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                                                                     EXHIBIT 3.4

                                 [Translation]

                                 VIDEOTRON LTEE
                                (the "Company")

                       BY-LAW AUTHORIZING THE CREATION OF
                   SERIES G CUMULATIVE FIRST PREFERRED SHARES
                              OF THE SHARE CAPITAL

                                     being

                              BY-LAW NUMBER 2004-1

BE IT ENACTED AND IT IS HEREBY ENACTED AS BY-LAW NO. 2004-1 OF THE COMPANY AS
FOLLOWS:

    1.  This by-law authorizes the creation of an additional series of preferred
       shares, i.e., Series G Preferred Shares, the rights, privileges,
       restrictions and conditions of which are more fully described in
       Schedule 1 hereto, which forms an integral part hereof.

    2.  Pursuant to this by-law, the President and the Secretary of the Company
       are authorized and instructed and have the power to sign this by-law for
       and on behalf of the Company and their signature hereto shall be deemed
       conclusive evidence of the approval of this by-law by the board of
       directors and the shareholder of the Company.

    3.  Any director or officer of the Company is hereby authorized and has the
       power to sign and deliver, for and on behalf of the Company, all such
       deeds, documents, contracts and agreements, to make any representation,
       to deliver or have delivered any certificate and to do such other acts
       and things as he or she may deem necessary, in his or her full
       discretion, to give effect to this by-law, including, without limitation,
       the filing of articles of amendment to give effect to the creation of the
       preferred shares, as provided in this by-law.

By-law number 2004-1, adopted and signed on January 16, 2004.

<Table>
                                                       
/s/ ROBERT DEPATIE                                        /s/ J. SERGE SASSEVILLE
- ------------------------------------------                ------------------------------------------
Robert Depatie                                            J. Serge Sasseville
President                                                 Secretary
</Table>

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                                   SCHEDULE 1

                        TO THE ARTICLES OF AMENDMENT OF
                                 VIDEOTRON LTEE

PREFERRED SHARES, SERIES G

    In addition to the rights, privileges, conditions and restrictions attaching
to the serried preferred shares, the Preferred Shares, Series G, without par
value shall carry the following rights, privileges, conditions and restrictions:

1.  RANKING OF PREFERRED SHARES SERIES G

    Preferred series G shares shall rank in preference to the holders of Common
    Shares and the other shares of the Company with respect to priority in the
    payment of dividends and in the distribution of assets of the Company in the
    event of the liquidation or dissolution of the Company, whether voluntarily
    or involuntarily, or any other distribution of the assets of the Company
    among its shareholders for the purpose of winding-up its affairs.

2.  DIVIDENDS

    The holders of record of the Series G Shares shall be entitled to receive,
    in each fiscal year of the Company, fixed cumulative preferential dividends
    at the rate of 11.25% per share per annum, calculated daily on the
    Redemption Price (as hereinafter defined) of the Series G Shares. The said
    dividends shall be cumulative from the respective dates of issue of each
    Series G Share.

    For greater certainty, it is hereby declared that (a) wherever used in this
    Section 2, the expression "dividends at the rate of 11.25% per share per
    annum" shall mean, in respect of Series G Shares, dividends computed at that
    rate for at least the number of days during which such share was outstanding
    during the fiscal year in respect of which the computation is being made and
    (b) nothing herein contained or implied shall require prorating of dividends
    in respect of any shares not outstanding for the whole of any period for or
    in respect of which such dividends are being accumulated. The directors of
    the Company may, however, in their discretion, prorate dividends in respect
    of any shares not outstanding for the whole of any period for or in respect
    of which dividends are being accumulated if such right of prorating was
    reserved by the Company at the time of the issue of such shares.

    All dividends declared on the Series C Shares shall be payable semi-annually
    on a cumulative basis on the 20th day of the months of June and December in
    each year, at such place as the directors of the Company may determine from
    time to time, in cash or by certified cheque, bank draft or wire transfer,
    provided that in respect of any payment of dividends denominated in a
    currency other than Canadian, the applicable exchange rate shall be that
    published by the Bank of Canada in effect on the date of payment.

    The holders of Series G Shares shall only be entitled to receive the
    aforementioned dividends. No dividends may be paid on any shares ranking
    junior to the Series G Shares unless all dividends which shall have become
    payable on the Series G Shares have been paid or set aside for payment.

3.  LIQUIDATION

    In the event of the liquidation, dissolution or reorganization of the
    Company or any other distribution of its assets among its shareholders for
    the purpose of winding-up its affairs, whether voluntarily or involuntarily,
    the holders of Series G Shares shall be entitled to receive, in preference
    to the holders of Common Shares, an amount equal to the Redemption Price (as
    hereinafter defined) of each Series G Share held and any accumulated and
    unpaid dividends with respect thereto.

4.  VOTING RIGHTS

    Holders of Series G Shares shall not be entitled to receive notice of, and
    to attend or vote at, any meeting of the shareholders of the Company, unless
    the Company shall have failed to pay eight (8) semi-annual dividends

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    on the Series G Shares, whether or not consecutive. In that event and only
    for so long as any such dividends remain in arrears, the holders of
    Series G Shares shall be entitled to receive notice of, and to attend and
    vote at, all shareholders' meetings, except meetings at which only holders
    of another specified series or class of shares are entitled to vote. At each
    such meeting, each Series G Share shall entitle the holder thereof to one
    (1) vote.

5.  RETRACTION RIGHTS

    Each holder of Series G Shares shall be entitled, at its discretion, upon
    prior written notice of not less than one (1) business day to the Company,
    to require the Company to redeem all or part of such holder's Series G
    Shares for an aggregate amount equal to the Redemption Price (as hereinafter
    defined) and any accumulated but unpaid dividends with respect thereto,
    payable, subject to the provisions of the Act in this regard, upon
    presentation and surrender by such holder of Series G Shares of the
    certificate(s) representing such number of Series G Shares to be redeemed
    (the date on which such presentation and surrender occurs being the
    "Retraction Date"). As of the Retraction Date, the Series G Shares shall be
    considered redeemed and the Company shall pay to such holder of Series G
    Shares the Redemption Price (as hereinafter defined) and any accumulated but
    unpaid dividends with respect thereto, in the manner described in
    Section 7. In the event the Company is unable to pay the Redemption Price of
    the Series G Shares as of the Retraction Date, it shall forthwith give the
    holder of Series G Shares written notice thereof.

6.  REDEMPTION RIGHTS

    The Company shall have the right, at its option, subject to the provisions
    of the Act in this regard, to redeem at any time all or from time to time
    any of the Series G Shares then outstanding upon giving notice as
    hereinafter provided, on payment to the holders of the Series G Shares of an
    aggregate amount equal to the Redemption Price (as hereinafter defined) plus
    all dividends accumulated on such Series G Shares being redeemed and
    remaining unpaid. In the case of partial redemption, the Series G Shares to
    be redeemed shall be selected PRO RATA among the holders of all the
    Series G Shares then outstanding, except that, with the consent of all the
    holders of Series G Shares, the shares to be redeemed may be selected in any
    other manner.

    The Company shall, at least one (1) business day prior to the date fixed for
    redemption (the "Redemption Date"), give written notice to each then
    registered holder of Series G Shares, of the Company's intention to redeem
    the same. Such notice shall set out the date and the place at which the
    redemption is to take place and where payment is to occur, and in the case
    of partial redemption, the number of shares to be redeemed from each such
    holder of Series G Shares. If notice of redemption is given as aforesaid and
    an amount sufficient to redeem the Series G Shares called for redemption is
    deposited with the Company's bankers or at any other place or places
    specified in the notice, on or before the Redemption Date, the holders of
    Series G Shares shall, after the Redemption Date, have no right in or
    against the Company except the right to receive payment of the Redemption
    Price plus all dividends accumulated on such Series G Shares being redeemed
    and remaining unpaid, in the manner described in Section 7, on presentation
    and surrender of the certificate(s) representing such number of shares to be
    redeemed.

7.  REDEMPTION PRICE

    The Redemption Price of the Series G Shares shall be an amount equal to
    $1,000 per Series G Share being redeemed. The Redemption Price may be paid
    in cash, or by certified cheque, bank draft or wire transfer, or by the
    delivery of assets having equivalent value, provided that in respect of any
    such payment denominated in a currency other than Canadian, for the purpose
    of this Section 7, the applicable exchange rate shall be that published by
    the Bank of Canada in effect on the date of payment.

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