Mainly I was wondering in case we wanted to run a scenario where some ~nefarious agents~ were trying to kidnap or kill a League dignitary or someone scheduled to speak at the League.
Of course, I don't have a scale model of the palace (

), so obviously it wouldn't take place right on the grounds. Really, since the answer seems so obscure, I suspect I could use whatever I like - Gendarmes, uniformed soldiers, even men in suits.
Although that brings up a new question about Swiss forces, so I think I will repurpose this thread:
I can't actually seem to find any detailed information on Swiss civil OR military forces any time in the first half of the 20th century, let alone in the interwar period. What would Swiss military uniforms or civil Gendarmerie uniforms have looked like in the '30's?
If I painted a French Gendarme, is it close enough that he might pass for Swiss? As I recall, the French uniforms are black (very dark navy?) with red trim, or is that only postwar? EDIT: Wait, I think the red trim was Belgian Gendarmes and the French ones had a white/cream trim? Still no idea what Swiss ones would have had.
EDIT: Hm, the Paris police have a nice page showing their uniform history at least.
http://amicale-police-patrimoine.fr/catalogue%20uniformes.html I guess the large Kepi trim band was actually only for higher ranks (inspector, etc). Also interesting that there's a mix of riding pants and regular pants, which is good because that gives me more options to convert or use other figures (since the only actual proper Gendarme figure is the Artizan one, which I do have).