LMFDB - Complex character search results

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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
784.48.1a	$1$	R	$1$	$\Q$	784.48.1a	$C_{28}.D_{14}$	$C_1$	$1$	1.a1.a1	$784$	1.a1.a1	$784$	$1$	$1$
784.48.1b	$1$	R	$1$	$\Q$	784.48.1b	$C_{28}.D_{14}$	$C_2$	$2$	2.c1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1c	$1$	R	$1$	$\Q$	784.48.1c	$C_{28}.D_{14}$	$C_2$	$2$	2.b1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1d	$1$	R	$1$	$\Q$	784.48.1d	$C_{28}.D_{14}$	$C_2$	$2$	2.a1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	784.48.1e	$C_{28}.D_{14}$	$C_4$	$4$	4.c1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	784.48.1e	$C_{28}.D_{14}$	$C_4$	$4$	4.c1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	784.48.1f	$C_{28}.D_{14}$	$C_4$	$4$	4.a1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	784.48.1f	$C_{28}.D_{14}$	$C_4$	$4$	4.a1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1g1	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g2	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g3	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g4	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h1	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h2	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h3	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h4	$1$	C	$8$	$\Q(\zeta_{8})$	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.2a1	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2a2	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2a3	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2b1	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2b2	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2b3	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2c1	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2c2	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2c3	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2d1	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2d2	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2d3	$2$	R	$7$	$\Q(\zeta_{7})^+$	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2e1	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2e2	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2e3	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f1	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f2	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f3	$2$	S	$7$	$\Q(\zeta_{7})^+$	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2g1	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g2	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g3	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g4	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g5	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g6	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2h1	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h2	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h3	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h4	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h5	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h6	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i1	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i2	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i3	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i4	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$

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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
784.48.1a	$1$	R	$1$	\(\Q\)	784.48.1a	$C_{28}.D_{14}$	$C_1$	$1$	1.a1.a1	$784$	1.a1.a1	$784$	$1$	$1$
784.48.1b	$1$	R	$1$	\(\Q\)	784.48.1b	$C_{28}.D_{14}$	$C_2$	$2$	2.c1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1c	$1$	R	$1$	\(\Q\)	784.48.1c	$C_{28}.D_{14}$	$C_2$	$2$	2.b1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1d	$1$	R	$1$	\(\Q\)	784.48.1d	$C_{28}.D_{14}$	$C_2$	$2$	2.a1.a1	$392$	1.a1.a1	$784$	$1$	$1$
784.48.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	784.48.1e	$C_{28}.D_{14}$	$C_4$	$4$	4.c1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	784.48.1e	$C_{28}.D_{14}$	$C_4$	$4$	4.c1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	784.48.1f	$C_{28}.D_{14}$	$C_4$	$4$	4.a1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	784.48.1f	$C_{28}.D_{14}$	$C_4$	$4$	4.a1.a1	$196$	1.a1.a1	$784$	$1$	$1$
784.48.1g1	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g2	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g3	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1g4	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1g	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.b1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h1	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h2	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h3	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.1h4	$1$	C	$8$	\(\Q(\zeta_{8})\)	784.48.1h	$C_{28}.D_{14}$	$C_8$	$8$	8.b1.a1	$98$	1.a1.a1	$784$	$1$	$1$
784.48.2a1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2a2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2a3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2a	$C_{28}.D_{14}$	$D_7$	$14$	14.b1.a1	$56$	14.b1.a1	$56$	$14$	$1$
784.48.2b1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2b2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2b3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2b	$C_{28}.D_{14}$	$D_7$	$14$	14.a1.a1	$56$	14.a1.a1	$56$	$14$	$1$
784.48.2c1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2c2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2c3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2c	$C_{28}.D_{14}$	$D_{14}$	$28$	28.c1.a1	$28$	14.a1.a1	$56$	$14$	$1$
784.48.2d1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2d2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2d3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	784.48.2d	$C_{28}.D_{14}$	$D_{14}$	$28$	28.b1.a1	$28$	14.b1.a1	$56$	$14$	$1$
784.48.2e1	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2e2	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2e3	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2e	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.d1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f1	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f2	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2f3	$2$	S	$7$	\(\Q(\zeta_{7})^+\)	784.48.2f	$C_{28}.D_{14}$	$C_7:C_4$	$28$	28.a1.a1	$28$	14.a1.a1	$56$	$14$	$2$
784.48.2g1	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g2	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g3	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g4	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g5	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2g6	$2$	C	$28$	6.0.153664.1	784.48.2g	$C_{28}.D_{14}$	$C_4\times D_7$	$56$	56.a1.a1	$14$	14.b1.a1	$56$	$14$	$1$
784.48.2h1	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h2	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h3	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h4	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h5	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2h6	$2$	C	$28$	6.0.153664.1	784.48.2h	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.b1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i1	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i2	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i3	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$
784.48.2i4	$2$	C	$28$	6.0.153664.1	784.48.2i	$C_{28}.D_{14}$	$C_7:C_8$	$56$	56.c1.a1	$14$	14.a1.a1	$56$	$14$	$1$