I just finished the mazes with all 3 parties and kept a record for my future plays of who was in the party and the equipment used. Equipment is in the order of: Weapon, Left Hand, Head, Body Armor, and Accessory. I'm sharing this for other players who plan on playing the Laxius series before release of Laxius Soul in the near future.
Maze #1 led by Luci
Spoiler: show
Maze #2 led by Sarah
Spoiler: show
Maze #3 led by Random
Spoiler: show