I can search by Group name under Contacts -> Manage Groups -> Find but that does not find Smart Groups unless 'smart' is part of the name I created for the Group. How can I find all Groups of type Smart Groups?
Curious as to what your use case for this is.
This is currently not part of group search. I suspect its an easy modification to add a checkbox to group search to include (or exclude) smart groups (along with any other criteria mentioned)
The DB query changes to enable this is relatively easy (column saved_search_id is NULL / NOT NULL)
It's not part of group search currently. As Lobo said, adding it would be a fairly quick task if you are a developer or wish to hire one.
One workaround would be to use the api explorer (in the menu, Help > Developer > API Explorer).
Input like this:
Will give output like this: