Having been trained by Hecate, Zagreus does have three forms like Hecate.
Zagreus' Emblem can be seen below
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Zagreus' Muse form was gifted with the arts by Apollo and th Muses. The Muses then trained her in the gift
FC: Selena Gomez
Disclaimer: I am not her or associated with her work in anyway

EX

Zagreus
Wild Goddess
“Mistress Gaia, and Zagreus highest of all the gods”

“Night-ranging Zagreus, performing her feasts of raw flesh; and raising torches high to the mountain Mother among the Curetes”
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Hades
Goddess of the Underworld
"The Warden of the Shades and the third heir of the world, after the lot's unkind apportioning, leapt down from her chariot and grew pale, for she was come to Tartarus and heaven was lost forever."
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Hybris
The Insolent Goddess
"Listen to right and do not foster Hybris; for Hybris is bad for a poor man. Even the prosperous cannot easily bear her burden, but is weighed down under her when he has fallen into delusion.”
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Nemesis
Vengeful Goddess
“And then Aidos and Nemesis, with their sweet forms wrapped in white robes, will go from the wide-pathed earth and forsake mankind to join the company of the deathless gods.”
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Styx
Daughter of Nyx and Okeanos
"And there is housed a goddess loathed even by the immortals: dreaded Styx, eldest daughter of Okeanos, who flows back on himself, and apart from the gods she lives in her famous palace..."
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Looking good as always