The Multivee person already answered your question, so I'm doing this just because the rules say we can't answer with only links.
Real types: Normal-, Fire-, Water-, Electric-, Grass-, Ice-, Fighting-, Poison-, Ground-, Flying-, Psychic-, Bug-, Rock-, Ghost-, Dragon-, Dark-, Steel-, Fairy-.
Source and Type Chart
Glitch types: 'l) m) ZM, ?, /6!2?2 A, ,K PkxX, 8 8 9 5, 99||9, B, Bird, CoolTrainer♀, Glitch, IIIItoto, Normal, Pokémaniac, Qi JT? POké BB de W N, x v zA, , ' ♀ ♀ ' 2222 37572, 66848.04, L
'l) m) ZM has the same type effectivenesses that Steel- has in generations 2 to 5. The other glitch types are neutral to everything.
Source