Yes. And Holding Reti Autostradali S.p.A. owns the 88% of that SPA.
And CDP S.p.A[0] owns 51% of that Holding.
And the Ministry of Economy and Finance owns 83% of the CDP.
So it's just a convoluted way to say that the state owns the majority of it.
[0] https://en.wikipedia.org/wiki/Cassa_Depositi_e_Prestiti