Complex character search results

Results (33 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
576.5065.1a	$1$	R		$1$	\(\Q\)	576.5065.1a	$D_{12}:S_4$	$C_1$	$1$	1.a1.a1	$576$	1.a1.a1	$576$	$1$	$1$
576.5065.1b	$1$	R		$1$	\(\Q\)	576.5065.1b	$D_{12}:S_4$	$C_2$	$2$	2.c1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5065.1c	$1$	R		$1$	\(\Q\)	576.5065.1c	$D_{12}:S_4$	$C_2$	$2$	2.b1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5065.1d	$1$	R		$1$	\(\Q\)	576.5065.1d	$D_{12}:S_4$	$C_2$	$2$	2.a1.a1	$288$	1.a1.a1	$576$	$1$	$1$
576.5065.2a	$2$	R		$1$	\(\Q\)	576.5065.2a	$D_{12}:S_4$	$S_3$	$6$	6.b1.a1	$96$	6.b1.a1	$96$	$6$	$1$
576.5065.2b	$2$	R		$1$	\(\Q\)	576.5065.2b	$D_{12}:S_4$	$S_3$	$6$	6.a1.a1	$96$	6.a1.a1	$96$	$6$	$1$
576.5065.2c	$2$	R		$1$	\(\Q\)	576.5065.2c	$D_{12}:S_4$	$D_4$	$8$	8.a1.a1	$72$	4.a1.a1	$144$	$4$	$1$
576.5065.2d	$2$	R		$1$	\(\Q\)	576.5065.2d	$D_{12}:S_4$	$D_6$	$12$	12.a1.a1	$48$	6.a1.a1	$96$	$6$	$1$
576.5065.2e	$2$	R		$1$	\(\Q\)	576.5065.2e	$D_{12}:S_4$	$D_6$	$12$	12.b1.a1	$48$	6.b1.a1	$96$	$6$	$1$
576.5065.2f1	$2$	R		$8$	\(\Q(\sqrt{2}) \)	576.5065.2f	$D_{12}:S_4$	$D_8$	$16$	16.a1.a1	$36$	8.a1.a1	$72$	$8$	$1$
576.5065.2f2	$2$	R		$8$	\(\Q(\sqrt{2}) \)	576.5065.2f	$D_{12}:S_4$	$D_8$	$16$	16.a1.a1	$36$	8.a1.a1	$72$	$8$	$1$
576.5065.2g1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.2g	$D_{12}:S_4$	$C_3:D_4$	$24$	24.b1.a1	$24$	12.b1.a1	$48$	$12$	$1$
576.5065.2g2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.2g	$D_{12}:S_4$	$C_3:D_4$	$24$	24.b1.a1	$24$	12.b1.a1	$48$	$12$	$1$
576.5065.2h1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.2h	$D_{12}:S_4$	$C_3:D_4$	$24$	24.a1.a1	$24$	12.a1.a1	$48$	$12$	$1$
576.5065.2h2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.2h	$D_{12}:S_4$	$C_3:D_4$	$24$	24.a1.a1	$24$	12.a1.a1	$48$	$12$	$1$
576.5065.3a	$3$	R		$1$	\(\Q\)	576.5065.3a	$D_{12}:S_4$	$S_4$	$24$	24.c1.a1	$24$	24.c1.a1	$24$	$24$	$1$
576.5065.3b	$3$	R		$1$	\(\Q\)	576.5065.3b	$D_{12}:S_4$	$S_4$	$24$	24.c1.a1	$24$	24.c1.a1	$24$	$24$	$1$
576.5065.3c	$3$	R		$1$	\(\Q\)	576.5065.3c	$D_{12}:S_4$	$C_2\times S_4$	$48$	48.a1.a1	$12$	24.c1.a1	$24$	$24$	$1$
576.5065.3d	$3$	R		$1$	\(\Q\)	576.5065.3d	$D_{12}:S_4$	$C_2\times S_4$	$48$	48.a1.a1	$12$	24.c1.a1	$24$	$24$	$1$
576.5065.4a	$4$	R		$1$	\(\Q\)	576.5065.4a	$D_{12}:S_4$	$S_3^2$	$36$	36.a1.a1	$16$	36.a1.a1	$16$	$36$	$1$
576.5065.4b	$4$	R		$1$	\(\Q\)	576.5065.4b	$D_{12}:S_4$	$C_3:D_8$	$48$	48.c1.a1	$12$	24.b1.a1	$24$	$24$	$2$
576.5065.4c	$4$	R		$1$	\(\Q\)	576.5065.4c	$D_{12}:S_4$	$C_3:D_8$	$48$	48.b1.a1	$12$	24.a1.a1	$24$	$24$	$2$
576.5065.4d	$4$	S		$1$	\(\Q\)	576.5065.4d	$D_{12}:S_4$	$D_6:S_3$	$72$	72.a1.a1	$8$	36.a1.a1	$16$	$36$	$2$
576.5065.4e1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	576.5065.4e	$D_{12}:S_4$	$D_{12}:S_3$	$144$	144.b1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5065.4e2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	576.5065.4e	$D_{12}:S_4$	$D_{12}:S_3$	$144$	144.b1.a1	$4$	72.a1.a1	$8$	$72$	$1$
576.5065.6a	$6$	R		$1$	\(\Q\)	576.5065.6a	$D_{12}:S_4$	$\GL(2,\mathbb{Z}/4)$	$96$	96.a1.a1	$6$	48.a1.a1	$12$	$48$	$1$
576.5065.6b	$6$	R		$1$	\(\Q\)	576.5065.6b	$D_{12}:S_4$	$S_3\times S_4$	$144$	144.a1.a1	$4$	144.a1.a1	$4$	$144$	$1$
576.5065.6c	$6$	R		$1$	\(\Q\)	576.5065.6c	$D_{12}:S_4$	$S_3\times S_4$	$144$	144.a1.a1	$4$	144.a1.a1	$4$	$144$	$1$
576.5065.6d1	$6$	R		$8$	\(\Q(\sqrt{2}) \)	576.5065.6d	$D_{12}:S_4$	$D_4:S_4$	$192$	192.a1.a1	$3$	96.a1.a1	$6$	$96$	$1$
576.5065.6d2	$6$	R		$8$	\(\Q(\sqrt{2}) \)	576.5065.6d	$D_{12}:S_4$	$D_4:S_4$	$192$	192.a1.a1	$3$	96.a1.a1	$6$	$96$	$1$
576.5065.6e1	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.6e	$D_{12}:S_4$	$D_6:S_4$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5065.6e2	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	576.5065.6e	$D_{12}:S_4$	$D_6:S_4$	$288$	288.a1.a1	$2$	144.a1.a1	$4$	$144$	$1$
576.5065.12a	$12$	R	✓	$1$	\(\Q\)	576.5065.12a	$D_{12}:S_4$	$D_{12}:S_4$	$576$	576.a1.a1	$1$	288.a1.a1	$2$	$288$	$2$

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