1. In a contrary disobedient manner
   - perversely, contrarily 
2. With the order reversed
   - vice versa, the other way around 
3. Contrary to expectations
   - contrarily, to the contrary, on the contrary

Encyclopedia: Contrariwise

• tapis
• tapotement
• tappa
• tappa bark
• Tappan
• Tappan Zee Bridge
• tapped
• tapper
• tappet
• tappet wrench
• tapping
• taproom
• taproot
• taps
• tapster
• tar
• Tar Heel State
• tar paper
• unerect
• unerring
• unerringly
• UNESCO
• unescorted
• unessential
• unestablished