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 |
1.6.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 |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times O$ |
$24$ |
$0$ |
$3$ |
$26$ |
$345$ |
$5824$ |
$116004$ |
$116004$ |
$2$ |
$9$ |
$51$ |
$358$ |
$2902$ |
$26245$ |
$12$ |
$810$ |
$106345$ |
|
✓ |
$[1, 3, 6, 5, 7, 26, 24, 29, 40, 17, 13, 72, 76, 151, 260, 116, 123, 254, 191, 56]$ |