Auto check checkboxes in ListView

I am working on a listview control in Powershell Studio Windows Forms.

Group 1: Contains all groups which ADUser is already a member of.

Checkmarkbox | Name | Description

Groups 2: Contains all groups of the entire directory Checkmarkbox | Name | Description

I need your assistance with:

Group1 Items should be checked by default Group2 should filter out those in group1 When removing/adding a checkmark in Group1 or 2 it should automatically move up/down.

Problem is that i have never worked with the listview control before, so i really dont know where to start, except it has most likely something to do with the SelectedIndexChanged event :)

Any help is much appreciated.

Thanks in advance.