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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
0.1.2 $0$ $1$ $0$ $\mathrm{SO}(1)$ $\mu(2)$ $2$ $0$ $1$ $1$
1.2.B.2.1a $1$ $2$ $1$ $\mathrm{U}(1)$ $N(\mathrm{U}(1))$ $2$ $1/2$ $1$ $3$
1.4.B.2.1a $1$ $4$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $N(\mathrm{SU}(2)\times\mathrm{SU}(2))$ $2$ $1/2$ $1$ $5$ $1$ $[1, 1, 2, 2, 2, 3, 2, 4, 3, 4]$
1.4.C.2.1a $1$ $4$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)$ $N(\mathrm{U}(1)\times\mathrm{SU}(2))$ $2$ $0$ $2$ $11$ $2$ $[1, 2, 2, 4, 5, 4, 6, 11, 11, 6]$
1.4.D.2.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{ab}$ $2$ $1/2$ $2$ $18$ $2$ $[1, 2, 3, 8, 12, 10, 14, 37, 40, 22]$
1.4.D.2.1b $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_a$ $2$ $0$ $3$ $21$ $2$ $[1, 3, 3, 7, 12, 9, 15, 37, 42, 21]$
1.4.E.2.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_2$ $2$ $1/2$ $2$ $16$ $1$ $[1, 2, 5, 6, 10, 14, 10, 29, 28, 30]$
1.4.E.2.1b $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_1)$ $2$ $1/2$ $2$ $16$ $2$ $[1, 2, 3, 6, 10, 8, 10, 25, 28, 16]$
1.4.F.2.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_1)$ $2$ $1/2$ $4$ $48$ $1$ $[1, 4, 10, 19, 40, 46, 52, 163, 184, 146]$
1.4.F.2.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_2$ $2$ $1/2$ $4$ $48$ $2$ $[1, 4, 7, 18, 40, 32, 52, 153, 184, 104]$
1.4.F.2.1c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{2,1}$ $2$ $1/2$ $4$ $48$ $3$ $[1, 4, 6, 19, 40, 30, 52, 151, 184, 98]$
1.6.B.2.1a $1$ $6$ $9$ $\mathrm{U}(3)$ $N(\mathrm{U}(3))$ $2$ $1/2$ $1$ $6$ $1$ $[1, 1, 2, 2, 3, 4, 5, 6, 6, 6, 3, 9, 11, 13, 20, 12, 11, 20, 16, 10]$
1.6.D.2.1a $1$ $6$ $11$ $\mathrm{U}(1)\times\mathrm{USp}(4)$ $N(\mathrm{U}(1)\times \mathrm{USp}(4))$ $2$ $0$ $2$ $12$ $2$ $[1, 2, 3, 2, 4, 7, 6, 7, 7, 4, 6, 15, 13, 18, 25, 13, 13, 18, 15, 6]$
1.6.E.2.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E_{t}$ $2$ $0$ $2$ $13$ $2$ $[1, 2, 4, 3, 4, 11, 11, 15, 16, 7, 6, 23, 25, 45, 70, 31, 40, 62, 41, 13]$
1.6.F.2.1a $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{at}$ $2$ $1/2$ $2$ $20$ $2$ $[1, 2, 5, 3, 6, 22, 20, 25, 33, 12, 10, 61, 62, 122, 210, 87, 91, 179, 130, 31]$
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.2.1b $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{a}\times \mathrm{SU}(2)$ $2$ $0$ $4$ $41$ $3$ $[1, 4, 9, 6, 11, 47, 42, 53, 76, 28, 26, 164, 170, 349, 620, 273, 278, 592, 456, 115]$
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.2.1b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{ab}$ $2$ $0$ $4$ $48$ $3$ $[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 861, 1980, 1614, 436]$
1.6.H.2.1c $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a}$ $2$ $0$ $5$ $63$ $3$ $[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 854, 1986, 1631, 441]$
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.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.2.1b $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(E_2)$ $2$ $0$ $4$ $46$ $2$ $[1, 4, 10, 12, 15, 70, 80, 102, 160, 82, 40, 287, 368, 732, 1376, 680, 649, 1520, 1188, 396]$
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.2.1d $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_1))$ $2$ $0$ $4$ $46$ $3$ $[1, 4, 10, 8, 13, 70, 72, 96, 152, 58, 36, 287, 332, 728, 1376, 636, 639, 1444, 1148, 300]$
1.6.J.2.1e $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_1)$ $2$ $0$ $5$ $59$ $4$ $[1, 5, 14, 9, 16, 80, 75, 106, 153, 58, 42, 303, 336, 735, 1376, 641, 664, 1448, 1169, 305]$
1.6.K.2.1a $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times J(C_1)$ $2$ $0$ $5$ $74$ $2$ $[1, 5, 15, 14, 24, 120, 119, 162, 255, 105, 76, 554, 616, 1304, 2384, 1084, 1125, 2517, 1957, 545]$
1.6.K.2.1b $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times C_2$ $2$ $0$ $5$ $74$ $3$ $[1, 5, 14, 11, 23, 120, 116, 156, 245, 90, 75, 551, 599, 1303, 2384, 1067, 1109, 2465, 1920, 493]$
1.6.K.2.1c $1$ $6$ $4$ $\mathrm{SU}(2)\times\mathrm{U}(1)_2$ $\mathrm{SU}(2)\times C_{2,1}$ $2$ $0$ $5$ $74$ $4$ $[1, 5, 15, 10, 24, 120, 115, 162, 243, 89, 76, 554, 596, 1304, 2384, 1064, 1125, 2457, 1921, 485]$
1.6.L.2.1a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_1),C_1)$ $2$ $1/2$ $5$ $99$ $2$ $[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3434, 8250, 7018, 1953]$
1.6.L.2.1b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_1))$ $2$ $0$ $6$ $102$ $2$ $[1, 6, 19, 24, 36, 208, 239, 340, 586, 291, 142, 1222, 1552, 3462, 6848, 3484, 3479, 8500, 7153, 2278]$
1.6.L.2.1c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_2,C_1)$ $2$ $1/2$ $5$ $99$ $3$ $[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(C_2)$ $2$ $0$ $6$ $102$ $3$ $[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6848, 3394, 3439, 8292, 7024, 2006]$
1.6.L.2.1e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_{2,1},C_1)$ $2$ $1/2$ $5$ $99$ $4$ $[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3470, 8250, 7018, 1953]$
1.6.L.2.1f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(C_{2,1})$ $2$ $0$ $6$ $102$ $4$ $[1, 6, 19, 16, 32, 208, 223, 324, 562, 227, 134, 1222, 1464, 3454, 6848, 3372, 3443, 8252, 7009, 1958]$
1.6.L.2.1g $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(C_1)$ $2$ $0$ $9$ $147$ $5$ $[1, 9, 26, 19, 44, 248, 239, 338, 565, 226, 164, 1315, 1494, 3493, 6848, 3411, 3448, 8282, 7125, 1997]$
1.6.M.2.1a $1$ $6$ $3$ $\mathrm{SU}(2)_{3}$ $M(C_2)$ $2$ $0$ $5$ $82$ $4$ $[1, 5, 18, 14, 25, 160, 170, 250, 406, 156, 84, 771, 924, 2165, 4224, 2019, 2107, 4848, 3968, 1061]$
1.6.N.2.1a $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $A(1,2)$ $2$ $0$ $10$ $246$ $5$ $[1, 10, 42, 42, 81, 640, 738, 1138, 2106, 908, 432, 4515, 5744, 14286, 29568, 15406, 15779, 39280, 34912, 10350]$
1.6.N.2.1b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $J(A(1,1))$ $2$ $1/2$ $9$ $243$ $6$ $[1, 9, 43, 37, 81, 640, 727, 1143, 2097, 878, 424, 4518, 5688, 14275, 29568, 15327, 15798, 39160, 34866, 10175]$
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