| 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.6.1a |
$1$ |
$4$ |
$3$ |
$\mathrm{SU}(2)_{2}$ |
$J(E_3)$ |
$6$ |
$1/2$ |
$1$ |
$6$ |
$55$ |
$602$ |
$7182$ |
$7182$ |
$1$ |
$3$ |
$8$ |
$29$ |
$116$ |
$517$ |
|
|
|
|
✓ |
$[1, 1, 2, 3, 4, 4, 4, 9, 10, 7]$ |
| 1.4.F.6.1a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_3$ |
$6$ |
$1/2$ |
$2$ |
$18$ |
$220$ |
$3010$ |
$43092$ |
$43092$ |
$1$ |
$5$ |
$17$ |
$85$ |
$421$ |
$2263$ |
|
|
|
|
✓ |
$[1, 2, 4, 7, 14, 14, 18, 53, 62, 41]$ |
| 1.4.F.6.1b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{3,2}$ |
$6$ |
$1/2$ |
$2$ |
$18$ |
$220$ |
$3010$ |
$43092$ |
$43092$ |
$2$ |
$6$ |
$21$ |
$90$ |
$437$ |
$2285$ |
|
|
|
|
✓ |
$[1, 2, 3, 8, 14, 12, 18, 51, 62, 35]$ |
| 1.6.E.6.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{SU}(2)^3$ |
$E_{s,t}$ |
$6$ |
$1/3$ |
$1$ |
$5$ |
$50$ |
$714$ |
$12222$ |
$12222$ |
$1$ |
$3$ |
$12$ |
$65$ |
$436$ |
$3377$ |
$3$ |
$124$ |
$12275$ |
✓ |
✓ |
$[1, 1, 2, 2, 2, 4, 5, 6, 6, 4, 3, 8, 10, 16, 24, 12, 15, 23, 15, 7]$ |
| 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.J.6.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_3),E_3)$ |
$6$ |
$1/2$ |
$2$ |
$21$ |
$335$ |
$6797$ |
$159138$ |
$159138$ |
$2$ |
$8$ |
$45$ |
$348$ |
$3267$ |
$34220$ |
$8$ |
$828$ |
$154420$ |
|
✓ |
$[1, 2, 5, 4, 9, 26, 28, 40, 54, 25, 17, 102, 117, 245, 466, 219, 227, 485, 395, 105]$ |
| 1.6.J.6.1b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(J(E_3))$ |
$6$ |
$0$ |
$3$ |
$24$ |
$345$ |
$6832$ |
$159264$ |
$159264$ |
$2$ |
$8$ |
$45$ |
$348$ |
$3267$ |
$34220$ |
$10$ |
$846$ |
$154620$ |
|
✓ |
$[1, 3, 5, 5, 8, 26, 29, 36, 55, 25, 19, 102, 121, 248, 466, 224, 220, 489, 394, 110]$ |
| 1.6.K.6.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_3$ |
$6$ |
$0$ |
$3$ |
$32$ |
$555$ |
$11984$ |
$291144$ |
$291144$ |
$2$ |
$10$ |
$66$ |
$560$ |
$5492$ |
$58886$ |
$13$ |
$1370$ |
$263715$ |
|
✓ |
$[1, 3, 7, 6, 10, 44, 43, 58, 87, 35, 28, 188, 206, 440, 800, 362, 380, 834, 648, 174]$ |
| 1.6.K.6.1b |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_{3,2}$ |
$6$ |
$0$ |
$3$ |
$32$ |
$555$ |
$11984$ |
$291144$ |
$291144$ |
$3$ |
$13$ |
$76$ |
$591$ |
$5588$ |
$59180$ |
$14$ |
$1380$ |
$263825$ |
|
✓ |
$[1, 3, 8, 5, 11, 44, 42, 64, 85, 34, 29, 191, 203, 441, 800, 359, 396, 826, 649, 166]$ |
| 1.6.L.6.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_3,C_3)$ |
$6$ |
$1/2$ |
$3$ |
$45$ |
$950$ |
$24045$ |
$673218$ |
$673218$ |
$2$ |
$12$ |
$96$ |
$968$ |
$10992$ |
$133706$ |
$16$ |
$2604$ |
$659860$ |
|
✓ |
$[1, 3, 9, 7, 15, 78, 82, 116, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1157, 2760, 2349, 657]$ |
| 1.6.L.6.1b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_3)$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$96$ |
$968$ |
$10992$ |
$133706$ |
$18$ |
$2622$ |
$660060$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2300, 1160, 1160, 2802, 2368, 710]$ |
| 1.6.L.6.1c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{3,2},C_3)$ |
$6$ |
$1/2$ |
$3$ |
$45$ |
$950$ |
$24045$ |
$673218$ |
$673218$ |
$3$ |
$15$ |
$106$ |
$999$ |
$11088$ |
$134000$ |
$16$ |
$2604$ |
$659860$ |
|
✓ |
$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$ |
| 1.6.L.6.1d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{3,2})$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$3$ |
$15$ |
$106$ |
$999$ |
$11088$ |
$134000$ |
$20$ |
$2652$ |
$660500$ |
|
✓ |
$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$ |
| 1.6.M.6.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_3)$ |
$6$ |
$1/3$ |
$2$ |
$28$ |
$610$ |
$15316$ |
$413364$ |
$413364$ |
$2$ |
$10$ |
$74$ |
$706$ |
$7662$ |
$88950$ |
$12$ |
$1850$ |
$426888$ |
|
✓ |
$[1, 2, 7, 6, 10, 54, 59, 88, 136, 57, 30, 258, 312, 724, 1410, 678, 712, 1622, 1328, 364]$ |
| 1.6.N.6.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,1)$ |
$6$ |
$1/3$ |
$4$ |
$84$ |
$2440$ |
$76580$ |
$2480184$ |
$2480184$ |
$2$ |
$18$ |
$206$ |
$2642$ |
$35382$ |
$484734$ |
$30$ |
$7882$ |
$2576100$ |
|
✓ |
$[1, 4, 15, 18, 30, 214, 255, 388, 708, 329, 150, 1506, 1952, 4770, 9858, 5188, 5276, 13174, 11680, 3570]$ |
| 1.6.N.6.1b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(A(3,1))$ |
$6$ |
$5/6$ |
$3$ |
$81$ |
$2430$ |
$76545$ |
$2480058$ |
$2480058$ |
$3$ |
$21$ |
$216$ |
$2673$ |
$35478$ |
$485028$ |
$28$ |
$7860$ |
$2575810$ |
|
✓ |
$[1, 3, 16, 13, 30, 214, 244, 393, 699, 299, 142, 1509, 1896, 4759, 9858, 5109, 5295, 13054, 11634, 3395]$ |
| 1.6.N.6.1c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(A(1,3))$ |
$6$ |
$1/2$ |
$5$ |
$99$ |
$2610$ |
$78435$ |
$2500470$ |
$2500470$ |
$4$ |
$26$ |
$243$ |
$2826$ |
$36369$ |
$490311$ |
$34$ |
$8130$ |
$2589040$ |
|
✓ |
$[1, 5, 19, 15, 35, 224, 252, 400, 709, 303, 152, 1522, 1906, 4769, 9876, 5125, 5310, 13068, 11650, 3405]$ |
