3c. Nests
Nests (specifically the 12 nests referred to as Division Nests) stand between dungeons and raids in the difficulty scale. To enter them, you need a Fallen Barrier Compass (specific to a nest) that may drop from a medium/large Collapsed Dimension enemy in Dimension Collapse dungeons. A whole party can enter a nest as long as the party leader has the nest ticket.

Nests are meant to be done in parties due to the higher difficulty, but you can do them solo. Division Nests are a constant sure supply of Lunar Jade fragments and Accessory fragments. Some event currencies also drop in nests.
Here is what you can get from clearing a nest (sourced from official patch note: LV100 update).