| 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.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.F.3.1a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_3$ |
$3$ |
$0$ |
$4$ |
$36$ |
$440$ |
$6020$ |
$86184$ |
$86184$ |
$2$ |
$8$ |
$34$ |
$164$ |
$842$ |
$4506$ |
|
|
|
|
✓ |
$[1, 4, 5, 12, 28, 20, 36, 101, 124, 66]$ |
| 1.6.E.3.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{SU}(2)^3$ |
$E_{s}$ |
$3$ |
$2/3$ |
$1$ |
$8$ |
$95$ |
$1414$ |
$24402$ |
$24402$ |
$1$ |
$4$ |
$20$ |
$121$ |
$851$ |
$6703$ |
$5$ |
$244$ |
$24525$ |
|
✓ |
$[1, 1, 3, 2, 2, 8, 7, 9, 10, 4, 4, 15, 15, 30, 48, 19, 27, 40, 26, 8]$ |
| 1.6.H.3.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{s}$ |
$3$ |
$2/3$ |
$2$ |
$30$ |
$620$ |
$14910$ |
$390852$ |
$390852$ |
$1$ |
$7$ |
$61$ |
$615$ |
$6741$ |
$78043$ |
$12$ |
$1644$ |
$369720$ |
|
✓ |
$[1, 2, 6, 6, 9, 52, 52, 68, 114, 46, 32, 247, 284, 630, 1204, 562, 569, 1320, 1070, 294]$ |
| 1.6.I.3.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times E_3$ |
$3$ |
$0$ |
$3$ |
$26$ |
$355$ |
$6258$ |
$128646$ |
$128646$ |
$2$ |
$9$ |
$53$ |
$385$ |
$3238$ |
$30163$ |
$12$ |
$872$ |
$124190$ |
|
✓ |
$[1, 3, 6, 5, 7, 28, 26, 34, 47, 18, 15, 81, 87, 181, 318, 137, 153, 299, 218, 57]$ |
| 1.6.J.3.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(E_3)$ |
$3$ |
$0$ |
$4$ |
$42$ |
$670$ |
$13594$ |
$318276$ |
$318276$ |
$2$ |
$11$ |
$77$ |
$661$ |
$6438$ |
$68173$ |
$16$ |
$1656$ |
$308840$ |
|
✓ |
$[1, 4, 8, 8, 13, 52, 54, 66, 108, 44, 34, 201, 234, 490, 932, 438, 431, 970, 780, 210]$ |
| 1.6.K.3.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times C_3$ |
$3$ |
$0$ |
$5$ |
$62$ |
$1105$ |
$23954$ |
$582246$ |
$582246$ |
$3$ |
$17$ |
$125$ |
$1101$ |
$10933$ |
$117631$ |
$24$ |
$2728$ |
$527330$ |
|
✓ |
$[1, 5, 12, 9, 17, 88, 82, 108, 169, 60, 53, 373, 401, 877, 1600, 713, 747, 1647, 1280, 327]$ |
| 1.6.L.3.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(C_3)$ |
$3$ |
$0$ |
$6$ |
$90$ |
$1900$ |
$48090$ |
$1346436$ |
$1346436$ |
$3$ |
$21$ |
$185$ |
$1917$ |
$21933$ |
$267271$ |
$32$ |
$5208$ |
$1319720$ |
|
✓ |
$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4600, 2266, 2301, 5520, 4688, 1314]$ |
| 1.6.M.3.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_3)$ |
$3$ |
$2/3$ |
$3$ |
$54$ |
$1215$ |
$30618$ |
$826686$ |
$826686$ |
$2$ |
$15$ |
$135$ |
$1377$ |
$15228$ |
$177633$ |
$23$ |
$3696$ |
$853742$ |
|
✓ |
$[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$ |
| 1.6.N.3.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,1)$ |
$3$ |
$2/3$ |
$6$ |
$162$ |
$4860$ |
$153090$ |
$4960116$ |
$4960116$ |
$3$ |
$33$ |
$405$ |
$5265$ |
$70713$ |
$969327$ |
$56$ |
$15720$ |
$5151620$ |
|
✓ |
$[1, 6, 28, 26, 51, 428, 484, 750, 1398, 582, 284, 3009, 3792, 9518, 19716, 10218, 10509, 26108, 23232, 6790]$ |
| 1.6.N.3.1b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,3)$ |
$3$ |
$0$ |
$10$ |
$198$ |
$5220$ |
$156870$ |
$5000940$ |
$5000940$ |
$5$ |
$43$ |
$459$ |
$5571$ |
$72495$ |
$979893$ |
$68$ |
$16260$ |
$5178080$ |
|
✓ |
$[1, 10, 34, 30, 61, 448, 500, 764, 1418, 590, 304, 3035, 3812, 9538, 19752, 10250, 10539, 26136, 23264, 6810]$ |
