Potentially stably rational conic bundle

This page contains subgroup $G$ of $W(D_8)$ with $H^1(G,Pic(\bar{X}))=0$.

Cases:

• D8(1):$F_7$
• D8(2):$D_{15}$
• D8(3):$D_7$
• D8(4):$C_3\rtimes F_5$