Em

I

II

III

IV

V

VI

1-я

2-я

3-я

4-я

2

5-я

1

6-я

Cadd9

II

III

IV

V

VI

VII

1-я

2-я

2

3-я

4-я

5-я

1

6-я

G6

I

II

III

IV

V

VI

1-я

2-я

3-я

4-я

5-я

1

6-я

2

D/F#

I

II

III

IV

V

VI

1-я

3

2-я

3

3-я

2

4-я

5-я

6-я

1

Zombie

Em      02200x
Cadd9   03200x
G6      3200xx
D/F#    2000xx This probably should be 20023x or something but I'm lazy

e---------------------|-------------------
B-------0--00-00-000--|-----0--00-00-000--
G-------0--00-00-000--|-----0--00-00-000--
D---2-2-2--22-22-222--|-2-2-2--22-22-222--
A---2-2-2--22-22-222--|-3-3-3--33-33-333--
E---------------------|-------------------

e---------------------|-------------------
B---------------------|-------------------
G-------0--00-00-000--|-----0--00-00-000--
D-------0--00-00-000--|-----0--00-00-000--
A---2-2-2--22-22-222--|-0-0-0--00-00-000--
E---3-3-3--33-33-333--|-2-2-2--22-22-222--

The timing here is probably a bit rough but you get the general idea.

Then you kick your overdrive in and play the top 4 bass strings on each
chord.

I think there is 2 sets of this played ending with a long Em
and then the verse.  I tend to simulate the bass by playing softly on the
strings and then the guitar bits much louder, if you listen to the CD this
seems to be close to what they are doing

e----------------------|----------------------
B----------------0--0--|----------------0--0--
G----------------0--0--|----------------0--0--
D---2-2-2-2-2-2--2--2--|---2-2-2-2-2-2--2--2--
A---2-2-2-2-2-2--------|---3-3-3-3-3-3--------
E----------------------|----------------------
                    ^ Let ring             ^ Let ring

e----------------------|-----2----------
B----------------------|-------3--------
G----------------0--0--|---------2------ Unsure about this bit
D----------------0--0--|--0--------0----
A---2-2-2-2-2-2--2--2--|----------------
E---3-3-3-3-3-3--------|----------------

^The lead comes in about here

The lead riff is
e---7h8--5h7--3h5--2h3p2---------
B------------------------3-3-0---

The verse varies a bit but is more or less based on the above.
I haven't worked out the solo yet but seems to use two guitars one playing
a riff based on the lead riff above (well at least it starts like that)

e---7h8--5h7-7-7-7- } Repeat

Or something like that and then the other guitar comes over the top.
Well thats about it, I did work out the little bass riff but I forget how
it goes though it is based around E open, E third, A 5th, A 3rd and A open.

Here are the lyrics (not mine):

Another head hangs lowly
Child is slowly taken
And the violence caused such silence
Who are we mistaken

but you see, it's not me
it's not my family
in your head, in your head
they are fighting

Chorus:        With their tanks, and their bombs,
and their bombs, and their guns
In your head, in your head they are cryin'
In your head, In your head
Zombie, etc.
What's in your head in your head, in your head
Zombie, etc.

Another mother's breakin'
heart is taking over
when the violence causes silence
we must be mistaken
it's the same old theme since 1916
in your head,
in your head they're still fightin'

Chorus