Potentially stably rational conic bundle

This page contains subgroup $G$ of $W(D_6)$ with $H^1(G,Pic(\bar{X}))=0$.

Cases:

• D6(1):$S_3$
• D6(2):$D_5$
• D6(3):$D_6$
• D6(4):$D_6$
• D6(5):$C_3:S_3$
• D6(6):$F_5$
• D6(7):$S_4$
• D6(8):$S_4$
• D6(9):$S_4$
• D6(10):$S_4$
• D6(11):$S_3^2$
• D6(12):$C_2 \times S_4$
• D6(13):$C_2 \times S_4$
• D6(14):$S_5$
• D6(15):$S_5$