7th sus4 chords
The seventh suspended chords are less common than the regular sus4 and sus2 chords. 7th sus chords are often almost similar to the dominant 7th chords, but in many cases the shapes are kind of hard to play because of the lack of natural ways to add the fourth.
The diagram picturing C7sus4 is obviously a barre chord, it can also be played as X3331X. The most common alternative to the suggestion for F7sus4 is to play it as a barre chord: 131311. This is also true for G7sus4 (353533). A third alternative for G7sus4 is 3X3013, with a muted in-between string.
Notice that A7sus4 are identical with a version of the A13 chord. Another way to play A7sus4 is X02233.
7th suspended chords with flats and sharps
Since these are not played all that often, they are only presented in shortened notation:
C sharp / D flat 7sus4: X46474
D sharp / E flat 7sus4: X68696
F sharp / G flat 7sus4: XX4657
G sharp / A flat 7sus4: XX6879
A sharp / B flat 7sus4: X13141
A moveable shape for this chord category is Bb7sus4/F as XX3344.
The seventh suspended fourth is built with the formula 1-4-5-b7.
Progressions including this chord type:
G7sus4 - G7 - F7 - C7
Em - Am - D7sus4 - D7 - G
D - Dmaj7 - D6 - D - A7sus4 - A7 - D
In the famous song "California Dreaming" a 7sus4 to 7th change is used:
Am - G - F - G - E7sus4 - E7 (capo 4)
Alternative chord names
A7sus4 is identical with Dsus4/A.
B7sus4 is identical with Esus4/B.
C7sus4 is identical with Fsus4/C.
D7sus4 is identical with Gsus4/D.
E7sus4 is identical with Asus4/E.
Yes, this chord type also exists, but since the seventh sus 2nd are much more uncommon than 7sus4 they are only presented in short: