Your current chain: State of matter Life > Kingdom Animalia > Phylum Arthropoda > Subphylum Hexapoda > Class Insecta > Subclass Pterygota > Order Diptera > Suborder Brachycera > Infraorder Orthorrhapha
(From Wikipedia) Orthorrhapha is a circumscriptional name which historically was used in entomology for an infraorder of Brachycera, one of the two suborders into which the order Diptera, the flies, are divided.
FACT: Despite its relative obsolescence, this grouping is still used due to the current confusion amongst more recent grouping!
Currently discovered: 1/4 Parvorders, 2/3 Superfamilies
Parvorder
Superfamily