ENT-E Picard    

Officer shards can be obtained from completing the The Unfamiliar Part 4 mission. Also, shards can be gained through the Holodeck, Alliance Tournament Store, Refinery, Faction Store, and occasionally through the Event Store and Event Rewards.

ENT-E Data    

Officer shards can be obtained from completing the The Unfamiliar Part 9 mission. Also, shards can be gained through the Holodeck, Refinery, Faction Store, and occasionally through the Event Store and Event Rewards.

ENT-E Riker    

Officer shards can be obtained from completing the following missions: Nemeses Part 1, Part 3, Part 6, and Part 9, and The Captain's Table Part 3. Also, shards can be gained through the Refinery, Faction Store, and occasionally through the Event Store and Event Rewards.

ENT-E Deanna Troi    

Officer shards can be obtained from completing the following missions: Nemeses Part 4, Part 7, and Part 10, and The Captain's Table Part 1 and Part 4. Also, shards can be gained through the Holodeck, Refinery, Faction Store, and occasionally through the Event Store and Event Rewards.