Note for D6 users: Sorry, you have to do this in other ways.

What you intend

It is assumed that you have the node types "news", "event", "group", "group_event".
Organic Groups is installed. "Group" is configured as group type, "Group event" is configured as "group content" type.

Home
<front>
> News
news
> Richard III of England found dead.
node/123
(type: news)
Home
<front>
> Events
events
> Celebrate the new king.
node/124
(type: event)
Home
<front>
> Groups
groups
> Royal dinner club
node/12
(type: group)
> Events
node/12/events
> Discuss new home decorations.
node/125
(type: group_event)

How you do it

Go to
admin/structure/crumbs/entity-parent.
Configure like this:

News
news
Parent path for nodes of type "News".

Event
events
Parent path for nodes of type "Event".

Group
groups
Parent path for nodes of type "Group".

Group event
node/[node:group-audience:0:etid]/events
Parent path for nodes of type "Group event".

Probably it already works.

Otherwise, go to
admin/structure/crumbs
Look for
crumbs.nodeParent.*
cut + paste it up into the "Enabled" section, and move it as far up as you need to, to make it work.