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                                   Exhibit 24



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                                POWER OF ATTORNEY
                         DIRECTORS OF GLB BANCORP, INC.

         Know all men by these presents that each person whose name is signed
below has made, constituted and appointed, and by this instrument does make,
constitute and appoint Richard T. Flenner, Jr., Cheryl J. Mihitsch and Andrew L.
Meinhold, or any one of them acting alone, his true and lawful attorney with
full power of substitution and resubstitution to affix for him and in his name,
place and stead, as attorney-in-fact, his signature as director or officer, or
both, of GLB Bancorp, Inc., an Ohio corporation (the "Company"), to a
Registration Statement on Form S-8 or other form registering common stock of the
Company under the Securities Act of 1933, and to any and all amendments,
post-effective amendments and exhibits to that Registration Statement, and to
any and all applications and other documents pertaining thereto, giving and
granting to such attorney-in-fact full power and authority to do and perform
every act and thing whatsoever necessary to be done in the premises, as fully as
he might or could do if personally present, and hereby ratifying and confirming
all that said attorney-in-fact or any such substitute shall lawfully do or cause
to be done by virtue hereof.

         IN WITNESS WHEREOF, this Power of Attorney has been signed at Mentor,
Ohio, this 21st day of July, 1998.


/s/ Richard T. Flenner, Jr.                      /s/ Jerome T. Osborne
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Richard T. Flenner, Jr.                          Jerome T. Osborne


/s/ James V. Fryan                               /s/ Richard M. Osborne
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James V. Fryan                                   Richard M. Osborne


/s/ George C. Lott                               /s/ Edward R. Pike
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George C. Lott                                   Edward R. Pike


/s/ George X. Mechir                             /s/ Thomas J. Smith
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George X. Mechir                                 Thomas J. Smith


                                                 /s/ Joseph T. Svete
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Marian Rose Nathan                               Joseph T. Svete


                                                 /s/ Thomas E. Wheeler
                                                 ---------------------------
                                                 Thomas E. Wheeler