An Organization, in Studio and the API, represents the paying customer. It is a 1:1 relationship between the contractual owner of a Sensor or Cloud Connector and our Studio or API, and it is not possible to create new Organizations via the API.
Representing "customers of customers" is best done on the Project level in Studio. It is possible for the Organization Admin to create new Projects both in Studio and the API.
Please see the Concepts page on the developer site for more information on the general concepts of Studio and the API.