Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
7.32941720000.8t43.a.a |
$7$ |
$ 2^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.32941720000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.153692888832.8t43.a.a |
$7$ |
$ 2^{8} \cdot 3^{6} \cdot 7^{7}$ |
$3$ |
8.2.153692888832.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.205885750000.8t43.a.a |
$7$ |
$ 2^{4} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.205885750000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.345808999872.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{8} \cdot 7^{7}$ |
$3$ |
8.2.345808999872.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.375226779375.8t43.a.a |
$7$ |
$ 3^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.375226779375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.145...623.8t43.a.a |
$7$ |
$ 7^{7} \cdot 11^{6}$ |
$2$ |
8.2.1458956660623.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.245...312.8t43.a.a |
$7$ |
$ 2^{12} \cdot 3^{6} \cdot 7^{7}$ |
$3$ |
8.2.2459086221312.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.329...000.8t43.a.a |
$7$ |
$ 2^{8} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.3294172000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.620...048.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.6200896666048.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.938...375.8t43.a.a |
$7$ |
$ 3^{6} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.9380669484375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.198...967.8t43.a.a |
$7$ |
$ 7^{7} \cdot 17^{6}$ |
$2$ |
8.2.19878325986967.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.233...968.8t43.a.a |
$7$ |
$ 2^{4} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.23343306569968.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.248...192.8t43.a.a |
$7$ |
$ 2^{8} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.248...192.8t43.b.a |
$7$ |
$ 2^{8} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.387...383.8t43.a.a |
$7$ |
$ 7^{7} \cdot 19^{6}$ |
$2$ |
8.2.38744305976383.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.398...768.8t43.a.a |
$7$ |
$ 2^{4} \cdot 7^{5} \cdot 23^{6}$ |
$3$ |
8.2.39808626982768.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.636...592.8t43.a.a |
$7$ |
$ 2^{4} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.63601356228592.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.667...000.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{7}$ |
$4$ |
8.2.66706983000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.706...703.8t43.a.a |
$7$ |
$ 3^{6} \cdot 7^{13}$ |
$2$ |
8.2.70632088586703.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.118...463.8t43.a.a |
$7$ |
$ 3^{4} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.118175489510463.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.254...368.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.254405424914368.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.295...407.8t43.a.a |
$7$ |
$ 3^{6} \cdot 7^{5} \cdot 17^{6}$ |
$3$ |
8.2.295740809071407.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.312...352.8t43.a.a |
$7$ |
$ 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 19^{3}$ |
$4$ |
8.8.312349488740352.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$7$ |
7.373...488.8t43.a.a |
$7$ |
$ 2^{8} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.373492905119488.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.600...000.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7}$ |
$4$ |
8.2.600362847000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.619...128.8t43.a.a |
$7$ |
$ 2^{4} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.619908895622128.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.106...167.8t43.a.a |
$7$ |
$ 3^{6} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.1063579405594167.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.113...248.8t43.a.a |
$7$ |
$ 2^{4} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.1130113417387248.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.113...248.8t43.b.a |
$7$ |
$ 2^{4} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.1130113417387248.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.126...375.8t43.a.a |
$7$ |
$ 5^{6} \cdot 7^{5} \cdot 13^{6}$ |
$3$ |
8.2.1267565294734375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.127...888.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 17^{6}$ |
$3$ |
8.2.1272212863165888.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.138...912.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 11^{6}$ |
$4$ |
8.2.1389164937918912.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.151...375.8t43.a.a |
$7$ |
$ 5^{6} \cdot 7^{13}$ |
$2$ |
8.2.1513890787609375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.195...632.8t43.a.a |
$7$ |
$ 2^{4} \cdot 7^{7} \cdot 23^{6}$ |
$3$ |
8.2.1950622722155632.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.211...087.8t43.a.a |
$7$ |
$ 7^{7} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.211...087.8t43.b.a |
$7$ |
$ 7^{7} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.247...512.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.247...512.8t43.b.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.289...223.8t43.a.a |
$7$ |
$ 3^{6} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.2897836793165223.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.378...128.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 13^{6}$ |
$4$ |
8.2.3784929689032128.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.452...992.8t43.a.a |
$7$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.4520453669548992.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.520...607.8t43.a.a |
$7$ |
$ 7^{7} \cdot 43^{6}$ |
$2$ |
8.2.5205914289462607.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.780...528.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 23^{6}$ |
$3$ |
8.2.7802490888622528.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.835...527.8t43.a.a |
$7$ |
$ 7^{5} \cdot 89^{6}$ |
$2$ |
8.2.8352764557181527.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.182...047.8t43.a.a |
$7$ |
$ 7^{7} \cdot 53^{6}$ |
$2$ |
8.2.18253304457260047.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.227...375.8t43.a.a |
$7$ |
$ 5^{6} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.22796197822234375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.282...207.8t43.a.a |
$7$ |
$ 3^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.28244599056783207.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.282...207.8t43.b.a |
$7$ |
$ 3^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.28244599056783207.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.282...207.8t43.c.a |
$7$ |
$ 3^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.28244599056783207.3 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |
7.313...392.8t43.a.a |
$7$ |
$ 2^{6} \cdot 7^{7} \cdot 29^{6}$ |
$3$ |
8.2.31351205263763392.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$1$ |