LMFDB - Complex character search results

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Results (36 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
576.5410.1a	$1$	R		$1$	$\Q$	576.5410.1a	$C_2^3.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$576$	1.a1.a1	$576$	$1$	$1$
576.5410.1b	$1$	R		$1$	$\Q$	576.5410.1b	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.e1.b1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1c	$1$	R		$1$	$\Q$	576.5410.1c	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.d1.b1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1d	$1$	R		$1$	$\Q$	576.5410.1d	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.e1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1e	$1$	R		$1$	$\Q$	576.5410.1e	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.d1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1f	$1$	R		$1$	$\Q$	576.5410.1f	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1g	$1$	R		$1$	$\Q$	576.5410.1g	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1h	$1$	R		$1$	$\Q$	576.5410.1h	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.2a	$2$	R		$1$	$\Q$	576.5410.2a	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.e1.b1	$72$	4.b1.a1	$144$	$4$	$1$
576.5410.2b	$2$	R		$1$	$\Q$	576.5410.2b	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.e1.a1	$72$	4.b1.b1	$144$	$4$	$1$
576.5410.2c	$2$	R		$1$	$\Q$	576.5410.2c	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.d1.b1	$72$	4.b1.b1	$144$	$4$	$1$
576.5410.2d	$2$	R		$1$	$\Q$	576.5410.2d	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.d1.a1	$72$	4.b1.a1	$144$	$4$	$1$
576.5410.2e	$2$	R		$1$	$\Q$	576.5410.2e	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.b1.a1	$72$	4.a1.a1	$144$	$4$	$1$
576.5410.2f	$2$	R		$1$	$\Q$	576.5410.2f	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.a1.a1	$72$	4.a1.a1	$144$	$4$	$1$
576.5410.4a	$4$	R		$1$	$\Q$	576.5410.4a	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4b	$4$	R		$1$	$\Q$	576.5410.4b	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4c	$4$	R		$1$	$\Q$	576.5410.4c	$C_2^3.\SOPlus(4,2)$	$D_4:D_4$	$64$	64.a1.a1	$9$	32.a1.a1	$18$	$32$	$1$
576.5410.4d	$4$	R		$1$	$\Q$	576.5410.4d	$C_2^3.\SOPlus(4,2)$	$D_4:D_4$	$64$	64.a1.a1	$9$	32.a1.a1	$18$	$32$	$1$
576.5410.4e	$4$	R		$1$	$\Q$	576.5410.4e	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4f	$4$	R		$1$	$\Q$	576.5410.4f	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4g	$4$	R		$1$	$\Q$	576.5410.4g	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4h	$4$	R		$1$	$\Q$	576.5410.4h	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4i	$4$	R		$1$	$\Q$	576.5410.4i	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4j	$4$	R		$1$	$\Q$	576.5410.4j	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4k	$4$	R		$1$	$\Q$	576.5410.4k	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4l	$4$	R		$1$	$\Q$	576.5410.4l	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4m	$4$	R		$1$	$\Q$	576.5410.4m	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4n	$4$	R		$1$	$\Q$	576.5410.4n	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4o1	$4$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.4o	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4o2	$4$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.4o	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4p1	$4$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.4p	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4p2	$4$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.4p	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8a	$8$	R		$1$	$\Q$	576.5410.8a	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.8b	$8$	R	✓	$1$	$\Q$	576.5410.8b	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8c1	$8$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.8c	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8c2	$8$	C	✓	$3$	$\Q(\sqrt{-3}) $	576.5410.8c	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$

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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

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Results (36 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
576.5410.1a	$1$	R		$1$	\(\Q\)	576.5410.1a	$C_2^3.\SOPlus(4,2)$	$C_1$	$1$	1.a1.a1	$576$	1.a1.a1	$576$	$1$	$1$
576.5410.1b	$1$	R		$1$	\(\Q\)	576.5410.1b	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.e1.b1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1c	$1$	R		$1$	\(\Q\)	576.5410.1c	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.d1.b1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1d	$1$	R		$1$	\(\Q\)	576.5410.1d	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.e1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1e	$1$	R		$1$	\(\Q\)	576.5410.1e	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.d1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1f	$1$	R		$1$	\(\Q\)	576.5410.1f	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.c1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1g	$1$	R		$1$	\(\Q\)	576.5410.1g	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.b1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.1h	$1$	R		$1$	\(\Q\)	576.5410.1h	$C_2^3.\SOPlus(4,2)$	$C_2$	$2$	2.a1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5410.2a	$2$	R		$1$	\(\Q\)	576.5410.2a	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.e1.b1	$72$	4.b1.a1	$144$	$4$	$1$
576.5410.2b	$2$	R		$1$	\(\Q\)	576.5410.2b	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.e1.a1	$72$	4.b1.b1	$144$	$4$	$1$
576.5410.2c	$2$	R		$1$	\(\Q\)	576.5410.2c	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.d1.b1	$72$	4.b1.b1	$144$	$4$	$1$
576.5410.2d	$2$	R		$1$	\(\Q\)	576.5410.2d	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.d1.a1	$72$	4.b1.a1	$144$	$4$	$1$
576.5410.2e	$2$	R		$1$	\(\Q\)	576.5410.2e	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.b1.a1	$72$	4.a1.a1	$144$	$4$	$1$
576.5410.2f	$2$	R		$1$	\(\Q\)	576.5410.2f	$C_2^3.\SOPlus(4,2)$	$D_4$	$8$	8.a1.a1	$72$	4.a1.a1	$144$	$4$	$1$
576.5410.4a	$4$	R		$1$	\(\Q\)	576.5410.4a	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4b	$4$	R		$1$	\(\Q\)	576.5410.4b	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4c	$4$	R		$1$	\(\Q\)	576.5410.4c	$C_2^3.\SOPlus(4,2)$	$D_4:D_4$	$64$	64.a1.a1	$9$	32.a1.a1	$18$	$32$	$1$
576.5410.4d	$4$	R		$1$	\(\Q\)	576.5410.4d	$C_2^3.\SOPlus(4,2)$	$D_4:D_4$	$64$	64.a1.a1	$9$	32.a1.a1	$18$	$32$	$1$
576.5410.4e	$4$	R		$1$	\(\Q\)	576.5410.4e	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4f	$4$	R		$1$	\(\Q\)	576.5410.4f	$C_2^3.\SOPlus(4,2)$	$\SOPlus(4,2)$	$72$	72.a1.a1	$8$	72.a1.a1	$8$	$72$	$1$
576.5410.4g	$4$	R		$1$	\(\Q\)	576.5410.4g	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4h	$4$	R		$1$	\(\Q\)	576.5410.4h	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4i	$4$	R		$1$	\(\Q\)	576.5410.4i	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4j	$4$	R		$1$	\(\Q\)	576.5410.4j	$C_2^3.\SOPlus(4,2)$	$S_3^2:C_2^2$	$144$	144.a1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5410.4k	$4$	R		$1$	\(\Q\)	576.5410.4k	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4l	$4$	R		$1$	\(\Q\)	576.5410.4l	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4m	$4$	R		$1$	\(\Q\)	576.5410.4m	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4n	$4$	R		$1$	\(\Q\)	576.5410.4n	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.4o1	$4$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.4o	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4o2	$4$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.4o	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4p1	$4$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.4p	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.4p2	$4$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.4p	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8a	$8$	R		$1$	\(\Q\)	576.5410.8a	$C_2^3.\SOPlus(4,2)$	$D_6\wr C_2$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5410.8b	$8$	R	✓	$1$	\(\Q\)	576.5410.8b	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8c1	$8$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.8c	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$
576.5410.8c2	$8$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	576.5410.8c	$C_2^3.\SOPlus(4,2)$	$C_2^3.\SOPlus(4,2)$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$1$