Order of automatically generated admin columns in 3.5

WordPress 3.5 adds the feature to automatically generate admin columns for custom taxonomies via the optional argument ‘show_admin_column’ to the register_taxonomy() function (for further information see http://make.wordpress.org/core/2012/12/11/wordpress-3-5-admin-columns-for-custom-taxonomies/ ).

Is it possible to specify/modify where an automatically generated column appears relative to the already existing columns?

What it does:
Title | AutoGeneratedColum | Date

What I want:
Title | Date | AutoGeneratedColum