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Label Wt Deg $\mathrm{dim}_{\mathbb{R}}$ $\mathrm{G}^0$ Name $\mathrm{G}/\mathrm{G}^0$ $\mathrm{Pr}[t\!=\!0]$ $\mathrm{E}[a_1^2]$ $\mathrm{E}[a_1^4]$ $\mathrm{E}[a_2]$ Diagonal
1.4.F.24.12b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $O$ $24$ $3/8$ $2$ $12$ $1$ $[1, 2, 3, 4, 6, 7, 6, 16, 18, 16]$
1.6.H.8.2a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{c,at}$ $8$ $3/8$ $2$ $18$ $2$ $[1, 2, 4, 3, 7, 22, 23, 33, 44, 20, 15, 101, 110, 240, 450, 215, 228, 498, 416, 112]$
1.6.J.8.5a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(J(E_2))$ $8$ $3/8$ $2$ $17$ $2$ $[1, 2, 5, 4, 7, 20, 23, 34, 41, 25, 13, 78, 96, 187, 344, 175, 178, 384, 309, 104]$
1.6.L.8.2c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(C_{4,1})$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 7, 6, 13, 62, 63, 87, 143, 61, 43, 330, 380, 875, 1712, 860, 867, 2082, 1790, 513]$
1.6.L.8.5e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(D_2)$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 8, 7, 14, 62, 65, 92, 145, 70, 44, 331, 390, 877, 1712, 873, 874, 2102, 1803, 539]$
1.6.L.8.5f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(J(C_2))$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 9, 8, 15, 62, 67, 99, 149, 83, 45, 334, 402, 879, 1712, 890, 893, 2144, 1838, 595]$
1.6.L.8.5g $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(D_{2,1})$ $8$ $3/8$ $3$ $39$ $3$ $[1, 3, 9, 6, 15, 62, 63, 99, 143, 67, 43, 334, 380, 877, 1712, 862, 893, 2082, 1802, 515]$
1.6.L.16.11a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_4),D_{4,1})$ $16$ $3/8$ $2$ $18$ $2$ $[1, 2, 5, 4, 8, 27, 33, 52, 73, 40, 19, 157, 192, 436, 856, 434, 454, 1048, 899, 267]$
1.6.L.16.11b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_4),J(D_2))$ $16$ $3/8$ $2$ $18$ $2$ $[1, 2, 5, 5, 8, 27, 34, 53, 76, 47, 20, 157, 203, 438, 856, 449, 456, 1079, 914, 308]$
1.6.L.24.14c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(J(D_3))$ $24$ $3/8$ $2$ $18$ $2$ $[1, 2, 5, 4, 8, 23, 26, 41, 53, 34, 18, 117, 141, 298, 575, 305, 312, 725, 625, 210]$
1.6.L.24.14d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(D_{6,1})$ $24$ $3/8$ $2$ $18$ $2$ $[1, 2, 5, 4, 8, 23, 26, 41, 51, 30, 18, 117, 137, 298, 575, 299, 312, 705, 613, 184]$
1.6.L.48.48a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(O),J(T))$ $48$ $3/8$ $2$ $15$ $2$ $[1, 2, 4, 3, 6, 14, 16, 25, 30, 20, 10, 60, 73, 153, 294, 156, 164, 365, 315, 107]$
1.6.L.48.48b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(O),O_1)$ $48$ $3/8$ $2$ $15$ $2$ $[1, 2, 4, 3, 6, 14, 16, 23, 29, 17, 10, 60, 70, 153, 294, 152, 159, 355, 309, 94]$
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