Based on the NIST 800-145 guide, which cloud architecture may be owned, managed, and operated by one or more of the organizations in the community, a third party, or some combination of them, and it…

A hybrid cloud is a composition of two or more distinct cloud infrastructures, not defined by shared ownership across multiple organizations in the way a community cloud is.

A private cloud is provisioned for exclusive use by a single organization, not multiple organizations within a community.

A public cloud is provisioned for open use by the general public and typically exists on the premises of the cloud provider, not managed by a community of organizations.

The NIST SP 800-145 defines a community cloud as provisioned for exclusive use by a specific community of consumers from organizations that have shared concerns (e.g., mission, security requirements). It may be owned, managed, and operated by one or more of the organizations in the community, a third party, or some combination of them, and it may exist on or off premises.