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Label Wt Deg $\mathrm{dim}_{\mathbb{R}}$ $\mathrm{G}^0$ Name $\mathrm{G}/\mathrm{G}^0$ $\#\mathrm{G}/\mathrm{G^0}$ $\mathrm{Pr}[t\!=\!0]$ Trace moments
1.4.A.1.1a $1$ $4$ $10$ $\mathrm{USp}(4)$ $\mathrm{USp}(4)$ $C_1$ $1$ $0$ $1$ $0$ $1$ $0$ $3$ $0$ $14$ $0$ $84$
1.4.B.1.1a $1$ $4$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $G_{3,3}$ $C_1$ $1$ $0$ $1$ $0$ $2$ $0$ $10$ $0$ $70$ $0$ $588$
1.4.B.2.1a $1$ $4$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $N(G_{3,3})$ $C_2$ $2$ $1/2$ $1$ $0$ $1$ $0$ $5$ $0$ $35$ $0$ $294$
1.4.C.1.1a $1$ $4$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)$ $G_{1,3}$ $C_1$ $1$ $0$ $1$ $0$ $3$ $0$ $20$ $0$ $175$ $0$ $1764$
1.4.C.2.1a $1$ $4$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)$ $N(G_{1,3})$ $C_2$ $2$ $0$ $1$ $0$ $2$ $0$ $11$ $0$ $90$ $0$ $889$
1.4.D.1.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F$ $C_1$ $1$ $0$ $1$ $0$ $4$ $0$ $36$ $0$ $400$ $0$ $4900$
1.4.D.2.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{ab}$ $C_2$ $2$ $1/2$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2450$
1.4.D.2.1b $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_a$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $21$ $0$ $210$ $0$ $2485$
1.4.D.4.1a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{ac}$ $C_4$ $4$ $3/4$ $1$ $0$ $1$ $0$ $9$ $0$ $100$ $0$ $1225$
1.4.D.4.2a $1$ $4$ $2$ $\mathrm{U}(1)\times\mathrm{U}(1)$ $F_{a,b}$ $C_2^2$ $4$ $1/4$ $1$ $0$ $2$ $0$ $12$ $0$ $110$ $0$ $1260$
1.4.E.1.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_1$ $C_1$ $1$ $0$ $1$ $0$ $4$ $0$ $32$ $0$ $320$ $0$ $3584$
1.4.E.2.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_2$ $C_2$ $2$ $1/2$ $1$ $0$ $2$ $0$ $16$ $0$ $160$ $0$ $1792$
1.4.E.2.1b $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_1)$ $C_2$ $2$ $1/2$ $1$ $0$ $2$ $0$ $16$ $0$ $160$ $0$ $1792$
1.4.E.3.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_3$ $C_3$ $3$ $0$ $1$ $0$ $2$ $0$ $12$ $0$ $110$ $0$ $1204$
1.4.E.4.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_4$ $C_4$ $4$ $1/4$ $1$ $0$ $2$ $0$ $12$ $0$ $100$ $0$ $1008$
1.4.E.4.2a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_2)$ $C_2^2$ $4$ $3/4$ $1$ $0$ $1$ $0$ $8$ $0$ $80$ $0$ $896$
1.4.E.6.1a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_3)$ $S_3$ $6$ $1/2$ $1$ $0$ $1$ $0$ $6$ $0$ $55$ $0$ $602$
1.4.E.6.2a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_6$ $C_6$ $6$ $1/6$ $1$ $0$ $2$ $0$ $12$ $0$ $100$ $0$ $980$
1.4.E.8.3a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_4)$ $D_4$ $8$ $5/8$ $1$ $0$ $1$ $0$ $6$ $0$ $50$ $0$ $504$
1.4.E.12.4a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $J(E_6)$ $D_6$ $12$ $7/12$ $1$ $0$ $1$ $0$ $6$ $0$ $50$ $0$ $490$
1.4.F.1.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_1$ $C_1$ $1$ $0$ $1$ $0$ $8$ $0$ $96$ $0$ $1280$ $0$ $17920$
1.4.F.2.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_1)$ $C_2$ $2$ $1/2$ $1$ $0$ $4$ $0$ $48$ $0$ $640$ $0$ $8960$
1.4.F.2.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_2$ $C_2$ $2$ $1/2$ $1$ $0$ $4$ $0$ $48$ $0$ $640$ $0$ $8960$
1.4.F.2.1c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{2,1}$ $C_2$ $2$ $1/2$ $1$ $0$ $4$ $0$ $48$ $0$ $640$ $0$ $8960$
1.4.F.3.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_3$ $C_3$ $3$ $0$ $1$ $0$ $4$ $0$ $36$ $0$ $440$ $0$ $6020$
1.4.F.4.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{4,1}$ $C_4$ $4$ $3/4$ $1$ $0$ $2$ $0$ $24$ $0$ $320$ $0$ $4480$
1.4.F.4.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_4$ $C_4$ $4$ $1/4$ $1$ $0$ $4$ $0$ $36$ $0$ $400$ $0$ $5040$
1.4.F.4.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_2$ $C_2^2$ $4$ $3/4$ $1$ $0$ $2$ $0$ $24$ $0$ $320$ $0$ $4480$
1.4.F.4.2b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_2)$ $C_2^2$ $4$ $3/4$ $1$ $0$ $2$ $0$ $24$ $0$ $320$ $0$ $4480$
1.4.F.4.2c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{2,1}$ $C_2^2$ $4$ $3/4$ $1$ $0$ $2$ $0$ $24$ $0$ $320$ $0$ $4480$
1.4.F.6.1a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_3$ $S_3$ $6$ $1/2$ $1$ $0$ $2$ $0$ $18$ $0$ $220$ $0$ $3010$
1.4.F.6.1b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{3,2}$ $S_3$ $6$ $1/2$ $1$ $0$ $2$ $0$ $18$ $0$ $220$ $0$ $3010$
1.4.F.6.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_3)$ $C_6$ $6$ $1/2$ $1$ $0$ $2$ $0$ $18$ $0$ $220$ $0$ $3010$
1.4.F.6.2b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_{6,1}$ $C_6$ $6$ $1/2$ $1$ $0$ $2$ $0$ $18$ $0$ $220$ $0$ $3010$
1.4.F.6.2c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_6$ $C_6$ $6$ $1/6$ $1$ $0$ $4$ $0$ $36$ $0$ $400$ $0$ $4900$
1.4.F.8.2a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_4)$ $C_2\times C_4$ $8$ $5/8$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2520$
1.4.F.8.3a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{4,1}$ $D_4$ $8$ $7/8$ $1$ $0$ $1$ $0$ $12$ $0$ $160$ $0$ $2240$
1.4.F.8.3b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_4$ $D_4$ $8$ $5/8$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2520$
1.4.F.8.3c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{4,2}$ $D_4$ $8$ $5/8$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2520$
1.4.F.8.5a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(D_2)$ $C_2^3$ $8$ $7/8$ $1$ $0$ $1$ $0$ $12$ $0$ $160$ $0$ $2240$
1.4.F.12.3a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $T$ $A_4$ $12$ $1/4$ $1$ $0$ $2$ $0$ $12$ $0$ $120$ $0$ $1540$
1.4.F.12.4a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(D_3)$ $D_6$ $12$ $3/4$ $1$ $0$ $1$ $0$ $9$ $0$ $110$ $0$ $1505$
1.4.F.12.4b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{6,1}$ $D_6$ $12$ $3/4$ $1$ $0$ $1$ $0$ $9$ $0$ $110$ $0$ $1505$
1.4.F.12.4c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_6$ $D_6$ $12$ $7/12$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2450$
1.4.F.12.4d $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $D_{6,2}$ $D_6$ $12$ $7/12$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2450$
1.4.F.12.5a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(C_6)$ $C_2\times C_6$ $12$ $7/12$ $1$ $0$ $2$ $0$ $18$ $0$ $200$ $0$ $2450$
1.4.F.16.11a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(D_4)$ $C_2\times D_4$ $16$ $13/16$ $1$ $0$ $1$ $0$ $9$ $0$ $100$ $0$ $1260$
1.4.F.24.12a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $O_1$ $S_4$ $24$ $5/8$ $1$ $0$ $1$ $0$ $6$ $0$ $60$ $0$ $770$
1.4.F.24.12b $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $O$ $S_4$ $24$ $3/8$ $1$ $0$ $2$ $0$ $12$ $0$ $100$ $0$ $1050$
1.4.F.24.13a $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $J(T)$ $C_2\times A_4$ $24$ $5/8$ $1$ $0$ $1$ $0$ $6$ $0$ $60$ $0$ $770$
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