creating draggable CCK groups of fields

When I create a content type for an image, I am able to specify multiple images and the user can add multiple images and then drag and drop to order them.

I would like to be able to do this with groups of fields. I looked a flexifield, but kept getting errors. Anyone have any idea if a module exists to allow multiple groups that can be dragged and dropped to order?

Thanks.

EVEN MORE INFO: I am creating a page content type, similar to a newsletter, where I would like the user to be able to add several sections. A section would consist, in its most basic form, as an image and text with a few display option fields. I would like the user to create several sections (unlimited) and be able to drag and drop the sections to order them.