At least here in Virginia (I'm no insurance expert), a group is 2 or more people. My wife is officially a shareholder of my company, and so she and I have a group policy. We pay a little under $1000/mo to insure the two of us and our two girls.
I guess I could just ask an agent. I'm in IL, and a group minimum is also 2.
It did mean, though, that I have my own policy and my kids are under my wife's policy. So if my wife and kids go to the doctor a bunch and pay their deductible, should I need to go I'll have my own deductible to pay.
The small company I work for offers group insurance, but we all have to pay full price - they don't subsidize any of it.
They do take it out of our paychecks pre-tax so we don't have to pay taxes on it - but it would be tax deductible anyways at the end of the year.