I found English subs!
Someone posted the subs on their Wikipedia user page: http://en.wikipedia.org/wiki/User:Comrade_Tiki
I don't know how good they are, but as far as I know they're the only English subs available. If anyone's curious, the way I found that page was by googling an email address that I found at the end of the subs for another Hungarian movie (Hófehér).