Open shape
x32010
C is the C major chord. Its notes are C, E and G. A clear, stable sound. A natural home chord in a major key.
x32010
x35553
8-10-10-9-8-8
Numbers show frets from the low E string to the high e string; x means don't play that string.
C is the I chord in C major, the IV chord in G major and the V chord in F major. That makes it a natural fit in songs written in those keys.
Every C, E and G 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 chords