Hierarchys of epics

Hello!
We are using SAFE in our jira environment and we define our epics with a Epic Type custom field:
Portfolio
Feuture
Program
And the epics gets a Issue link with Is implemented by.
I wonder if its possible the display a hierarchy like this:

Epic (Type Portfolio)
Epic(Type Program)
Epic(Type Feuture)

And get progress, or do we have to create new issuetype to be able to do this ?