Potentially stably rational conic bundle
This page contains subgroup $G$ of $W(D_9)$ with $H^1(G,Pic(\bar{X}))=0$.
Cases:
- D9(1):$C_7\rtimes C_4$
- D9(2):$D_{14}$
- D9(3):$D_{14} \rtimes C_2$
- D9(4):$S_3 \times D_5$
- D9(5):$C_7 \rtimes C_{12}$
- D9(6):$C_2 \times F_7$
- D9(7):$C_3^2 \rtimes C_2^2$
- D9(8):$C_3^2 \rtimes(C_3 \rtimes C_4)$
- D9(9):$S_3 \times F_5$
- D9(10):$C_2^2 \rtimes F_7$
- D9(11):$S_3^2 \rtimes S_3$
- D9(12):$C_3^3 \rtimes C_2^2 \rtimes C_3$
- D9(13):$C_3^2.S_4$