Every fingering that fits a hand
x341
easy
8866
hard
886x
easy
8abb
hard
What is true of it
D♯sus4 is D♯, G♯ and A♯ — 1, 4 and 5 counted from D♯.
These are also the notes of G♯sus2/D♯ and A♭sus2/D♯. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 4 fingerings below is x341: 3 fingers, 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 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♯sus4/G♯
1341
D♯sus4/A♯
334x
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.