Ajax was the strong and courageous Greek hero featured in Homer's "Iliad," known as Ajax the Great. But it's also the name of a foaming cleanser, and if you find that reference too strong, you might try the shortened Jax instead.
Ajax, Greek commander in Shakespeare's "Troilus and Cressida"
Ajax the Lesser, Greek mythological hero
Ajax, brand of cleaning products
Ajax, villain from Deadpool
Ajax, member of the gang The Warriors in the movie 'The Warriors"
Ajax, the soccerclub of Amsterdam