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.B.1.1a |
$1$ |
$4$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
$1$ |
$0$ |
$2$ |
$10$ |
$70$ |
$588$ |
$5544$ |
$5544$ |
$2$ |
$5$ |
$14$ |
$44$ |
$152$ |
$569$ |
|
|
|
|
✓ |
$[1, 2, 2, 3, 4, 3, 4, 6, 6, 4]$ |
1.4.C.1.1a |
$1$ |
$4$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)$ |
$1$ |
$0$ |
$3$ |
$20$ |
$175$ |
$1764$ |
$19404$ |
$19404$ |
$2$ |
$6$ |
$20$ |
$76$ |
$312$ |
$1364$ |
|
|
|
|
✓ |
$[1, 3, 3, 6, 10, 6, 10, 21, 21, 10]$ |
1.4.C.2.1a |
$1$ |
$4$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)$ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
$2$ |
$0$ |
$2$ |
$11$ |
$90$ |
$889$ |
$9723$ |
$9723$ |
$2$ |
$5$ |
$14$ |
$46$ |
$172$ |
$714$ |
|
|
|
✓ |
✓ |
$[1, 2, 2, 4, 5, 4, 6, 11, 11, 6]$ |
1.4.D.1.1a |
$1$ |
$4$ |
$2$ |
$\mathrm{U}(1)\times\mathrm{U}(1)$ |
$F$ |
$1$ |
$0$ |
$4$ |
$36$ |
$400$ |
$4900$ |
$63504$ |
$63504$ |
$2$ |
$8$ |
$32$ |
$148$ |
$712$ |
$3584$ |
|
|
|
✓ |
✓ |
$[1, 4, 5, 12, 24, 16, 28, 73, 80, 40]$ |
1.4.D.2.1a |
$1$ |
$4$ |
$2$ |
$\mathrm{U}(1)\times\mathrm{U}(1)$ |
$F_{ab}$ |
$2$ |
$1/2$ |
$2$ |
$18$ |
$200$ |
$2450$ |
$31752$ |
$31752$ |
$2$ |
$6$ |
$20$ |
$82$ |
$372$ |
$1824$ |
|
|
|
|
✓ |
$[1, 2, 3, 8, 12, 10, 14, 37, 40, 22]$ |
1.4.D.2.1b |
$1$ |
$4$ |
$2$ |
$\mathrm{U}(1)\times\mathrm{U}(1)$ |
$F_a$ |
$2$ |
$0$ |
$3$ |
$21$ |
$210$ |
$2485$ |
$31878$ |
$31878$ |
$2$ |
$6$ |
$20$ |
$82$ |
$372$ |
$1824$ |
|
|
|
|
✓ |
$[1, 3, 3, 7, 12, 9, 15, 37, 42, 21]$ |
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.2.1b |
$1$ |
$4$ |
$3$ |
$\mathrm{SU}(2)_{2}$ |
$J(E_1)$ |
$2$ |
$1/2$ |
$2$ |
$16$ |
$160$ |
$1792$ |
$21504$ |
$21504$ |
$2$ |
$6$ |
$20$ |
$78$ |
$332$ |
$1516$ |
|
|
|
|
✓ |
$[1, 2, 3, 6, 10, 8, 10, 25, 28, 16]$ |
1.4.F.2.1b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_2$ |
$2$ |
$1/2$ |
$4$ |
$48$ |
$640$ |
$8960$ |
$129024$ |
$129024$ |
$2$ |
$10$ |
$44$ |
$230$ |
$1212$ |
$6628$ |
|
|
|
|
✓ |
$[1, 4, 7, 18, 40, 32, 52, 153, 184, 104]$ |
1.4.F.3.1a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_3$ |
$3$ |
$0$ |
$4$ |
$36$ |
$440$ |
$6020$ |
$86184$ |
$86184$ |
$2$ |
$8$ |
$34$ |
$164$ |
$842$ |
$4506$ |
|
|
|
|
✓ |
$[1, 4, 5, 12, 28, 20, 36, 101, 124, 66]$ |
1.4.F.4.1b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_4$ |
$4$ |
$1/4$ |
$4$ |
$36$ |
$400$ |
$5040$ |
$68544$ |
$68544$ |
$2$ |
$8$ |
$32$ |
$150$ |
$732$ |
$3776$ |
|
|
|
|
✓ |
$[1, 4, 5, 12, 24, 18, 28, 79, 96, 54]$ |
1.4.F.4.2c |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{2,1}$ |
$4$ |
$3/4$ |
$2$ |
$24$ |
$320$ |
$4480$ |
$64512$ |
$64512$ |
$2$ |
$7$ |
$26$ |
$123$ |
$622$ |
$3346$ |
|
|
|
|
✓ |
$[1, 2, 4, 11, 20, 18, 26, 77, 92, 54]$ |
1.4.F.6.1b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{3,2}$ |
$6$ |
$1/2$ |
$2$ |
$18$ |
$220$ |
$3010$ |
$43092$ |
$43092$ |
$2$ |
$6$ |
$21$ |
$90$ |
$437$ |
$2285$ |
|
|
|
|
✓ |
$[1, 2, 3, 8, 14, 12, 18, 51, 62, 35]$ |
1.4.F.6.2c |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_6$ |
$6$ |
$1/6$ |
$4$ |
$36$ |
$400$ |
$4900$ |
$63504$ |
$63504$ |
$2$ |
$8$ |
$32$ |
$148$ |
$712$ |
$3586$ |
|
|
|
|
✓ |
$[1, 4, 5, 12, 24, 16, 28, 73, 80, 42]$ |
1.4.F.8.3c |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{4,2}$ |
$8$ |
$5/8$ |
$2$ |
$18$ |
$200$ |
$2520$ |
$34272$ |
$34272$ |
$2$ |
$6$ |
$20$ |
$83$ |
$382$ |
$1920$ |
|
|
|
|
✓ |
$[1, 2, 3, 8, 12, 11, 14, 40, 48, 29]$ |
1.4.F.12.4d |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$D_{6,2}$ |
$12$ |
$7/12$ |
$2$ |
$18$ |
$200$ |
$2450$ |
$31752$ |
$31752$ |
$2$ |
$6$ |
$20$ |
$82$ |
$372$ |
$1825$ |
|
|
|
|
✓ |
$[1, 2, 3, 8, 12, 10, 14, 37, 40, 23]$ |
1.6.C.1.1a |
$1$ |
$6$ |
$13$ |
$\mathrm{SU}(2)\times\mathrm{USp}(4)$ |
$\mathrm{SU}(2)\times \mathrm{USp}(4)$ |
$1$ |
$0$ |
$2$ |
$11$ |
$94$ |
$1050$ |
$14076$ |
$14076$ |
$2$ |
$6$ |
$23$ |
$109$ |
$613$ |
$3941$ |
$6$ |
$188$ |
$12226$ |
✓ |
✓ |
$[1, 2, 3, 2, 3, 6, 5, 6, 6, 3, 4, 9, 8, 12, 16, 8, 10, 12, 9, 4]$ |
1.6.D.1.1a |
$1$ |
$6$ |
$11$ |
$\mathrm{U}(1)\times\mathrm{USp}(4)$ |
$\mathrm{U}(1)\times \mathrm{USp}(4)$ |
$1$ |
$0$ |
$3$ |
$21$ |
$214$ |
$2758$ |
$41796$ |
$41796$ |
$2$ |
$7$ |
$32$ |
$181$ |
$1193$ |
$8801$ |
$8$ |
$348$ |
$29536$ |
|
✓ |
$[1, 3, 4, 3, 6, 13, 11, 10, 13, 6, 10, 27, 24, 34, 50, 24, 20, 34, 27, 10]$ |
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.E.2.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{SU}(2)^3$ |
$E_{t}$ |
$2$ |
$0$ |
$2$ |
$13$ |
$145$ |
$2128$ |
$36624$ |
$36624$ |
$2$ |
$7$ |
$32$ |
$186$ |
$1287$ |
$10080$ |
$7$ |
$366$ |
$36795$ |
|
✓ |
$[1, 2, 4, 3, 4, 11, 11, 15, 16, 7, 6, 23, 25, 45, 70, 31, 40, 62, 41, 13]$ |
1.6.F.2.1a |
$1$ |
$6$ |
$7$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)^2$ |
$F_{at}$ |
$2$ |
$1/2$ |
$2$ |
$20$ |
$285$ |
$4949$ |
$97608$ |
$97608$ |
$2$ |
$8$ |
$44$ |
$308$ |
$2507$ |
$22530$ |
$9$ |
$692$ |
$90730$ |
|
✓ |
$[1, 2, 5, 3, 6, 22, 20, 25, 33, 12, 10, 61, 62, 122, 210, 87, 91, 179, 130, 31]$ |
1.6.F.2.1b |
$1$ |
$6$ |
$7$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)^2$ |
$F_{t}$ |
$2$ |
$0$ |
$3$ |
$23$ |
$295$ |
$4984$ |
$97734$ |
$97734$ |
$2$ |
$8$ |
$44$ |
$308$ |
$2507$ |
$22530$ |
$10$ |
$698$ |
$90780$ |
|
✓ |
$[1, 3, 5, 5, 7, 22, 24, 26, 35, 17, 13, 61, 73, 125, 210, 99, 92, 191, 135, 45]$ |
1.6.F.4.2a |
$1$ |
$6$ |
$7$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)^2$ |
$F_{a,t}$ |
$4$ |
$1/4$ |
$2$ |
$14$ |
$165$ |
$2639$ |
$50253$ |
$50253$ |
$2$ |
$7$ |
$32$ |
$191$ |
$1402$ |
$11905$ |
$7$ |
$389$ |
$46510$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 12, 13, 17, 18, 10, 8, 33, 38, 64, 105, 51, 54, 97, 71, 24]$ |
1.6.G.4.1a |
$1$ |
$6$ |
$5$ |
$\mathrm{U}(1)^2\times\mathrm{SU}(2)$ |
$F_{ac}\times \mathrm{SU}(2)$ |
$4$ |
$0$ |
$2$ |
$17$ |
$270$ |
$5439$ |
$123123$ |
$123123$ |
$2$ |
$7$ |
$38$ |
$284$ |
$2567$ |
$25820$ |
$7$ |
$658$ |
$111760$ |
✓ |
✓ |
$[1, 2, 4, 3, 6, 21, 21, 29, 38, 15, 13, 81, 85, 174, 310, 136, 146, 296, 229, 57]$ |
1.6.H.4.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{act}$ |
$4$ |
$1/2$ |
$2$ |
$24$ |
$470$ |
$11200$ |
$293202$ |
$293202$ |
$2$ |
$8$ |
$53$ |
$482$ |
$5117$ |
$58715$ |
$10$ |
$1254$ |
$277600$ |
|
✓ |
$[1, 2, 5, 4, 8, 38, 39, 54, 86, 35, 24, 188, 214, 474, 900, 424, 431, 990, 807, 218]$ |
1.6.H.4.1b |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{at}$ |
$4$ |
$0$ |
$3$ |
$27$ |
$480$ |
$11235$ |
$293328$ |
$293328$ |
$2$ |
$8$ |
$53$ |
$482$ |
$5117$ |
$58715$ |
$10$ |
$1254$ |
$277600$ |
|
✓ |
$[1, 3, 5, 5, 9, 38, 42, 54, 87, 35, 26, 188, 216, 475, 900, 425, 432, 992, 810, 219]$ |
1.6.H.8.2a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{c,at}$ |
$8$ |
$3/8$ |
$2$ |
$18$ |
$290$ |
$6230$ |
$154602$ |
$154602$ |
$2$ |
$7$ |
$38$ |
$293$ |
$2822$ |
$30805$ |
$7$ |
$699$ |
$142000$ |
✓ |
✓ |
$[1, 2, 4, 3, 7, 22, 23, 33, 44, 20, 15, 101, 110, 240, 450, 215, 228, 498, 416, 112]$ |
1.6.I.2.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times E_2$ |
$2$ |
$0$ |
$3$ |
$30$ |
$465$ |
$8806$ |
$187446$ |
$187446$ |
$2$ |
$11$ |
$69$ |
$531$ |
$4628$ |
$44045$ |
$14$ |
$1228$ |
$183420$ |
|
✓ |
$[1, 3, 8, 7, 9, 38, 38, 52, 71, 30, 19, 119, 135, 269, 470, 209, 231, 463, 334, 97]$ |
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.I.4.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times E_4$ |
$4$ |
$0$ |
$3$ |
$26$ |
$345$ |
$5782$ |
$112686$ |
$112686$ |
$2$ |
$9$ |
$51$ |
$359$ |
$2908$ |
$26103$ |
$12$ |
$812$ |
$105080$ |
|
✓ |
$[1, 3, 6, 5, 7, 26, 24, 30, 41, 18, 13, 71, 75, 147, 250, 113, 121, 239, 176, 53]$ |
1.6.I.4.2a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_2)$ |
$4$ |
$0$ |
$2$ |
$16$ |
$235$ |
$4410$ |
$93744$ |
$93744$ |
$2$ |
$8$ |
$41$ |
$283$ |
$2362$ |
$22156$ |
$8$ |
$620$ |
$91760$ |
|
✓ |
$[1, 2, 5, 4, 6, 19, 20, 30, 36, 17, 11, 61, 69, 136, 235, 106, 122, 233, 170, 50]$ |
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.I.6.2a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times E_6$ |
$6$ |
$0$ |
$3$ |
$26$ |
$345$ |
$5754$ |
$110586$ |
$110586$ |
$2$ |
$9$ |
$51$ |
$357$ |
$2868$ |
$25403$ |
$12$ |
$808$ |
$101370$ |
|
✓ |
$[1, 3, 6, 5, 7, 26, 24, 28, 39, 16, 13, 69, 73, 135, 230, 99, 101, 201, 146, 43]$ |
1.6.I.8.3a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_4)$ |
$8$ |
$0$ |
$2$ |
$14$ |
$175$ |
$2898$ |
$56364$ |
$56364$ |
$2$ |
$7$ |
$32$ |
$197$ |
$1502$ |
$13185$ |
$7$ |
$412$ |
$52590$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 37, 39, 75, 125, 58, 67, 121, 91, 28]$ |
1.6.I.12.4a |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_6)$ |
$12$ |
$0$ |
$2$ |
$14$ |
$175$ |
$2884$ |
$55314$ |
$55314$ |
$2$ |
$7$ |
$32$ |
$196$ |
$1482$ |
$12835$ |
$7$ |
$410$ |
$50735$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 13, 13, 18, 20, 10, 8, 36, 38, 69, 115, 51, 57, 102, 76, 23]$ |
1.6.J.2.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(E_2,E_1)$ |
$2$ |
$1/2$ |
$3$ |
$43$ |
$830$ |
$18627$ |
$458010$ |
$458010$ |
$2$ |
$13$ |
$99$ |
$907$ |
$9188$ |
$99515$ |
$18$ |
$2338$ |
$456520$ |
|
✓ |
$[1, 3, 10, 7, 12, 70, 71, 94, 151, 58, 34, 287, 328, 725, 1376, 631, 636, 1440, 1149, 295]$ |
1.6.J.2.1b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(E_2)$ |
$2$ |
$0$ |
$4$ |
$46$ |
$840$ |
$18662$ |
$458136$ |
$458136$ |
$2$ |
$13$ |
$99$ |
$907$ |
$9188$ |
$99515$ |
$20$ |
$2356$ |
$456720$ |
|
✓ |
$[1, 4, 10, 12, 15, 70, 80, 102, 160, 82, 40, 287, 368, 732, 1376, 680, 649, 1520, 1188, 396]$ |
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.J.4.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(E_4,E_2)$ |
$4$ |
$0$ |
$3$ |
$27$ |
$440$ |
$9443$ |
$229740$ |
$229740$ |
$2$ |
$9$ |
$57$ |
$479$ |
$4688$ |
$50123$ |
$14$ |
$1242$ |
$229640$ |
|
✓ |
$[1, 3, 6, 7, 8, 36, 41, 52, 81, 44, 20, 145, 184, 371, 688, 345, 326, 760, 599, 203]$ |
1.6.J.4.1b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(E_4)$ |
$4$ |
$0$ |
$4$ |
$42$ |
$660$ |
$12838$ |
$285096$ |
$285096$ |
$2$ |
$11$ |
$75$ |
$623$ |
$5828$ |
$59313$ |
$16$ |
$1524$ |
$259520$ |
|
✓ |
$[1, 4, 8, 8, 13, 50, 50, 60, 92, 46, 32, 183, 208, 404, 736, 364, 339, 784, 622, 208]$ |
1.6.J.4.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_2),E_2)$ |
$4$ |
$1/2$ |
$2$ |
$23$ |
$420$ |
$9331$ |
$229068$ |
$229068$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$10$ |
$1178$ |
$228360$ |
|
✓ |
$[1, 2, 6, 6, 10, 35, 41, 58, 80, 44, 20, 145, 184, 366, 688, 340, 336, 760, 599, 198]$ |
1.6.J.4.2b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_2),J(E_1))$ |
$4$ |
$1/2$ |
$2$ |
$23$ |
$420$ |
$9331$ |
$229068$ |
$229068$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$10$ |
$1178$ |
$228360$ |
|
✓ |
$[1, 2, 6, 4, 8, 35, 37, 52, 76, 32, 18, 145, 166, 364, 688, 318, 326, 722, 579, 150]$ |
1.6.J.4.2c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(J(E_2))$ |
$4$ |
$0$ |
$3$ |
$26$ |
$430$ |
$9366$ |
$229194$ |
$229194$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$12$ |
$1196$ |
$228560$ |
|
✓ |
$[1, 3, 6, 7, 9, 35, 42, 54, 81, 44, 22, 145, 188, 369, 688, 345, 329, 764, 598, 203]$ |
1.6.J.4.2d |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(E_2)$ |
$4$ |
$1/4$ |
$3$ |
$31$ |
$500$ |
$10227$ |
$239820$ |
$239820$ |
$2$ |
$11$ |
$69$ |
$547$ |
$5068$ |
$52285$ |
$14$ |
$1306$ |
$233480$ |
|
✓ |
$[1, 3, 8, 7, 10, 40, 43, 58, 81, 44, 24, 153, 188, 371, 688, 345, 340, 764, 609, 203]$ |
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.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.J.6.2b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(E_3)$ |
$6$ |
$0$ |
$3$ |
$27$ |
$390$ |
$7399$ |
$166320$ |
$166320$ |
$2$ |
$9$ |
$53$ |
$397$ |
$3548$ |
$35813$ |
$12$ |
$924$ |
$157940$ |
|
✓ |
$[1, 3, 6, 5, 8, 30, 29, 38, 55, 24, 20, 107, 120, 249, 466, 223, 226, 488, 399, 109]$ |
1.6.J.6.2c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(E_6)$ |
$6$ |
$0$ |
$4$ |
$42$ |
$660$ |
$12810$ |
$281736$ |
$281736$ |
$2$ |
$11$ |
$75$ |
$621$ |
$5768$ |
$57953$ |
$16$ |
$1512$ |
$249000$ |
|
✓ |
$[1, 4, 8, 8, 13, 50, 50, 58, 88, 40, 32, 181, 204, 384, 680, 312, 299, 664, 504, 160]$ |
1.6.J.8.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(E_4)$ |
$8$ |
$1/8$ |
$3$ |
$27$ |
$380$ |
$6923$ |
$148260$ |
$148260$ |
$2$ |
$9$ |
$51$ |
$371$ |
$3198$ |
$31103$ |
$12$ |
$858$ |
$132960$ |
|
✓ |
$[1, 3, 6, 5, 8, 28, 27, 34, 47, 26, 18, 97, 106, 207, 368, 187, 178, 394, 321, 109]$ |