Who are the seven princes of hell? Who are the seven princes of Hell? 
I think I know them but I am not 100%. I believe they are Belial, Satan, Beelzebub, Asmodeus, Laviathan, Mammon, Belphegor, Lucifer. 
Could someone tell me if I am right and if so what hell are they in charge of please. If I am wrong could you tell me with their roles please.
According to Peter Binsfeld, you've got the list right.  He made the list in 1589; there was no support for that theory before then, and there has been very little support for that theory since.

As far as I know, there is no Christian tradition which adheres to there being seven princes of Hell.  More than that, at least the names "Lucifer" and "Satan" refer to the same entity.  Mammon is synonymous with greed or money (Matthew 6:24), but is sometimes personified also.  Asmodeus and Belphegor aren't even mentioned in the Bible.

Peter's list seems to have been extrapolated from the 7 deadly sins, without any scripture to back up his list.  Here it is.


Lucifer: pride
Mammon: greed
Asmodeus: lust
Leviathon: envy
Beelzebub: gluttony
Satan: wrath
Belphegor: sloth