Add info.lpParameters = "Security"; to show Security tab.
Or info.lpParameters = "Details"; to show Details tab.
Now ShowFileProperties method is:
    public static bool ShowFileProperties(string Filename)
    {
        SHELLEXECUTEINFO info = new SHELLEXECUTEINFO();
        info.cbSize = System.Runtime.InteropServices.Marshal.SizeOf(info);
        info.lpVerb = "properties";
        info.lpFile = Filename;
        info.lpParameters = "Security";
        info.nShow = SW_SHOW;
        info.fMask = SEE_MASK_INVOKEIDLIST;
        return ShellExecuteEx(ref info);
    }
Reference: To show the properties page of a file and navigate to a tab