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 |
1.4.E.6.2a |
$1$ |
$4$ |
$3$ |
$\mathrm{SU}(2)_{2}$ |
$E_6$ |
$6$ |
$1/6$ |
$2$ |
$12$ |
$100$ |
$980$ |
$10584$ |
$10584$ |
$1$ |
$4$ |
$11$ |
$44$ |
$172$ |
$754$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 6, 6, 6, 13, 12, 12]$ |
1.4.F.6.2c |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_6$ |
$6$ |
$1/6$ |
$4$ |
$36$ |
$400$ |
$4900$ |
$63504$ |
$63504$ |
$2$ |
$8$ |
$32$ |
$148$ |
$712$ |
$3586$ |
|
|
|
|
✓ |
$[1, 4, 5, 12, 24, 16, 28, 73, 80, 42]$ |
1.6.J.6.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(E_6,E_3)$ |
$6$ |
$1/6$ |
$3$ |
$27$ |
$380$ |
$7175$ |
$162540$ |
$162540$ |
$2$ |
$9$ |
$51$ |
$381$ |
$3438$ |
$35093$ |
$12$ |
$924$ |
$157300$ |
|
✓ |
$[1, 3, 6, 5, 8, 28, 29, 34, 55, 24, 18, 103, 118, 247, 466, 221, 218, 486, 395, 107]$ |
1.6.L.6.2e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(C_6,C_3)$ |
$6$ |
$1/6$ |
$5$ |
$63$ |
$1130$ |
$25935$ |
$693630$ |
$693630$ |
$3$ |
$17$ |
$123$ |
$1113$ |
$11783$ |
$138071$ |
$24$ |
$2892$ |
$671380$ |
|
✓ |
$[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$ |
1.6.M.12.4a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_6)$ |
$12$ |
$1/6$ |
$2$ |
$20$ |
$360$ |
$8260$ |
$213864$ |
$213864$ |
$2$ |
$8$ |
$48$ |
$402$ |
$4087$ |
$45972$ |
$8$ |
$994$ |
$217328$ |
✓ |
✓ |
$[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$ |
1.6.N.12.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,2;2)$ |
$12$ |
$1/6$ |
$4$ |
$60$ |
$1440$ |
$41300$ |
$1283184$ |
$1283184$ |
$2$ |
$14$ |
$132$ |
$1514$ |
$19052$ |
$252270$ |
$22$ |
$4362$ |
$1321580$ |
|
✓ |
$[1, 4, 11, 10, 18, 122, 135, 200, 364, 157, 78, 778, 976, 2406, 4962, 2584, 2636, 6558, 5836, 1734]$ |
1.6.N.12.2b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,4)$ |
$12$ |
$1/6$ |
$6$ |
$90$ |
$1900$ |
$48930$ |
$1416996$ |
$1416996$ |
$3$ |
$21$ |
$185$ |
$1929$ |
$22453$ |
$281095$ |
$32$ |
$5288$ |
$1426100$ |
|
✓ |
$[1, 6, 16, 14, 27, 156, 164, 230, 406, 170, 100, 865, 1056, 2534, 5148, 2654, 2705, 6676, 5916, 1754]$ |
1.6.N.12.4b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,2)$ |
$12$ |
$1/6$ |
$4$ |
$60$ |
$1440$ |
$41300$ |
$1283184$ |
$1283184$ |
$2$ |
$14$ |
$132$ |
$1514$ |
$19052$ |
$252270$ |
$22$ |
$4362$ |
$1321580$ |
|
✓ |
$[1, 4, 11, 14, 22, 122, 147, 212, 372, 193, 86, 778, 1032, 2414, 4962, 2660, 2656, 6678, 5896, 1906]$ |
1.6.N.12.5b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(6,2)$ |
$12$ |
$1/6$ |
$6$ |
$90$ |
$1860$ |
$47250$ |
$1369116$ |
$1369116$ |
$3$ |
$21$ |
$183$ |
$1881$ |
$21723$ |
$271935$ |
$32$ |
$5160$ |
$1388060$ |
|
✓ |
$[1, 6, 16, 14, 27, 152, 160, 222, 390, 174, 92, 825, 1032, 2450, 5028, 2634, 2649, 6620, 5880, 1798]$ |
1.6.N.48.29c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(O,1)$ |
$48$ |
$1/6$ |
$4$ |
$42$ |
$660$ |
$14000$ |
$368424$ |
$368424$ |
$2$ |
$11$ |
$75$ |
$638$ |
$6452$ |
$74457$ |
$16$ |
$1630$ |
$367040$ |
|
✓ |
$[1, 4, 8, 8, 13, 50, 54, 67, 110, 63, 32, 220, 290, 626, 1274, 702, 675, 1712, 1507, 528]$ |
1.6.N.48.33b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(T,2)$ |
$48$ |
$1/6$ |
$4$ |
$42$ |
$680$ |
$14770$ |
$388584$ |
$388584$ |
$2$ |
$11$ |
$76$ |
$661$ |
$6782$ |
$78357$ |
$16$ |
$1688$ |
$382900$ |
|
✓ |
$[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$ |