Thanks for the comments. Yes, I admit that's confusing. The ranks shown are simply whatever was assigned by the source taxonomy. In a proper taxonomy all children of a given node are of the same rank, but not here. So in the example you show there is no implied hierarchy. Since the ranks have almost no semantics, I wonder if it would be better to not show ranks at all in the children list, and just show a taxon's source-taxonomy rank in the taxon data at the top of the its page. That's what NCBI does.
We've talked a bit about what the sort order ought to be. Looks like it's currently random; alphabetical would be better. Ideally the order would be user selectable, I suppose: alphabetical, by taxon size, by rank, by source taxonomy, and so on.
Jonathan