Cmaj7 chord inversions
Cmaj7/E, Cmaj7/G and Cmaj7/B are the first, second and third inversions of the Cmaj7. This means that the bass tone is shifting from C to E, G or B.
Theory and information
All these chords consist of the notes C, E, G, B. The difference is that the order of notes shifts. E is the bass note in the first inversion, G is the bass note in the second inversion and B is the bass note in the third inversion.
An alternative for Cmaj7/E is 02100X which avoid tripling of the E note. An alternative for Cmaj7/G is 322010 with the C note an octave higher. An alternative for Cmaj7/B is X22013 with G note doubling.
Alternative chord names
Cmaj7/B is identical with C/B.
Try in a chord progression
Dm7 - G13 - Cmaj7/E
Chords that sound good together with C major 7th inversions
Some typical chords that are likely to be included in progressions with these chords are: Dm7, Em7, Fmaj7, G7, Am7.