Here is the full list of all 15 Hades Star achievements.
Deliver a total of 100000 shipments
Upgrade one of your planets to level 40
Reveal 36 sectors in your home star
Increase your fleet size to 14
Collect 10000000 Hydrogen from asteroid fields
Research 5000 Artifacts
Colonize 16 planets
Maintain uninterrupted diplomatic relations with another player for 365 days
Destroy a total of 10000 Cerberus ships
Maintain total income of 1200000 Credits per day for 7 continuous days
Maintain total income of 200000 Hydrogen per day for 7 continuous days
Participate in 150 White Star missions
Deposit 50000 Hydrogen on White Star planets
Retrieve 100 relics for your Corporation
Win 500 Blue Star matches