The piece calls for 3 C flutes with flute 2 switching one player to piccolo on occasion and flute 3 having an alternate Eb part which will facilitate some of the higher sections if one is available. There is also an alto and bass flute part, both essential to the piece, as they do not duplicate each other.
The first movement, Andante Allegro, starts out with the solo in flute 1 until the Allegro secion when it switches over to piccolo in flute 2. The second movement, Menuetto, has the solo in flute 3 or Eb. The Adagio movement returns the solo to flute 1 and the final Allegro goes back to the solo on the piccolo.
One final note: The work was originally written in the order Andante, Allegro, Adagio and Menuetto, but I felt it was more effective and more in keeping with most sonatas of that period to play it in the order I have presented. This is just my personal opinion and not to be taken as an authoritative ruling on the matter.
All of my flute choir works can be purchased at http://www.fallshousepress.com. Sonata in C Major can be found under Flute Choir.