Filtering Rows(help)!!

to any who can help:

Here are some rows in a table with their lettered columns:
A B C D E

012345Ae2001-01-01 00:00:00.0002001-01-02 00:00:00.0000
012345Ae2001-01-02 00:00:00.0002001-01-03 00:00:00.0000
012345Ae2001-01-03 00:00:00.0002001-01-04 00:00:00.0000
012345Ae2001-01-04 00:00:00.0002001-01-05 00:00:00.0000
012345Ae2001-01-19 00:00:00.0002001-01-20 00:00:00.0000
012345Ae2001-01-20 00:00:00.0002001-01-21 00:00:00.0000
012345Ae2001-01-24 00:00:00.0002001-01-25 00:00:00.0000
012345Ae2001-01-25 00:00:00.0002001-01-26 00:00:00.0000
012345Ae2001-01-25 00:00:00.0002001-01-26 00:00:00.0001
012345Ae2001-01-26 00:00:00.0002001-01-27 00:00:00.0000

if you notice on the 8 and 9th rows the only difference between them is in
the E column(0 and 1). What I am trying to do here is to display all with
max(E). So in the above example, I should display rows 1-7,9,10 (8th row
will not display because the 9th row has 1 in the E column). this is the
query I have been using on SQL Server 2000 but I keep on displaying all the
rows:

SELECT A,B,C,D,max(E)
FROM <table>
WHERE ( A = '012345A' ) AND
( B >= '01/01/2001' ) AND
( C <= '01/31/2001' )
GROUP BY A,
B,
C,
D

any solutions?

TIA