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

• semiotical
• semiotician
• semiotics
• semiparasite
• semiparasitic
• semipermanent
• semipermeable
• semipermeable membrane
• semipolitical
• semiprecious
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• semirigid
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• semisoft
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• semisynthetic
• Semite
• semiterrestrial
• Semitic
• Semitic deity