There are many different kinds of wands...Each character has a different wand, and here is a list of the wands that the author mentions:
Harry Potter - holly and phoenix feather, eleven inches,
nice and supple
Rubeus Hagrid - oak, sixteen inches, rather bendy
Lilly Potter - willow, ten and a quarter inches, swishy,
good for charm work
James Potter - mahogany, eleven inches, pliable, a little
more power than Lily's, excellent for charmwork
You-Know-Who's - Yew, thirteen and a half inches, powerful,
very powerful
Ron Weasley - willow, fourteen inches, containing one unicorn
tail-hair
Fleur Delacour - rosewood, nine and a half inches, inflexible,
containing a hair from the head of a veela
Cedric Diggory - ash, twelve and a quarter inches, pleasantly
springy, containing a single hair of a particularly fine male unicorn
Viktor Krum - hornbeam, ten and a quarter inches, dragon
heartstring, thicker than usual, a Gregorovitch creation