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

• hang-up
• hangar
• hangar queen
• hangbird
• Hangchow
• hangdog
• hanger
• hanger-on
• hangi
• hanging
• hanging chad
• hanging fly
• Hanging Gardens of Babylon
• hanging geranium
• hanging wall
• hangman
• hangman's halter
• hangman's rope
• hangnail
• hangout
• hangover
• Hangul
• Hangzhou
• Hangzhou Bay
• Hani