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.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.D.2.1b |
$1$ |
$4$ |
$2$ |
$\mathrm{U}(1)\times\mathrm{U}(1)$ |
$F_a$ |
$2$ |
$0$ |
$3$ |
$21$ |
$210$ |
$2485$ |
$31878$ |
$31878$ |
$2$ |
$6$ |
$20$ |
$82$ |
$372$ |
$1824$ |
|
|
|
|
✓ |
$[1, 3, 3, 7, 12, 9, 15, 37, 42, 21]$ |
1.6.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.E.1.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{SU}(2)^3$ |
$E$ |
$1$ |
$0$ |
$3$ |
$24$ |
$285$ |
$4242$ |
$73206$ |
$73206$ |
$3$ |
$12$ |
$60$ |
$363$ |
$2553$ |
$20109$ |
$13$ |
$728$ |
$73565$ |
|
✓ |
$[1, 3, 7, 4, 6, 22, 19, 27, 30, 10, 10, 45, 45, 88, 140, 57, 77, 118, 78, 20]$ |
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.2.1c |
$1$ |
$6$ |
$7$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)^2$ |
$F_{a}$ |
$2$ |
$0$ |
$3$ |
$25$ |
$320$ |
$5243$ |
$100380$ |
$100380$ |
$3$ |
$12$ |
$60$ |
$373$ |
$2783$ |
$23759$ |
$13$ |
$772$ |
$92970$ |
|
✓ |
$[1, 3, 7, 4, 7, 24, 21, 30, 34, 13, 13, 65, 65, 125, 210, 90, 104, 182, 135, 34]$ |
1.6.G.2.1a |
$1$ |
$6$ |
$5$ |
$\mathrm{U}(1)^2\times\mathrm{SU}(2)$ |
$F_{ab}\times \mathrm{SU}(2)$ |
$2$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10864$ |
$246204$ |
$246204$ |
$3$ |
$13$ |
$75$ |
$567$ |
$5133$ |
$51639$ |
$14$ |
$1316$ |
$223520$ |
|
✓ |
$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 291, 591, 456, 113]$ |
1.6.G.4.2a |
$1$ |
$6$ |
$5$ |
$\mathrm{U}(1)^2\times\mathrm{SU}(2)$ |
$F_{a,b}\times \mathrm{SU}(2)$ |
$4$ |
$0$ |
$3$ |
$26$ |
$355$ |
$6314$ |
$132804$ |
$132804$ |
$3$ |
$12$ |
$60$ |
$384$ |
$3048$ |
$28259$ |
$13$ |
$818$ |
$117360$ |
✓ |
✓ |
$[1, 3, 7, 4, 8, 26, 23, 34, 39, 17, 16, 88, 88, 178, 310, 140, 155, 299, 237, 61]$ |
1.6.H.2.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{abc}$ |
$2$ |
$1/2$ |
$3$ |
$45$ |
$930$ |
$22365$ |
$586278$ |
$586278$ |
$3$ |
$15$ |
$105$ |
$963$ |
$10233$ |
$117429$ |
$16$ |
$2460$ |
$554560$ |
|
✓ |
$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 888, 1978, 1623, 431]$ |
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.4.2a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{ab,bc}$ |
$4$ |
$0$ |
$3$ |
$27$ |
$480$ |
$11235$ |
$293328$ |
$293328$ |
$3$ |
$12$ |
$66$ |
$522$ |
$5238$ |
$59079$ |
$14$ |
$1302$ |
$278240$ |
|
✓ |
$[1, 3, 7, 5, 9, 38, 40, 60, 87, 39, 26, 192, 216, 479, 900, 429, 444, 992, 816, 223]$ |
1.6.H.4.2b |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{a,bc}$ |
$4$ |
$1/4$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$3$ |
$13$ |
$75$ |
$585$ |
$5643$ |
$61609$ |
$14$ |
$1398$ |
$284000$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 454, 994, 829, 223]$ |
1.6.H.8.5a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{a,b,c}$ |
$8$ |
$1/8$ |
$3$ |
$27$ |
$390$ |
$7455$ |
$170478$ |
$170478$ |
$3$ |
$12$ |
$60$ |
$396$ |
$3348$ |
$33699$ |
$13$ |
$867$ |
$148720$ |
✓ |
✓ |
$[1, 3, 7, 4, 9, 28, 25, 39, 45, 23, 19, 114, 114, 247, 450, 222, 237, 502, 432, 119]$ |
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.2.1b |
$1$ |
$6$ |
$6$ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ |
$\mathrm{SU}(2)\times J(E_1)$ |
$2$ |
$0$ |
$3$ |
$30$ |
$465$ |
$8806$ |
$187446$ |
$187446$ |
$3$ |
$13$ |
$75$ |
$547$ |
$4673$ |
$44171$ |
$14$ |
$1228$ |
$183420$ |
|
✓ |
$[1, 3, 8, 5, 9, 38, 36, 52, 67, 24, 19, 119, 127, 269, 470, 201, 231, 445, 324, 79]$ |
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.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.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.2.1c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_1),E_1)$ |
$2$ |
$1/2$ |
$3$ |
$43$ |
$830$ |
$18627$ |
$458010$ |
$458010$ |
$3$ |
$15$ |
$105$ |
$923$ |
$9233$ |
$99641$ |
$18$ |
$2338$ |
$456520$ |
|
✓ |
$[1, 3, 10, 7, 14, 70, 71, 100, 151, 58, 34, 287, 328, 725, 1376, 631, 646, 1440, 1149, 295]$ |
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.4.2c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(J(E_2))$ |
$4$ |
$0$ |
$3$ |
$26$ |
$430$ |
$9366$ |
$229194$ |
$229194$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$12$ |
$1196$ |
$228560$ |
|
✓ |
$[1, 3, 6, 7, 9, 35, 42, 54, 81, 44, 22, 145, 188, 369, 688, 345, 329, 764, 598, 203]$ |
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.4.2e |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_1))$ |
$4$ |
$1/4$ |
$3$ |
$31$ |
$500$ |
$10227$ |
$239820$ |
$239820$ |
$3$ |
$13$ |
$75$ |
$563$ |
$5113$ |
$52411$ |
$14$ |
$1306$ |
$233480$ |
|
✓ |
$[1, 3, 8, 5, 10, 40, 39, 58, 77, 32, 22, 153, 170, 369, 688, 323, 340, 726, 589, 155]$ |
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.8.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(E_4)$ |
$8$ |
$1/8$ |
$3$ |
$27$ |
$380$ |
$6923$ |
$148260$ |
$148260$ |
$2$ |
$9$ |
$51$ |
$371$ |
$3198$ |
$31103$ |
$12$ |
$858$ |
$132960$ |
|
✓ |
$[1, 3, 6, 5, 8, 28, 27, 34, 47, 26, 18, 97, 106, 207, 368, 187, 178, 394, 321, 109]$ |
1.6.J.8.3c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(J(E_4))$ |
$8$ |
$0$ |
$3$ |
$24$ |
$340$ |
$6454$ |
$142674$ |
$142674$ |
$2$ |
$8$ |
$44$ |
$329$ |
$2962$ |
$29790$ |
$10$ |
$780$ |
$129960$ |
|
✓ |
$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 93, 108, 205, 368, 187, 174, 396, 315, 109]$ |
1.6.J.12.4d |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_1(J(E_6))$ |
$12$ |
$0$ |
$3$ |
$24$ |
$340$ |
$6440$ |
$140994$ |
$140994$ |
$2$ |
$8$ |
$44$ |
$328$ |
$2932$ |
$29110$ |
$10$ |
$774$ |
$124700$ |
|
✓ |
$[1, 3, 5, 5, 8, 25, 27, 32, 45, 23, 18, 92, 106, 195, 340, 161, 154, 336, 256, 85]$ |
1.6.J.12.5a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(E_6)$ |
$12$ |
$1/12$ |
$3$ |
$27$ |
$380$ |
$6895$ |
$146160$ |
$146160$ |
$2$ |
$9$ |
$51$ |
$369$ |
$3158$ |
$30343$ |
$12$ |
$852$ |
$127700$ |
|
✓ |
$[1, 3, 6, 5, 8, 28, 27, 32, 45, 22, 18, 95, 104, 195, 340, 159, 156, 334, 259, 83]$ |
1.6.K.4.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times C_{4,1}$ |
$4$ |
$0$ |
$3$ |
$38$ |
$745$ |
$17094$ |
$427014$ |
$427014$ |
$2$ |
$10$ |
$77$ |
$730$ |
$7637$ |
$84807$ |
$13$ |
$1862$ |
$386010$ |
|
✓ |
$[1, 3, 7, 6, 12, 60, 59, 78, 123, 45, 38, 276, 300, 652, 1192, 534, 555, 1233, 961, 247]$ |
1.6.K.4.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_2$ |
$4$ |
$0$ |
$3$ |
$38$ |
$745$ |
$17094$ |
$427014$ |
$427014$ |
$2$ |
$11$ |
$80$ |
$739$ |
$7662$ |
$84877$ |
$14$ |
$1868$ |
$386060$ |
|
✓ |
$[1, 3, 8, 7, 13, 60, 60, 82, 125, 50, 39, 277, 305, 653, 1192, 539, 561, 1243, 968, 257]$ |
1.6.K.4.2b |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times J(C_2)$ |
$4$ |
$0$ |
$3$ |
$38$ |
$745$ |
$17094$ |
$427014$ |
$427014$ |
$2$ |
$12$ |
$83$ |
$750$ |
$7697$ |
$84989$ |
$15$ |
$1878$ |
$386170$ |
|
✓ |
$[1, 3, 9, 8, 14, 60, 61, 88, 129, 57, 40, 280, 312, 654, 1192, 546, 577, 1265, 987, 279]$ |
1.6.K.4.2c |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_{2,1}$ |
$4$ |
$0$ |
$3$ |
$38$ |
$745$ |
$17094$ |
$427014$ |
$427014$ |
$3$ |
$14$ |
$90$ |
$770$ |
$7758$ |
$85171$ |
$15$ |
$1878$ |
$386170$ |
|
✓ |
$[1, 3, 9, 6, 14, 60, 59, 88, 123, 49, 40, 280, 302, 654, 1192, 536, 577, 1235, 969, 249]$ |
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.K.6.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times J(C_3)$ |
$6$ |
$0$ |
$3$ |
$32$ |
$555$ |
$11984$ |
$291144$ |
$291144$ |
$2$ |
$10$ |
$65$ |
$556$ |
$5477$ |
$58837$ |
$13$ |
$1370$ |
$263720$ |
|
✓ |
$[1, 3, 7, 6, 10, 44, 43, 58, 89, 37, 28, 188, 208, 440, 800, 364, 381, 845, 655, 185]$ |
1.6.K.6.2b |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times C_{6,1}$ |
$6$ |
$0$ |
$3$ |
$32$ |
$555$ |
$11984$ |
$291144$ |
$291144$ |
$2$ |
$10$ |
$67$ |
$564$ |
$5507$ |
$58937$ |
$13$ |
$1370$ |
$263720$ |
|
✓ |
$[1, 3, 7, 6, 10, 44, 43, 58, 85, 33, 28, 188, 204, 440, 800, 360, 381, 825, 643, 165]$ |
1.6.K.8.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times J(C_4)$ |
$8$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10934$ |
$251874$ |
$251874$ |
$2$ |
$10$ |
$65$ |
$538$ |
$5077$ |
$52257$ |
$13$ |
$1310$ |
$228720$ |
|
✓ |
$[1, 3, 7, 6, 10, 42, 41, 54, 79, 33, 24, 162, 176, 364, 652, 294, 309, 669, 517, 145]$ |
1.6.K.8.3b |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_4$ |
$8$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10934$ |
$251874$ |
$251874$ |
$2$ |
$10$ |
$65$ |
$537$ |
$5072$ |
$52236$ |
$13$ |
$1308$ |
$228690$ |
|
✓ |
$[1, 3, 7, 6, 10, 42, 41, 53, 78, 32, 24, 161, 175, 364, 652, 293, 304, 663, 511, 139]$ |
1.6.K.8.3c |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_{4,2}$ |
$8$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10934$ |
$251874$ |
$251874$ |
$3$ |
$13$ |
$75$ |
$568$ |
$5168$ |
$52530$ |
$14$ |
$1318$ |
$228800$ |
|
✓ |
$[1, 3, 8, 5, 11, 42, 40, 59, 76, 31, 25, 164, 172, 365, 652, 290, 320, 655, 512, 131]$ |
1.6.K.12.3a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times T$ |
$12$ |
$0$ |
$3$ |
$26$ |
$365$ |
$6874$ |
$155274$ |
$155274$ |
$2$ |
$9$ |
$52$ |
$381$ |
$3322$ |
$32895$ |
$12$ |
$872$ |
$141370$ |
|
✓ |
$[1, 3, 6, 5, 7, 28, 26, 34, 49, 20, 17, 99, 107, 227, 408, 185, 199, 425, 328, 91]$ |
1.6.K.12.4c |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_6$ |
$12$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10864$ |
$246204$ |
$246204$ |
$2$ |
$10$ |
$65$ |
$536$ |
$5037$ |
$51346$ |
$13$ |
$1306$ |
$223415$ |
|
✓ |
$[1, 3, 7, 6, 10, 42, 41, 52, 77, 31, 24, 158, 172, 346, 620, 274, 276, 600, 456, 122]$ |
1.6.K.12.4d |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times D_{6,2}$ |
$12$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10864$ |
$246204$ |
$246204$ |
$3$ |
$13$ |
$75$ |
$567$ |
$5133$ |
$51640$ |
$14$ |
$1316$ |
$223525$ |
|
✓ |
$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 292, 592, 457, 114]$ |
1.6.K.12.5a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times J(C_6)$ |
$12$ |
$0$ |
$3$ |
$32$ |
$535$ |
$10864$ |
$246204$ |
$246204$ |
$2$ |
$10$ |
$65$ |
$536$ |
$5037$ |
$51347$ |
$13$ |
$1306$ |
$223420$ |
|
✓ |
$[1, 3, 7, 6, 10, 42, 41, 52, 77, 31, 24, 158, 172, 346, 620, 274, 277, 601, 457, 123]$ |
1.6.K.24.12b |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times O$ |
$24$ |
$0$ |
$3$ |
$26$ |
$345$ |
$5824$ |
$116004$ |
$116004$ |
$2$ |
$9$ |
$51$ |
$358$ |
$2902$ |
$26245$ |
$12$ |
$810$ |
$106345$ |
|
✓ |
$[1, 3, 6, 5, 7, 26, 24, 29, 40, 17, 13, 72, 76, 151, 260, 116, 123, 254, 191, 56]$ |
1.6.L.4.1a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(C_{4,1},C_2)$ |
$4$ |
$1/2$ |
$3$ |
$51$ |
$1230$ |
$33635$ |
$978138$ |
$978138$ |
$2$ |
$12$ |
$113$ |
$1270$ |
$15337$ |
$192897$ |
$18$ |
$3570$ |
$966600$ |
|
✓ |
$[1, 3, 9, 9, 17, 104, 114, 162, 283, 119, 68, 610, 742, 1727, 3424, 1697, 1720, 4146, 3512, 1003]$ |
1.6.L.4.2a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_2,C_2)$ |
$4$ |
$1/2$ |
$3$ |
$51$ |
$1230$ |
$33635$ |
$978138$ |
$978138$ |
$2$ |
$13$ |
$116$ |
$1279$ |
$15362$ |
$192967$ |
$18$ |
$3570$ |
$966600$ |
|
✓ |
$[1, 3, 10, 9, 18, 104, 115, 166, 283, 122, 68, 611, 742, 1727, 3424, 1697, 1726, 4146, 3517, 1003]$ |
1.6.L.4.2b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(C_2),J(C_1))$ |
$4$ |
$1/2$ |
$3$ |
$51$ |
$1230$ |
$33635$ |
$978138$ |
$978138$ |
$2$ |
$14$ |
$119$ |
$1290$ |
$15397$ |
$193079$ |
$19$ |
$3585$ |
$966820$ |
|
✓ |
$[1, 3, 11, 12, 21, 104, 121, 181, 293, 151, 71, 614, 776, 1731, 3424, 1742, 1763, 4250, 3588, 1139]$ |