Analysis
NAICS 92214 is the 2022 NAICS industry for correctional institutions, part of 9221 (Justice, Public Order, and Safety Activities).
It has only one more detailed code, 922140, which covers exactly the same activities; the definition, index entries and statistics are on that page.
County Business Patterns excludes public administration, so there is no establishment count for it.
Official definition
See industry description for 922140.
Source: US Census Bureau, NAICS 2022 Manual.