I found out that it is in the release notes.  Just a bit hard to find if 
you are searching on Java rather than JRE (looking to remedy that too). 
:-)  But check out page 63.  Have a good weekend!

Configuration problems and limitations
JRE 6 Update 29 and JRE 7 Update 1 compatibility issues with NMC for
NetWorker 7.6 SP2 and earlier (fixed in NetWorker 7.6 SP3)
NW134183 (esg125257)
JRE version 6 Update 29 (JRE 1.6.0_29) and JRE 7 Update 1 are not 
supported by
NMC for NetWorker release 7.6 SP2 and earlier. NMC will not function 
correctly if
these versions are installed.
Workaround
If you are using the latest NetWorker cumulative release (NetWorker 
7.6.2.5 Build
681), uninstall the unsupported JRE version and install JRE 7 or previously
supported JRE versions (JRE 6 Update 27 and earlier).
If you are using a NetWorker release previous to 7.6.2.5 Build 681, 
uninstall the
unsupported JRE version and install JRE 6 Update 26 or an earlier JRE 6 
version.
JRE 6 Update 27 and JRE 7 compatibility issues with NMC for NetWorker
releases previous to 7.6.2.5 Build 681 (fixed in NetWorker 7.6 SP2)
NW128816 (esg124036)
JRE version 6 Update 27 (JRE 1.6.0_27) or later and JRE 7 are not 
supported by
NMC for NetWorker 7.6 SP2 or earlier. NMC will not function correctly if 
these
versions are installed.
Workaround
If JRE version 6 Update 27 or JRE 7 is currently installed, update to 
NetWorker
7.6.2.5 cumulative Build 681.

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