Fano threefolds with $\rho=6$
| ID | $-\mathrm{K}_X^3$ | $\mathrm{h}^{1,2}$ | description | blowups | blowdowns | rational | unirational | moduli | $\mathrm{Aut}^0$ |
|---|---|---|---|---|---|---|---|---|---|
| 6-1 | 30 | 0 |
$\mathbb{P}^1\times\mathrm{Bl}_4\mathbb{P}^2$ |
* | 5-3 | yes | yes | 0 | $\mathrm{PGL}_2$ |