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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
192.142.1a $1$ R \(\Q\) 192.142.1a $(C_2\times C_4):C_{24}$ $C_1$ $1$ 1.a1.a1 $192$ 1.a1.a1
192.142.1aa1 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa2 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa3 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa4 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa5 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa6 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa7 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1aa8 $1$ C \(\Q(\zeta_{8})\) 192.142.1aa $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.b1 $8$ 1.a1.a1
192.142.1ab1 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab2 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab3 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab4 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab5 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab6 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab7 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1ab8 $1$ C \(\Q(\zeta_{8})\) 192.142.1ab $(C_2\times C_4):C_{24}$ $C_{24}$ $24$ 24.c1.a1 $8$ 1.a1.a1
192.142.1b $1$ R \(\Q\) 192.142.1b $(C_2\times C_4):C_{24}$ $C_2$ $2$ 2.b1.a1 $96$ 1.a1.a1
192.142.1c $1$ R \(\Q\) 192.142.1c $(C_2\times C_4):C_{24}$ $C_2$ $2$ 2.b1.b1 $96$ 1.a1.a1
192.142.1d $1$ R \(\Q\) 192.142.1d $(C_2\times C_4):C_{24}$ $C_2$ $2$ 2.a1.a1 $96$ 1.a1.a1
192.142.1e1 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1e $(C_2\times C_4):C_{24}$ $C_3$ $3$ 3.a1.a1 $64$ 1.a1.a1
192.142.1e2 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1e $(C_2\times C_4):C_{24}$ $C_3$ $3$ 3.a1.a1 $64$ 1.a1.a1
192.142.1f1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1f $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.a1 $48$ 1.a1.a1
192.142.1f2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1f $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.a1 $48$ 1.a1.a1
192.142.1g1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1g $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.b1 $48$ 1.a1.a1
192.142.1g2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1g $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.b1 $48$ 1.a1.a1
192.142.1h1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1h $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.c1 $48$ 1.a1.a1
192.142.1h2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1h $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.c1 $48$ 1.a1.a1
192.142.1i1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1i $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.d1 $48$ 1.a1.a1
192.142.1i2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1i $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.c1.d1 $48$ 1.a1.a1
192.142.1j1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1j $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.b1.a1 $48$ 1.a1.a1
192.142.1j2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1j $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.b1.a1 $48$ 1.a1.a1
192.142.1k1 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1k $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.b1.b1 $48$ 1.a1.a1
192.142.1k2 $1$ C \(\Q(\sqrt{-1}) \) 192.142.1k $(C_2\times C_4):C_{24}$ $C_4$ $4$ 4.b1.b1 $48$ 1.a1.a1
192.142.1l1 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1l $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.b1.a1 $32$ 1.a1.a1
192.142.1l2 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1l $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.b1.a1 $32$ 1.a1.a1
192.142.1m1 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1m $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.b1.b1 $32$ 1.a1.a1
192.142.1m2 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1m $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.b1.b1 $32$ 1.a1.a1
192.142.1n1 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1n $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.a1.a1 $32$ 1.a1.a1
192.142.1n2 $1$ C \(\Q(\sqrt{-3}) \) 192.142.1n $(C_2\times C_4):C_{24}$ $C_6$ $6$ 6.a1.a1 $32$ 1.a1.a1
192.142.1o1 $1$ C \(\Q(\zeta_{8})\) 192.142.1o $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.c1 $24$ 1.a1.a1
192.142.1o2 $1$ C \(\Q(\zeta_{8})\) 192.142.1o $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.c1 $24$ 1.a1.a1
192.142.1o3 $1$ C \(\Q(\zeta_{8})\) 192.142.1o $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.c1 $24$ 1.a1.a1
192.142.1o4 $1$ C \(\Q(\zeta_{8})\) 192.142.1o $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.c1 $24$ 1.a1.a1
192.142.1p1 $1$ C \(\Q(\zeta_{8})\) 192.142.1p $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.d1 $24$ 1.a1.a1
192.142.1p2 $1$ C \(\Q(\zeta_{8})\) 192.142.1p $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.d1 $24$ 1.a1.a1
192.142.1p3 $1$ C \(\Q(\zeta_{8})\) 192.142.1p $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.d1 $24$ 1.a1.a1
192.142.1p4 $1$ C \(\Q(\zeta_{8})\) 192.142.1p $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.d1 $24$ 1.a1.a1
192.142.1q1 $1$ C \(\Q(\zeta_{8})\) 192.142.1q $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.b1 $24$ 1.a1.a1
192.142.1q2 $1$ C \(\Q(\zeta_{8})\) 192.142.1q $(C_2\times C_4):C_{24}$ $C_8$ $8$ 8.c1.b1 $24$ 1.a1.a1
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