Team Deathmatch
Availability: On all 9 maps
Players: 24 (12 vs. 12)
Focus: Team Based Infantry Combat
Goal: Eliminate a set number of enemy combatants
Winning the game: The team that reaches the set kill number first is declared the winner

Squad Deathmatch
Availability: On all 9 maps
Players: 16 (4 squads of 4)
Focus: Squad Based Infantry Combat
Goal: Eliminate a set number of enemy combatants
Winning the game: The squad that reaches the set kill number first is declared the winner

Rush
Availability: On all 9 maps
Players: 24/32 (Console/PC)
Focus: Objective Based All-out Warfare
Goal: Attack/defend M-COM stations
Winning the game: Destroy all M-COM stations/Deplete the attacker’s tickets (Attackers/Defenders)

Squad Rush
Availability: On all 9 maps
Players: 8 (4 vs. 4)
Focus: Squad Based Infantry Combat
Goal: Attack/defend M-COM stations
Winning the game: Destroy all M-COM stations/Deplete the attacker’s tickets (Attackers/Defenders)

Conquest
Availability: On all 9 maps
Players: 24/32 or 64 (Console/PC)
Focus: Objective Based All-out Warfare
Goal: Capture and Hold Flags
Winning the game: Deplete opposing team’s tickets

+ Hardcore and Infantry Only

source:Battlefield Blog