Types of Admins
Jira and Confluence admins fall into one of the following categories:
System Level Administrators can perform every administration function. This level only exists in Server and Data Center. For Cloud, Atlassian is your system administrator.
System admins do things like:
Application Level Administrators can perform most administration functions like:
Jira Project Level Administrators can manage settings for individual Jira projects. They can:
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Create and manage components
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Create and manage versions
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Manage users in a specific project
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And more
Confluence Space Level Administrators can manage settings for global spaces. They can:
Admin Abilities
While the abilities differ, a user can be multiple types of administrators at the same time. For example, an application administrator may also be a project administrator.
All users have a “cog” or “gear” icon at the top right of every Jira or Confluence page. The available options in the menu depend on the application and admin type however.

Cog icon at top right of Jira Cloud
Part 3: Combined Permissions (Server and Data Center)