Wasps belong to the order of Hymenoptera and the sub-order of Apocrita.

Study of wasps is known as waspology. The term wasp is typically defined as any insect of the order Hymenoptera and suborder Apocrita that is neither a bee nor ant

There are several kinds of mason or orchard bees. They are of the order Hymenoptera, suborder Apocrita, superfamily Apoidea and family Megachilidae. They are very important in the spring pollination of orchard trees, particularly apples and peaches.

From Wikipedia:

Kingdom: Animalia

Phylum: Arthropoda

Class: Insecta

Order: Hymenoptera

Suborder: Apocrita

Superfamily: Vespoidea

Family: Formicidae

There are multiple genera (plural genus) and species of ants.

Arthropods - Hexapoda (six-legged animals) - Insecta - Hymenoptera (membrane-wings) - Apocrita (wasps, bees and ants). Though technically their class is Insecta, I went a bit too far. ;)