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| Label | Wt | Deg | $\mathrm{dim}_{\mathbb{R}}$ | $\mathrm{G}^0$ | Name | $\mathrm{G}/\mathrm{G}^0$ | $\#\mathrm{G}/\mathrm{G^0}$ | $\mathrm{P}[t\!=\!0]$ | Trace moments | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1.4.1.1.1a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_1$ | $C_1$ | 1 | 0 | 1 | 0 | 8 | 0 | 96 | 0 | 1280 | 0 | 17920 | ||
| 1.4.1.2.1a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_2$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.3.1a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_3$ | $C_3$ | 3 | 0 | 1 | 0 | 4 | 0 | 36 | 0 | 440 | 0 | 6020 | ||
| 1.4.1.4.1a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_4$ | $C_4$ | 4 | 1/4 | 1 | 0 | 4 | 0 | 36 | 0 | 400 | 0 | 5040 | ||
| 1.4.1.6.2a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_6$ | $C_6$ | 6 | 1/6 | 1 | 0 | 4 | 0 | 36 | 0 | 400 | 0 | 4900 | ||
| 1.4.1.2.1c | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_{2,1}$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.4.1b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_{4,1}$ | $C_4$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.2c | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $C_{6,1}$ | $C_6$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.4.2a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_2$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.1a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_3$ | $S_3$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.3a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_4$ | $D_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.4a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_6$ | $D_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.4.2c | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{2,1}$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.1b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{3,2}$ | $S_3$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.3b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{4,1}$ | $D_4$ | 8 | 7/8 | 1 | 0 | 1 | 0 | 12 | 0 | 160 | 0 | 2240 | ||
| 1.4.1.8.3c | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{4,2}$ | $D_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.4c | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{6,1}$ | $D_6$ | 12 | 3/4 | 1 | 0 | 1 | 0 | 9 | 0 | 110 | 0 | 1505 | ||
| 1.4.1.12.4d | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $D_{6,2}$ | $D_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.2.1b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(C_1)$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.4.2b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(C_2)$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.2b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(C_3)$ | $C_6$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.2a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(C_4)$ | $C_2\times C_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.5a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(C_6)$ | $C_2\times C_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.8.5a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(D_2)$ | $C_2^3$ | 8 | 7/8 | 1 | 0 | 1 | 0 | 12 | 0 | 160 | 0 | 2240 | ||
| 1.4.1.12.4b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(D_3)$ | $D_6$ | 12 | 3/4 | 1 | 0 | 1 | 0 | 9 | 0 | 110 | 0 | 1505 | ||
| 1.4.1.16.11a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(D_4)$ | $C_2\times D_4$ | 16 | 13/16 | 1 | 0 | 1 | 0 | 9 | 0 | 100 | 0 | 1260 | ||
| 1.4.1.24.14a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(D_6)$ | $C_2^2\times S_3$ | 24 | 19/24 | 1 | 0 | 1 | 0 | 9 | 0 | 100 | 0 | 1225 | ||
| 1.4.1.48.48a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(O)$ | $C_2\times S_4$ | 48 | 11/16 | 1 | 0 | 1 | 0 | 6 | 0 | 50 | 0 | 525 | ||
| 1.4.1.24.13a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $J(T)$ | $C_2\times A_4$ | 24 | 5/8 | 1 | 0 | 1 | 0 | 6 | 0 | 60 | 0 | 770 | ||
| 1.4.1.24.12a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $O$ | $S_4$ | 24 | 3/8 | 1 | 0 | 2 | 0 | 12 | 0 | 100 | 0 | 1050 | ||
| 1.4.1.24.12b | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $O_1$ | $S_4$ | 24 | 5/8 | 1 | 0 | 1 | 0 | 6 | 0 | 60 | 0 | 770 | ||
| 1.4.1.12.3a | 1 | 4 | 1 | $\mathrm{U}(1)_{2}$ | $T$ | $A_4$ | 12 | 1/4 | 1 | 0 | 2 | 0 | 12 | 0 | 120 | 0 | 1540 | ||
| 1.4.2.1.1a | 1 | 4 | 2 | $\mathrm{U}(1)\times\mathrm{U}(1)$ | $F$ | $C_1$ | 1 | 0 | 1 | 0 | 4 | 0 | 36 | 0 | 400 | 0 | 4900 | ||
| 1.4.2.2.1a | 1 | 4 | 2 | $\mathrm{U}(1)\times\mathrm{U}(1)$ | $F_a$ | $C_2$ | 2 | 0 | 1 | 0 | 3 | 0 | 21 | 0 | 210 | 0 | 2485 | ||
| 1.4.2.4.2a | 1 | 4 | 2 | $\mathrm{U}(1)\times\mathrm{U}(1)$ | $F_{a,b}$ | $C_2^2$ | 4 | 1/4 | 1 | 0 | 2 | 0 | 12 | 0 | 110 | 0 | 1260 | ||
| 1.4.2.2.1b | 1 | 4 | 2 | $\mathrm{U}(1)\times\mathrm{U}(1)$ | $F_{ab}$ | $C_2$ | 2 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.2.4.1a | 1 | 4 | 2 | $\mathrm{U}(1)\times\mathrm{U}(1)$ | $F_{ac}$ | $C_4$ | 4 | 3/4 | 1 | 0 | 1 | 0 | 9 | 0 | 100 | 0 | 1225 | ||
| 1.4.3.1.1a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $E_1$ | $C_1$ | 1 | 0 | 1 | 0 | 4 | 0 | 32 | 0 | 320 | 0 | 3584 | ||
| 1.4.3.2.1a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $E_2$ | $C_2$ | 2 | 1/2 | 1 | 0 | 2 | 0 | 16 | 0 | 160 | 0 | 1792 | ||
| 1.4.3.3.1a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $E_3$ | $C_3$ | 3 | 0 | 1 | 0 | 2 | 0 | 12 | 0 | 110 | 0 | 1204 | ||
| 1.4.3.4.1a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $E_4$ | $C_4$ | 4 | 1/4 | 1 | 0 | 2 | 0 | 12 | 0 | 100 | 0 | 1008 | ||
| 1.4.3.6.2a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $E_6$ | $C_6$ | 6 | 1/6 | 1 | 0 | 2 | 0 | 12 | 0 | 100 | 0 | 980 | ||
| 1.4.3.2.1b | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $J(E_1)$ | $C_2$ | 2 | 1/2 | 1 | 0 | 2 | 0 | 16 | 0 | 160 | 0 | 1792 | ||
| 1.4.3.4.2a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $J(E_2)$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 1 | 0 | 8 | 0 | 80 | 0 | 896 | ||
| 1.4.3.6.1a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $J(E_3)$ | $S_3$ | 6 | 1/2 | 1 | 0 | 1 | 0 | 6 | 0 | 55 | 0 | 602 | ||
| 1.4.3.8.3a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $J(E_4)$ | $D_4$ | 8 | 5/8 | 1 | 0 | 1 | 0 | 6 | 0 | 50 | 0 | 504 | ||
| 1.4.3.12.4a | 1 | 4 | 3 | $\mathrm{SU}(2)_{2}$ | $J(E_6)$ | $D_6$ | 12 | 7/12 | 1 | 0 | 1 | 0 | 6 | 0 | 50 | 0 | 490 | ||
| 1.4.4.1.1a | 1 | 4 | 4 | $\mathrm{U}(1)\times\mathrm{SU}(2)$ | $G_{1,3}$ | $C_1$ | 1 | 0 | 1 | 0 | 3 | 0 | 20 | 0 | 175 | 0 | 1764 | ||
| 1.4.4.2.1a | 1 | 4 | 4 | $\mathrm{U}(1)\times\mathrm{SU}(2)$ | $N(G_{1,3})$ | $C_2$ | 2 | 0 | 1 | 0 | 2 | 0 | 11 | 0 | 90 | 0 | 889 | ||
| 1.4.6.1.1a | 1 | 4 | 6 | $\mathrm{SU}(2)\times\mathrm{SU}(2)$ | $G_{3,3}$ | $C_1$ | 1 | 0 | 1 | 0 | 2 | 0 | 10 | 0 | 70 | 0 | 588 | ||
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