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                                                                   EXHIBIT 23.1


                       CONSENT OF INDEPENDENT ACCOUNTANTS


We consent to the incorporation by reference in the registration statement of
ISOCOR on Form S-8 (File No. 333-05275) of our report dated February 12, 1997,
on our audits of the financial statements of ISOCOR as of December 31, 1996 and 
1995, and for the years ended December 31, 1996, 1995 and 1994, which report is
included in this Annual Report on Form 10-K.


/s/ Coopers & Lybrand L.L.P.

Los Angeles, California
March 30, 1997