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.D.4.2a |
$1$ |
$4$ |
$2$ |
$\mathrm{U}(1)\times\mathrm{U}(1)$ |
$F_{a,b}$ |
$4$ |
$1/4$ |
$2$ |
$12$ |
$110$ |
$1260$ |
$16002$ |
$16002$ |
$2$ |
$5$ |
$14$ |
$49$ |
$202$ |
$944$ |
|
|
|
✓ |
✓ |
$[1, 2, 2, 5, 6, 6, 8, 19, 22, 12]$ |
1.4.E.3.1a |
$1$ |
$4$ |
$3$ |
$\mathrm{SU}(2)_{2}$ |
$E_3$ |
$3$ |
$0$ |
$2$ |
$12$ |
$110$ |
$1204$ |
$14364$ |
$14364$ |
$1$ |
$4$ |
$13$ |
$52$ |
$222$ |
$1014$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 8, 6, 8, 17, 20, 12]$ |
1.4.E.4.1a |
$1$ |
$4$ |
$3$ |
$\mathrm{SU}(2)_{2}$ |
$E_4$ |
$4$ |
$1/4$ |
$2$ |
$12$ |
$100$ |
$1008$ |
$11424$ |
$11424$ |
$1$ |
$4$ |
$11$ |
$46$ |
$182$ |
$824$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 6, 8, 6, 15, 16, 16]$ |
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.8.3a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{4,1}$ |
$8$ |
$7/8$ |
$1$ |
$12$ |
$160$ |
$2240$ |
$32256$ |
$32256$ |
$1$ |
$4$ |
$13$ |
$63$ |
$311$ |
$1678$ |
|
|
|
|
✓ |
$[1, 1, 3, 6, 10, 11, 13, 40, 46, 31]$ |
1.4.F.8.5a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$J(D_2)$ |
$8$ |
$7/8$ |
$1$ |
$12$ |
$160$ |
$2240$ |
$32256$ |
$32256$ |
$1$ |
$5$ |
$13$ |
$67$ |
$311$ |
$1694$ |
|
|
|
|
✓ |
$[1, 1, 4, 7, 10, 16, 13, 43, 46, 44]$ |
1.4.F.12.3a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$T$ |
$12$ |
$1/4$ |
$2$ |
$12$ |
$120$ |
$1540$ |
$21672$ |
$21672$ |
$1$ |
$4$ |
$12$ |
$52$ |
$236$ |
$1202$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 8, 8, 10, 27, 32, 22]$ |
1.4.F.24.12b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$O$ |
$24$ |
$3/8$ |
$2$ |
$12$ |
$100$ |
$1050$ |
$12852$ |
$12852$ |
$1$ |
$4$ |
$11$ |
$45$ |
$181$ |
$837$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 6, 7, 6, 16, 18, 16]$ |
1.6.B.1.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{U}(3)$ |
$\mathrm{U}(3)$ |
$1$ |
$0$ |
$2$ |
$12$ |
$120$ |
$1610$ |
$25956$ |
$25956$ |
$1$ |
$4$ |
$18$ |
$107$ |
$743$ |
$5793$ |
$6$ |
$232$ |
$21260$ |
|
✓ |
$[1, 2, 3, 4, 4, 8, 9, 9, 12, 10, 6, 17, 22, 26, 40, 24, 19, 40, 30, 20]$ |
1.6.D.2.1a |
$1$ |
$6$ |
$11$ |
$\mathrm{U}(1)\times\mathrm{USp}(4)$ |
$N(\mathrm{U}(1)\times \mathrm{USp}(4))$ |
$2$ |
$0$ |
$2$ |
$12$ |
$114$ |
$1421$ |
$21195$ |
$21195$ |
$2$ |
$6$ |
$23$ |
$112$ |
$668$ |
$4656$ |
$6$ |
$198$ |
$15216$ |
✓ |
✓ |
$[1, 2, 3, 2, 4, 7, 6, 7, 7, 4, 6, 15, 13, 18, 25, 13, 13, 18, 15, 6]$ |
1.6.N.48.48a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(D(2,2))$ |
$48$ |
$2/3$ |
$1$ |
$12$ |
$310$ |
$9590$ |
$310086$ |
$310086$ |
$1$ |
$5$ |
$33$ |
$352$ |
$4486$ |
$60779$ |
$5$ |
$997$ |
$322160$ |
|
✓ |
$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$ |
1.6.N.72.41a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$E(72)$ |
$72$ |
$1/9$ |
$2$ |
$12$ |
$220$ |
$6440$ |
$206892$ |
$206892$ |
$1$ |
$4$ |
$23$ |
$236$ |
$2991$ |
$40512$ |
$6$ |
$694$ |
$215160$ |
|
✓ |
$[1, 2, 3, 4, 4, 18, 25, 36, 62, 37, 14, 128, 172, 404, 822, 450, 446, 1118, 990, 332]$ |
1.6.N.168.42a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$E(168)$ |
$168$ |
$1/3$ |
$2$ |
$12$ |
$140$ |
$3080$ |
$90972$ |
$90972$ |
$1$ |
$4$ |
$19$ |
$140$ |
$1451$ |
$18112$ |
$6$ |
$366$ |
$94080$ |
|
✓ |
$[1, 2, 3, 4, 4, 10, 15, 18, 30, 23, 10, 56, 84, 176, 356, 206, 198, 498, 436, 172]$ |
1.6.N.216.153a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$E(216)$ |
$216$ |
$7/27$ |
$2$ |
$12$ |
$140$ |
$2800$ |
$75852$ |
$75852$ |
$1$ |
$4$ |
$19$ |
$136$ |
$1311$ |
$15312$ |
$6$ |
$334$ |
$76240$ |
|
✓ |
$[1, 2, 3, 4, 4, 10, 13, 16, 26, 17, 10, 48, 64, 140, 282, 158, 158, 382, 338, 120]$ |