In band, what are they?

What often confuses people is that most of the woodwinds like the clarinet, oboe, and bassoon use reeds to make their sound while the flute and piccolo don't. Yet they are all woodwinds. The name comes from them being wind instruments made of wood. To further confuse things, at one time the flutes were wooden, but the modern ones are very often metal. Even more confusing it that a saxophone is a woodwind that is also a reed instrument and has never been made of wood! But the flute and piccolo, no matter what they are made of, are part of the woodwinds. Oddest of all is the English horn. It's a woodwind that uses a reed and is neither English nor a horn, it's a kind of oboe and is a woodwind.

Perhaps Willem can clarify this part: From time to time the French horn (which is not really French) is grouped with the woodwinds as well, yet is clearly not a woodwind instrument at all.

Woodwind: piccolo, flute, oboe, english horn, clarinet, bass clarinet, saxophone, bassoon, double-bassoon.

Brass: trumpet, cornet, flugel horn, (french) horn, tenor saxhorn, baritone saxhorn, euphonium, tenor trombone, bass trombone, tuba.

EDIT.

@Tim: Yes, it is often associated with woodwinds, and it shouldn't be - not really. It blends in nicely with the woodwinds [Berlioz placed the horns between the clarinets and bassoons in his orchestral scores] and is generally included in wind quintets and so on. Other than that, there is no reason why it should be mentioned in the same breath. And I wish some people would stop referring to the "French horn", which is no more 'French' than the English horn is 'English', and simply refer to "the horn"☺.

As for the English horn: some musicologists suggest that it might be a mistranslation of 'Cor anglé', or 'angled horn'.

(Apologies for all the edits: I never really got the hang of English punctuation)

Low Brass: trombone, baritone, tuba, oboe

High brass: Trumpets, french horns, cornets

Woodwinds: Picilos, flutes, clarinets, alto saxophones, saxophones.