough.

Though personally I know how to summon... a great many. I did have a Garuda and a Behemoth before I came here. I'm rather fond of the Avian family of demons. Their racial ability allows me to get around much faster than even I can on my own.