Open shape
x32000
Cmaj7 is the C major 7 chord. Its notes are C, E, G and B. An open, reflective color. The major seventh sits a semitone below the root.
x32000
x35453
8-10-9-9-8-8
Numbers show frets from the low E string to the high e string; x means don't play that string.
Cmaj7 is the Imaj7 chord in C major and the IVmaj7 chord in G 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 major 7 chords