Remember a society is not meant to encompass the population as a whole, so in terms of referring to Criminology, there is the criminal society - or criminal network.
To answer your question, it depends on the type of society you're trying to define, some societies have very rigid heirarchical (spelt?) structures, others, as Bruce pointed out can be chaotic. Pick the most simple version - personally, I'd use node and lines, you can group nodes into any formation, and represent the social connectivity using the lines.
I'll get my coat ...