So someone linked this to me this morning. It looks like these guys are called Neo-Alpha, Seeda, and Pyron. The link said they're based on Alpha, Beta (Β β), and Gamma (Γ γ) But it looks a lot more like Alpha, Theta (Θ θ), and Pi (Π π) to me. I mean, Seeda sounds like Theta and has the theta mark in white on the side.
Also, I don't think these guys were used in the Faiz stage shows. I remember Faiz having a white lady and black guy as Dark Slasher and Dark Rider from this link: http://www.eonet.ne.jp/~kamia/hs/040104.htm
And I think I remember a green Agito, but I don't remember these guys. Maybe someone else knows?