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.F.48.48a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$J(O)$ |
$48$ |
$11/16$ |
$1$ |
$6$ |
$50$ |
$525$ |
$6426$ |
$6426$ |
$1$ |
$3$ |
$7$ |
$26$ |
$96$ |
$432$ |
|
|
|
✓ |
✓ |
$[1, 1, 2, 3, 3, 5, 3, 9, 9, 11]$ |
1.6.K.48.48a |
$1$ |
$6$ |
$4$ |
$\mathrm{SU}(2)\times\mathrm{U}(1)_2$ |
$\mathrm{SU}(2)\times J(O)$ |
$48$ |
$0$ |
$2$ |
$14$ |
$175$ |
$2919$ |
$58023$ |
$58023$ |
$2$ |
$7$ |
$32$ |
$197$ |
$1502$ |
$13270$ |
$7$ |
$412$ |
$53240$ |
✓ |
✓ |
$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 38, 40, 77, 130, 60, 71, 131, 101, 32]$ |
1.6.L.48.48a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(O),J(T))$ |
$48$ |
$3/8$ |
$2$ |
$15$ |
$195$ |
$3780$ |
$93177$ |
$93177$ |
$2$ |
$7$ |
$32$ |
$209$ |
$1822$ |
$19275$ |
$7$ |
$471$ |
$89720$ |
|
✓ |
$[1, 2, 4, 3, 6, 14, 16, 25, 30, 20, 10, 60, 73, 153, 294, 156, 164, 365, 315, 107]$ |
1.6.L.48.48b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(O),O_1)$ |
$48$ |
$3/8$ |
$2$ |
$15$ |
$195$ |
$3780$ |
$93177$ |
$93177$ |
$2$ |
$7$ |
$32$ |
$209$ |
$1822$ |
$19275$ |
$7$ |
$474$ |
$89770$ |
|
✓ |
$[1, 2, 4, 3, 6, 14, 16, 23, 29, 17, 10, 60, 70, 153, 294, 152, 159, 355, 309, 94]$ |
1.6.L.48.48c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(O_1)$ |
$48$ |
$5/16$ |
$2$ |
$15$ |
$205$ |
$4025$ |
$97587$ |
$97587$ |
$2$ |
$7$ |
$33$ |
$217$ |
$1882$ |
$19720$ |
$7$ |
$474$ |
$90410$ |
|
✓ |
$[1, 2, 4, 3, 6, 15, 16, 25, 29, 17, 12, 65, 72, 154, 294, 153, 165, 357, 314, 95]$ |
1.6.L.48.48d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(O),O)$ |
$48$ |
$1/2$ |
$2$ |
$21$ |
$330$ |
$6440$ |
$145152$ |
$145152$ |
$2$ |
$8$ |
$44$ |
$329$ |
$2962$ |
$29980$ |
$8$ |
$759$ |
$131450$ |
|
✓ |
$[1, 2, 5, 4, 9, 25, 26, 37, 45, 25, 16, 94, 105, 207, 380, 187, 195, 420, 350, 112]$ |
1.6.L.48.48e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(J(O))$ |
$48$ |
$0$ |
$3$ |
$24$ |
$340$ |
$6475$ |
$145278$ |
$145278$ |
$2$ |
$8$ |
$44$ |
$329$ |
$2962$ |
$29980$ |
$10$ |
$780$ |
$131720$ |
|
✓ |
$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 94, 110, 210, 380, 194, 187, 432, 353, 128]$ |
1.6.L.48.48f |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(O)$ |
$48$ |
$3/16$ |
$3$ |
$27$ |
$380$ |
$6965$ |
$151578$ |
$151578$ |
$2$ |
$9$ |
$51$ |
$370$ |
$3192$ |
$31275$ |
$12$ |
$855$ |
$134650$ |
|
✓ |
$[1, 3, 6, 5, 8, 28, 27, 33, 46, 24, 18, 98, 107, 211, 380, 191, 185, 422, 352, 116]$ |
1.6.N.48.48a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(D(2,2))$ |
$48$ |
$2/3$ |
$1$ |
$12$ |
$310$ |
$9590$ |
$310086$ |
$310086$ |
$1$ |
$5$ |
$33$ |
$352$ |
$4486$ |
$60779$ |
$5$ |
$997$ |
$322160$ |
|
✓ |
$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$ |