Emperor Georgiou
Officer shards can be earned through the Discovery Officer Chest and Ultra Recruit Chest. Occasionally, more shards can be acquired through Rotational Ultra Chests.  

Captain Tilly
Officer shards can be earned through the Discovery Officer Chest and Ultra Recruit Chest. Occasionally, more shards can be acquired through Rotational Ultra Chests.  

Lorca
Officer shards can be earned through the Discovery Officer Chest (only with the Discovery Refit) and Ultra Recruit Chest. Occasionally, more shards can be acquired through Rotational Ultra Chests.