However, you can convey the idea of dissention using various adverbs depending on the specific context:
For expressing disagreement:
* Contentiously - emphasizing strong disagreement or conflict.
* Discordantly - suggesting a lack of harmony or agreement.
* Disputatiously - highlighting a tendency towards argument or debate.
* Divisively - focusing on the act of dividing or separating.
For expressing the result of dissention:
* Fracturedly - suggesting a state of brokenness or division.
* Severely - emphasizing the intensity of the disagreement.
* Bitterly - highlighting the emotional intensity of the disagreement.
* Turbulently - suggesting unrest or chaos.
For expressing the manner of dissention:
* Violently - emphasizing the intensity and potential for conflict.
* Openly - indicating that the disagreement is not hidden.
* Hostilely - implying animosity or aggression.
The best choice for your specific situation depends on the meaning you want to convey.