Parts with images coming first in category

Is there a way to order parts in the way they show up on pages as those with images showing up first?

Also, please go here...

www.leslaundry.com/index.php/parts/category/26-alliance-ipso

I would like the code and name to come up on this page. I tried putting the code along with the name in the name field to make both show up on the this page, but then when you click on a particular part, It shows up with the name and then the code twice, which I don't want. Please advise.

Sorry that it is not clear.

On the product category page display, I would like products that have the "default image" to show up on the last page and those products that have a unique image to show up first in the order on the pages.

For example...
www.leslaundry.com/index.php/parts/category/26-alliance-ipso

You will notice that the products show up as some having a default image and some have a unique image. I would like the unique images in the category to be sorted and show up first and the products with default images show up and be ordered last.