Jira Software only implements Epic -> Task -> Sub-task.
You can get more layers with Portfolio for Jira, Jira Align or Structure for Jira. There's some other stuff you might look at, but those are the only three fully intended to create more layers over Epic
You will need a tool, such as Portfolio for Jira, to create a higher level. Portfolio will give you the ability to create Initiatives, which can roll up Epics. Themes can also be used to roll up Initiatives.
I believe Big PIcture will provide you with Programs, that are similar to Initiatives.
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