What is true of it
G♯11 is G♯, B♯, D♯, F♯, A♯ and C♯ — 1, 3, 5, b7, 9 and 11 counted from G♯.
On an instrument that cannot reach all 6, the 3, 5 and 1 go first, in that order.
The easiest of the 1 fingering below is 1121: 2 fingers, 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.
It leaves out the 3 and 5. 4 strings cannot carry 6 notes, and the 3 is the one this chord can lose without changing what it is.
Where its notes are on the neck
The brass dots are G♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
G♯11/B♯
5664
G♯11/D♯
8a99
G♯11/F♯
x664
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.