as a subphylum of phylum Angiospermae and vertebrates as a subphylum of phylum Chordata.

Taxonomic rank

Subphylum is:
#subordinate to the phylum
#superordinate to the infraphylum, which is in turn superordinate to parvphylum.

Where convenient, subphyla in turn can be divided into infraphyla; in turn such an infraphylum also would be superordinate