Root on A string
x4545x
C♯m7♭5 is the C♯ half-diminished chord. Its notes are C♯, E, G and B. It is the same chord as D♭m7♭5. Also written ø7. Often the ii chord in a minor ii–V–i progression.
x4545x
Numbers show frets from the low E string to the high e string; x means don't play that string.
C♯m7♭5 is the viiø7 chord in D major. That makes it a natural fit in songs written in those keys.
Every C♯, E, G and B on the first 12 frets. The filled dots are the root, C♯. Build your own shape from any nearby group.
Other C♯ chords
Other half-diminished chords