I didn't have the PHB in front of me. Just listed the ones in the app I use. The app has every class, race, subrace, subclass, background, etc. even from other sources. Makes character creation a breeze and quite diverse... Lots of options to choose from.
You know, half the time I'm writing these posts, it's on my phone, on the go... And often I'm just going based on memory, so it's hard to always be super technical and exact... Trying to remember what's actual 5e and what isn't.
Cut me some slack. Sheesh.
