In the Ars Goetia, the first book of The Lesser Key of Solomon (17th century), he is depicted as a wolf with griffin wings and a serpent's tail, spewing fire from his mouth.
Before his fall, he belonged to the angelic order of Dominations (or Dominions), and when he was bound by Solomon, he told him that after 1,200 years, he hoped to return to Heaven ("unto the Seventh Throne").
[1] In the Pseudomonarchia Daemonum (1577) of Johann Weyer, the demon is called Marchocias, and his description is much the same as that given in the Goetia except that his gender when appearing as a wolf is female ("a cruel she-wolf") and spewing forth "I cannot tell what" from his mouth.
"[2] Collin de Plancy in his Dictionnaire Infernal (1818) draws on both sources for his description of Marchosias in his catalogue of demons.
Marchosias appears in the Legends of Tomorrow season 5 episode "Ship Broken", where he is a hellhound that was previously the dog of famed serial killer Son of Sam.