C++ MFC CListCtrl - How to sort item upon startup (without any UI interaction)?

Question

I have a list of item to be loaded in an MFC window with CListCtrl in it. Upon OnInitDialog(), I will perform m_List.InsertItem(&item); where this item contains data such as: filename, last date modified, and comment.
The current output that I have now is that it will sort it with the last date modified when I open this dialog, then I would need to manually click on the list header to trigger an event to sort the data according to filename with functions such as below:

ON_NOTIFY(LVN_COLUMNCLICK, IDC_FILELIST, OnColumnclickFilelist)

int CALLBACK CDlg::AlphaNumericSorting(LPARAM lParam1, LPARAM lParam2, LPARAM ParameterSort)
{
    std::wstring wv1(((CLVData*)lParam1)->strFileName);
    std::wstring wv2(((CLVData*)lParam2)->strFileName);
    return StrCmpLogicalW(wv1.c_str(), wv2.c_str()) < 0;
}

void Dlg::OnColumnclickFilelist(NMHDR* pNMHDR, LRESULT* pResult) 
{
     NM_LISTVIEW* pNMListView = (NM_LISTVIEW*)pNMHDR;
     m_List.SortItems(AlphaNumericSorting, pNMListView->iSubItem);
     *pResult = 0;
}

Now I'm trying to make it sort automatically upon OnInitDialog(), is there a correct way to do so? From what I searched so far, all samples I got are those with event handling.