At the present time, I will not go into much detail here about the C shape barre chord. It is probably the 3rd most common barre chord shape. It takes the C chord below, rotates the fingers to free up the index finger, slides the whole shape up and applies the barre, as seen in the diagrams below:
Some people only “barre” the first three strings, since the 6th string is supposed to be muted. My preference is to barre all six strings and mute the 6th string. Barred in the first fret like this gives us the C# chord. Barred in the 3rd fret gives us the Eb chord, etc.
Technically, you can create barre chords from any normal shape chord, they just get more difficult from here.