Every fingering that fits a hand
6543
hard
6888
hard
x113
moderate · barre · no 5
6588
hard · no 5
658x
easy · no 5
What is true of it
C♯maj7 is C♯, E♯, G♯ and B♯ — 1, 3, 5 and 7 counted from C♯.
On an instrument that cannot reach all 4, the 5 goes first, in that order.
The easiest of the 5 fingerings below is 6543: 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.
1 of the 5 need a barre.
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
C♯maj7/E♯
ac9b
C♯maj7/G♯
1014
C♯maj7/B♯
x014
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.