Both matches are online battle match with friends as team mate or rival, depends on the mode to be chosen by HOST (inviter). Followings are the difference between those two matches
Maximum of 3 players can be teamed up, including host. The team will be same battle scene, and will be fighting with other 3 unknown players through internet. More team strategy battles expected on TEAM BATTLE MODE.
Maximum of 6 players can join and play in same scene, including host. This is still online battle through internet but unknown player can not enter to private match. BOTs will fill empty seats up if room doesn't have 6 players.