Imperial Daily Quests
At the current point in time there are 17 quests that reward Daily Commendations, making a maximum of 25 Daily Commendations obtainable each day. There are also some quests that aren't dailies that reward Daily Commendations (a bit ironic, isn'tit?) but they aren't mentioned here. In order to gain access to all of the daily quests you will need to do some normal quests on Ilum and all of the quests in Belsavis including the Bonus Series.
Most of this information is pieced together from various sources as I do not have an Imperial Character but I can confirm it's accuracy. First we will start our dailies by doing the daily quests on Ilum.
Ilum Dailies - Imperial Base
A Tightened Grip
This quest requires you to kill the Republic Forces to the north of the Imperial Base. There is a bonus quest available with this one that requires you to destroy Republic Missle Crates.
This quest rewards 1
[Heroic +2] Poisonous Strategy
For this quest players will need to kill elites, it can be solo'd but you will need to be very well geared and rather lucky to complete alone. I recommend not only Medpacs but Stims as well if you plan to solo it.
This quest rewards 3
Operation Shatterstorm
For this daily quest you need to venture into the Talz area and interact with the beacon towers to retrieve the Comm logs. There is also a long series of Bonus quests tied to this one but they aren't really worth doing if you ask me.
This quest rewards 1
Defend The Shipment
For this quest you are required to defend and recover the shipment that the Republic stole. The bonus quest involved with this quest requires you to kill Republic Forces.
This quest rewards 1
Ilum Dailies - Imperial Waystation
Rightful Owner
For this quest you are required to recover the Advanced Mining Equipment.
This quest rewards 1
Sabotage
For this daily quest you need to plant a bomb on the Republic Mining Equipment and defend it long enough to complete the quest. You don't need to actally kill all of the mobs that come out, you just need to hold them off long enough to complete the quest.
This quest rewards 1
Belsavis Dailies - Imperial Domination Outpost
[Heroic +4] Lights Out
This is a very difficult heroic quest that will require a full group of players to do. Unless you feel like putting together and entire group of people every day you will probably be skipping this daily on certain days. At least until more people are max level and running dailies.
This quest rewards 3
[Heroic +4] Old Enemies
This is a very difficult heroic quest that will require a full group of players to do. Unless you feel like putting together and entire group of people every day you will probably be skipping this daily on certain days. At least until more people are max level and running dailies.
This quest rewards 3
Invisible Threat
For this daily quest you will need to defeat Republic Stealth Troopers as well as Republic Stealth Commanders. It's a very easy quest to do, there is no bonus quest while doing this quest.
This quest rewards 1
Unintended Consequenses
For this quest you will need to collect the Wraith Box Components and assemble the Wraith Box. Much like a lot of the other Belsavis dailies there is no bonus quest for this quest.
This quest rewards 1
Belsavis Dailies - Deep Launch Teleporter Area
Reluctant Volunteers
For this quest you will need to capture Esh-kha Savants. The bonus mission tied to this one requires you to kill Esh-kha Brutes.
This quest rewards 1
Ancient Transmissions
For this mission you're required to retrieve the Command Console Key. The bonus mission requires you kill the Esh-kha forces.
This quest rewards 1
Found In Translation
For this mission you will need to retrieve the Esh-kha weaponry. The bonus mission has you killing the Esh-kha forces. Since the bonus mission is pretty much a requirement for completing the mission you'll want to be sure to complete it for the extra Legacy Experience.
This quest rewards 1
Belsavis Dailies - Signal Monitoring Station
[Heroic +2] Freeing The Fallen
This quest normally requires at least two people to accomplish but can be done with one very well geared player that knows what they are doing.
This quest rewards 3
The Carriers of Xenovirus Prime
For this mission you're required to scan and mark some vaults, the bonus mission requires you to kill the Primeval Droids which are almost directly in your way for completing the main mission's objective anyway.
This quest rewards 1
Droid Malfunction
For this quest you need to collect Droid Memory Cores. While doing this quest you will want to pick up the Deadly Mutations quest from AR-72, this quest can be done with the Droid Malfunction quest.
This quest rewards 1
Deadly Mutations
This quest comes from AR-72 whom can be found in the tunnel which you will be spending time in to complete the Droid Malfunction quest.
This quest rewards 1