Galois conjugate representations are grouped into single lines.
| Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
| 6.512317872.24t576.a.a 6.512317872.24t576.a.b |
$6$ |
$ 2^{4} \cdot 3^{7} \cdot 11^{4}$ |
$3$ |
24.4.7654476884289954721505578121232384.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.854296875.24t576.a.a 6.854296875.24t576.a.b |
$6$ |
$ 3^{7} \cdot 5^{8}$ |
$2$ |
24.4.59182425689161755144596099853515625.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.1109503312.24t702.a.a 6.1109503312.24t702.a.b |
$6$ |
$ 2^{4} \cdot 37^{5}$ |
$2$ |
8.0.41051622544.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$-2$ |
| 6.1848020848.24t576.a.a 6.1848020848.24t576.a.b |
$6$ |
$ 2^{4} \cdot 487^{3}$ |
$2$ |
24.4.49177850545349555386638457176064.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.2019740427.24t576.a.a 6.2019740427.24t576.a.b |
$6$ |
$ 3^{7} \cdot 31^{4}$ |
$2$ |
24.4.1849011975905576084365604258846838249.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.2151844375.24t576.a.a 6.2151844375.24t576.a.b |
$6$ |
$ 5^{4} \cdot 151^{3}$ |
$2$ |
24.4.940350029043078386535797119140625.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.2191925124.36t1131.a.a 6.2191925124.36t1131.a.b |
$6$ |
$ 2^{2} \cdot 3^{8} \cdot 17^{4}$ |
$3$ |
9.3.1900399082508.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.2222131968.24t702.a.a 6.2222131968.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{11} \cdot 7^{2}$ |
$3$ |
8.0.740710656.3 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.2593609227.24t576.a.a 6.2593609227.24t576.a.b |
$6$ |
$ 3^{11} \cdot 11^{4}$ |
$2$ |
24.4.5027772992538131164539845601324380649.4 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.2593609227.24t576.c.a 6.2593609227.24t576.c.b |
$6$ |
$ 3^{11} \cdot 11^{4}$ |
$2$ |
24.4.5027772992538131164539845601324380649.3 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.3749847696.24t702.a.a 6.3749847696.24t702.a.b |
$6$ |
$ 2^{4} \cdot 3^{14} \cdot 7^{2}$ |
$3$ |
8.0.416649744.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.5068283248.24t576.a.a 6.5068283248.24t576.a.b |
$6$ |
$ 2^{4} \cdot 7^{3} \cdot 31^{4}$ |
$3$ |
24.4.13466273542563002610422963487818973184.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.6777036016.24t576.a.a 6.6777036016.24t576.a.b |
$6$ |
$ 2^{4} \cdot 751^{3}$ |
$2$ |
24.4.3740066297213363461879419371585536.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.6978720496.24t576.a.a 6.6978720496.24t576.a.b |
$6$ |
$ 2^{4} \cdot 11^{4} \cdot 31^{3}$ |
$3$ |
24.4.2468197064724329605212896302265860096.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.7476917787.24t576.a.a 6.7476917787.24t576.a.b |
$6$ |
$ 3^{7} \cdot 43^{4}$ |
$2$ |
24.4.347254523671797202783944893935953129129.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.8037507123.36t1131.a.a 6.8037507123.36t1131.a.b |
$6$ |
$ 3^{8} \cdot 107^{3}$ |
$2$ |
9.5.24112521369.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.9037905787.24t576.a.a 6.9037905787.24t576.a.b |
$6$ |
$ 2083^{3}$ |
$1$ |
24.4.1537774657557415544813485393913449.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.9236754432.36t1131.a.a 6.9236754432.36t1131.a.b |
$6$ |
$ 2^{12} \cdot 3^{3} \cdot 17^{4}$ |
$3$ |
9.3.166838876928.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.9375395625.36t1131.a.a 6.9375395625.36t1131.a.b |
$6$ |
$ 3^{7} \cdot 5^{4} \cdot 19^{3}$ |
$3$ |
9.5.234384890625.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.9409768704.24t702.a.a 6.9409768704.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{7} \cdot 7^{5}$ |
$3$ |
8.0.197605142784.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$-2$ |
| 6.9731760896.24t702.a.a 6.9731760896.24t702.a.b |
$6$ |
$ 2^{8} \cdot 11^{3} \cdot 13^{4}$ |
$3$ |
8.0.107049369856.3 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.10366430004.36t1131.a.a 6.10366430004.36t1131.a.b |
$6$ |
$ 2^{2} \cdot 3^{3} \cdot 7^{3} \cdot 23^{4}$ |
$4$ |
9.5.5483841472116.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.10372320000.24t702.a.a 6.10372320000.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4}$ |
$4$ |
8.0.31116960000.18 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.10756480000.24t702.a.a 6.10756480000.24t702.a.b |
$6$ |
$ 2^{10} \cdot 5^{4} \cdot 7^{5}$ |
$3$ |
8.0.75295360000.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.10898923248.36t1131.a.a 6.10898923248.36t1131.a.b |
$6$ |
$ 2^{4} \cdot 3^{8} \cdot 47^{3}$ |
$3$ |
9.5.130787078976.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.11165825648.24t576.a.a 6.11165825648.24t576.a.b |
$6$ |
$ 2^{4} \cdot 887^{3}$ |
$2$ |
24.4.19756778413055716819205133752664064.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.11609505792.24t702.a.a 6.11609505792.24t702.a.b |
$6$ |
$ 2^{16} \cdot 3^{11}$ |
$2$ |
8.0.3869835264.2 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.12418424944.24t576.a.a 6.12418424944.24t576.a.b |
$6$ |
$ 2^{4} \cdot 919^{3}$ |
$2$ |
24.4.28160155230249564602493220867342336.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.12800000000.24t576.a.a 6.12800000000.24t576.a.b |
$6$ |
$ 2^{15} \cdot 5^{8}$ |
$2$ |
24.4.6553600000000000000000000000000000000.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.13668750000.24t576.a.a 6.13668750000.24t576.a.b |
$6$ |
$ 2^{4} \cdot 3^{7} \cdot 5^{8}$ |
$3$ |
24.4.3878579449964904785156250000000000000000.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.15507776368.24t576.a.a 6.15507776368.24t576.a.b |
$6$ |
$ 2^{4} \cdot 7^{3} \cdot 41^{4}$ |
$3$ |
24.4.1180326175284613564014204847928286183424.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.15554923776.24t702.a.a 6.15554923776.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{11} \cdot 7^{3}$ |
$3$ |
8.0.36294822144.4 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$-2$ |
| 6.17006112000.24t702.a.a 6.17006112000.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{12} \cdot 5^{3}$ |
$3$ |
8.0.1049760000.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$-2$ |
| 6.18525115449.36t1131.a.a 6.18525115449.36t1131.a.b |
$6$ |
$ 3^{6} \cdot 71^{4}$ |
$2$ |
9.3.280155320935227.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.19381894699.24t576.a.a 6.19381894699.24t576.a.b |
$6$ |
$ 19^{3} \cdot 41^{4}$ |
$2$ |
24.4.390910843070920172128037450089987282441.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.19591041024.24t702.a.a 6.19591041024.24t702.a.b |
$6$ |
$ 2^{12} \cdot 3^{14}$ |
$2$ |
8.0.2176782336.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.19836487243.24t576.a.a 6.19836487243.24t576.a.b |
$6$ |
$ 2707^{3}$ |
$1$ |
24.4.21129175855457507738775726077914249.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.20120120064.24t702.a.a 6.20120120064.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{10} \cdot 11^{3}$ |
$3$ |
8.0.2732361984.6 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.20702317689.36t1131.a.a 6.20702317689.36t1131.a.b |
$6$ |
$ 3^{6} \cdot 73^{4}$ |
$2$ |
9.3.330967952894043.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.21956126976.36t1131.a.a 6.21956126976.36t1131.a.b |
$6$ |
$ 2^{8} \cdot 3^{6} \cdot 7^{6}$ |
$3$ |
9.3.3227550665472.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.22674816000.36t1131.a.a 6.22674816000.36t1131.a.b |
$6$ |
$ 2^{10} \cdot 3^{11} \cdot 5^{3}$ |
$3$ |
9.5.1836660096000.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.24321160688.24t576.a.a 6.24321160688.24t576.a.b |
$6$ |
$ 2^{4} \cdot 11^{4} \cdot 47^{3}$ |
$3$ |
24.4.158395001555825533467180272429687701504.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.26436959739.36t1131.a.a 6.26436959739.36t1131.a.b |
$6$ |
$ 3^{6} \cdot 331^{3}$ |
$2$ |
9.5.79310879217.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.28343520000.24t702.a.a 6.28343520000.24t702.a.b |
$6$ |
$ 2^{8} \cdot 3^{11} \cdot 5^{4}$ |
$3$ |
8.0.9447840000.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.29335247872.36t1131.a.a 6.29335247872.36t1131.a.b |
$6$ |
$ 2^{10} \cdot 7^{3} \cdot 17^{4}$ |
$3$ |
9.5.8477886635008.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$-2$ |
| 6.29511478528.24t702.a.a 6.29511478528.24t702.a.b |
$6$ |
$ 2^{8} \cdot 7^{5} \cdot 19^{3}$ |
$3$ |
8.0.1634746624.1 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.29739515904.24t702.a.a 6.29739515904.24t702.a.b |
$6$ |
$ 2^{16} \cdot 3^{3} \cdot 7^{5}$ |
$3$ |
8.0.260112384.9 |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$A_4\wr C_2$ |
$0$ |
$0$ |
| 6.30261936128.24t576.a.a 6.30261936128.24t576.a.b |
$6$ |
$ 2^{15} \cdot 31^{4}$ |
$2$ |
24.4.204751406252581656212043048442748993536.1 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
| 6.31123310724.36t1131.a.a 6.31123310724.36t1131.a.b |
$6$ |
$ 2^{2} \cdot 3^{12} \cdot 11^{4}$ |
$3$ |
9.3.101679856135308.1 |
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ |
$C_3^3:S_4$ |
$C_3^3:S_4$ |
$0$ |
$0$ |
| 6.32315846832.24t576.a.a 6.32315846832.24t576.a.b |
$6$ |
$ 2^{4} \cdot 3^{7} \cdot 31^{4}$ |
$3$ |
24.4.121176848852947834264984240707786391486464.2 |
$\SL(2,5):C_2$ |
$A_5$ |
$\SL(2,5):C_2$ |
$0$ |
$0$ |
