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 (22 matches)

Download displayed columns for results to

Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
256.507.1a	$1$	R		$1$	$\Q$	256.507.1a	$(C_4\times C_8).D_4$	$C_1$	$1$	1.a1.a1	$256$	1.a1.a1	$256$	$1$	$1$
256.507.1b	$1$	R		$1$	$\Q$	256.507.1b	$(C_4\times C_8).D_4$	$C_2$	$2$	2.c1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1c	$1$	R		$1$	$\Q$	256.507.1c	$(C_4\times C_8).D_4$	$C_2$	$2$	2.b1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1d	$1$	R		$1$	$\Q$	256.507.1d	$(C_4\times C_8).D_4$	$C_2$	$2$	2.a1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	256.507.1e	$(C_4\times C_8).D_4$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	256.507.1e	$(C_4\times C_8).D_4$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	256.507.1f	$(C_4\times C_8).D_4$	$C_4$	$4$	4.a1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	256.507.1f	$(C_4\times C_8).D_4$	$C_4$	$4$	4.a1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.2a	$2$	R		$1$	$\Q$	256.507.2a	$(C_4\times C_8).D_4$	$D_4$	$8$	8.c1.a1	$32$	4.b1.a1	$64$	$4$	$1$
256.507.2b	$2$	R		$1$	$\Q$	256.507.2b	$(C_4\times C_8).D_4$	$D_4$	$8$	8.a1.a1	$32$	4.b1.a1	$64$	$4$	$1$
256.507.4a	$4$	R		$1$	$\Q$	256.507.4a	$(C_4\times C_8).D_4$	$C_2^3:C_4$	$32$	32.a1.a1	$8$	16.a1.a1	$16$	$16$	$1$
256.507.4b	$4$	R		$1$	$\Q$	256.507.4b	$(C_4\times C_8).D_4$	$C_2\wr C_4$	$64$	64.a1.a1	$4$	32.a1.a1	$8$	$32$	$1$
256.507.4c	$4$	R		$1$	$\Q$	256.507.4c	$(C_4\times C_8).D_4$	$C_2\wr C_4$	$64$	64.a1.a1	$4$	32.a1.a1	$8$	$32$	$1$
256.507.4d1	$4$	C		$8$	$\Q(\sqrt{-2}) $	256.507.4d	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4d2	$4$	C		$8$	$\Q(\sqrt{-2}) $	256.507.4d	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4e1	$4$	R		$8$	$\Q(\sqrt{2}) $	256.507.4e	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4e2	$4$	R		$8$	$\Q(\sqrt{2}) $	256.507.4e	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4f1	$4$	C	✓	$8$	$\Q(\zeta_{8})$	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f2	$4$	C	✓	$8$	$\Q(\zeta_{8})$	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f3	$4$	C	✓	$8$	$\Q(\zeta_{8})$	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f4	$4$	C	✓	$8$	$\Q(\zeta_{8})$	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.8a	$8$	R	✓	$1$	$\Q$	256.507.8a	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$

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 (22 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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
256.507.1a	$1$	R		$1$	\(\Q\)	256.507.1a	$(C_4\times C_8).D_4$	$C_1$	$1$	1.a1.a1	$256$	1.a1.a1	$256$	$1$	$1$
256.507.1b	$1$	R		$1$	\(\Q\)	256.507.1b	$(C_4\times C_8).D_4$	$C_2$	$2$	2.c1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1c	$1$	R		$1$	\(\Q\)	256.507.1c	$(C_4\times C_8).D_4$	$C_2$	$2$	2.b1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1d	$1$	R		$1$	\(\Q\)	256.507.1d	$(C_4\times C_8).D_4$	$C_2$	$2$	2.a1.a1	$128$	1.a1.a1	$256$	$1$	$1$
256.507.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	256.507.1e	$(C_4\times C_8).D_4$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	256.507.1e	$(C_4\times C_8).D_4$	$C_4$	$4$	4.c1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	256.507.1f	$(C_4\times C_8).D_4$	$C_4$	$4$	4.a1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	256.507.1f	$(C_4\times C_8).D_4$	$C_4$	$4$	4.a1.a1	$64$	1.a1.a1	$256$	$1$	$1$
256.507.2a	$2$	R		$1$	\(\Q\)	256.507.2a	$(C_4\times C_8).D_4$	$D_4$	$8$	8.c1.a1	$32$	4.b1.a1	$64$	$4$	$1$
256.507.2b	$2$	R		$1$	\(\Q\)	256.507.2b	$(C_4\times C_8).D_4$	$D_4$	$8$	8.a1.a1	$32$	4.b1.a1	$64$	$4$	$1$
256.507.4a	$4$	R		$1$	\(\Q\)	256.507.4a	$(C_4\times C_8).D_4$	$C_2^3:C_4$	$32$	32.a1.a1	$8$	16.a1.a1	$16$	$16$	$1$
256.507.4b	$4$	R		$1$	\(\Q\)	256.507.4b	$(C_4\times C_8).D_4$	$C_2\wr C_4$	$64$	64.a1.a1	$4$	32.a1.a1	$8$	$32$	$1$
256.507.4c	$4$	R		$1$	\(\Q\)	256.507.4c	$(C_4\times C_8).D_4$	$C_2\wr C_4$	$64$	64.a1.a1	$4$	32.a1.a1	$8$	$32$	$1$
256.507.4d1	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	256.507.4d	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4d2	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	256.507.4d	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4e1	$4$	R		$8$	\(\Q(\sqrt{2}) \)	256.507.4e	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4e2	$4$	R		$8$	\(\Q(\sqrt{2}) \)	256.507.4e	$(C_4\times C_8).D_4$	$C_4^2.D_4$	$128$	128.a1.a1	$2$	64.a1.a1	$4$	$64$	$1$
256.507.4f1	$4$	C	✓	$8$	\(\Q(\zeta_{8})\)	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f2	$4$	C	✓	$8$	\(\Q(\zeta_{8})\)	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f3	$4$	C	✓	$8$	\(\Q(\zeta_{8})\)	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.4f4	$4$	C	✓	$8$	\(\Q(\zeta_{8})\)	256.507.4f	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$
256.507.8a	$8$	R	✓	$1$	\(\Q\)	256.507.8a	$(C_4\times C_8).D_4$	$(C_4\times C_8).D_4$	$256$	256.a1.a1	$1$	128.a1.a1	$2$	$128$	$1$