IMPORTANT NOTE: The notification settings of a group does not change your master notification setting under preferences. If this is set to "off" you will receive no push notifications. If it is "on" you will receive push notifications except for groups where you have disabled them.
Notifications also work on the group level. There may be situations where you only want notifications from a particular group. In this case, it is a good idea to make use of group notifications.
Simply swipe right on the desired group and tap the blue bell to disable notifications from that group. If you wish to re-enable them, simply swipe right on the group and tap the grey bell icon to activate the notifications.