I'm not sure I can order the types really. I'll just say which.

IEE, SEE, IEI, SLE, SEI, ESE, EIE, LSI, ILE, LII, ESI, LIE, EII, SLI, ..... LSE maybe but I'm not sure if I've run into one IRL.

That's most of them lol. I don't think I've been into an ILI yet.