Every fingering that fits a hand
x033
open
5033
easy
503x
easy
578x
easy
What is true of it
C5 is C and G — 1 and 5 counted from C.
The easiest of the 4 fingerings below is x033: 2 fingers, held at the 3rd fret.
1 of them use open strings, which is what makes a shape quiet to change to.
1 string stays silent.
Where its notes are on the neck
The brass dots are C, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
C5/G
0033
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.