The Imperial Guard vs. The Empire

Objective: Control Armageddon
Assuming:
1) Fought on Armageddon
2) Both sides have knowledge of each others' capabilities and goals.
3) No reinforcements or orbital support.
4) Plenty of ground-based support, medical corps, engineering corps, etc.
5) Both sides have a reasonable amount of special weaponry within infantry units, e.g., Lascannons, Atgar Laser Cannons, Plasma Guns, Repeater Blasters, etc.
Imperial Guard Force:
- 6,500 Cadian Guardsmen, with special-issue environmental gear and reasonable amount of veteran units.
- 3 Platoons of Stormtroopers
- A contingent of Ratling Snipers
- 3 Armageddon-indigenous Deathworld Veteran Urban Snipers
- 1 Vindicare Assassin, assigned to assist with the vicious urban combat
- 50 Leman Russ Battle Tanks
- 35 Leman Russ Exterminators
- 10 Leman Russ Conquerors
- 45 Leman Russ Demolishers
- 15 Basilisks
- 5 Fixed Earthshakers
- 20 Griffons
- 1 Company of Mechanized Steel Legion Guardsmen
- 20 Hellhounds
- 5 Salamanders
- 5 Squadrons of Sentinels
- 2 Squadrons of Marauders
----------------------------
Imperial Force:
- 1,500 Stormtroopers
- 200 Scout Troopers
- 50 Scout Bikers
- 10 AT-ATs
- 35 AT-STs
- 20 AT-PTs
- 5 MT-ATs
- 3 Squadrons of TIE Bombers
- 1 Squadron of TIE Interceptors
- 20 Darktroopers
- 1 Dark Jedi
Who would control Armageddon?