Every fingering that fits a hand
5533
moderate
553x
easy
5788
hard
What is true of it
Csus4 is C, F and G — 1, 4 and 5 counted from C.
These are also the notes of Fsus2/C. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 3 fingerings below is 5533: 4 fingers, held at the 3rd fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
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
Csus4/F
x533
Csus4/G
001x
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.