The icon area in the card list and the small area to the left of the field names (highlighted above with a red box) can be dragged and dropped to a new destination.
On Demand Sorting
All cards/folders within a group can be sorted alphabetically by long pressing on a group and then choosing the sort option from the menu that appears.
Fields can be sorted within a card by choosing "Sort" from the menu when viewing the card.
Automatic sorting is not enabled by default. You can enable it in the settings.