Not exactly random, but you won't know in advance, no. The Admin will decide what datacards it is appropriate for you to receive. You also get the facility datacards appropriate to the faction type, which you can see on the faction creation page.
In fact, maybe you should go looking at that page instead of asking questions that might have answers there?
"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."