Label |
Wt |
Deg |
$\mathrm{dim}_{\mathbb{R}}$ |
$\mathrm{G}^0$ |
Name |
$\mathrm{G}/\mathrm{G}^0$ |
$\mathrm{Pr}[t\!=\!0]$ |
$\mathrm{E}[a_1^2]$ |
$\mathrm{E}[a_1^4]$ |
$\mathrm{E}[a_1^6]$ |
$\mathrm{E}[a_1^8]$ |
$\mathrm{E}[a_1^{10}]$ |
$\mathrm{E}[a_1^{12}]$ |
$\mathrm{E}[a_2]$ |
$\mathrm{E}[a_2^2]$ |
$\mathrm{E}[a_2^3]$ |
$\mathrm{E}[a_2^4]$ |
$\mathrm{E}[a_2^5]$ |
$\mathrm{E}[a_2^6]$ |
$\mathrm{E}[a_3^2]$ |
$\mathrm{E}[a_3^4]$ |
$\mathrm{E}[a_3^6]$ |
Maximal |
Rational |
Diagonal |
1.6.I.4.2a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_2)$ |
$4$ |
$0$ |
$2$ |
$16$ |
$235$ |
$4410$ |
$93744$ |
$93744$ |
$2$ |
$8$ |
$41$ |
$283$ |
$2362$ |
$22156$ |
$8$ |
$620$ |
$91760$ |
|
✓ |
$[1, 2, 5, 4, 6, 19, 20, 30, 36, 17, 11, 61, 69, 136, 235, 106, 122, 233, 170, 50]$ |
1.6.I.6.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_3)$ |
$6$ |
$0$ |
$2$ |
$14$ |
$180$ |
$3136$ |
$64344$ |
$64344$ |
$2$ |
$7$ |
$33$ |
$210$ |
$1667$ |
$15215$ |
$7$ |
$442$ |
$62145$ |
|
✓ |
$[1, 2, 4, 3, 5, 14, 14, 21, 24, 11, 9, 42, 45, 92, 159, 70, 83, 151, 112, 30]$ |
1.6.I.8.3a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_4)$ |
$8$ |
$0$ |
$2$ |
$14$ |
$175$ |
$2898$ |
$56364$ |
$56364$ |
$2$ |
$7$ |
$32$ |
$197$ |
$1502$ |
$13185$ |
$7$ |
$412$ |
$52590$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 37, 39, 75, 125, 58, 67, 121, 91, 28]$ |
1.6.I.12.4a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_6)$ |
$12$ |
$0$ |
$2$ |
$14$ |
$175$ |
$2884$ |
$55314$ |
$55314$ |
$2$ |
$7$ |
$32$ |
$196$ |
$1482$ |
$12835$ |
$7$ |
$410$ |
$50735$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 13, 13, 18, 20, 10, 8, 36, 38, 69, 115, 51, 57, 102, 76, 23]$ |