What's the difference between IOS,cIOS,MIOS and cMIOS?

I have some questions about difference between IOS, cIOS , MIOS and cMIOS. I'm still confusing and I know cIOS is not our rule.
So, what's the difference between does 4? And what are they do in wii and homebrew applications?

IOS are system files for the Wii. cIOS are modified files, used mainly for piracy. MIOS is for the GameCube mode. It must load GameCube games. I don't think cMIOS exists.

@JjStAr if you don't actually know then don't reply.

IOSes are the system files for the Wii which let games and homebrew access the hardware of the Wii. They contain modules with basically 'drivers' for the hardware of the Wii. There are many different IOSes on the Wii however only one can be running at one time.
MIOS is what allows GameCube games to run. It allows the GameCube games to use the Wii hardware (but only parts of it).
CIOS is a modified IOS which includes a homebrew module or some kind of patch.
CMIOS is a modified MIOS which allows things not seen in the official one.

Thanks everyone.