c shape using 3 fingers[ 5 string, 4 string 3 string] plus little finger on ist string 5th fret.or leave out the first string altogether, do not play it, i play it a lot because i like the chord c9
   the true g major, or an inversion of it, is the g6 shape that is like the normal g in standard but the little finger frets the second rather than the first string on the third fret beyond the partial capo.
the advantage of this particular g shape is that you can do lots of walking bass runs easily, i use the bar f/ g shape as well, walking basses can be used with c shape and the one fingered e shape[that is one finger on 3 rd string beyond the partial capo 2frets up