Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
6.3136589568.42t82.a.a |
$6$ |
$ 2^{8} \cdot 3^{6} \cdot 7^{5}$ |
$3$ |
8.2.153692888832.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.32941720000.42t82.a.a |
$6$ |
$ 2^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.32941720000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.191442234375.42t82.a.a |
$6$ |
$ 3^{6} \cdot 5^{6} \cdot 7^{5}$ |
$3$ |
8.2.9380669484375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.205885750000.42t82.a.a |
$6$ |
$ 2^{4} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.205885750000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.345808999872.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{8} \cdot 7^{7}$ |
$3$ |
8.2.345808999872.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.375226779375.42t82.a.a |
$6$ |
$ 3^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.375226779375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.145...623.42t82.a.a |
$6$ |
$ 7^{7} \cdot 11^{6}$ |
$2$ |
8.2.1458956660623.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.245...312.42t82.a.a |
$6$ |
$ 2^{12} \cdot 3^{6} \cdot 7^{7}$ |
$3$ |
8.2.2459086221312.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.329...000.42t82.a.a |
$6$ |
$ 2^{8} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.3294172000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.620...048.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.6200896666048.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.198...967.42t82.a.a |
$6$ |
$ 7^{7} \cdot 17^{6}$ |
$2$ |
8.2.19878325986967.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.233...968.42t82.a.a |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.23343306569968.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.248...192.42t82.a.a |
$6$ |
$ 2^{8} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.248...192.42t82.b.a |
$6$ |
$ 2^{8} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.387...383.42t82.a.a |
$6$ |
$ 7^{7} \cdot 19^{6}$ |
$2$ |
8.2.38744305976383.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.398...768.42t82.a.a |
$6$ |
$ 2^{4} \cdot 7^{5} \cdot 23^{6}$ |
$3$ |
8.2.39808626982768.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.636...592.42t82.a.a |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.63601356228592.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.667...000.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{7}$ |
$4$ |
8.2.66706983000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.706...703.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{13}$ |
$2$ |
8.2.70632088586703.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.106...543.42t82.a.a |
$6$ |
$ 7^{5} \cdot 43^{6}$ |
$2$ |
8.2.5205914289462607.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.118...463.42t82.a.a |
$6$ |
$ 3^{4} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.118175489510463.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.254...368.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.254405424914368.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.295...407.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{5} \cdot 17^{6}$ |
$3$ |
8.2.295740809071407.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.312...352.42t82.a.a |
$6$ |
$ 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 19^{3}$ |
$4$ |
8.8.312349488740352.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$6$ |
6.373...488.42t82.a.a |
$6$ |
$ 2^{8} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.373492905119488.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.465...375.42t82.a.a |
$6$ |
$ 5^{6} \cdot 7^{5} \cdot 11^{6}$ |
$3$ |
8.2.22796197822234375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.576...943.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{5} \cdot 19^{6}$ |
$3$ |
8.2.28244599056783207.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.600...000.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7}$ |
$4$ |
8.2.600362847000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.619...128.42t82.a.a |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.619908895622128.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.954...288.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{5} \cdot 31^{6}$ |
$3$ |
8.2.46777436413554112.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.106...167.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.1063579405594167.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.113...248.42t82.a.a |
$6$ |
$ 2^{4} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.1130113417387248.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.113...248.42t82.b.a |
$6$ |
$ 2^{4} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.1130113417387248.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.126...375.42t82.a.a |
$6$ |
$ 5^{6} \cdot 7^{5} \cdot 13^{6}$ |
$3$ |
8.2.1267565294734375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.127...888.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 17^{6}$ |
$3$ |
8.2.1272212863165888.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.138...912.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 11^{6}$ |
$4$ |
8.2.1389164937918912.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.151...375.42t82.a.a |
$6$ |
$ 5^{6} \cdot 7^{13}$ |
$2$ |
8.2.1513890787609375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.195...632.42t82.a.a |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 23^{6}$ |
$3$ |
8.2.1950622722155632.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.211...087.42t82.a.a |
$6$ |
$ 7^{7} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.211...087.42t82.b.a |
$6$ |
$ 7^{7} \cdot 37^{6}$ |
$2$ |
8.2.2112986024047087.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.247...512.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.247...512.42t82.b.a |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.2479635582488512.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.289...223.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.2897836793165223.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.378...128.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 13^{6}$ |
$4$ |
8.2.3784929689032128.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.452...992.42t82.a.a |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{13}$ |
$3$ |
8.2.4520453669548992.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.780...528.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 23^{6}$ |
$3$ |
8.2.7802490888622528.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.835...527.42t82.a.a |
$6$ |
$ 7^{5} \cdot 89^{6}$ |
$2$ |
8.2.8352764557181527.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.115...192.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{5} \cdot 47^{6}$ |
$3$ |
8.2.568137429100201408.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.182...047.42t82.a.a |
$6$ |
$ 7^{7} \cdot 53^{6}$ |
$2$ |
8.2.18253304457260047.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.282...207.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{7} \cdot 19^{6}$ |
$3$ |
8.2.28244599056783207.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |