I guess you have problems iterating your combination of these containers?!
If you know how to iterate through a QMap, replace (in your head) QList<struct *> with a primitive data type (like an integer). Then think about it, how it would look like and what you need to change, if you replace your obj.value with a complex datatype (your mapped QList of structure * structs instead of an int).
It's not that hard :-) @JonB already provided useful links which will show you how to iterate through every of your mentioned containers. You just need to combine them.