C++ MFC CListCtrl

Question

I have a CListctrl on a dialog with five columns :

1. Name of the file
2. Size of the file
3. Extension of the file
4. Version of the file
5. Last modified date of the file

I should provide user the option of sorting any column based on which all the other columns should get sorted.

I don't know how to proceed ?

I have all the data in a vector.