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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
1.6.A.1.1a $1$ $6$ $21$ $\mathrm{USp}(6)$ $\mathrm{USp}(6)$ $C_1$ $1$ $0$ $1$ $0$ $1$ $0$ $3$ $0$ $15$ $0$ $104$
1.6.B.1.1a $1$ $6$ $9$ $\mathrm{U}(3)$ $\mathrm{U}(3)$ $C_1$ $1$ $0$ $1$ $0$ $2$ $0$ $12$ $0$ $120$ $0$ $1610$
1.6.B.2.1a $1$ $6$ $9$ $\mathrm{U}(3)$ $N(\mathrm{U}(3))$ $C_2$ $2$ $1/2$ $1$ $0$ $1$ $0$ $6$ $0$ $60$ $0$ $805$
1.6.C.1.1a $1$ $6$ $13$ $\mathrm{SU}(2)\times\mathrm{USp}(4)$ $\mathrm{SU}(2)\times \mathrm{USp}(4)$ $C_1$ $1$ $0$ $1$ $0$ $2$ $0$ $11$ $0$ $94$ $0$ $1050$
1.6.D.1.1a $1$ $6$ $11$ $\mathrm{U}(1)\times\mathrm{USp}(4)$ $\mathrm{U}(1)\times \mathrm{USp}(4)$ $C_1$ $1$ $0$ $1$ $0$ $3$ $0$ $21$ $0$ $214$ $0$ $2758$
1.6.D.2.1a $1$ $6$ $11$ $\mathrm{U}(1)\times\mathrm{USp}(4)$ $N(\mathrm{U}(1)\times \mathrm{USp}(4))$ $C_2$ $2$ $0$ $1$ $0$ $2$ $0$ $12$ $0$ $114$ $0$ $1421$
1.6.E.1.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E$ $C_1$ $1$ $0$ $1$ $0$ $3$ $0$ $24$ $0$ $285$ $0$ $4242$
1.6.E.2.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E_{t}$ $C_2$ $2$ $0$ $1$ $0$ $2$ $0$ $13$ $0$ $145$ $0$ $2128$
1.6.E.3.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E_{s}$ $C_3$ $3$ $2/3$ $1$ $0$ $1$ $0$ $8$ $0$ $95$ $0$ $1414$
1.6.E.6.1a $1$ $6$ $9$ $\mathrm{SU}(2)^3$ $E_{s,t}$ $S_3$ $6$ $1/3$ $1$ $0$ $1$ $0$ $5$ $0$ $50$ $0$ $714$
1.6.F.1.1a $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F$ $C_1$ $1$ $0$ $1$ $0$ $4$ $0$ $40$ $0$ $570$ $0$ $9898$
1.6.F.2.1a $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{at}$ $C_2$ $2$ $1/2$ $1$ $0$ $2$ $0$ $20$ $0$ $285$ $0$ $4949$
1.6.F.2.1b $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{t}$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $23$ $0$ $295$ $0$ $4984$
1.6.F.2.1c $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{a}$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $25$ $0$ $320$ $0$ $5243$
1.6.F.4.2a $1$ $6$ $7$ $\mathrm{U}(1)\times\mathrm{SU}(2)^2$ $F_{a,t}$ $C_2^2$ $4$ $1/4$ $1$ $0$ $2$ $0$ $14$ $0$ $165$ $0$ $2639$
1.6.G.1.1a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F\times \mathrm{SU}(2)$ $C_1$ $1$ $0$ $1$ $0$ $5$ $0$ $62$ $0$ $1065$ $0$ $21714$
1.6.G.2.1a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{ab}\times \mathrm{SU}(2)$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $32$ $0$ $535$ $0$ $10864$
1.6.G.2.1b $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{a}\times \mathrm{SU}(2)$ $C_2$ $2$ $0$ $1$ $0$ $4$ $0$ $41$ $0$ $620$ $0$ $11739$
1.6.G.4.1a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{ac}\times \mathrm{SU}(2)$ $C_4$ $4$ $0$ $1$ $0$ $2$ $0$ $17$ $0$ $270$ $0$ $5439$
1.6.G.4.2a $1$ $6$ $5$ $\mathrm{U}(1)^2\times\mathrm{SU}(2)$ $F_{a,b}\times \mathrm{SU}(2)$ $C_2^2$ $4$ $0$ $1$ $0$ $3$ $0$ $26$ $0$ $355$ $0$ $6314$
1.6.H.1.1a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H$ $C_1$ $1$ $0$ $1$ $0$ $6$ $0$ $90$ $0$ $1860$ $0$ $44730$
1.6.H.2.1a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{abc}$ $C_2$ $2$ $1/2$ $1$ $0$ $3$ $0$ $45$ $0$ $930$ $0$ $22365$
1.6.H.2.1b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{ab}$ $C_2$ $2$ $0$ $1$ $0$ $4$ $0$ $48$ $0$ $940$ $0$ $22400$
1.6.H.2.1c $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a}$ $C_2$ $2$ $0$ $1$ $0$ $5$ $0$ $63$ $0$ $1130$ $0$ $24815$
1.6.H.3.1a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{s}$ $C_3$ $3$ $2/3$ $1$ $0$ $2$ $0$ $30$ $0$ $620$ $0$ $14910$
1.6.H.4.1a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{act}$ $C_4$ $4$ $1/2$ $1$ $0$ $2$ $0$ $24$ $0$ $470$ $0$ $11200$
1.6.H.4.1b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{at}$ $C_4$ $4$ $0$ $1$ $0$ $3$ $0$ $27$ $0$ $480$ $0$ $11235$
1.6.H.4.2a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{ab,bc}$ $C_2^2$ $4$ $0$ $1$ $0$ $3$ $0$ $27$ $0$ $480$ $0$ $11235$
1.6.H.4.2b $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a,bc}$ $C_2^2$ $4$ $1/4$ $1$ $0$ $3$ $0$ $33$ $0$ $570$ $0$ $12425$
1.6.H.4.2c $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a,b}$ $C_2^2$ $4$ $0$ $1$ $0$ $4$ $0$ $42$ $0$ $670$ $0$ $13650$
1.6.H.6.2a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{abc,s}$ $C_6$ $6$ $5/6$ $1$ $0$ $1$ $0$ $15$ $0$ $310$ $0$ $7455$
1.6.H.8.2a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{c,at}$ $C_2\times C_4$ $8$ $3/8$ $1$ $0$ $2$ $0$ $18$ $0$ $290$ $0$ $6230$
1.6.H.8.5a $1$ $6$ $3$ $\mathrm{U}(1)^3$ $H_{a,b,c}$ $C_2^3$ $8$ $1/8$ $1$ $0$ $3$ $0$ $27$ $0$ $390$ $0$ $7455$
1.6.I.1.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_1$ $C_1$ $1$ $0$ $1$ $0$ $5$ $0$ $58$ $0$ $925$ $0$ $17598$
1.6.I.2.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_2$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $30$ $0$ $465$ $0$ $8806$
1.6.I.2.1b $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_1)$ $C_2$ $2$ $0$ $1$ $0$ $3$ $0$ $30$ $0$ $465$ $0$ $8806$
1.6.I.3.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_3$ $C_3$ $3$ $0$ $1$ $0$ $3$ $0$ $26$ $0$ $355$ $0$ $6258$
1.6.I.4.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_4$ $C_4$ $4$ $0$ $1$ $0$ $3$ $0$ $26$ $0$ $345$ $0$ $5782$
1.6.I.4.2a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_2)$ $C_2^2$ $4$ $0$ $1$ $0$ $2$ $0$ $16$ $0$ $235$ $0$ $4410$
1.6.I.6.1a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_3)$ $S_3$ $6$ $0$ $1$ $0$ $2$ $0$ $14$ $0$ $180$ $0$ $3136$
1.6.I.6.2a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times E_6$ $C_6$ $6$ $0$ $1$ $0$ $3$ $0$ $26$ $0$ $345$ $0$ $5754$
1.6.I.8.3a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_4)$ $D_4$ $8$ $0$ $1$ $0$ $2$ $0$ $14$ $0$ $175$ $0$ $2898$
1.6.I.12.4a $1$ $6$ $6$ $\mathrm{SU}(2)\times\mathrm{SU}(2)_2$ $\mathrm{SU}(2)\times J(E_6)$ $D_6$ $12$ $0$ $1$ $0$ $2$ $0$ $14$ $0$ $175$ $0$ $2884$
1.6.J.1.1a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(E_1)$ $C_1$ $1$ $0$ $1$ $0$ $6$ $0$ $86$ $0$ $1660$ $0$ $37254$
1.6.J.2.1a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(E_2,E_1)$ $C_2$ $2$ $1/2$ $1$ $0$ $3$ $0$ $43$ $0$ $830$ $0$ $18627$
1.6.J.2.1b $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(E_2)$ $C_2$ $2$ $0$ $1$ $0$ $4$ $0$ $46$ $0$ $840$ $0$ $18662$
1.6.J.2.1c $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(J(E_1),E_1)$ $C_2$ $2$ $1/2$ $1$ $0$ $3$ $0$ $43$ $0$ $830$ $0$ $18627$
1.6.J.2.1d $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(J(E_1))$ $C_2$ $2$ $0$ $1$ $0$ $4$ $0$ $46$ $0$ $840$ $0$ $18662$
1.6.J.2.1e $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_2(E_1)$ $C_2$ $2$ $0$ $1$ $0$ $5$ $0$ $59$ $0$ $990$ $0$ $20419$
1.6.J.3.1a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J_1(E_3)$ $C_3$ $3$ $0$ $1$ $0$ $4$ $0$ $42$ $0$ $670$ $0$ $13594$
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