The standard grips this chord is usually shown with.
C#maj7b5 is C#, E#, G and B#, a major seven flat five. The shape this page opens on is written x43563, lowest string first.

Also written C#M7b5, C#Δ7b5 or C#maj7(b5). The same chord either way; which spelling you meet depends on who wrote the chart.
There are 5 common shapes for C#maj7b5 on the guitar, and 27 derived voicings in 3 families.
In which keys. Every note of C#maj7b5 belongs to F minor (the ♭VI) and Ab major (the IV).
The common shapes, written lowest string first: x43563, x4556x, 9-8-10-10-8-8, 9-10-10-10-x-9, x-x-11-12-13-13.
Shell. Root, third and seventh: the guide tones fix the quality, so the fifth is dropped. That is what leaves a string free, so pick a tension to put on top. C#maj7b5 has x4x563, 9-x-10-10-8-x, 9-8-10-12-x-x, x4358x, x-x-11-10-13-15.
Drop 2. A close-position chord with the second voice from the top lowered an octave. Sits on four adjacent strings. C#maj7b5 has x3302x, 3435xx, x4556x, x-x-10-10-8-9, 9-10-10-10-x-x, x-x-11-12-13-13, xx3523, xx5668.
Drop 3. The third voice from the top lowered an octave. The dropped voice becomes the bass, which is why a string is skipped. C#maj7b5 has x3x021, 3x352x, x4x563, 8x566x, x8x688, 9-x-10-10-8-x, x-10-x-10-13-9, 13-x-11-12-13-x.
Tensions. A shell of C#maj7b5, root, third and seventh, leaves a string free, and the tones that belong over it are the 9 (D#) and the 13 (A#).
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.