According to the extensive listing by Professor Reveal (see 1 2 3 4, note the synonyms, both nomenclatural and taxonomic, for each name in the system), it looks like this:

• class Magnoliopsida
• : subclass Magnoliidae
• :: superorder Magnolianae
• ::: order Annonales
• :::: family Annonaceae
• :::: family Myristicaceae
• :::: family Eupomatiaceae
• :::: family Canellaceae
• :::: family Austrobaileyaceae
• ::: order Aristolochiales
• :::: family Aristolochiaceae
• ::: order Rafflesiales
• :::: family Rafflesiaceae
• :::: family Hydnoraceae
• ::: order Magnoliales
• :::: family Degeneriaceae
• :::: family Himantandraceae
• :::: family Magnoliaceae
• ::: order Lactoridales
• :::: family Lactoridaceae
• ::: order Winterales
• :::: family Winteraceae
• ::: order Chloranthales
• :::: family Chloranthaceae
• ::: order Illiciales
• :::: family Illiciaceae
• :::: family Schisandraceae
• ::: order Laurales
• :::: family Amborellaceae
• :::: family Trimeniaceae
• :::: family Monimiaceae
• :::: family Gomortegaceae
• :::: family Calycanthaceae
• :::: family Lauraceae
• ::: order Nelumbonales
• :::: family Nelumbonaceae
• :: superorder Nymphaeanae
• ::: order Piperales
• :::: family Saururaceae
• :::: family Piperaceae
• ::: order Nymphaeales
• :::: family Cabombaceae
• :::: family Nymphaeaceae
• :::: family Ceratophyllaceae
• :: superorder Ranunculanae
• ::: order Ranunculales
• :::: family Lardizabalaceae
• :::: family Sargentodoxaceae
• :::: family Menispermaceae
• :::: family Kingdoniaceae
• :::: family Circaeasteraceae
• :::: family Ranunculaceae
• :::: family Hydrastidaceae
• :::: family Berberidaceae
• ::: order Papaverales
• :::: family Papaveraceae
• :::: family Fumariaceae
• :: superorder Caryophyllanae
• ::: order Caryophyllales
• :::: family Molluginaceae
• :::: family Caryophyllaceae
• :::: family Phytolaccaceae
• :::: family Achatocarpaceae
• :::: family Agdestidaceae
• :::: family Basellaceae
• :::: family Portulacaceae
• :::: family Stegnospermataceae
• :::: family Nyctaginaceae
• :::: family Aizoaceae
• :::: family Halophytaceae
• :::: family Cactaceae
• :::: family Didiereaceae
• :::: family Hectorellaceae
• :::: family Chenopodiaceae
• :::: family Amaranthaceae
• :: superorder Polygonanae
• ::: order Polygonales
• :::: family Polygonaceae
• :: superorder Plumbaginanae
• ::: order Plumbaginales
• :::: family Plumbaginaceae
• :::: family Limoniaceae
• :: superorder Malvanae
• ::: order Malvales
• :::: family Sterculiaceae
• :::: family Plagiopteraceae
• :::: family Bixaceae
• :::: family Cochlospermaceae
• :::: family Cistaceae
• :::: family Sphaerosepalaceae
• :::: family Sarcolaenaceae
• :::: family Huaceae
• :::: family Tiliaceae
• :::: family Dipterocarpaceae
• :::: family Bombacaceae
• :::: family Malvaceae
• ::: order Urticales
• :::: family Ulmaceae
• :::: family Moraceae
• :::: family Cecropiaceae
• :::: family Barbeyaceae
• :::: family Cannabaceae
• :::: family Urticaceae
• ::: order Euphorbiales
• :::: family Euphorbiaceae
• :::: family Simmondsiaceae
• :::: family Pandaceae
• :::: family Aextoxicaceae
• :::: family Dichapetalaceae
• ::: order Thymelaeales
• :::: family Gonystylaceae
• :::: family Thymelaeaceae
• ::: order Rhamnales
• :::: family Rhamnaceae
• :: superorder Violanae
• ::: order Violales
• :::: family Flacourtiaceae
• :::: family Berberidopsidaceae
• :::: family Aphloiaceae
• :::: family Physenaceae
• :::: family Passifloraceae
• :::: family Dipentodontaceae
• :::: family Peridiscaceae
• :::: family Scyphostegiaceae
• :::: family Violaceae
• :::: family Turneraceae
• :::: family Malesherbiaceae
• :::: family Caricaceae
• ::: order Cucurbitales
• :::: family Achariaceae
• :::: family Cucurbitaceae
• :::: family Begoniaceae
• :::: family Datiscaceae
• ::: order Salicales
• :::: family Salicaceae
• ::: order Tamaricales
• :::: family Tamaricaceae
• :::: family Frankeniaceae
• ::: order Capparales
• :::: family Capparaceae
• :::: family Brassicaceae
• :::: family Tovariaceae
• :::: family Resedaceae
• :::: family Gyrostemonaceae
• :::: family Bataceae
• :::: family Moringaceae
• ::: order Tropaeolales
• :::: family Tropaeolaceae
• :::: family Limnanthaceae
• ::: order Salvadorales
• :::: family Salvadoraceae
• ::superorder Theanae
• ::: order Dilleniales
• :::: family Dilleniaceae
• ::: order Paeoniales
• :::: family Glaucidiaceae
• :::: family Paeoniaceae
• ::: order Theales
• :::: family Stachyuraceae
• :::: family Pentaphylacaceae
• :::: family Marcgraviaceae
• :::: family Quiinaceae
• :::: family Ancistrocladaceae
• :::: family Dioncophyllaceae
• :::: family Nepenthaceae
• :::: family Medusagynaceae
• :::: family Caryocaraceae
• :::: family Strasburgeriaceae
• :::: family Ochnaceae
• :::: family Chrysobalanaceae
• :::: family Oncothecaceae
• :::: family Scytopetalaceae
• :::: family Theaceae
• :::: family Bonnetiaceae
• :::: family Clusiaceae
• :::: family Elatinaceae
• ::: order Lecythidales
• :::: family Lecythidaceae
• :: superorder Primulanae
• ::: order Primulales
• :::: family Myrsinaceae
• :::: family Aegicerataceae
• :::: family Theophrastaceae
• :::: family Primulaceae
• :::: family Coridaceae
• ::: order Ebenales
• :::: family Sapotaceae
• :::: family Styracaceae
• :::: family Lissocarpaceae
• :::: family Ebenaceae
• :: superorder Rosanae
• ::: order Trochodendrales
• :::: family Trochodendraceae
• :::: family Tetracentraceae
• ::: order Cercidiphyllales
• :::: family Cercidiphyllaceae
• :::: family Eupteleaceae
• ::: order Hamamelidales
• :::: family Hamamelidaceae
• :::: family Platanaceae
• :::: family Myrothamnaceae
• ::: order Balanopales
• :::: family Balanopaceae
• ::: order Fagales
• :::: family Nothofagaceae
• :::: family Fagaceae
• :::: family Corylaceae
• :::: family Betulaceae
• ::: order Juglandales
• :::: family Rhoipteleaceae
• :::: family Juglandaceae
• ::: order Myricales
• :::: family Myricaceae
• ::: order Casuarinales
• :::: family Casuarinaceae
• ::: order Buxales)
• :::: family Buxaceae
• :::: family Daphniphyllaceae
• :::: family Didymelaceae
• ::: order Geissolomatales
• :::: family Geissolomataceae
• ::: order Cunoniales
• :::: family Cunoniaceae
• :::: family Baueraceae
• :::: family Brunelliaceae
• :::: family Davidsoniaceae
• :::: family Eucryphiaceae
• ::: order Saxifragales
• :::: family Saxifragaceae
• :::: family Francoaceae
• :::: family Greyiaceae
• :::: family Brexiaceae
• :::: family Grossulariaceae
• :::: family Iteaceae
• :::: family Cephalotaceae
• :::: family Crassulaceae
• :::: family Podostemaceae
• ::: order Droserales
• :::: family Droseraceae
• :::: family Lepuropetalaceae
• :::: family Parnassiaceae
• ::: order Rosales
• :::: family Rosaceae
• :::: family Neuradaceae
• :::: family Malaceae
• :::: family Amygdalaceae
• :::: family Anisophylleaceae
• :::: family Crossosomataceae
• :::: family Surianaceae
• :::: family Rhabdodendraceae
• ::: order Gunnerales
• :::: family Gunneraceae
• :: superorder Proteanae
• ::: order Proteales
• :::: family Proteaceae
• ::: order Elaeagnales
• :::: family Elaeagnaceae
• :: superorder Myrtanae
• ::: order Myrtales
• :::: family Psiloxylaceae
• :::: family Heteropyxidaceae
• :::: family Myrtaceae
• :::: family Onagraceae
• :::: family Trapaceae
• :::: family Lythraceae
• :::: family Combretaceae
• :::: family Melastomataceae
• :::: family Memecylaceae
• :::: family Crypteroniaceae
• :::: family Oliniaceae
• :::: family Penaeaceae
• :::: family Rhynchocalycaceae
• :::: family Alzateaceae
• ::: order Haloragales
• :::: family Haloragaceae
• :: superorder Rutanae
• ::: order Sapindales
• :::: family Coriariaceae
• :::: family Anacardiaceae
• :::: family Leitneriaceae
• :::: family Podoaceae
• :::: family Sapindaceae
• :::: family Hippocastanaceae
• :::: family Aceraceae
• :::: family Akaniaceae
• :::: family Bretschneideraceae
• :::: family Emblingiaceae
• :::: family Staphyleaceae
• :::: family Melianthaceae
• :::: family Sabiaceae)
• :::: family Meliosmaceae
• :::: family Connaraceae
• ::: order Fabales
• :::: family Mimosaceae
• :::: family Caesalpiniaceae
• :::: family Fabaceae
• ::: order Rutales
• :::: family Rutaceae
• :::: family Ptaeroxylaceae
• :::: family Cneoraceae
• :::: family Simaroubaceae
• :::: family Tepuianthaceae
• :::: family Burseraceae
• :::: family Meliaceae
• ::: order Polygalales
• :::: family Malpighiaceae
• :::: family Trigoniaceae
• :::: family Vochysiaceae
• :::: family Polygalaceae
• :::: family Krameriaceae
• ::: order Geraniales
• :::: family Zygophyllaceae
• :::: family Peganaceae
• :::: family Nitrariaceae
• :::: family Geraniaceae
• :::: family Vivianiaceae
• :::: family Ledocarpaceae
• :::: family Biebersteiniaceae
• :::: family Dirachmaceae
• :::: family Balanitaceae
• ::: order Linales
• :::: family Linaceae
• :::: family Humiriaceae
• :::: family Ctenolophonaceae
• :::: family Ixonanthaceae
• :::: family Erythroxylaceae
• :::: family Lepidobotryaceae
• :::: family Oxalidaceae
• ::: order Celastrales
• :::: family Stackhousiaceae
• :::: family Lophopyxidaceae
• :::: family Cardiopteridaceae
• :::: family Corynocarpaceae
• :::: family Celastraceae
• ::: order Rhizophorales
• :::: family Rhizophoraceae
• :::: family Elaeocarpaceae
• ::: order Balsaminales
• :::: family Balsaminaceae
• :: superorder Vitanae
• ::: order Vitales
• :::: family Vitaceae
• :: superorder Santalanae
• ::: order Santalales
• :::: family Olacaceae
• :::: family Opiliaceae
• :::: family Loranthaceae
• :::: family Medusandraceae
• :::: family Misodendraceae
• :::: family Eremolepidaceae
• :::: family Santalaceae
• :::: family Viscaceae
• :: superorder Balanophoranae
• ::: order Balanophorales
• :::: family Cynomoriaceae
• :::: family Balanophoraceae
• :: superorder Aralianae
• ::: order Pittosporales
• :::: family Pittosporaceae
• :::: family Tremandraceae
• :::: family Byblidaceae
• ::: order Araliales
• :::: family Araliaceae
• :::: family Apiaceae
• :: superorder Asteranae
• ::: order Campanulales
• :::: family Pentaphragmataceae
• :::: family Campanulaceae
• :::: family Lobeliaceae
• ::: order Asterales
• :::: family Asteraceae
• :: superorder Solananae
• ::: order Solanales
• :::: family Solanaceae
• :::: family Sclerophylacaceae
• :::: family Goetzeaceae
• :::: family Convolvulaceae
• :::: family Cuscutaceae
• :::: family Cobaeaceae
• :::: family Polemoniaceae
• ::: order Boraginales
• :::: family Hydrophyllaceae
• :::: family Ehretiaceae
• :::: family Boraginaceae
• :::: family Lennoaceae
• :::: family Hoplestigmataceae
• :: superorder Ericanae
• ::: order Bruniales
• :::: family Bruniaceae
• :::: family Grubbiaceae
• ::: order Fouquieriales
• :::: family Fouquieriaceae
• ::: order Ericales
• :::: family Actinidiaceae
• :::: family Clethraceae
• :::: family Cyrillaceae
• :::: family Ericaceae
• :::: family Empetraceae
• :::: family Monotropaceae
• :::: family Pyrolaceae
• :::: family Epacridaceae
• ::: order Stylidiales
• :::: family Stylidiaceae
• ::: order Sarraceniales
• :::: family Sarraceniaceae
• :: superorder Cornanae
• ::: order Cornales
• :::: family Garryaceae
• :::: family Alangiaceae
• :::: family Nyssaceae
• :::: family Cornaceae
• :::: family Roridulaceae
• :::: family Davidiaceae
• :::: family Escalloniaceae
• :::: family Helwingiaceae
• :::: family Torricelliaceae
• :::: family Aucubaceae
• :::: family Aralidiaceae
• :::: family Diapensiaceae
• :::: family Phellinaceae
• :::: family Aquifoliaceae
• :::: family Paracryphiaceae
• :::: family Sphenostemonaceae
• :::: family Symplocaceae
• :::: family Icacinaceae
• :::: family Montiniaceae
• :::: family Columelliaceae
• :::: family Alseuosmiaceae
• :::: family Hydrangeaceae
• :::: family Sambucaceae
• :::: family Viburnaceae
• :::: family Menyanthaceae
• :::: family Adoxaceae
• :::: family Phyllonomaceae
• :::: family Tribelaceae
• :::: family Eremosynaceae
• :::: family Pterostemonaceae
• :::: family Tetracarpaeaceae
• ::: order Eucommiales
• :::: family Eucommiaceae
• ::: order Dipsacales
• :::: family Caprifoliaceae
• :::: family Valerianaceae
• :::: family Dipsacaceae
• :::: family Morinaceae
• :::: family Calyceraceae
• :: superorder Loasanae
• ::: order Loasales
• :::: family Loasaceae
• :: superorder Gentiananae
• ::: order Goodeniales
• :::: family Goodeniaceae
• ::: order Oleales
• :::: family Oleaceae
• ::: order Gentianales
• :::: family Desfontainiaceae
• :::: family Loganiaceae
• :::: family Dialypetalanthaceae
• :::: family Rubiaceae
• :::: family Theligonaceae
• :::: family Gentianaceae
• :::: family Saccifoliaceae
• :::: family Apocynaceae
• :::: family Asclepiadaceae
• :: superorder Lamianae
• ::: order Lamiales
• :::: family Retziaceae
• :::: family Stilbaceae
• :::: family Buddlejaceae
• :::: family Scrophulariaceae
• :::: family Myoporaceae
• :::: family Globulariaceae
• :::: family Plantaginaceae
• :::: family Lentibulariaceae
• :::: family Pedaliaceae
• :::: family Trapellaceae
• :::: family Martyniaceae
• :::: family Gesneriaceae
• :::: family Bignoniaceae
• :::: family Acanthaceae
• :::: family Verbenaceae
• :::: family Lamiaceae
• :::: family Callitrichaceae
• ::: order Hydrostachyales
• :::: family Hydrostachyaceae
• ::: order Hippuridales
• :::: family Hippuridaceae
• : subclass Liliidae
• :: superorder Alismatanae
• ::: order Alismatales
• :::: family Aponogetonaceae
• :::: family Butomaceae
• :::: family Hydrocharitaceae
• :::: family Limnocharitaceae
• :::: family Alismataceae
• ::: order Najadales
• :::: family Scheuchzeriaceae
• :::: family Juncaginaceae
• :::: family Najadaceae
• :::: family Potamogetonaceae
• :::: family Zosteraceae
• :::: family Posidoniaceae
• :::: family Cymodoceaceae
• :::: family Zannichelliaceae
• :: superorder Triuridanae
• ::: order Triuridales
• :::: family Triuridaceae
• :: superorder Aranae
• ::: order Arales
• :::: family Araceae
• :::: family Acoraceae
• :::: family Lemnaceae
• :: superorder Lilianae
• ::: order Dioscoreales
• :::: family Trichopodaceae
• :::: family Dioscoreaceae
• :::: family Stemonaceae
• :::: family Taccaceae
• :::: family Trilliaceae
• :::: family Rhipogonaceae
• :::: family Petermanniaceae
• :::: family Smilacaceae
• ::: order Asparagales
• :::: family Philesiaceae
• :::: family Luzuriagaceae
• :::: family Convallariaceae
• :::: family Dracaenaceae
• :::: family Asparagaceae
• :::: family Ruscaceae
• :::: family Herreriaceae
• :::: family Nolinaceae
• :::: family Asteliaceae
• :::: family Dasypogonaceae
• :::: family Calectasiaceae
• :::: family Blandfordiaceae
• :::: family Xanthorrhoeaceae
• :::: family Agavaceae
• :::: family Hypoxidaceae
• :::: family Tecophilaeaceae
• :::: family Lanariaceae
• :::: family Ixioliriaceae
• :::: family Cyanastraceae
• :::: family Phormiaceae
• :::: family Doryanthaceae
• :::: family Eriospermaceae
• :::: family Asphodelaceae
• :::: family Anthericaceae
• :::: family Aphyllanthaceae
• :::: family Hemerocallidaceae
• :::: family Hostaceae
• :::: family Hyacinthaceae
• :::: family Alliaceae
• :::: family Amaryllidaceae
• ::: order Liliales
• :::: family Colchicaceae
• :::: family Uvulariaceae
• :::: family Iridaceae
• :::: family Alstroemeriaceae
• :::: family Calochortaceae
• :::: family Liliaceae
• ::: order Melanthiales
• :::: family Melanthiaceae
• :::: family Campynemataceae
• ::: order Burmanniales
• :::: family Burmanniaceae
• :::: family Corsiaceae
• ::: order Orchidales
• :::: family Neuwiediaceae
• :::: family Apostasiaceae
• :::: family Cypripediaceae
• :::: family Orchidaceae
• :: superorder Bromelianae
• ::: order Velloziales
• :::: family Velloziaceae
• ::: order Bromeliales
• :::: family Bromeliaceae
• ::: order Haemodorales
• :::: family Haemodoraceae
• ::: order Philydrales
• :::: family Philydraceae
• ::: order Pontederiales
• :::: family Pontederiaceae
• ::: order Typhales
• :::: family Typhaceae
• :: superorder Zingiberanae
• ::: order Zingiberales
• :::: family Lowiaceae
• :::: family Musaceae
• :::: family Heliconiaceae
• :::: family Strelitziaceae
• :::: family Zingiberaceae
• :::: family Costaceae
• :::: family Cannaceae
• :::: family Marantaceae
• :: superorder Commelinanae
• ::: order Commelinales
• :::: family Mayacaceae
• :::: family Commelinaceae
• :::: family Xyridaceae
• :::: family Rapateaceae
• :::: family Eriocaulaceae
• ::: order Hydatellales
• :::: family Hydatellaceae
• ::: order Cyperales
• :::: family Juncaceae
• :::: family Thurniaceae
• :::: family Cyperaceae
• ::: order Poales
• :::: family Flagellariaceae
• :::: family Joinvilleaceae
• :::: family Restionaceae
• :::: family Centrolepidaceae
• :::: family Poaceae
• :: superorder Arecanae
• ::: order Hanguanales
• :::: family Hanguanaceae
• ::: order Arecales
• :::: family Arecaceae
• :: superorder Cyclanthanae
• ::: order Cyclanthales
• :::: family Cyclanthaceae
• :: superorder Pandananae
• ::: order Pandanales
• :::: family Pandanaceae