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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
1.6.L.4.1b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(C_{4,1})$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 9, 10, 18, 104, 117, 162, 284, 119, 70, 610, 744, 1728, 3424, 1698, 1721, 4148, 3515, 1004]$
1.6.L.4.2e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_2)$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3424, 1724, 1729, 4188, 3536, 1056]$
1.6.L.4.2f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_2))$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 11, 14, 20, 104, 123, 176, 296, 155, 74, 614, 788, 1736, 3424, 1758, 1751, 4272, 3593, 1168]$
1.6.L.4.2j $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_{2,1})$ $4$ $0$ $4$ $54$ $3$ $[1, 4, 11, 10, 18, 104, 115, 168, 284, 123, 70, 614, 744, 1732, 3424, 1702, 1733, 4148, 3521, 1008]$
1.6.M.3.1a $1$ $6$ $3$ $\mathrm{SU}(2)_{3}$ $M(C_3)$ $3$ $2/3$ $3$ $54$ $2$ $[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$
1.6.N.9.2a $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $C(3,1)$ $9$ $8/9$ $2$ $54$ $1$ $[1, 2, 10, 10, 17, 144, 162, 250, 466, 196, 96, 1003, 1264, 3174, 6576, 3406, 3507, 8704, 7744, 2270]$
1.6.N.16.6c $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(2,4;4)$ $16$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 120, 172, 300, 142, 72, 631, 800, 1888, 3832, 2008, 2033, 5048, 4452, 1368]$
1.6.N.16.13c $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(2,4)$ $16$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 122, 174, 300, 152, 72, 631, 812, 1892, 3832, 2036, 2037, 5084, 4472, 1440]$
1.6.N.24.3b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(T,1)$ $24$ $1/3$ $4$ $54$ $2$ $[1, 4, 10, 8, 15, 84, 84, 114, 200, 84, 48, 425, 516, 1236, 2532, 1312, 1325, 3296, 2938, 876]$
1.6.N.24.10c $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(1,12)$ $24$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1728, 1737, 4216, 3578, 1088]$
1.6.N.24.11b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(1,12;2)$ $24$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1724, 1737, 4212, 3578, 1072]$
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