The play group we go is pretty different to what everyone else has described.
They have all different stations set up with different activities and pretty much all parents are actively engaged with their child. There are times when the parents will have a chat if they want too aswell though, and the coordinators will play with them.
Morning tea is provided and the ladies that run it generally help the children while the parents stand around for socializing within themselves.
I'd say keep looking around as you might find something a little more like I described.