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Dimension Conductor Group Root number Parity
Smallest permutation Ramified Unramified primes Ramified prime count Frobenius-Schur
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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
9.809...744.18t112.a.a $9$ $ 2^{24} \cdot 13^{6}$ 8.0.177209344.3 $A_4\wr C_2$ $1$ $-3$
9.224...944.18t112.a.a $9$ $ 2^{6} \cdot 37^{8}$ 8.0.41051622544.1 $A_4\wr C_2$ $1$ $1$
9.570...384.18t112.a.a $9$ $ 2^{30} \cdot 3^{12}$ 8.0.1358954496.10 $A_4\wr C_2$ $1$ $-3$
9.722...736.18t112.a.a $9$ $ 2^{24} \cdot 3^{16}$ 8.0.3869835264.2 $A_4\wr C_2$ $1$ $-3$
9.722...736.18t112.b.a $9$ $ 2^{24} \cdot 3^{16}$ 8.0.6879707136.1 $A_4\wr C_2$ $1$ $-3$
9.914...744.18t112.a.a $9$ $ 2^{18} \cdot 3^{20}$ 8.0.2176782336.1 $A_4\wr C_2$ $1$ $-3$
9.129...824.18t112.a.a $9$ $ 2^{8} \cdot 3^{16} \cdot 7^{6}$ 8.0.740710656.4 $A_4\wr C_2$ $1$ $-3$
9.143...136.18t112.a.a $9$ $ 2^{24} \cdot 3^{6} \cdot 7^{6}$ 8.0.260112384.9 $A_4\wr C_2$ $1$ $-3$
9.230...576.18t112.a.a $9$ $ 2^{12} \cdot 3^{14} \cdot 7^{6}$ 8.0.740710656.5 $A_4\wr C_2$ $1$ $-3$
9.275...000.18t112.a.a $9$ $ 2^{12} \cdot 3^{16} \cdot 5^{6}$ 8.0.1049760000.1 $A_4\wr C_2$ $1$ $1$
9.275...000.18t112.b.a $9$ $ 2^{12} \cdot 3^{16} \cdot 5^{6}$ 8.0.9447840000.1 $A_4\wr C_2$ $1$ $-3$
9.301...000.18t112.a.a $9$ $ 2^{12} \cdot 5^{6} \cdot 19^{6}$ 8.0.57760000.3 $A_4\wr C_2$ $1$ $1$
9.349...336.18t112.a.a $9$ $ 2^{12} \cdot 31^{8}$ 8.0.3635215077376.1 $A_4\wr C_2$ $1$ $-3$
9.447...056.18t112.a.a $9$ $ 2^{6} \cdot 7^{6} \cdot 29^{6}$ 8.4.466341483664.1 $A_4\wr C_2$ $1$ $-3$
9.471...304.18t112.a.a $9$ $ 2^{10} \cdot 3^{6} \cdot 43^{6}$ 8.0.38340864.1 $A_4\wr C_2$ $1$ $-3$
9.548...000.18t112.a.a $9$ $ 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6}$ 8.0.31116960000.18 $A_4\wr C_2$ $1$ $-3$
9.738...104.18t112.a.a $9$ $ 2^{6} \cdot 3^{14} \cdot 17^{6}$ 8.0.22804788990096.1 $A_4\wr C_2$ $1$ $-3$
9.766...456.18t112.a.a $9$ $ 2^{12} \cdot 3^{6} \cdot 37^{6}$ 8.0.454201344.2 $A_4\wr C_2$ $1$ $-3$
9.899...856.18t112.a.a $9$ $ 2^{18} \cdot 3^{6} \cdot 19^{6}$ 8.0.119771136.4 $A_4\wr C_2$ $1$ $-3$
9.900...000.18t112.a.a $9$ $ 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6}$ 8.0.2190240000.6 $A_4\wr C_2$ $1$ $-3$
9.105...824.18t112.a.a $9$ $ 2^{12} \cdot 3^{12} \cdot 13^{6}$ 8.0.283855104.1 $A_4\wr C_2$ $1$ $-3$
9.105...824.18t112.b.a $9$ $ 2^{12} \cdot 3^{12} \cdot 13^{6}$ 8.0.592240896.8 $A_4\wr C_2$ $1$ $1$
9.105...824.18t112.c.a $9$ $ 2^{12} \cdot 3^{12} \cdot 13^{6}$ 8.0.4541681664.1 $A_4\wr C_2$ $1$ $-3$
9.125...136.18t112.a.a $9$ $ 2^{12} \cdot 3^{12} \cdot 7^{8}$ 8.0.197605142784.1 $A_4\wr C_2$ $1$ $1$
9.125...136.18t112.b.a $9$ $ 2^{12} \cdot 3^{12} \cdot 7^{8}$ 8.0.64524128256.1 $A_4\wr C_2$ $1$ $-3$
9.135...984.18t112.a.a $9$ $ 2^{18} \cdot 61^{6}$ 8.0.60964864.1 $A_4\wr C_2$ $1$ $-3$
9.142...000.18t112.a.a $9$ $ 2^{10} \cdot 5^{6} \cdot 31^{6}$ 8.0.153760000.2 $A_4\wr C_2$ $1$ $1$
9.147...536.18t112.a.a $9$ $ 2^{12} \cdot 3^{16} \cdot 17^{4}$ 8.0.1262548871424.3 $A_4\wr C_2$ $1$ $-3$
9.158...344.18t112.a.a $9$ $ 2^{6} \cdot 3^{16} \cdot 7^{8}$ 8.0.111152892816.1 $A_4\wr C_2$ $1$ $1$
9.163...096.18t112.a.a $9$ $ 2^{18} \cdot 3^{12} \cdot 7^{6}$ 8.0.1316818944.1 $A_4\wr C_2$ $1$ $1$
9.163...096.18t112.b.a $9$ $ 2^{18} \cdot 3^{12} \cdot 7^{6}$ 8.0.1316818944.2 $A_4\wr C_2$ $1$ $-3$
9.207...184.18t112.a.a $9$ $ 2^{12} \cdot 3^{16} \cdot 7^{6}$ 8.0.36294822144.4 $A_4\wr C_2$ $1$ $1$
9.207...184.18t112.b.a $9$ $ 2^{12} \cdot 3^{16} \cdot 7^{6}$ 8.0.740710656.3 $A_4\wr C_2$ $1$ $-3$
9.226...824.18t112.a.a $9$ $ 2^{12} \cdot 7^{6} \cdot 19^{6}$ 8.0.1634746624.1 $A_4\wr C_2$ $1$ $-3$
9.236...000.18t112.a.a $9$ $ 2^{18} \cdot 5^{6} \cdot 7^{8}$ 8.0.75295360000.1 $A_4\wr C_2$ $1$ $-3$
9.262...936.18t112.a.a $9$ $ 2^{6} \cdot 3^{20} \cdot 7^{6}$ 8.0.416649744.1 $A_4\wr C_2$ $1$ $-3$
9.282...056.18t112.a.a $9$ $ 2^{10} \cdot 3^{14} \cdot 7^{8}$ 8.0.36294822144.5 $A_4\wr C_2$ $1$ $-3$
9.290...144.18t112.a.a $9$ $ 2^{6} \cdot 3^{20} \cdot 19^{4}$ 8.0.1108126760976.1 $A_4\wr C_2$ $1$ $-3$
9.308...000.18t112.a.a $9$ $ 2^{24} \cdot 5^{6} \cdot 7^{6}$ 8.0.8028160000.1 $A_4\wr C_2$ $1$ $1$
9.308...000.18t112.b.a $9$ $ 2^{24} \cdot 5^{6} \cdot 7^{6}$ 8.0.32112640000.1 $A_4\wr C_2$ $1$ $-3$
9.347...464.18t112.a.a $9$ $ 2^{12} \cdot 3^{14} \cdot 11^{6}$ 8.0.2732361984.6 $A_4\wr C_2$ $1$ $-3$
9.350...504.18t112.a.a $9$ $ 2^{12} \cdot 11^{6} \cdot 13^{6}$ 8.0.107049369856.3 $A_4\wr C_2$ $1$ $-3$
9.372...976.18t112.a.a $9$ $ 2^{16} \cdot 7^{6} \cdot 13^{6}$ 8.0.1662029824.4 $A_4\wr C_2$ $1$ $-3$
9.400...625.18t112.a.a $9$ $ 3^{12} \cdot 5^{6} \cdot 13^{6}$ 8.0.1445900625.5 $A_4\wr C_2$ $1$ $1$
9.430...344.18t112.a.a $9$ $ 2^{24} \cdot 37^{6}$ 8.0.1435500544.3 $A_4\wr C_2$ $1$ $-3$
9.462...104.18t112.a.a $9$ $ 2^{30} \cdot 3^{16}$ 8.0.990677827584.1 $A_4\wr C_2$ $1$ $-3$
9.475...264.18t112.a.a $9$ $ 2^{6} \cdot 7^{6} \cdot 43^{6}$ 8.0.242841482890384.1 $A_4\wr C_2$ $1$ $-3$
9.505...944.18t112.a.a $9$ $ 2^{30} \cdot 19^{6}$ 8.0.6056574976.1 $A_4\wr C_2$ $1$ $-3$
9.507...344.18t112.a.a $9$ $ 2^{12} \cdot 3^{6} \cdot 19^{8}$ 8.0.43237380096.7 $A_4\wr C_2$ $1$ $-3$
9.522...000.18t112.a.a $9$ $ 2^{12} \cdot 5^{6} \cdot 13^{8}$ 8.0.772289440000.4 $A_4\wr C_2$ $1$ $1$
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