The 565 is before ES/EX. So 7.1 is decoded from 5.1 and matrixed using a Meridian algorithm.

The 568 will do and ES/EX equivalent using EZ which is a Meridian, some would say better, equivalent.
The 568.2 will do the above plus (soon) PLIIx for 7.1

The 568 info may not be entirely accurate as EZ may now have been replaced by PLII as part of the PLII software upgrade. PLIIx will not be available on the 568.

Im sure someone will correct me.

-Ian