LP Modes

Hello experts!

We know that each LP mode is derived from the other modes.
For example,
[itex]LP_{01}[/itex] mode is derived from the [itex]HE_{11}[/itex] mode. Right?

But what are other modes for [itex]LP_{01}[/itex] mode? Means what are TH, TE and TM?

Should they designated as, [itex]TH_{00}[/itex], [itex]TE_{00}[/itex] & [itex]TM_{00}[/itex]?

Thank you all.