Filed Pursuant to Rule 424(b)(3)
                                           Registration Statement No. 333-112367

     Prospectus Supplement to the Prospectus dated February 6, 2004 and the
            Prospectus Supplement dated February 6, 2004 -- No. 409

                                  $825,000,000

                         THE GOLDMAN SACHS GROUP, INC.

                          Medium-Term Notes, Series B

                            ------------------------

The notes being purchased have the following terms:

PRINCIPAL AMOUNT: $825,000,000

STATED MATURITY: July 2, 2007

SPECIFIED CURRENCY: U.S. dollars

    - principal: U.S. dollars
    - interest: U.S. dollars
    - exchange rate agent: not applicable

ORIGINAL ISSUE DATE: July 2, 2004

ORIGINAL ISSUE PRICE: 100%

NET PROCEEDS TO GOLDMAN SACHS: 99.750%

ORIGINAL ISSUE DISCOUNT NOTES: no

    - total amount of OID:
    - yield to maturity:
    - initial accrual period OID:

FORM OF NOTES:

    - master global form only: yes
    - non-global form available: no

REDEMPTION AND REPAYMENT: not applicable

    - redemption commencement date:
    - repayment date(s):
    - redemption or repayment price(s):

IF INTEREST RATE IS FIXED: not applicable

    - annual rate:
    - interest payment date:
    - regular record date:

IF INTEREST RATE IS FLOATING: YES

    - base rate:

      - commercial paper rate:
      - prime rate:
      - LIBOR: YES
        - Moneyline Telerate LIBOR page: 3750
        - Reuters screen LIBOR page: no
        - index currency: U.S. dollars
      - EURIBOR:
      - treasury rate:
      - CMT rate:
        - Moneyline Telerate page 7051:
        - Moneyline Telerate page 7052 (weekly/monthly):
        - CMT index maturity (if not two years):
      - CD rate:
      - federal funds rate:
      - 11th district rate:

    - index maturity: three months
    - spread: +12.5 basis points
    - spread multiplier: none
    - initial base rate: 1.61%
    - maximum rate: none
    - minimum rate: none
    - interest reset dates: quarterly -- on January 2, April 2, July 2 and
      October 2, commencing on October 2, 2004
    - interest payment dates: January 2, April 2, July 2 and
      October 2, commencing on October 2, 2004
    - calculation agent: The Bank of New York

DEFEASANCE APPLIES AS FOLLOWS: not applicable

    - full defeasance -- i.e., our right to be relieved of all our obligations
      on the note by placing funds in trust for the investor:
    - covenant defeasance -- i.e., our right to be relieved of specified
      provisions of the note by placing funds in trust for the investor:

                            ------------------------

    The information above, if any, about the original issue date, original issue
price, net proceeds and original issue discount relates only to the initial sale
of the notes. If the notes are sold in a market-making transaction after their
initial sale, information about the price paid and the date of the sale will be
provided in a separate confirmation of sale. Please refer to the accompanying
prospectus dated February 6, 2004 and prospectus supplement dated February 6,
2004 for additional information about the notes being purchased.

                            ------------------------

    NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY OTHER REGULATORY BODY
HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR PASSED UPON THE ACCURACY OR
ADEQUACY OF THIS PROSPECTUS SUPPLEMENT. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.


                            ------------------------


    Goldman Sachs may use this prospectus supplement in the initial sale of the
notes. In addition, Goldman, Sachs & Co. or any other affiliate of Goldman Sachs
may use this prospectus supplement in a market-making transaction in the notes
after their initial sale. UNLESS GOLDMAN SACHS OR ITS AGENT INFORMS THE
PURCHASER OTHERWISE IN THE CONFIRMATION OF SALE, THIS PROSPECTUS SUPPLEMENT IS
BEING USED IN A MARKET-MAKING TRANSACTION.



                     GOLDMAN, SACHS & CO.

ORMES CAPITAL MARKETS, INC.                      UTENDAHL CAPITAL PARTNERS, L.P.

                            ------------------------

                   Prospectus Supplement dated June 29, 2004.


                       SUPPLEMENTAL PLAN OF DISTRIBUTION

     The Goldman Sachs Group, Inc. and the underwriters for this offering named
below have entered into a terms agreement and a distribution agreement with
respect to the notes. Subject to certain conditions, each underwriter named
below has severally agreed to purchase the principal amount of notes indicated
in the following table.

<Table>
<Caption>
                             PRINCIPAL AMOUNT
UNDERWRITERS                     OF NOTES
- ------------                 ----------------
                          
Goldman, Sachs & Co. ......   $  808,500,000
Ormes Capital Markets,
  Inc. ....................        8,250,000
Utendahl Capital Partners,
  L.P. ....................        8,250,000
                              --------------
  Total....................   $  825,000,000
                              ==============
</Table>

     Notes sold by the underwriters to the public will initially be offered at
the original issue price set forth on the cover of this prospectus supplement.
The underwriters intend to purchase the offered notes from The Goldman Sachs
Group, Inc. at a purchase price equal to the original issue price less a
discount of 0.250% of the principal amount of the notes. Any notes sold by the
underwriters to securities dealers may be sold at a discount from the original
issue price of up to 0.100% of the principal amount of the notes. Any such
securities dealers may resell any notes purchased from the underwriters to
certain other brokers or dealers at a discount from the original issue price of
up to 0.250% of the principal amount of the notes. If all of the offered notes
are not sold at the original issue price, the underwriters may change the
offering price and the other selling terms.

     Please note that the information about the original issue price and net
proceeds to The Goldman Sachs Group, Inc. on the front cover page relates only
to the initial sale of the offered notes. If you have purchased a note in a
market-making transaction after the initial sale, information about the price
and date of sale to you will be provided in a separate confirmation of sale.

     None of the named underwriters is permitted to sell notes in this offering
to an account over which it exercises discretionary authority without the prior
written approval of the customer to which the account relates.

     The Goldman Sachs Group, Inc. estimates that its share of the total
offering expenses, excluding underwriting discounts and commissions, whether
paid to Goldman, Sachs & Co. or any other underwriter, will be approximately
$190,000.

     In the future, Goldman, Sachs & Co. or other affiliates of The Goldman
Sachs Group, Inc. may repurchase and resell the offered notes in market-making
transactions, with resales being made at prices related to prevailing market
prices at the time of resale or at negotiated prices. For more information about
the plan of distribution and possible market-making activities, see "Plan of
Distribution" in the accompanying prospectus and "Supplemental Plan of
Distribution" in the accompanying prospectus supplement.

     The Goldman Sachs Group, Inc. has agreed to indemnify the several
underwriters against certain liabilities, including liabilities under the
Securities Act of 1933.

     Certain of the underwriters and their affiliates have in the past provided,
and may in the future from time to time provide, investment banking and general
financing and banking services to The Goldman Sachs Group, Inc. and its
affiliates, for which they have in the past received, and may in the future
receive, customary fees. The Goldman Sachs Group, Inc. and its affiliates have
in the past provided, and may in the future from time to time provide, similar
services to the underwriters and their affiliates on customary terms and for
customary fees.

                                       S-2


- ------------------------------------------------------------
- ------------------------------------------------------------

  No dealer, salesperson or other person is authorized to give any information
or to represent anything not contained in this prospectus. You must not rely on
any unauthorized information or representations. This prospectus is an offer to
sell only the notes offered hereby, but only under circumstances and in
jurisdictions where it is lawful to do so. The information contained in this
prospectus is current only as of its date.
                             ----------------------

                               TABLE OF CONTENTS

                             Prospectus Supplement

<Table>
<Caption>
                                                 Page
                                                 ----
                                              
Supplemental Plan of Distribution..............   S-2
    Prospectus Supplement dated February 6, 2004

Use of Proceeds................................   S-2
Description of Notes We May Offer..............   S-3
United States Taxation.........................  S-20
Employee Retirement Income Security Act........  S-20
Supplemental Plan of Distribution..............  S-20
Validity of the Notes..........................  S-22
                     Prospectus

Available Information..........................     2
Prospectus Summary.............................     4
Ratio of Earnings to Fixed Charges.............     8
Use of Proceeds................................     8
Description of Debt Securities We May Offer....     9
Description of Warrants We May Offer...........    31
Description of Purchase Contracts We May
  Offer........................................    48
Description of Units We May Offer..............    53
Description of Preferred Stock We May Offer....    58
The Issuer Trusts..............................    66
Description of Capital Securities and Related
  Instruments..................................    69
Description of Capital Stock of the The Goldman
  Sachs Group, Inc. ...........................    93
Legal Ownership and Book-Entry Issuance........    98
Considerations Relating to Securities Issued in
  Bearer Form..................................   104
Considerations Relating to Indexed
  Securities...................................   109
Considerations Relating to Securities
  Denominated or Payable in or Linked to a Non-
  U.S. Dollar Currency.........................   112
Considerations Relating to Capital
  Securities...................................   115
United States Taxation.........................   118
Plan of Distribution...........................   141
Employee Retirement Income Security Act........   144
Validity of the Securities.....................   144
Experts........................................   144
Cautionary Statement Pursuant to the Private
  Securities Litigation Reform Act of 1995.....   145
</Table>

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                                  $825,000,000

                               THE GOLDMAN SACHS
                                  GROUP, INC.

                          Medium-Term Notes, Series B
                             ----------------------

                              [GOLDMAN SACHS LOGO]

                             ----------------------
                              GOLDMAN, SACHS & CO.
                          ORMES CAPITAL MARKETS, INC.
                        UTENDAHL CAPITAL PARTNERS, L.P.
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