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Exhibit
32.4
CERTIFICATION
OF CHIEF FINANCIAL
OFFICER
REGARDING PERIODIC REPORT CONTAINING
FINANCIAL
STATEMENTS
I, Eloise
E. Schmitz, the Chief Financial Officer of CCH II, LLC and CCH II Capital Corp.
(the "Company") in compliance with 18 U.S.C. Section 1350, as adopted pursuant
to Section 906 of the Sarbanes-Oxley Act of 2002, hereby certify that, the
Company's Quarterly Report on Form 10-Q for the period ended June 30, 2008
(the "Report") filed with the Securities and Exchange Commission:
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fully
complies with the requirements of Section 13(a) of the Securities Exchange
Act of 1934; and
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the
information contained in the Report fairly presents, in all material
respects, the financial condition and results of operations of the
Company.
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/s/ Eloise E.
Schmitz
Eloise E.
Schmitz
Chief Financial
Officer
(Principal Financial
Officer)
August 8,
2008