Every fingering that fits a hand
x554
easy
a99x
easy
a998
hard
a99c
hard
What is true of it
Faug is F, A and C♯ — 1, 3 and #5 counted from F.
The easiest of the 4 fingerings below is x554: 3 fingers, held at the 4th 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.
1 string stays silent.
Where its notes are on the neck
The brass dots are F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Faug/A
2110
Faug/C♯
x110
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.