Factories
Factories are the various game types available to play in Quake Live. Some factories are defaults and come with Quake Live (the ones named after the base game type, e.g. ctf), while others are derivatives of base game types with additional customisations.
The following factories are available for use on The Purgery:

Arena CTF
(a Capture the Flag derivative)
Classic CTF with Grapple and Runes.

Attack & Defend
Teams take turn switching offense and defense in a last team standing version of CTF.

Clan Arena
Two teams compete to eliminate each other. Team with the last man standing wins the round.

Capture The Flag
Two teams, fighting to capture the opponent's flag and return it to their base.

Domination
Control points placed around the arena must be captured and held by a team to score points.

Duel
A 1 vs. 1 test of skill. Just you, your opponent, and the arena. Most frags wins.

Free For All
Free for all combat where the player with the most frags wins.

Freeze Tag
Two teams, fighting to freeze all players on the opposing team to win the round.

Harvester
Frag the enemy, collect the skulls in the middle of the arena, and run them into the enemy base for points.

Instagib CTF
(a Capture the Flag derivative)
Railgun and Gauntlet only. One shot, one kill.

Instagib FFA
(a Free for All derivative)
Railgun and Gauntlet only. One shot, one kill.

Instagib Freeze Tag
(a Freeze Tag derivative)
Railgun and Gauntlet only. One shot, one kill.

Infected
(a Red Rover derivative)
Players who are fragged become infected, and must chase after all remaining players.

Infected Mastermind
(a Red Rover derivative)
The Infected Mastermind, the deadly source of the infection spawns in the arena with a Plasma Gun. All players start out as survivors, armed with only their trusty Shotgun, and Machine Gun, and have to survive as long as they can.

1-Flag CTF
Two teams vying for control of a flag in neutral territory. Grab it and run it into the enemy base to win.

PQL Attack and Defend
(a Attack & Defend derivative)
PQL/Turbo ruleset integration to Attack and Defend servers.

PQL Clan Arena
(a Clan Arena derivative)
PQL/Turbo ruleset integration to Clan Arena servers.

PQL CA-CTF
(a Capture the Flag derivative)
PQL/Turbo ruleset integration to Capture The Flag servers with CA-style weapons, health, armor and self damage.

PQL CA-Freeze Tag
(a Freeze Tag derivative)
PQL/Turbo ruleset integration to Freeze Tag servers in a Clan Arena style.

PQL Competition CA
(a Clan Arena derivative)
PQL/Turbo ruleset integration to Clan Arena servers.

PQL Capture the Flag
(a Capture the Flag derivative)
PQL/Turbo ruleset integration to Capture The Flag servers.

PQL Domination
(a Domination derivative)
PQL/Turbo ruleset integration to Domination servers.

PQL Duel
(a Duel derivative)
PQL/Turbo ruleset integration to Duel servers.

PQL Free For All
(a Free for All derivative)
PQL/Turbo ruleset integration to Free For All servers.

PQL Freeze Tag
(a Freeze Tag derivative)
PQL/Turbo ruleset integration to Freeze Tag servers.

PQL Harvester
(a Harvester derivative)
PQL/Turbo ruleset integration to Harvester servers.

PQL Insta-CTF
(a Capture the Flag derivative)
PQL/Turbo ruleset integration to Instagib CTF servers.

PQL Insta-FFA
(a Free for All derivative)
PQL/Turbo ruleset integration to Instagib FFA servers.

PQL Insta-FT
(a Freeze Tag derivative)
PQL/Turbo ruleset integration to Instagib Freeze Tag servers.

PQL Infected
(a Red Rover derivative)
PQL/Turbo ruleset integration to Infected servers.

PQL Infected Mastermind
(a Red Rover derivative)
PQL/Turbo ruleset integration to Infected Mastermind servers.

PQL 1-Flag iCTF
(a One Flag CTF derivative)
PQL/Turbo ruleset integration to 1-Flag Instagib Capture The Flag servers.

PQL 1-Flag CTF
(a One Flag CTF derivative)
PQL/Turbo ruleset integration to 1-Flag Capture The Flag servers.

PQL Quick-Draw Clan Arena
(a Clan Arena derivative)
PQL/Turbo ruleset integration to Clan Arena servers.

PQL Quad-Hog
(a Free for All derivative)
PQL/Turbo ruleset integration to Quad Hog servers.

PQL Race
(a Race derivative)
PQL/Turbo ruleset integration to Race servers.

PQL Red Rover
(a Red Rover derivative)
PQL/Turbo ruleset integration to Red Rover servers.

PQL Team Deathmatch
(a Team Deathmatch derivative)
PQL/Turbo ruleset integration to Team Deathmatch servers.

PQL VCA + 350HP + IA
(a Clan Arena derivative)
Special Vampiric Clan Arena ruleset with infinite ammo.

Quad Hog
(a Free for All derivative)
A Quad Damage spawns in the arena. Pick up the Quad, and it becomes you versus the world.

Race
Race your way through checkpoints in the arena. Best time at the end of the match wins.

Red Rover
Fight to survive as players get fragged, they return on the other team to frag you. Last player standing wins.

Team Deathmatch
Team-based Free For All. The team with the most frags wins.

Vampiric CA
(a Clan Arena derivative)
The popular Clan Arena modification with Turbo Physics and Vampiric Damage.