LMFDB - Complex character search results

Refine search

Degree	Type	Faithful	Conductor

Group	Image	Image Order (Kernel Index)	Kernel Order

Center Order	Center Index

		Sort order	Select

Results (1-50 of 111 matches)

Next Download displayed columns for results to

Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
672.974.1a	$1$	R	$1$	$\Q$	672.974.1a	$C_4.D_{84}$	$C_1$	$1$	1.a1.a1	$672$	1.a1.a1	$672$	$1$	$1$
672.974.1b	$1$	R	$1$	$\Q$	672.974.1b	$C_4.D_{84}$	$C_2$	$2$	2.e1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1c	$1$	R	$1$	$\Q$	672.974.1c	$C_4.D_{84}$	$C_2$	$2$	2.e1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1d	$1$	R	$1$	$\Q$	672.974.1d	$C_4.D_{84}$	$C_2$	$2$	2.d1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1e	$1$	R	$1$	$\Q$	672.974.1e	$C_4.D_{84}$	$C_2$	$2$	2.d1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1f	$1$	R	$1$	$\Q$	672.974.1f	$C_4.D_{84}$	$C_2$	$2$	2.c1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1g	$1$	R	$1$	$\Q$	672.974.1g	$C_4.D_{84}$	$C_2$	$2$	2.b1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1h	$1$	R	$1$	$\Q$	672.974.1h	$C_4.D_{84}$	$C_2$	$2$	2.a1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.2a	$2$	R	$1$	$\Q$	672.974.2a	$C_4.D_{84}$	$S_3$	$6$	6.a1.a1	$112$	6.a1.a1	$112$	$6$	$1$
672.974.2b	$2$	R	$1$	$\Q$	672.974.2b	$C_4.D_{84}$	$D_4$	$8$	8.b1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.974.2c	$2$	R	$1$	$\Q$	672.974.2c	$C_4.D_{84}$	$D_4$	$8$	8.a1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.974.2d	$2$	R	$1$	$\Q$	672.974.2d	$C_4.D_{84}$	$D_6$	$12$	12.b1.b1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2e	$2$	R	$1$	$\Q$	672.974.2e	$C_4.D_{84}$	$D_6$	$12$	12.b1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2f	$2$	R	$1$	$\Q$	672.974.2f	$C_4.D_{84}$	$D_6$	$12$	12.a1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2g1	$2$	R	$12$	$\Q(\sqrt{3}) $	672.974.2g	$C_4.D_{84}$	$D_{12}$	$24$	24.b1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2g2	$2$	R	$12$	$\Q(\sqrt{3}) $	672.974.2g	$C_4.D_{84}$	$D_{12}$	$24$	24.b1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2h1	$2$	R	$12$	$\Q(\sqrt{3}) $	672.974.2h	$C_4.D_{84}$	$D_{12}$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2h2	$2$	R	$12$	$\Q(\sqrt{3}) $	672.974.2h	$C_4.D_{84}$	$D_{12}$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2i1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2i2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2i3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2j1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2j2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2j3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2m1	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m2	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m3	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m4	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m5	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m6	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2n1	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n2	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n3	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n4	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n5	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n6	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o1	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o2	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o3	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o4	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o5	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o6	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2p1	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2p	$C_4.D_{84}$	$D_{42}$	$84$	84.b1.b1	$8$	42.a1.a1	$16$	$42$	$1$
672.974.2p2	$2$	R	$21$	$\Q(\zeta_{21})^+$	672.974.2p	$C_4.D_{84}$	$D_{42}$	$84$	84.b1.b1	$8$	42.a1.a1	$16$	$42$	$1$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 111 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
672.974.1a	$1$	R	$1$	\(\Q\)	672.974.1a	$C_4.D_{84}$	$C_1$	$1$	1.a1.a1	$672$	1.a1.a1	$672$	$1$	$1$
672.974.1b	$1$	R	$1$	\(\Q\)	672.974.1b	$C_4.D_{84}$	$C_2$	$2$	2.e1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1c	$1$	R	$1$	\(\Q\)	672.974.1c	$C_4.D_{84}$	$C_2$	$2$	2.e1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1d	$1$	R	$1$	\(\Q\)	672.974.1d	$C_4.D_{84}$	$C_2$	$2$	2.d1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1e	$1$	R	$1$	\(\Q\)	672.974.1e	$C_4.D_{84}$	$C_2$	$2$	2.d1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1f	$1$	R	$1$	\(\Q\)	672.974.1f	$C_4.D_{84}$	$C_2$	$2$	2.c1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1g	$1$	R	$1$	\(\Q\)	672.974.1g	$C_4.D_{84}$	$C_2$	$2$	2.b1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.1h	$1$	R	$1$	\(\Q\)	672.974.1h	$C_4.D_{84}$	$C_2$	$2$	2.a1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.974.2a	$2$	R	$1$	\(\Q\)	672.974.2a	$C_4.D_{84}$	$S_3$	$6$	6.a1.a1	$112$	6.a1.a1	$112$	$6$	$1$
672.974.2b	$2$	R	$1$	\(\Q\)	672.974.2b	$C_4.D_{84}$	$D_4$	$8$	8.b1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.974.2c	$2$	R	$1$	\(\Q\)	672.974.2c	$C_4.D_{84}$	$D_4$	$8$	8.a1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.974.2d	$2$	R	$1$	\(\Q\)	672.974.2d	$C_4.D_{84}$	$D_6$	$12$	12.b1.b1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2e	$2$	R	$1$	\(\Q\)	672.974.2e	$C_4.D_{84}$	$D_6$	$12$	12.b1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2f	$2$	R	$1$	\(\Q\)	672.974.2f	$C_4.D_{84}$	$D_6$	$12$	12.a1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.974.2g1	$2$	R	$12$	\(\Q(\sqrt{3}) \)	672.974.2g	$C_4.D_{84}$	$D_{12}$	$24$	24.b1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2g2	$2$	R	$12$	\(\Q(\sqrt{3}) \)	672.974.2g	$C_4.D_{84}$	$D_{12}$	$24$	24.b1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2h1	$2$	R	$12$	\(\Q(\sqrt{3}) \)	672.974.2h	$C_4.D_{84}$	$D_{12}$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2h2	$2$	R	$12$	\(\Q(\sqrt{3}) \)	672.974.2h	$C_4.D_{84}$	$D_{12}$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.974.2i1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2i2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2i3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2i	$C_4.D_{84}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.974.2j1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2j2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2j3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2j	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2k3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2k	$C_4.D_{84}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2l3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.974.2l	$C_4.D_{84}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.974.2m1	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m2	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m3	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m4	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m5	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2m6	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2m	$C_4.D_{84}$	$D_{21}$	$42$	42.a1.a1	$16$	42.a1.a1	$16$	$42$	$1$
672.974.2n1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2n6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2n	$C_4.D_{84}$	$D_{28}$	$56$	56.b1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2o6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.974.2o	$C_4.D_{84}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.974.2p1	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2p	$C_4.D_{84}$	$D_{42}$	$84$	84.b1.b1	$8$	42.a1.a1	$16$	$42$	$1$
672.974.2p2	$2$	R	$21$	\(\Q(\zeta_{21})^+\)	672.974.2p	$C_4.D_{84}$	$D_{42}$	$84$	84.b1.b1	$8$	42.a1.a1	$16$	$42$	$1$