Every fingering that fits a hand
x110
moderate · barre
655x
easy
6554
moderate
6558
hard
6998
hard
What is true of it
D♭aug is D♭, F and A — 1, 3 and #5 counted from D♭.
The easiest of the 5 fingerings below is x110: one finger, one of them barring the 1st fret, held at the 1st 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 of the 5 need a barre.
1 string stays silent.
Where its notes are on the neck
The brass dots are D♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
D♭aug/F
x554
D♭aug/A
2110
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.