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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 $\chi(c)$
6.2472128.9t31.a.a $6$ $ 2^{6} \cdot 19^{2} \cdot 107 $ 9.1.187881728.1 $S_3\wr S_3$ $1$ $0$
6.3003175.9t31.a.a $6$ $ 5^{2} \cdot 7 \cdot 131^{2}$ 9.1.1967079625.1 $S_3\wr S_3$ $1$ $0$
6.3622592.9t31.a.a $6$ $ 2^{6} \cdot 23^{2} \cdot 107 $ 9.1.83319616.1 $S_3\wr S_3$ $1$ $0$
6.3636603.9t31.a.a $6$ $ 3^{3} \cdot 367^{2}$ 9.1.1334633301.1 $S_3\wr S_3$ $1$ $0$
6.4120768.9t31.a.a $6$ $ 2^{6} \cdot 31^{2} \cdot 67 $ 9.1.127743808.1 $S_3\wr S_3$ $1$ $0$
6.4952651.9t31.a.a $6$ $ 11^{3} \cdot 61^{2}$ 9.1.3323228821.1 $S_3\wr S_3$ $1$ $0$
6.6507200.9t31.a.a $6$ $ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 83 $ 9.1.911008000.1 $S_3\wr S_3$ $1$ $0$
6.7098343.9t31.a.a $6$ $ 7 \cdot 19^{2} \cdot 53^{2}$ 9.1.7148031401.1 $S_3\wr S_3$ $1$ $0$
6.7209664.9t31.a.a $6$ $ 2^{6} \cdot 7^{2} \cdot 11^{2} \cdot 19 $ 9.1.317225216.1 $S_3\wr S_3$ $1$ $0$
6.7756992.9t31.a.a $6$ $ 2^{6} \cdot 3^{3} \cdot 67^{2}$ 9.1.2078873856.1 $S_3\wr S_3$ $1$ $0$
6.8258753.9t31.a.a $6$ $ 17^{3} \cdot 41^{2}$ 9.5.5756350841.1 $S_3\wr S_3$ $1$ $2$
6.8768704.9t31.a.a $6$ $ 2^{6} \cdot 7 \cdot 23^{2} \cdot 37 $ 9.1.201680192.1 $S_3\wr S_3$ $1$ $0$
6.10073008.9t31.a.a $6$ $ 2^{4} \cdot 11^{4} \cdot 43 $ 9.1.4875335872.1 $S_3\wr S_3$ $1$ $0$
6.10245312.9t31.a.a $6$ $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 11^{2}$ 9.1.2366667072.1 $S_3\wr S_3$ $1$ $0$
6.11231207.18t319.a.a $6$ $ 13 \cdot 29 \cdot 31^{3}$ 9.1.348167417.1 $S_3\wr S_3$ $1$ $0$
6.11231207.9t31.a.a $6$ $ 13 \cdot 29 \cdot 31^{3}$ 9.1.348167417.1 $S_3\wr S_3$ $1$ $0$
6.11397376.9t31.a.a $6$ $ 2^{8} \cdot 211^{2}$ 9.1.2404846336.1 $S_3\wr S_3$ $1$ $0$
6.11809800.9t31.a.a $6$ $ 2^{3} \cdot 3^{10} \cdot 5^{2}$ 9.1.2869781400.1 $S_3\wr S_3$ $1$ $0$
6.12839921.18t319.a.a $6$ $ 31^{3} \cdot 431 $ 9.3.398037551.1 $S_3\wr S_3$ $1$ $-2$
6.12839921.9t31.a.a $6$ $ 31^{3} \cdot 431 $ 9.3.398037551.1 $S_3\wr S_3$ $1$ $2$
6.13079232.9t31.a.a $6$ $ 2^{6} \cdot 3^{5} \cdot 29^{2}$ 9.1.1137893184.1 $S_3\wr S_3$ $1$ $0$
6.14950512.9t31.a.a $6$ $ 2^{4} \cdot 3^{2} \cdot 47^{3}$ 9.3.8432088768.1 $S_3\wr S_3$ $1$ $0$
6.15704832.9t31.a.a $6$ $ 2^{8} \cdot 3 \cdot 11^{2} \cdot 13^{2}$ 9.1.17966327808.1 $S_3\wr S_3$ $1$ $0$
6.15936064.9t31.a.a $6$ $ 2^{6} \cdot 499^{2}$ 9.1.7952095936.1 $S_3\wr S_3$ $1$ $0$
6.17229808.18t319.a.a $6$ $ 2^{4} \cdot 19^{3} \cdot 157 $ 9.1.1309465408.1 $S_3\wr S_3$ $1$ $0$
6.17229808.9t31.a.a $6$ $ 2^{4} \cdot 19^{3} \cdot 157 $ 9.1.1309465408.1 $S_3\wr S_3$ $1$ $0$
6.18958528.9t31.a.a $6$ $ 2^{6} \cdot 43 \cdot 83^{2}$ 9.1.1573557824.1 $S_3\wr S_3$ $1$ $0$
6.19921763.18t319.a.a $6$ $ 59^{3} \cdot 97 $ 9.1.1175384017.1 $S_3\wr S_3$ $1$ $0$
6.19921763.9t31.a.a $6$ $ 59^{3} \cdot 97 $ 9.1.1175384017.1 $S_3\wr S_3$ $1$ $0$
6.19961856.9t31.a.a $6$ $ 2^{11} \cdot 3^{3} \cdot 19^{2}$ 9.1.3034202112.1 $S_3\wr S_3$ $1$ $0$
6.20891648.9t31.a.a $6$ $ 2^{11} \cdot 101^{2}$ 9.1.16880451584.2 $S_3\wr S_3$ $1$ $0$
6.21240000.9t31.a.a $6$ $ 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 59 $ 9.1.6372000000.1 $S_3\wr S_3$ $1$ $0$
6.23727600.9t31.a.a $6$ $ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3}$ 9.1.18507528000.1 $S_3\wr S_3$ $1$ $0$
6.23905728.9t31.a.a $6$ $ 2^{6} \cdot 3^{2} \cdot 7^{3} \cdot 11^{2}$ 9.1.5522223168.1 $S_3\wr S_3$ $1$ $0$
6.23936704.18t319.a.a $6$ $ 2^{6} \cdot 11^{3} \cdot 281 $ 9.1.1053214976.1 $S_3\wr S_3$ $1$ $0$
6.23936704.9t31.a.a $6$ $ 2^{6} \cdot 11^{3} \cdot 281 $ 9.1.1053214976.1 $S_3\wr S_3$ $1$ $0$
6.24196800.9t31.a.a $6$ $ 2^{6} \cdot 3 \cdot 5^{2} \cdot 71^{2}$ 9.1.34359456000.1 $S_3\wr S_3$ $1$ $0$
6.25719552.9t31.a.a $6$ $ 2^{8} \cdot 3^{3} \cdot 61^{2}$ 9.1.37653424128.1 $S_3\wr S_3$ $1$ $0$
6.26427072.9t31.a.a $6$ $ 2^{6} \cdot 3 \cdot 7^{2} \cdot 53^{2}$ 9.1.39217774848.1 $S_3\wr S_3$ $1$ $0$
6.28256283.18t311.a.a $6$ $ 3^{5} \cdot 11^{2} \cdot 31^{2}$ 9.1.875944773.1 $S_3\wr S_3$ $1$ $0$
6.28256283.9t31.a.a $6$ $ 3^{5} \cdot 11^{2} \cdot 31^{2}$ 9.1.875944773.1 $S_3\wr S_3$ $1$ $0$
6.29593600.9t31.a.a $6$ $ 2^{12} \cdot 5^{2} \cdot 17^{2}$ 9.1.20123648000.1 $S_3\wr S_3$ $1$ $0$
6.29719872.9t31.a.a $6$ $ 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13 $ 9.5.22468223232.1 $S_3\wr S_3$ $1$ $2$
6.29984768.9t31.a.a $6$ $ 2^{11} \cdot 11^{4}$ 9.1.1319329792.1 $S_3\wr S_3$ $1$ $0$
6.30371328.9t31.a.a $6$ $ 2^{9} \cdot 3^{3} \cdot 13^{3}$ 9.1.3158618112.1 $S_3\wr S_3$ $1$ $0$
6.31360000.9t31.a.a $6$ $ 2^{10} \cdot 5^{4} \cdot 7^{2}$ 9.1.4390400000.1 $S_3\wr S_3$ $1$ $0$
6.32729427.9t31.a.a $6$ $ 3^{5} \cdot 367^{2}$ 9.3.36035099127.1 $S_3\wr S_3$ $1$ $0$
6.35426304.9t31.a.a $6$ $ 2^{12} \cdot 3^{2} \cdot 31^{2}$ 9.1.26357170176.1 $S_3\wr S_3$ $1$ $0$
6.37760000.9t31.a.a $6$ $ 2^{10} \cdot 5^{4} \cdot 59 $ 9.1.7552000000.1 $S_3\wr S_3$ $1$ $0$
6.38021875.18t300.a.a $6$ $ 5^{5} \cdot 23^{3}$ 9.1.874503125.1 $S_3\wr S_3$ $1$ $0$
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