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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
0.1.1 $0$ $1$ $0$ $\mathrm{SO}(1)$ $\mu(1)$ $1$ $0$ $1$ $1$
0.1.2 $0$ $1$ $0$ $\mathrm{SO}(1)$ $\mu(2)$ $2$ $0$ $1$ $1$
1.2.A.1.1a $1$ $2$ $3$ $\mathrm{SU}(2)$ $\mathrm{SU}(2)$ $1$ $0$ $1$ $2$
1.2.B.1.1a $1$ $2$ $1$ $\mathrm{U}(1)$ $\mathrm{U}(1)$ $1$ $0$ $2$ $6$
1.2.B.2.1a $1$ $2$ $1$ $\mathrm{U}(1)$ $N(\mathrm{U}(1))$ $2$ $1/2$ $1$ $3$
1.4.A.1.1a $1$ $4$ $10$ $\mathrm{USp}(4)$ $\mathrm{USp}(4)$ $1$ $0$ $1$ $3$ $1$ $[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]$
1.4.B.1.1a $1$ $4$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $1$ $0$ $2$ $10$ $2$ $[1, 2, 2, 3, 4, 3, 4, 6, 6, 4]$
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.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.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.1.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F$ $1$ $0$ $4$ $36$ $2$ $[1, 4, 5, 12, 24, 16, 28, 73, 80, 40]$
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.D.4.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{ac}$ $4$ $3/4$ $1$ $9$ $1$ $[1, 1, 2, 4, 6, 5, 7, 19, 20, 11]$
1.4.D.4.2a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{a,b}$ $4$ $1/4$ $2$ $12$ $2$ $[1, 2, 2, 5, 6, 6, 8, 19, 22, 12]$
1.4.E.1.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_1$ $1$ $0$ $4$ $32$ $3$ $[1, 4, 5, 10, 20, 14, 20, 49, 56, 30]$
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.E.3.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_3$ $3$ $0$ $2$ $12$ $1$ $[1, 2, 3, 4, 8, 6, 8, 17, 20, 12]$
1.4.E.4.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_4$ $4$ $1/4$ $2$ $12$ $1$ $[1, 2, 3, 4, 6, 8, 6, 15, 16, 16]$
1.4.E.4.2a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_2)$ $4$ $3/4$ $1$ $8$ $1$ $[1, 1, 3, 4, 5, 8, 5, 15, 14, 16]$
1.4.E.6.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_3)$ $6$ $1/2$ $1$ $6$ $1$ $[1, 1, 2, 3, 4, 4, 4, 9, 10, 7]$
1.4.E.6.2a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_6$ $6$ $1/6$ $2$ $12$ $1$ $[1, 2, 3, 4, 6, 6, 6, 13, 12, 12]$
1.4.E.8.3a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_4)$ $8$ $5/8$ $1$ $6$ $1$ $[1, 1, 2, 3, 3, 5, 3, 8, 8, 9]$
1.4.E.12.4a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_6)$ $12$ $7/12$ $1$ $6$ $1$ $[1, 1, 2, 3, 3, 4, 3, 7, 6, 7]$
1.4.F.1.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_1$ $1$ $0$ $8$ $96$ $4$ $[1, 8, 11, 34, 80, 56, 104, 301, 368, 192]$
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 $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{2,1}$ $2$ $1/2$ $4$ $48$ $3$ $[1, 4, 6, 19, 40, 30, 52, 151, 184, 98]$
1.4.F.3.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_3$ $3$ $0$ $4$ $36$ $2$ $[1, 4, 5, 12, 28, 20, 36, 101, 124, 66]$
1.4.F.4.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{4,1}$ $4$ $3/4$ $2$ $24$ $1$ $[1, 2, 4, 9, 20, 16, 26, 77, 92, 52]$
1.4.F.4.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_4$ $4$ $1/4$ $4$ $36$ $2$ $[1, 4, 5, 12, 24, 18, 28, 79, 96, 54]$
1.4.F.4.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_2$ $4$ $3/4$ $2$ $24$ $1$ $[1, 2, 5, 10, 20, 20, 26, 79, 92, 60]$
1.4.F.4.2b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_2)$ $4$ $3/4$ $2$ $24$ $1$ $[1, 2, 6, 11, 20, 26, 26, 83, 92, 78]$
1.4.F.4.2c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{2,1}$ $4$ $3/4$ $2$ $24$ $2$ $[1, 2, 4, 11, 20, 18, 26, 77, 92, 54]$
1.4.F.6.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_3$ $6$ $1/2$ $2$ $18$ $1$ $[1, 2, 4, 7, 14, 14, 18, 53, 62, 41]$
1.4.F.6.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{3,2}$ $6$ $1/2$ $2$ $18$ $2$ $[1, 2, 3, 8, 14, 12, 18, 51, 62, 35]$
1.4.F.6.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_3)$ $6$ $1/2$ $2$ $18$ $1$ $[1, 2, 4, 7, 14, 16, 18, 55, 62, 50]$
1.4.F.6.2b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{6,1}$ $6$ $1/2$ $2$ $18$ $1$ $[1, 2, 4, 7, 14, 12, 18, 51, 62, 34]$
1.4.F.6.2c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_6$ $6$ $1/6$ $4$ $36$ $2$ $[1, 4, 5, 12, 24, 16, 28, 73, 80, 42]$
1.4.F.8.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_4)$ $8$ $5/8$ $2$ $18$ $1$ $[1, 2, 4, 7, 12, 14, 14, 43, 48, 40]$
1.4.F.8.3a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{4,1}$ $8$ $7/8$ $1$ $12$ $1$ $[1, 1, 3, 6, 10, 11, 13, 40, 46, 31]$
1.4.F.8.3b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_4$ $8$ $5/8$ $2$ $18$ $1$ $[1, 2, 4, 7, 12, 13, 14, 42, 48, 35]$
1.4.F.8.3c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{4,2}$ $8$ $5/8$ $2$ $18$ $2$ $[1, 2, 3, 8, 12, 11, 14, 40, 48, 29]$
1.4.F.8.5a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(D_2)$ $8$ $7/8$ $1$ $12$ $1$ $[1, 1, 4, 7, 10, 16, 13, 43, 46, 44]$
1.4.F.12.3a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $T$ $12$ $1/4$ $2$ $12$ $1$ $[1, 2, 3, 4, 8, 8, 10, 27, 32, 22]$
1.4.F.12.4a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(D_3)$ $12$ $3/4$ $1$ $9$ $1$ $[1, 1, 3, 5, 7, 11, 9, 29, 31, 30]$
1.4.F.12.4b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{6,1}$ $12$ $3/4$ $1$ $9$ $1$ $[1, 1, 3, 5, 7, 9, 9, 27, 31, 22]$
1.4.F.12.4c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_6$ $12$ $7/12$ $2$ $18$ $1$ $[1, 2, 4, 7, 12, 12, 14, 39, 40, 29]$
1.4.F.12.4d $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{6,2}$ $12$ $7/12$ $2$ $18$ $2$ $[1, 2, 3, 8, 12, 10, 14, 37, 40, 23]$
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