Company subscriptions

What would be the best way to achieve this end result.
I have company subscribers. So the main subscriber is the company and then it will have a number of people within the company that can access the site as part of that subscription.
There will be a main point of contact for the subscription that is most likely also a user in that subscription.
Should I set up Groups for each company in Joomla?
Or is there a better way to achieve this.

I have learnt a bit more about this but still not clear how it would work best for what I am trying to do.
I have activated the plugin for Groups and a set a max number of members for a plan.
I am able to I can log in as the user and add people to my group.
I then see them seemingly set up as another not. I am not sure how an admin can see they are part of the group.
Also I dont want my subscribers to be able to add users to their group, I want to do it as an admin.
Obviously I can remove the menu option from the front end to remove users ability to add group members, but how do I do it in the back end as an admin?
So I am keen to have this structure:

Company subscription, 12 months, expires 16 April 2016 - main point of contact Bob Smith
Then Jane Smith, Simple Simon and Jimi Hendrix as the other users in that subscription.

(Developer idea - set it so it charges an incremental rate for extra users in the account).

Perhaps adding something to the user page that lets them add more people to that one subscription is a good idea.