Android Netrunner Comprehensive Unofficial Rules Wiki
Page 31, Column 3, Paragraph(s) 7, Core Rule Book
Subtype: A card descriptor.

Subtypes are additional tags beyond the main card types that can describe what the card is and how it interacts with other cards. For example, the Icebreaker and Killer subtypes describe a Program that can be used to break Sentry Subroutines.

Cards always have their subtypes, even while inactive.

Page 4, Column 2, Paragraph(s) 2, FAQ
A card has all of its subtypes when it is inactive.

Related Rulings[]