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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1728.34797.1a $1$ R \(\Q\) 1728.34797.1a $(C_2\times C_4).S_3^3$ $C_1$ $1$ 1.a1 $1728$ 1.a1
1728.34797.1b $1$ R \(\Q\) 1728.34797.1b $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.o1 $864$ 1.a1
1728.34797.1c $1$ R \(\Q\) 1728.34797.1c $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.n1 $864$ 1.a1
1728.34797.1d $1$ R \(\Q\) 1728.34797.1d $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.m1 $864$ 1.a1
1728.34797.1e $1$ R \(\Q\) 1728.34797.1e $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.l1 $864$ 1.a1
1728.34797.1f $1$ R \(\Q\) 1728.34797.1f $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.k1 $864$ 1.a1
1728.34797.1g $1$ R \(\Q\) 1728.34797.1g $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.j1 $864$ 1.a1
1728.34797.1h $1$ R \(\Q\) 1728.34797.1h $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.i1 $864$ 1.a1
1728.34797.1i $1$ R \(\Q\) 1728.34797.1i $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.h1 $864$ 1.a1
1728.34797.1j $1$ R \(\Q\) 1728.34797.1j $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.g1 $864$ 1.a1
1728.34797.1k $1$ R \(\Q\) 1728.34797.1k $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.f1 $864$ 1.a1
1728.34797.1l $1$ R \(\Q\) 1728.34797.1l $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.e1 $864$ 1.a1
1728.34797.1m $1$ R \(\Q\) 1728.34797.1m $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.d1 $864$ 1.a1
1728.34797.1n $1$ R \(\Q\) 1728.34797.1n $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.c1 $864$ 1.a1
1728.34797.1o $1$ R \(\Q\) 1728.34797.1o $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.b1 $864$ 1.a1
1728.34797.1p $1$ R \(\Q\) 1728.34797.1p $(C_2\times C_4).S_3^3$ $C_2$ $2$ 2.a1 $864$ 1.a1
1728.34797.2a $2$ R \(\Q\) 1728.34797.2a $(C_2\times C_4).S_3^3$ $S_3$ $6$ 6.c1 $288$ 6.c1
1728.34797.2aa $2$ S \(\Q\) 1728.34797.2aa $(C_2\times C_4).S_3^3$ $Q_8$ $8$ 8.p1 $216$ 4.a1
1728.34797.2ab $2$ S \(\Q\) 1728.34797.2ab $(C_2\times C_4).S_3^3$ $Q_8$ $8$ 8.p1 $216$ 4.a1
1728.34797.2ac1 $2$ C \(\Q(\sqrt{-1}) \) 1728.34797.2ac $(C_2\times C_4).S_3^3$ $D_4:C_2$ $16$ 16.e1 $108$ 4.z1
1728.34797.2ac2 $2$ C \(\Q(\sqrt{-1}) \) 1728.34797.2ac $(C_2\times C_4).S_3^3$ $D_4:C_2$ $16$ 16.e1 $108$ 4.z1
1728.34797.2ad1 $2$ C \(\Q(\sqrt{-1}) \) 1728.34797.2ad $(C_2\times C_4).S_3^3$ $D_4:C_2$ $16$ 16.e1 $108$ 4.z1
1728.34797.2ad2 $2$ C \(\Q(\sqrt{-1}) \) 1728.34797.2ad $(C_2\times C_4).S_3^3$ $D_4:C_2$ $16$ 16.e1 $108$ 4.z1
1728.34797.2ae1 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ae $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2ae2 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ae $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2af1 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2af $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2af2 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2af $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2ag1 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ag $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2ag2 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ag $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2ah1 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ah $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2ah2 $2$ S \(\Q(\sqrt{3}) \) 1728.34797.2ah $(C_2\times C_4).S_3^3$ $C_3:Q_8$ $24$ 24.v1 $72$ 12.a1
1728.34797.2b $2$ R \(\Q\) 1728.34797.2b $(C_2\times C_4).S_3^3$ $S_3$ $6$ 6.b1 $288$ 6.b1
1728.34797.2c $2$ R \(\Q\) 1728.34797.2c $(C_2\times C_4).S_3^3$ $S_3$ $6$ 6.a1 $288$ 6.a1
1728.34797.2d $2$ R \(\Q\) 1728.34797.2d $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.q1 $144$ 6.a1
1728.34797.2e $2$ R \(\Q\) 1728.34797.2e $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.p1 $144$ 6.a1
1728.34797.2f $2$ R \(\Q\) 1728.34797.2f $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.u1 $144$ 6.b1
1728.34797.2g $2$ R \(\Q\) 1728.34797.2g $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.t1 $144$ 6.b1
1728.34797.2h $2$ R \(\Q\) 1728.34797.2h $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.s1 $144$ 6.b1
1728.34797.2i $2$ R \(\Q\) 1728.34797.2i $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.r1 $144$ 6.b1
1728.34797.2j $2$ R \(\Q\) 1728.34797.2j $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.h1 $144$ 6.a1
1728.34797.2k $2$ R \(\Q\) 1728.34797.2k $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.g1 $144$ 6.a1
1728.34797.2l $2$ R \(\Q\) 1728.34797.2l $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.o1 $144$ 6.c1
1728.34797.2m $2$ R \(\Q\) 1728.34797.2m $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.n1 $144$ 6.c1
1728.34797.2n $2$ R \(\Q\) 1728.34797.2n $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.m1 $144$ 6.c1
1728.34797.2o $2$ R \(\Q\) 1728.34797.2o $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.l1 $144$ 6.c1
1728.34797.2p $2$ R \(\Q\) 1728.34797.2p $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.k1 $144$ 6.c1
1728.34797.2q $2$ R \(\Q\) 1728.34797.2q $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.j1 $144$ 6.c1
1728.34797.2r $2$ R \(\Q\) 1728.34797.2r $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.i1 $144$ 6.c1
1728.34797.2s $2$ R \(\Q\) 1728.34797.2s $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.c1 $144$ 6.a1
1728.34797.2t $2$ R \(\Q\) 1728.34797.2t $(C_2\times C_4).S_3^3$ $D_6$ $12$ 12.b1 $144$ 6.a1
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