LMFDB - Complex character search results

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Results (1-50 of 60 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
288.398.1a	$1$	R	$1$	$\Q$	288.398.1a	$A_4:C_{24}$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.398.1b	$1$	R	$1$	$\Q$	288.398.1b	$A_4:C_{24}$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.398.1c1	$1$	C	$3$	$\Q(\sqrt{-3}) $	288.398.1c	$A_4:C_{24}$	$C_3$	$3$	3.a1.a1	$96$	1.a1.a1	$288$	$1$	$1$
288.398.1c2	$1$	C	$3$	$\Q(\sqrt{-3}) $	288.398.1c	$A_4:C_{24}$	$C_3$	$3$	3.a1.a1	$96$	1.a1.a1	$288$	$1$	$1$
288.398.1d1	$1$	C	$4$	$\Q(\sqrt{-1}) $	288.398.1d	$A_4:C_{24}$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.398.1d2	$1$	C	$4$	$\Q(\sqrt{-1}) $	288.398.1d	$A_4:C_{24}$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.398.1e1	$1$	C	$3$	$\Q(\sqrt{-3}) $	288.398.1e	$A_4:C_{24}$	$C_6$	$6$	6.b1.a1	$48$	1.a1.a1	$288$	$1$	$1$
288.398.1e2	$1$	C	$3$	$\Q(\sqrt{-3}) $	288.398.1e	$A_4:C_{24}$	$C_6$	$6$	6.b1.a1	$48$	1.a1.a1	$288$	$1$	$1$
288.398.1f1	$1$	C	$8$	$\Q(\zeta_{8})$	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f2	$1$	C	$8$	$\Q(\zeta_{8})$	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f3	$1$	C	$8$	$\Q(\zeta_{8})$	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f4	$1$	C	$8$	$\Q(\zeta_{8})$	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1g1	$1$	C	$12$	$\Q(\sqrt{-1}) $	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g2	$1$	C	$12$	$\Q(\sqrt{-1}) $	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g3	$1$	C	$12$	$\Q(\sqrt{-1}) $	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g4	$1$	C	$12$	$\Q(\sqrt{-1}) $	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1h1	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h2	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h3	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h4	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h5	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h6	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h7	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h8	$1$	C	$24$	$\Q(\zeta_{8})$	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.2a	$2$	R	$1$	$\Q$	288.398.2a	$A_4:C_{24}$	$S_3$	$6$	6.a1.a1	$48$	6.a1.a1	$48$	$6$	$1$
288.398.2b	$2$	S	$1$	$\Q$	288.398.2b	$A_4:C_{24}$	$C_3:C_4$	$12$	12.a1.a1	$24$	6.a1.a1	$48$	$6$	$2$
288.398.2c1	$2$	C	$3$	$\Q(\sqrt{-3}) $	288.398.2c	$A_4:C_{24}$	$C_3\times S_3$	$18$	18.a1.a1	$16$	6.a1.a1	$48$	$6$	$1$
288.398.2c2	$2$	C	$3$	$\Q(\sqrt{-3}) $	288.398.2c	$A_4:C_{24}$	$C_3\times S_3$	$18$	18.a1.a1	$16$	6.a1.a1	$48$	$6$	$1$
288.398.2d1	$2$	C	$3$	$\Q(\sqrt{-3}) $	288.398.2d	$A_4:C_{24}$	$C_3:C_{12}$	$36$	36.a1.a1	$8$	6.a1.a1	$48$	$6$	$1$
288.398.2d2	$2$	C	$3$	$\Q(\sqrt{-3}) $	288.398.2d	$A_4:C_{24}$	$C_3:C_{12}$	$36$	36.a1.a1	$8$	6.a1.a1	$48$	$6$	$1$
288.398.2e1	$2$	C	$4$	$\Q(\sqrt{-1}) $	288.398.2e	$A_4:C_{24}$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.398.2e2	$2$	C	$4$	$\Q(\sqrt{-1}) $	288.398.2e	$A_4:C_{24}$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.398.2f1	$2$	C	$12$	$\Q(\sqrt{-1}) $	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f2	$2$	C	$12$	$\Q(\sqrt{-1}) $	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f3	$2$	C	$12$	$\Q(\sqrt{-1}) $	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f4	$2$	C	$12$	$\Q(\sqrt{-1}) $	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.3a	$3$	R	$1$	$\Q$	288.398.3a	$A_4:C_{24}$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.398.3b	$3$	R	$1$	$\Q$	288.398.3b	$A_4:C_{24}$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.398.3c1	$3$	C	$4$	$\Q(\sqrt{-1}) $	288.398.3c	$A_4:C_{24}$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.398.3c2	$3$	C	$4$	$\Q(\sqrt{-1}) $	288.398.3c	$A_4:C_{24}$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.398.3d1	$3$	C	$3$	$\Q(\sqrt{-3}) $	288.398.3d	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3d2	$3$	C	$3$	$\Q(\sqrt{-3}) $	288.398.3d	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3e1	$3$	C	$3$	$\Q(\sqrt{-3}) $	288.398.3e	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3e2	$3$	C	$3$	$\Q(\sqrt{-3}) $	288.398.3e	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3f1	$3$	C	$8$	$\Q(\zeta_{8})$	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f2	$3$	C	$8$	$\Q(\zeta_{8})$	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f3	$3$	C	$8$	$\Q(\zeta_{8})$	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f4	$3$	C	$8$	$\Q(\zeta_{8})$	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3g1	$3$	C	$12$	$\Q(\sqrt{-1}) $	288.398.3g	$A_4:C_{24}$	$A_4:C_{12}$	$144$	144.a1.a1	$2$	24.a1.a1	$12$	$24$	$1$
288.398.3g2	$3$	C	$12$	$\Q(\sqrt{-1}) $	288.398.3g	$A_4:C_{24}$	$A_4:C_{12}$	$144$	144.a1.a1	$2$	24.a1.a1	$12$	$24$	$1$

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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
288.398.1a	$1$	R	$1$	\(\Q\)	288.398.1a	$A_4:C_{24}$	$C_1$	$1$	1.a1.a1	$288$	1.a1.a1	$288$	$1$	$1$
288.398.1b	$1$	R	$1$	\(\Q\)	288.398.1b	$A_4:C_{24}$	$C_2$	$2$	2.a1.a1	$144$	1.a1.a1	$288$	$1$	$1$
288.398.1c1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.1c	$A_4:C_{24}$	$C_3$	$3$	3.a1.a1	$96$	1.a1.a1	$288$	$1$	$1$
288.398.1c2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.1c	$A_4:C_{24}$	$C_3$	$3$	3.a1.a1	$96$	1.a1.a1	$288$	$1$	$1$
288.398.1d1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.1d	$A_4:C_{24}$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.398.1d2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.1d	$A_4:C_{24}$	$C_4$	$4$	4.a1.a1	$72$	1.a1.a1	$288$	$1$	$1$
288.398.1e1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.1e	$A_4:C_{24}$	$C_6$	$6$	6.b1.a1	$48$	1.a1.a1	$288$	$1$	$1$
288.398.1e2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.1e	$A_4:C_{24}$	$C_6$	$6$	6.b1.a1	$48$	1.a1.a1	$288$	$1$	$1$
288.398.1f1	$1$	C	$8$	\(\Q(\zeta_{8})\)	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f2	$1$	C	$8$	\(\Q(\zeta_{8})\)	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f3	$1$	C	$8$	\(\Q(\zeta_{8})\)	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1f4	$1$	C	$8$	\(\Q(\zeta_{8})\)	288.398.1f	$A_4:C_{24}$	$C_8$	$8$	8.a1.a1	$36$	1.a1.a1	$288$	$1$	$1$
288.398.1g1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1g4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.1g	$A_4:C_{24}$	$C_{12}$	$12$	12.b1.a1	$24$	1.a1.a1	$288$	$1$	$1$
288.398.1h1	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h2	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h3	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h4	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h5	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h6	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h7	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.1h8	$1$	C	$24$	\(\Q(\zeta_{8})\)	288.398.1h	$A_4:C_{24}$	$C_{24}$	$24$	24.c1.a1	$12$	1.a1.a1	$288$	$1$	$1$
288.398.2a	$2$	R	$1$	\(\Q\)	288.398.2a	$A_4:C_{24}$	$S_3$	$6$	6.a1.a1	$48$	6.a1.a1	$48$	$6$	$1$
288.398.2b	$2$	S	$1$	\(\Q\)	288.398.2b	$A_4:C_{24}$	$C_3:C_4$	$12$	12.a1.a1	$24$	6.a1.a1	$48$	$6$	$2$
288.398.2c1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.2c	$A_4:C_{24}$	$C_3\times S_3$	$18$	18.a1.a1	$16$	6.a1.a1	$48$	$6$	$1$
288.398.2c2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.2c	$A_4:C_{24}$	$C_3\times S_3$	$18$	18.a1.a1	$16$	6.a1.a1	$48$	$6$	$1$
288.398.2d1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.2d	$A_4:C_{24}$	$C_3:C_{12}$	$36$	36.a1.a1	$8$	6.a1.a1	$48$	$6$	$1$
288.398.2d2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.2d	$A_4:C_{24}$	$C_3:C_{12}$	$36$	36.a1.a1	$8$	6.a1.a1	$48$	$6$	$1$
288.398.2e1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.2e	$A_4:C_{24}$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.398.2e2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.2e	$A_4:C_{24}$	$C_3:C_8$	$24$	24.b1.a1	$12$	6.a1.a1	$48$	$6$	$1$
288.398.2f1	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f2	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f3	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.2f4	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.2f	$A_4:C_{24}$	$C_3:C_{24}$	$72$	72.b1.a1	$4$	6.a1.a1	$48$	$6$	$1$
288.398.3a	$3$	R	$1$	\(\Q\)	288.398.3a	$A_4:C_{24}$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.398.3b	$3$	R	$1$	\(\Q\)	288.398.3b	$A_4:C_{24}$	$S_4$	$24$	24.a1.a1	$12$	24.a1.a1	$12$	$24$	$1$
288.398.3c1	$3$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.3c	$A_4:C_{24}$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.398.3c2	$3$	C	$4$	\(\Q(\sqrt{-1}) \)	288.398.3c	$A_4:C_{24}$	$A_4:C_4$	$48$	48.a1.a1	$6$	24.a1.a1	$12$	$24$	$1$
288.398.3d1	$3$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.3d	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3d2	$3$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.3d	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3e1	$3$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.3e	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3e2	$3$	C	$3$	\(\Q(\sqrt{-3}) \)	288.398.3e	$A_4:C_{24}$	$C_3\times S_4$	$72$	72.a1.a1	$4$	24.a1.a1	$12$	$24$	$1$
288.398.3f1	$3$	C	$8$	\(\Q(\zeta_{8})\)	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f2	$3$	C	$8$	\(\Q(\zeta_{8})\)	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f3	$3$	C	$8$	\(\Q(\zeta_{8})\)	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3f4	$3$	C	$8$	\(\Q(\zeta_{8})\)	288.398.3f	$A_4:C_{24}$	$A_4:C_8$	$96$	96.a1.a1	$3$	24.a1.a1	$12$	$24$	$1$
288.398.3g1	$3$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.3g	$A_4:C_{24}$	$A_4:C_{12}$	$144$	144.a1.a1	$2$	24.a1.a1	$12$	$24$	$1$
288.398.3g2	$3$	C	$12$	\(\Q(\sqrt{-1}) \)	288.398.3g	$A_4:C_{24}$	$A_4:C_{12}$	$144$	144.a1.a1	$2$	24.a1.a1	$12$	$24$	$1$