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.J.24.14a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_6))$ |
$24$ |
$7/24$ |
$2$ |
$15$ |
$195$ |
$3465$ |
$73143$ |
$73143$ |
$2$ |
$7$ |
$32$ |
$202$ |
$1627$ |
$15305$ |
$7$ |
$435$ |
$63950$ |
✓ |
✓ |
$[1, 2, 4, 3, 6, 14, 15, 21, 23, 14, 10, 49, 54, 99, 170, 82, 86, 169, 134, 44]$ |
1.6.L.24.14i |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_6)$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$2$ |
$10$ |
$65$ |
$554$ |
$5547$ |
$61316$ |
$13$ |
$1383$ |
$283790$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 436, 1015, 832, 249]$ |
1.6.L.24.14j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{6,2})$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$3$ |
$13$ |
$75$ |
$585$ |
$5643$ |
$61610$ |
$14$ |
$1398$ |
$284010$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 455, 995, 831, 225]$ |
1.6.L.24.15a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(C_6))$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$2$ |
$10$ |
$65$ |
$554$ |
$5547$ |
$61317$ |
$13$ |
$1383$ |
$283800$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 437, 1016, 834, 251]$ |