Or, C-E-F# is just a second-inversion half-diminished seventh, with the third omitted. Notation would be vii*4/3 where the asterik replaces the circle with the line through it, which isn't in ASCII
(For a correct usage of this chord, refer to the last measure of the last movement of Prokofiev's last sonata [no. 9, C major])
nah think of it as C,E,Gb (not F#), and Bb. Hence the French +6.
You're absolutely right, it would have to be a Gb instead of an F#; which is precisely why it doesn't work. If the OP was thinking C E Gb, that would be second-inversion Fr+6 with omitted third, no problem.
There is no augmented sixth in Derek's original chord.
Actually, +6 would have been from the Gb to the E, it's second inversion. Correctly, it's a half-diminished 7th from F# to E, second inversion. Thirds can be omitted without penalty in seventh chords.