G#m7b5 (G# half-diminished seventh) is a four-note chord made from G#, B, D and F#. A half-diminished chord is a diminished triad with a minor seventh on top. It is the ii chord of a minor key, so it opens the minor ii-V-i that jazz leans on.
Built from the root G#, the minor third B, the flat fifth D and the minor seventh F#.
Also written Abm7b5: Ab Cb Ebb Gb
Frets from low E to high E; x means don't play that string.
Easiest shape to start with: Open position (420402). It has 2 open strings and nothing above fret 4.
Every note of G#m7b5 is in these keys. The numeral is its place in the key.