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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.C.1.1a $1$ $4$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)$ $\mathrm{U}(1)\times\mathrm{SU}(2)$ $1$ $0$ $3$ $20$ $2$ $[1, 3, 3, 6, 10, 6, 10, 21, 21, 10]$
1.4.D.2.1b $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_a$ $2$ $0$ $3$ $21$ $2$ $[1, 3, 3, 7, 12, 9, 15, 37, 42, 21]$
1.6.D.1.1a $1$ $6$ $11$ $\mathrm{U}(1)\times\mathrm{USp}(4)$ $\mathrm{U}(1)\times \mathrm{USp}(4)$ $1$ $0$ $3$ $21$ $2$ $[1, 3, 4, 3, 6, 13, 11, 10, 13, 6, 10, 27, 24, 34, 50, 24, 20, 34, 27, 10]$
1.6.E.1.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E$ $1$ $0$ $3$ $24$ $3$ $[1, 3, 7, 4, 6, 22, 19, 27, 30, 10, 10, 45, 45, 88, 140, 57, 77, 118, 78, 20]$
1.6.F.2.1b $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{t}$ $2$ $0$ $3$ $23$ $2$ $[1, 3, 5, 5, 7, 22, 24, 26, 35, 17, 13, 61, 73, 125, 210, 99, 92, 191, 135, 45]$
1.6.F.2.1c $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{a}$ $2$ $0$ $3$ $25$ $3$ $[1, 3, 7, 4, 7, 24, 21, 30, 34, 13, 13, 65, 65, 125, 210, 90, 104, 182, 135, 34]$
1.6.G.2.1a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{ab}\times \mathrm{SU}(2)$ $2$ $0$ $3$ $32$ $3$ $[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 291, 591, 456, 113]$
1.6.G.4.2a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{a,b}\times \mathrm{SU}(2)$ $4$ $0$ $3$ $26$ $3$ $[1, 3, 7, 4, 8, 26, 23, 34, 39, 17, 16, 88, 88, 178, 310, 140, 155, 299, 237, 61]$
1.6.H.2.1a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{abc}$ $2$ $1/2$ $3$ $45$ $3$ $[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 888, 1978, 1623, 431]$
1.6.H.4.1b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{at}$ $4$ $0$ $3$ $27$ $2$ $[1, 3, 5, 5, 9, 38, 42, 54, 87, 35, 26, 188, 216, 475, 900, 425, 432, 992, 810, 219]$
1.6.H.4.2a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{ab,bc}$ $4$ $0$ $3$ $27$ $3$ $[1, 3, 7, 5, 9, 38, 40, 60, 87, 39, 26, 192, 216, 479, 900, 429, 444, 992, 816, 223]$
1.6.H.4.2b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a,bc}$ $4$ $1/4$ $3$ $33$ $3$ $[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 454, 994, 829, 223]$
1.6.H.8.5a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a,b,c}$ $8$ $1/8$ $3$ $27$ $3$ $[1, 3, 7, 4, 9, 28, 25, 39, 45, 23, 19, 114, 114, 247, 450, 222, 237, 502, 432, 119]$
1.6.I.2.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_2$ $2$ $0$ $3$ $30$ $2$ $[1, 3, 8, 7, 9, 38, 38, 52, 71, 30, 19, 119, 135, 269, 470, 209, 231, 463, 334, 97]$
1.6.I.2.1b $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_1)$ $2$ $0$ $3$ $30$ $3$ $[1, 3, 8, 5, 9, 38, 36, 52, 67, 24, 19, 119, 127, 269, 470, 201, 231, 445, 324, 79]$
1.6.I.3.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_3$ $3$ $0$ $3$ $26$ $2$ $[1, 3, 6, 5, 7, 28, 26, 34, 47, 18, 15, 81, 87, 181, 318, 137, 153, 299, 218, 57]$
1.6.I.4.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_4$ $4$ $0$ $3$ $26$ $2$ $[1, 3, 6, 5, 7, 26, 24, 30, 41, 18, 13, 71, 75, 147, 250, 113, 121, 239, 176, 53]$
1.6.I.6.2a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_6$ $6$ $0$ $3$ $26$ $2$ $[1, 3, 6, 5, 7, 26, 24, 28, 39, 16, 13, 69, 73, 135, 230, 99, 101, 201, 146, 43]$
1.6.J.2.1a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(E_2,E_1)$ $2$ $1/2$ $3$ $43$ $2$ $[1, 3, 10, 7, 12, 70, 71, 94, 151, 58, 34, 287, 328, 725, 1376, 631, 636, 1440, 1149, 295]$
1.6.J.2.1c $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(J(E_1),E_1)$ $2$ $1/2$ $3$ $43$ $3$ $[1, 3, 10, 7, 14, 70, 71, 100, 151, 58, 34, 287, 328, 725, 1376, 631, 646, 1440, 1149, 295]$
1.6.J.4.1a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(E_4,E_2)$ $4$ $0$ $3$ $27$ $2$ $[1, 3, 6, 7, 8, 36, 41, 52, 81, 44, 20, 145, 184, 371, 688, 345, 326, 760, 599, 203]$
1.6.J.4.2c $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_2))$ $4$ $0$ $3$ $26$ $2$ $[1, 3, 6, 7, 9, 35, 42, 54, 81, 44, 22, 145, 188, 369, 688, 345, 329, 764, 598, 203]$
1.6.J.4.2d $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_2)$ $4$ $1/4$ $3$ $31$ $2$ $[1, 3, 8, 7, 10, 40, 43, 58, 81, 44, 24, 153, 188, 371, 688, 345, 340, 764, 609, 203]$
1.6.J.4.2e $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(J(E_1))$ $4$ $1/4$ $3$ $31$ $3$ $[1, 3, 8, 5, 10, 40, 39, 58, 77, 32, 22, 153, 170, 369, 688, 323, 340, 726, 589, 155]$
1.6.J.6.1b $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_3))$ $6$ $0$ $3$ $24$ $2$ $[1, 3, 5, 5, 8, 26, 29, 36, 55, 25, 19, 102, 121, 248, 466, 224, 220, 489, 394, 110]$
1.6.J.6.2a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(E_6,E_3)$ $6$ $1/6$ $3$ $27$ $2$ $[1, 3, 6, 5, 8, 28, 29, 34, 55, 24, 18, 103, 118, 247, 466, 221, 218, 486, 395, 107]$
1.6.J.6.2b $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_3)$ $6$ $0$ $3$ $27$ $2$ $[1, 3, 6, 5, 8, 30, 29, 38, 55, 24, 20, 107, 120, 249, 466, 223, 226, 488, 399, 109]$
1.6.J.8.2a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_4)$ $8$ $1/8$ $3$ $27$ $2$ $[1, 3, 6, 5, 8, 28, 27, 34, 47, 26, 18, 97, 106, 207, 368, 187, 178, 394, 321, 109]$
1.6.J.8.3c $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_4))$ $8$ $0$ $3$ $24$ $2$ $[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 93, 108, 205, 368, 187, 174, 396, 315, 109]$
1.6.J.12.4d $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_6))$ $12$ $0$ $3$ $24$ $2$ $[1, 3, 5, 5, 8, 25, 27, 32, 45, 23, 18, 92, 106, 195, 340, 161, 154, 336, 256, 85]$
1.6.J.12.5a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_6)$ $12$ $1/12$ $3$ $27$ $2$ $[1, 3, 6, 5, 8, 28, 27, 32, 45, 22, 18, 95, 104, 195, 340, 159, 156, 334, 259, 83]$
1.6.K.4.1a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times C_{4,1}$ $4$ $0$ $3$ $38$ $2$ $[1, 3, 7, 6, 12, 60, 59, 78, 123, 45, 38, 276, 300, 652, 1192, 534, 555, 1233, 961, 247]$
1.6.K.4.2a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_2$ $4$ $0$ $3$ $38$ $2$ $[1, 3, 8, 7, 13, 60, 60, 82, 125, 50, 39, 277, 305, 653, 1192, 539, 561, 1243, 968, 257]$
1.6.K.4.2b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times J(C_2)$ $4$ $0$ $3$ $38$ $2$ $[1, 3, 9, 8, 14, 60, 61, 88, 129, 57, 40, 280, 312, 654, 1192, 546, 577, 1265, 987, 279]$
1.6.K.4.2c $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_{2,1}$ $4$ $0$ $3$ $38$ $3$ $[1, 3, 9, 6, 14, 60, 59, 88, 123, 49, 40, 280, 302, 654, 1192, 536, 577, 1235, 969, 249]$
1.6.K.6.1a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_3$ $6$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 44, 43, 58, 87, 35, 28, 188, 206, 440, 800, 362, 380, 834, 648, 174]$
1.6.K.6.1b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_{3,2}$ $6$ $0$ $3$ $32$ $3$ $[1, 3, 8, 5, 11, 44, 42, 64, 85, 34, 29, 191, 203, 441, 800, 359, 396, 826, 649, 166]$
1.6.K.6.2a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times J(C_3)$ $6$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 44, 43, 58, 89, 37, 28, 188, 208, 440, 800, 364, 381, 845, 655, 185]$
1.6.K.6.2b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times C_{6,1}$ $6$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 44, 43, 58, 85, 33, 28, 188, 204, 440, 800, 360, 381, 825, 643, 165]$
1.6.K.8.2a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times J(C_4)$ $8$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 42, 41, 54, 79, 33, 24, 162, 176, 364, 652, 294, 309, 669, 517, 145]$
1.6.K.8.3b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_4$ $8$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 42, 41, 53, 78, 32, 24, 161, 175, 364, 652, 293, 304, 663, 511, 139]$
1.6.K.8.3c $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_{4,2}$ $8$ $0$ $3$ $32$ $3$ $[1, 3, 8, 5, 11, 42, 40, 59, 76, 31, 25, 164, 172, 365, 652, 290, 320, 655, 512, 131]$
1.6.K.12.3a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times T$ $12$ $0$ $3$ $26$ $2$ $[1, 3, 6, 5, 7, 28, 26, 34, 49, 20, 17, 99, 107, 227, 408, 185, 199, 425, 328, 91]$
1.6.K.12.4c $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_6$ $12$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 42, 41, 52, 77, 31, 24, 158, 172, 346, 620, 274, 276, 600, 456, 122]$
1.6.K.12.4d $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times D_{6,2}$ $12$ $0$ $3$ $32$ $3$ $[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 292, 592, 457, 114]$
1.6.K.12.5a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times J(C_6)$ $12$ $0$ $3$ $32$ $2$ $[1, 3, 7, 6, 10, 42, 41, 52, 77, 31, 24, 158, 172, 346, 620, 274, 277, 601, 457, 123]$
1.6.K.24.12b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times O$ $24$ $0$ $3$ $26$ $2$ $[1, 3, 6, 5, 7, 26, 24, 29, 40, 17, 13, 72, 76, 151, 260, 116, 123, 254, 191, 56]$
1.6.L.4.1a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_{4,1},C_2)$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 9, 9, 17, 104, 114, 162, 283, 119, 68, 610, 742, 1727, 3424, 1697, 1720, 4146, 3512, 1003]$
1.6.L.4.2a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_2,C_2)$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 10, 9, 18, 104, 115, 166, 283, 122, 68, 611, 742, 1727, 3424, 1697, 1726, 4146, 3517, 1003]$
1.6.L.4.2b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_2),J(C_1))$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 11, 12, 21, 104, 121, 181, 293, 151, 71, 614, 776, 1731, 3424, 1742, 1763, 4250, 3588, 1139]$
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