Below is the current cladogram for Magnoliophyta, co-opted from The Angiosperm Phylogeny Website, that shows, in detail, the taxonomic relationship between the 58 major orders, as per the APG II system. I will refer to this tree extensively when making taxonomic comparison. Note that the major groups listed in the previous post can be seen here, with Magnoliidae as an outgroup to [Monocotyledones+Eudicots]. An asterisk dentoes nodes with rather weak support.
Current Phylogeny of Magnoliophyta