Delete a contact on iCloud.com
Note: If you don’t see the groups list in the sidebar, try viewing your iPad in landscape orientation.
You can delete a contact completely from iCloud Contacts or remove it from a group.
In Contacts on iCloud.com, do either of the following:
Delete a contact completely: Select the contact in the All Contacts list. Tap the Action pop-up menu in the sidebar, choose Delete, then tap Delete.
Delete a contact from a group: Tap the group on the left, then select the contact. Tap the Action pop-up menu in the sidebar, then choose Delete.
Deleting a contact from a group removes it from that group only.