Within a project I can see that a user is listed under the "Administrators" project role, with the "jira-administrators" group. However, when I go into "User Management" and filter for "In Group: jira-administrators" this user does not show up. They do show up under "In Group: jira-project-administrators"
This is somewhat confusing. On the one hand they don't seem to have overall JIRA Admin privileges, which is good, but I'm not entirely sure what privileges they do have, or why the group names are mixed up.