Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
8.1030089025.12t213.a.a |
$8$ |
$ 5^{2} \cdot 7^{4} \cdot 131^{2}$ |
$3$ |
9.1.1967079625.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.2434731649.12t213.a.a |
$8$ |
$ 7^{4} \cdot 19^{2} \cdot 53^{2}$ |
$3$ |
9.1.7148031401.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.5671897344.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 523^{2}$ |
$3$ |
9.1.988800770304.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.7144982784.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 587^{2}$ |
$3$ |
9.1.155337218304.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.7575961600.12t213.a.a |
$8$ |
$ 2^{20} \cdot 5^{2} \cdot 17^{2}$ |
$3$ |
9.1.20123648000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.8256266496.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 631^{2}$ |
$3$ |
9.7.5209704158976.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.9069133824.12t213.a.a |
$8$ |
$ 2^{20} \cdot 3^{2} \cdot 31^{2}$ |
$3$ |
9.1.26357170176.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.11110846464.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{6} \cdot 61^{2}$ |
$3$ |
9.1.37653424128.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.11757498624.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 251^{2}$ |
$3$ |
9.1.1311614290944.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.11851370496.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 7^{2}$ |
$3$ |
9.1.186659085312.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.13210973721.12t213.a.a |
$8$ |
$ 3^{10} \cdot 11^{2} \cdot 43^{2}$ |
$3$ |
9.1.77145562593.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.13705853184.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 271^{2}$ |
$3$ |
9.3.412698468096.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.15551087616.12t213.a.a |
$8$ |
$ 2^{10} \cdot 3^{4} \cdot 433^{2}$ |
$3$ |
9.1.561135078144.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.31218649344.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 409^{2}$ |
$3$ |
9.1.1418714175744.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.31826560000.12t213.a.a |
$8$ |
$ 2^{10} \cdot 5^{4} \cdot 223^{2}$ |
$3$ |
9.5.354866144000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.37636000000.12t213.a.a |
$8$ |
$ 2^{8} \cdot 5^{6} \cdot 97^{2}$ |
$3$ |
9.5.146027680000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.44899914816.12t213.a.a |
$8$ |
$ 2^{6} \cdot 3^{10} \cdot 109^{2}$ |
$3$ |
9.1.60420873024.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.49113651456.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{12} \cdot 19^{2}$ |
$3$ |
9.1.1574706449808.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.49227184384.12t213.a.a |
$8$ |
$ 2^{8} \cdot 7^{4} \cdot 283^{2}$ |
$3$ |
9.1.31096636564.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.69325227712.9t26.a.a |
$8$ |
$ 2^{6} \cdot 13^{3} \cdot 79^{3}$ |
$3$ |
9.3.69325227712.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
8.71776839744.12t176.a.a |
$8$ |
$ 2^{6} \cdot 3^{4} \cdot 61^{4}$ |
$3$ |
9.3.9891911877312.1 |
$S_3 \wr C_3 $ |
$S_3\wr C_3$ |
$S_3\wr C_3$ |
$1$ |
$0$ |
8.72293765625.12t213.a.a |
$8$ |
$ 3^{4} \cdot 5^{6} \cdot 239^{2}$ |
$3$ |
9.1.639933703125.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.75735040000.12t213.a.a |
$8$ |
$ 2^{16} \cdot 5^{4} \cdot 43^{2}$ |
$3$ |
9.1.81415168000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.82653950016.21t14.a.a |
$8$ |
$ 2^{6} \cdot 3^{6} \cdot 11^{6}$ |
$3$ |
7.3.9183772224.1 |
$\GL(3,2)$ |
$\GL(3,2)$ |
$\PSL(2,7)$ |
$1$ |
$0$ |
8.95991530625.12t213.a.a |
$8$ |
$ 3^{12} \cdot 5^{4} \cdot 17^{2}$ |
$3$ |
9.5.132180337670625.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.98673100992.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{7} \cdot 89^{3}$ |
$3$ |
9.3.98673100992.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
8.101185065216.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{4} \cdot 47^{4}$ |
$3$ |
9.1.8278437372672.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.110239936576.12t213.a.a |
$8$ |
$ 2^{6} \cdot 7^{6} \cdot 11^{4}$ |
$3$ |
9.1.2177801196032.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.113105761344.12t213.a.a |
$8$ |
$ 2^{6} \cdot 3^{10} \cdot 173^{2}$ |
$3$ |
9.1.241571564352.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.114162766875.18t157.a.a |
$8$ |
$ 3^{7} \cdot 5^{4} \cdot 17^{4}$ |
$3$ |
9.3.114162766875.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$C_3^2:\GL(2,3)$ |
$1$ |
$-2$ |
8.114162766875.9t26.a.a |
$8$ |
$ 3^{7} \cdot 5^{4} \cdot 17^{4}$ |
$3$ |
9.3.114162766875.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
8.119738145024.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{10} \cdot 89^{2}$ |
$3$ |
9.1.131564134656.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.120731231296.12t213.a.a |
$8$ |
$ 2^{6} \cdot 13^{4} \cdot 257^{2}$ |
$3$ |
9.5.2386763572544.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.122645643264.12t213.a.a |
$8$ |
$ 2^{22} \cdot 3^{4} \cdot 19^{2}$ |
$3$ |
9.1.3034202112.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.124493242896.12t213.a.a |
$8$ |
$ 2^{4} \cdot 3^{12} \cdot 11^{4}$ |
$3$ |
9.1.1626877698164928.2 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.127745014464.9t26.a.a |
$8$ |
$ 2^{6} \cdot 3^{7} \cdot 97^{3}$ |
$3$ |
9.3.127745014464.2 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$2$ |
8.131995609344.12t178.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 29^{4}$ |
$3$ |
9.1.12334256384256.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
8.142231562496.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{10} \cdot 97^{2}$ |
$3$ |
9.1.170326685952.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.144558123264.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{2} \cdot 89^{4}$ |
$3$ |
9.1.53673979423788.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.151165440000.12t178.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 5^{4}$ |
$3$ |
9.1.531441000000.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
8.151165440000.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 5^{4}$ |
$3$ |
9.1.3587226750000.2 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.151165440000.12t213.b.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 5^{4}$ |
$3$ |
9.1.2869781400.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.151803769808.9t26.a.a |
$8$ |
$ 2^{4} \cdot 29^{3} \cdot 73^{3}$ |
$3$ |
9.1.151803769808.1 |
$((C_3^2:Q_8):C_3):C_2$ |
$C_3^2:\GL(2,3)$ |
$((C_3^2:Q_8):C_3):C_2$ |
$1$ |
$0$ |
8.155450409984.12t213.a.a |
$8$ |
$ 2^{10} \cdot 3^{4} \cdot 37^{4}$ |
$3$ |
9.1.17734300939008.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.172351183104.12t178.a.a |
$8$ |
$ 2^{8} \cdot 3^{6} \cdot 31^{4}$ |
$3$ |
9.1.18403276329216.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$1$ |
$0$ |
8.186250938624.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{12} \cdot 37^{2}$ |
$3$ |
9.7.255232767744.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.193023150336.12t213.a.a |
$8$ |
$ 2^{8} \cdot 3^{10} \cdot 113^{2}$ |
$3$ |
9.1.269279209728.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.193600000000.12t213.a.a |
$8$ |
$ 2^{12} \cdot 5^{8} \cdot 11^{2}$ |
$3$ |
9.1.42592000000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.200704000000.12t213.a.a |
$8$ |
$ 2^{18} \cdot 5^{6} \cdot 7^{2}$ |
$3$ |
9.1.4390400000.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |
8.203408216064.12t213.a.a |
$8$ |
$ 2^{12} \cdot 3^{10} \cdot 29^{2}$ |
$3$ |
9.1.1137893184.1 |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$S_3\wr S_3$ |
$1$ |
$0$ |