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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
192.462.1a $1$ R \(\Q\) 192.462.1a $C_{16}:D_6$ $C_1$ $1$ 1.a1.a1 $192$ 1.a1.a1
192.462.1b $1$ R \(\Q\) 192.462.1b $C_{16}:D_6$ $C_2$ $2$ 2.d1.d1 $96$ 1.a1.a1
192.462.1c $1$ R \(\Q\) 192.462.1c $C_{16}:D_6$ $C_2$ $2$ 2.d1.c1 $96$ 1.a1.a1
192.462.1d $1$ R \(\Q\) 192.462.1d $C_{16}:D_6$ $C_2$ $2$ 2.d1.b1 $96$ 1.a1.a1
192.462.1e $1$ R \(\Q\) 192.462.1e $C_{16}:D_6$ $C_2$ $2$ 2.d1.a1 $96$ 1.a1.a1
192.462.1f $1$ R \(\Q\) 192.462.1f $C_{16}:D_6$ $C_2$ $2$ 2.c1.a1 $96$ 1.a1.a1
192.462.1g $1$ R \(\Q\) 192.462.1g $C_{16}:D_6$ $C_2$ $2$ 2.b1.a1 $96$ 1.a1.a1
192.462.1h $1$ R \(\Q\) 192.462.1h $C_{16}:D_6$ $C_2$ $2$ 2.a1.a1 $96$ 1.a1.a1
192.462.2a $2$ R \(\Q\) 192.462.2a $C_{16}:D_6$ $S_3$ $6$ 6.a1.a1 $32$ 6.a1.a1
192.462.2b $2$ R \(\Q\) 192.462.2b $C_{16}:D_6$ $D_4$ $8$ 8.b1.a1 $24$ 4.a1.a1
192.462.2c $2$ R \(\Q\) 192.462.2c $C_{16}:D_6$ $D_4$ $8$ 8.a1.a1 $24$ 4.a1.a1
192.462.2d $2$ R \(\Q\) 192.462.2d $C_{16}:D_6$ $D_6$ $12$ 12.b1.b1 $16$ 6.a1.a1
192.462.2e $2$ R \(\Q\) 192.462.2e $C_{16}:D_6$ $D_6$ $12$ 12.b1.a1 $16$ 6.a1.a1
192.462.2f $2$ R \(\Q\) 192.462.2f $C_{16}:D_6$ $D_6$ $12$ 12.a1.a1 $16$ 6.a1.a1
192.462.2g1 $2$ R \(\Q(\sqrt{2}) \) 192.462.2g $C_{16}:D_6$ $D_8$ $16$ 16.b1.a1 $12$ 8.a1.a1
192.462.2g2 $2$ R \(\Q(\sqrt{2}) \) 192.462.2g $C_{16}:D_6$ $D_8$ $16$ 16.b1.a1 $12$ 8.a1.a1
192.462.2h1 $2$ R \(\Q(\sqrt{2}) \) 192.462.2h $C_{16}:D_6$ $D_8$ $16$ 16.a1.a1 $12$ 8.a1.a1
192.462.2h2 $2$ R \(\Q(\sqrt{2}) \) 192.462.2h $C_{16}:D_6$ $D_8$ $16$ 16.a1.a1 $12$ 8.a1.a1
192.462.2i1 $2$ R \(\Q(\sqrt{3}) \) 192.462.2i $C_{16}:D_6$ $D_{12}$ $24$ 24.b1.a1 $8$ 12.a1.a1
192.462.2i2 $2$ R \(\Q(\sqrt{3}) \) 192.462.2i $C_{16}:D_6$ $D_{12}$ $24$ 24.b1.a1 $8$ 12.a1.a1
192.462.2j1 $2$ R \(\Q(\sqrt{3}) \) 192.462.2j $C_{16}:D_6$ $D_{12}$ $24$ 24.a1.a1 $8$ 12.a1.a1
192.462.2j2 $2$ R \(\Q(\sqrt{3}) \) 192.462.2j $C_{16}:D_6$ $D_{12}$ $24$ 24.a1.a1 $8$ 12.a1.a1
192.462.2k1 $2$ C 4.0.2048.2 192.462.2k $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.b1 $6$ 16.a1.a1
192.462.2k2 $2$ C 4.0.2048.2 192.462.2k $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.b1 $6$ 16.a1.a1
192.462.2k3 $2$ C 4.0.2048.2 192.462.2k $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.b1 $6$ 16.a1.a1
192.462.2k4 $2$ C 4.0.2048.2 192.462.2k $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.b1 $6$ 16.a1.a1
192.462.2l1 $2$ C 4.0.2048.2 192.462.2l $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.a1 $6$ 16.a1.a1
192.462.2l2 $2$ C 4.0.2048.2 192.462.2l $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.a1 $6$ 16.a1.a1
192.462.2l3 $2$ C 4.0.2048.2 192.462.2l $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.a1 $6$ 16.a1.a1
192.462.2l4 $2$ C 4.0.2048.2 192.462.2l $C_{16}:D_6$ $\SD_{32}$ $32$ 32.a1.a1 $6$ 16.a1.a1
192.462.2m1 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2m $C_{16}:D_6$ $D_{24}$ $48$ 48.b1.a1 $4$ 24.a1.a1
192.462.2m2 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2m $C_{16}:D_6$ $D_{24}$ $48$ 48.b1.a1 $4$ 24.a1.a1
192.462.2m3 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2m $C_{16}:D_6$ $D_{24}$ $48$ 48.b1.a1 $4$ 24.a1.a1
192.462.2m4 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2m $C_{16}:D_6$ $D_{24}$ $48$ 48.b1.a1 $4$ 24.a1.a1
192.462.2n1 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2n $C_{16}:D_6$ $D_{24}$ $48$ 48.a1.a1 $4$ 24.a1.a1
192.462.2n2 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2n $C_{16}:D_6$ $D_{24}$ $48$ 48.a1.a1 $4$ 24.a1.a1
192.462.2n3 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2n $C_{16}:D_6$ $D_{24}$ $48$ 48.a1.a1 $4$ 24.a1.a1
192.462.2n4 $2$ R \(\Q(\sqrt{2}, \sqrt{3})\) 192.462.2n $C_{16}:D_6$ $D_{24}$ $48$ 48.a1.a1 $4$ 24.a1.a1
192.462.2o1 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o2 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o3 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o4 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o5 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o6 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o7 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2o8 $2$ C 8.0.1358954496.3 192.462.2o $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.b1 $2$ 48.a1.a1
192.462.2p1 $2$ C 8.0.1358954496.3 192.462.2p $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.a1 $2$ 48.a1.a1
192.462.2p2 $2$ C 8.0.1358954496.3 192.462.2p $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.a1 $2$ 48.a1.a1
192.462.2p3 $2$ C 8.0.1358954496.3 192.462.2p $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.a1 $2$ 48.a1.a1
192.462.2p4 $2$ C 8.0.1358954496.3 192.462.2p $C_{16}:D_6$ $C_{48}:C_2$ $96$ 96.a1.a1 $2$ 48.a1.a1
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