Mugil cephalus is its scientific name, but Italians usually prefer muggine, at least on menus. A thick lipped grey mullet (Chelon labrosus) is a bosega.
Naturally it has many other names, to wit:
Abruzzo: Cefalo mazzone, Mugella
Calabria: Cefalu verace
Campania: Cefalo verace, Cefaro mazzone
Emilia Romagna: Zòevli
Friuli Venezia Giulia: Zèvoli, Maciato
Liguria: Carida, Mussao
Marche: Baldighera, Mazzone
Puglia: Capocefalo, Capuozzo
Sardinia: Cefalu, Cafanu
Sicily: Capulatu, Lustru
Tuscany: Muggine caparello, Mazzone
Image by FAO