Galois conjugate representations are grouped into single lines.
Label |
Dimension |
Conductor |
Ramified prime count |
Artin stem field |
$G$ |
Projective image |
Container |
Ind |
$\chi(c)$ |
6.784147392.14t16.a.a 6.784147392.14t16.a.b |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{5}$ |
$3$ |
8.2.153692888832.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.3136589568.42t82.a.a |
$6$ |
$ 2^{8} \cdot 3^{6} \cdot 7^{5}$ |
$3$ |
8.2.153692888832.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.32941720000.14t16.a.a 6.32941720000.14t16.a.b |
$6$ |
$ 2^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.32941720000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.32941720000.42t82.a.a |
$6$ |
$ 2^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.32941720000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.38423222208.14t16.a.a 6.38423222208.14t16.a.b |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{7}$ |
$3$ |
8.2.2459086221312.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.38423222208.14t16.b.a 6.38423222208.14t16.b.b |
$6$ |
$ 2^{6} \cdot 3^{6} \cdot 7^{7}$ |
$3$ |
8.2.345808999872.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.191442234375.14t16.a.a 6.191442234375.14t16.a.b |
$6$ |
$ 3^{6} \cdot 5^{6} \cdot 7^{5}$ |
$3$ |
8.2.9380669484375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.191442234375.42t82.a.a |
$6$ |
$ 3^{6} \cdot 5^{6} \cdot 7^{5}$ |
$3$ |
8.2.9380669484375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.205885750000.14t16.a.a 6.205885750000.14t16.a.b |
$6$ |
$ 2^{4} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.205885750000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.205885750000.42t82.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 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.375226779375.14t16.a.a 6.375226779375.14t16.a.b |
$6$ |
$ 3^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.375226779375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.375226779375.42t82.a.a |
$6$ |
$ 3^{6} \cdot 5^{4} \cdot 7^{7}$ |
$3$ |
8.2.375226779375.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.823543000000.14t16.a.a 6.823543000000.14t16.a.b |
$6$ |
$ 2^{6} \cdot 5^{6} \cdot 7^{7}$ |
$3$ |
8.2.3294172000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.145...623.14t16.a.a 6.145...623.14t16.a.b |
$6$ |
$ 7^{7} \cdot 11^{6}$ |
$2$ |
8.2.1458956660623.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
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...048.14t16.a.a 6.620...048.14t16.a.b |
$6$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.620...048.14t16.b.a 6.620...048.14t16.b.b |
$6$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.24803586664192.2 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.620...048.14t16.c.a 6.620...048.14t16.c.b |
$6$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.6200896666048.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.620...048.42t82.a.a |
$6$ |
$ 2^{6} \cdot 7^{13}$ |
$2$ |
8.2.6200896666048.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.741...000.14t16.a.a 6.741...000.14t16.a.b |
$6$ |
$ 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7}$ |
$4$ |
8.2.66706983000000.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.131...607.14t16.a.a 6.131...607.14t16.a.b |
$6$ |
$ 3^{2} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.118175489510463.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.198...967.14t16.a.a 6.198...967.14t16.a.b |
$6$ |
$ 7^{7} \cdot 17^{6}$ |
$2$ |
8.2.19878325986967.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
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...968.14t16.a.a 6.233...968.14t16.a.b |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.23343306569968.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.233...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...383.14t16.a.a 6.387...383.14t16.a.b |
$6$ |
$ 7^{7} \cdot 19^{6}$ |
$2$ |
8.2.38744305976383.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
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...768.14t16.a.a 6.398...768.14t16.a.b |
$6$ |
$ 2^{4} \cdot 7^{5} \cdot 23^{6}$ |
$3$ |
8.2.39808626982768.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.398...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...592.14t16.a.a 6.636...592.14t16.a.b |
$6$ |
$ 2^{4} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.63601356228592.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.636...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...703.14t16.a.a 6.706...703.14t16.a.b |
$6$ |
$ 3^{6} \cdot 7^{13}$ |
$2$ |
8.2.70632088586703.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.706...703.42t82.a.a |
$6$ |
$ 3^{6} \cdot 7^{13}$ |
$2$ |
8.2.70632088586703.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.933...872.14t16.a.a 6.933...872.14t16.a.b |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 11^{6}$ |
$3$ |
8.2.373492905119488.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.106...543.14t16.a.a 6.106...543.14t16.a.b |
$6$ |
$ 7^{5} \cdot 43^{6}$ |
$2$ |
8.2.5205914289462607.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
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...368.14t16.a.a 6.254...368.14t16.a.b |
$6$ |
$ 2^{6} \cdot 7^{7} \cdot 13^{6}$ |
$3$ |
8.2.254405424914368.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.254...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...407.14t16.a.a 6.295...407.14t16.a.b |
$6$ |
$ 3^{6} \cdot 7^{5} \cdot 17^{6}$ |
$3$ |
8.2.295740809071407.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |
6.295...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...352.14t16.a.a 6.312...352.14t16.a.b |
$6$ |
$ 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 19^{3}$ |
$4$ |
8.8.312349488740352.1 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$6$ |
6.312...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 |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$\PGL(2,7)$ |
$1$ |
$0$ |