There is no information on the QF website unless you have a password to access it but the latest information I could find on the QF's major shareholders is from the SMH, admittedly from March this year. No %'s are given.
They are:
Balanced Equity Management
Franklin Resources
Colonial First State
BT Investment Management
Capital Group.
They all appear to be fund managers, e.g. superannuation, personal investments etc. I'm not an investment expert and own no shares except indirectly through what is in my super fund so make of that list what you will.