Assuming you are using JIRA Cloud, have a look here: https://confluence.atlassian.com/cloud/manage-groups-744721627.html
The "Default Groups and Permissions in Atlassian Cloud" section covers the diifferences between 'administrators' and 'site-admins'.
And this page has information about the 'JIRA Adminstrators' global permission: https://confluence.atlassian.com/doc/global-permissions-overview-138709.html
Hope this helps a bit.
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