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
528.41.1a	$1$	R	$1$	$\Q$	528.41.1a	$D_{22}:C_{12}$	$C_1$	$1$	1.a1.a1	$528$	1.a1.a1	$528$	$1$	$1$
528.41.1b	$1$	R	$1$	$\Q$	528.41.1b	$D_{22}:C_{12}$	$C_2$	$2$	2.c1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1c	$1$	R	$1$	$\Q$	528.41.1c	$D_{22}:C_{12}$	$C_2$	$2$	2.b1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1d	$1$	R	$1$	$\Q$	528.41.1d	$D_{22}:C_{12}$	$C_2$	$2$	2.a1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1e1	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1e	$D_{22}:C_{12}$	$C_3$	$3$	3.a1.a1	$176$	1.a1.a1	$528$	$1$	$1$
528.41.1e2	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1e	$D_{22}:C_{12}$	$C_3$	$3$	3.a1.a1	$176$	1.a1.a1	$528$	$1$	$1$
528.41.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	528.41.1f	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.b1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	528.41.1f	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.b1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1g1	$1$	C	$4$	$\Q(\sqrt{-1}) $	528.41.1g	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.a1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1g2	$1$	C	$4$	$\Q(\sqrt{-1}) $	528.41.1g	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.a1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1h1	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1h	$D_{22}:C_{12}$	$C_6$	$6$	6.c1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1h2	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1h	$D_{22}:C_{12}$	$C_6$	$6$	6.c1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1i1	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1i	$D_{22}:C_{12}$	$C_6$	$6$	6.b1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1i2	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1i	$D_{22}:C_{12}$	$C_6$	$6$	6.b1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1j1	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1j	$D_{22}:C_{12}$	$C_6$	$6$	6.a1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1j2	$1$	C	$3$	$\Q(\sqrt{-3}) $	528.41.1j	$D_{22}:C_{12}$	$C_6$	$6$	6.a1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1k1	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k2	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k3	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k4	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l1	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l2	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l3	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l4	$1$	C	$12$	$\Q(\sqrt{-1}) $	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.2a	$2$	R	$1$	$\Q$	528.41.2a	$D_{22}:C_{12}$	$D_4$	$8$	8.c1.a1	$66$	4.a1.a1	$132$	$4$	$1$
528.41.2b	$2$	R	$1$	$\Q$	528.41.2b	$D_{22}:C_{12}$	$D_4$	$8$	8.a1.a1	$66$	4.a1.a1	$132$	$4$	$1$
528.41.2c1	$2$	C	$3$	$\Q(\sqrt{-3}) $	528.41.2c	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.c1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2c2	$2$	C	$3$	$\Q(\sqrt{-3}) $	528.41.2c	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.c1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2d1	$2$	C	$3$	$\Q(\sqrt{-3}) $	528.41.2d	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.a1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2d2	$2$	C	$3$	$\Q(\sqrt{-3}) $	528.41.2d	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.a1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2e1	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e2	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e3	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e4	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e5	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2f1	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f2	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f3	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f4	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f5	$2$	R	$11$	$\Q(\zeta_{11})^+$	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2g1	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g10	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g2	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g3	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g4	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g5	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g6	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g7	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g8	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g9	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$

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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
528.41.1a	$1$	R	$1$	\(\Q\)	528.41.1a	$D_{22}:C_{12}$	$C_1$	$1$	1.a1.a1	$528$	1.a1.a1	$528$	$1$	$1$
528.41.1b	$1$	R	$1$	\(\Q\)	528.41.1b	$D_{22}:C_{12}$	$C_2$	$2$	2.c1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1c	$1$	R	$1$	\(\Q\)	528.41.1c	$D_{22}:C_{12}$	$C_2$	$2$	2.b1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1d	$1$	R	$1$	\(\Q\)	528.41.1d	$D_{22}:C_{12}$	$C_2$	$2$	2.a1.a1	$264$	1.a1.a1	$528$	$1$	$1$
528.41.1e1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1e	$D_{22}:C_{12}$	$C_3$	$3$	3.a1.a1	$176$	1.a1.a1	$528$	$1$	$1$
528.41.1e2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1e	$D_{22}:C_{12}$	$C_3$	$3$	3.a1.a1	$176$	1.a1.a1	$528$	$1$	$1$
528.41.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	528.41.1f	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.b1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	528.41.1f	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.b1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1g1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	528.41.1g	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.a1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1g2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	528.41.1g	$D_{22}:C_{12}$	$C_4$	$4$	4.b1.a1	$132$	1.a1.a1	$528$	$1$	$1$
528.41.1h1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1h	$D_{22}:C_{12}$	$C_6$	$6$	6.c1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1h2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1h	$D_{22}:C_{12}$	$C_6$	$6$	6.c1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1i1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1i	$D_{22}:C_{12}$	$C_6$	$6$	6.b1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1i2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1i	$D_{22}:C_{12}$	$C_6$	$6$	6.b1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1j1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1j	$D_{22}:C_{12}$	$C_6$	$6$	6.a1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1j2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.1j	$D_{22}:C_{12}$	$C_6$	$6$	6.a1.a1	$88$	1.a1.a1	$528$	$1$	$1$
528.41.1k1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1k4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1k	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.b1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.1l4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	528.41.1l	$D_{22}:C_{12}$	$C_{12}$	$12$	12.b1.a1	$44$	1.a1.a1	$528$	$1$	$1$
528.41.2a	$2$	R	$1$	\(\Q\)	528.41.2a	$D_{22}:C_{12}$	$D_4$	$8$	8.c1.a1	$66$	4.a1.a1	$132$	$4$	$1$
528.41.2b	$2$	R	$1$	\(\Q\)	528.41.2b	$D_{22}:C_{12}$	$D_4$	$8$	8.a1.a1	$66$	4.a1.a1	$132$	$4$	$1$
528.41.2c1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.2c	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.c1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2c2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.2c	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.c1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2d1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.2d	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.a1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2d2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	528.41.2d	$D_{22}:C_{12}$	$C_3\times D_4$	$24$	24.a1.a1	$22$	4.a1.a1	$132$	$4$	$1$
528.41.2e1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2e5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2e	$D_{22}:C_{12}$	$D_{11}$	$22$	22.a1.a1	$24$	22.a1.a1	$24$	$22$	$1$
528.41.2f1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2f5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	528.41.2f	$D_{22}:C_{12}$	$D_{22}$	$44$	44.a1.a1	$12$	22.a1.a1	$24$	$22$	$1$
528.41.2g1	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g10	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g2	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g3	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g4	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g5	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g6	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g7	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g8	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$
528.41.2g9	$2$	C	$33$	10.0.52089208083.1	528.41.2g	$D_{22}:C_{12}$	$C_3\times D_{11}$	$66$	66.a1.a1	$8$	22.a1.a1	$24$	$22$	$1$