LMFDB - Complex character search results

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Results (1-50 of 150 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
1584.122.1a	$1$	R	$1$	$\Q$	1584.122.1a	$D_{22}.D_{18}$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.122.1b	$1$	R	$1$	$\Q$	1584.122.1b	$D_{22}.D_{18}$	$C_2$	$2$	2.g1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1c	$1$	R	$1$	$\Q$	1584.122.1c	$D_{22}.D_{18}$	$C_2$	$2$	2.f1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1d	$1$	R	$1$	$\Q$	1584.122.1d	$D_{22}.D_{18}$	$C_2$	$2$	2.e1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1e	$1$	R	$1$	$\Q$	1584.122.1e	$D_{22}.D_{18}$	$C_2$	$2$	2.d1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1f	$1$	R	$1$	$\Q$	1584.122.1f	$D_{22}.D_{18}$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1g	$1$	R	$1$	$\Q$	1584.122.1g	$D_{22}.D_{18}$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1h	$1$	R	$1$	$\Q$	1584.122.1h	$D_{22}.D_{18}$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.2a	$2$	R	$1$	$\Q$	1584.122.2a	$D_{22}.D_{18}$	$S_3$	$6$	6.a1.a1	$264$	6.a1.a1	$264$	$6$	$1$
1584.122.2b	$2$	R	$1$	$\Q$	1584.122.2b	$D_{22}.D_{18}$	$D_6$	$12$	12.c1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2c	$2$	R	$1$	$\Q$	1584.122.2c	$D_{22}.D_{18}$	$D_6$	$12$	12.b1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2d	$2$	R	$1$	$\Q$	1584.122.2d	$D_{22}.D_{18}$	$D_6$	$12$	12.a1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2e1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.122.2e	$D_{22}.D_{18}$	$D_4:C_2$	$16$	16.a1.a1	$99$	4.d1.a1	$396$	$4$	$1$
1584.122.2e2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.122.2e	$D_{22}.D_{18}$	$D_4:C_2$	$16$	16.a1.a1	$99$	4.d1.a1	$396$	$4$	$1$
1584.122.2f1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2f2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2f3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2g1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2g2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2g3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2j1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2k1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2n1	$2$	C	$44$	$\Q(\sqrt{-1}) $	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n10	$2$	C	$44$	$\Q(\sqrt{-1}) $	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n11	$2$	C	$44$	$\Q(\sqrt{-1}) $	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n12	$2$	C	$44$	$\Q(\sqrt{-1}) $	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$

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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
1584.122.1a	$1$	R	$1$	\(\Q\)	1584.122.1a	$D_{22}.D_{18}$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.122.1b	$1$	R	$1$	\(\Q\)	1584.122.1b	$D_{22}.D_{18}$	$C_2$	$2$	2.g1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1c	$1$	R	$1$	\(\Q\)	1584.122.1c	$D_{22}.D_{18}$	$C_2$	$2$	2.f1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1d	$1$	R	$1$	\(\Q\)	1584.122.1d	$D_{22}.D_{18}$	$C_2$	$2$	2.e1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1e	$1$	R	$1$	\(\Q\)	1584.122.1e	$D_{22}.D_{18}$	$C_2$	$2$	2.d1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1f	$1$	R	$1$	\(\Q\)	1584.122.1f	$D_{22}.D_{18}$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1g	$1$	R	$1$	\(\Q\)	1584.122.1g	$D_{22}.D_{18}$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.1h	$1$	R	$1$	\(\Q\)	1584.122.1h	$D_{22}.D_{18}$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.122.2a	$2$	R	$1$	\(\Q\)	1584.122.2a	$D_{22}.D_{18}$	$S_3$	$6$	6.a1.a1	$264$	6.a1.a1	$264$	$6$	$1$
1584.122.2b	$2$	R	$1$	\(\Q\)	1584.122.2b	$D_{22}.D_{18}$	$D_6$	$12$	12.c1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2c	$2$	R	$1$	\(\Q\)	1584.122.2c	$D_{22}.D_{18}$	$D_6$	$12$	12.b1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2d	$2$	R	$1$	\(\Q\)	1584.122.2d	$D_{22}.D_{18}$	$D_6$	$12$	12.a1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.122.2e1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.122.2e	$D_{22}.D_{18}$	$D_4:C_2$	$16$	16.a1.a1	$99$	4.d1.a1	$396$	$4$	$1$
1584.122.2e2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.122.2e	$D_{22}.D_{18}$	$D_4:C_2$	$16$	16.a1.a1	$99$	4.d1.a1	$396$	$4$	$1$
1584.122.2f1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2f2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2f3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2f	$D_{22}.D_{18}$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.122.2g1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2g2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2g3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2g	$D_{22}.D_{18}$	$D_{18}$	$36$	36.c1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2h3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2h	$D_{22}.D_{18}$	$D_{18}$	$36$	36.b1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2i3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.122.2i	$D_{22}.D_{18}$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.122.2j1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2j5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2j	$D_{22}.D_{18}$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.122.2k1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2k5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2k	$D_{22}.D_{18}$	$D_{22}$	$44$	44.c1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2l5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2l	$D_{22}.D_{18}$	$D_{22}$	$44$	44.b1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2m5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.122.2m	$D_{22}.D_{18}$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.122.2n1	$2$	C	$44$	\(\Q(\sqrt{-1}) \)	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n10	$2$	C	$44$	\(\Q(\sqrt{-1}) \)	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n11	$2$	C	$44$	\(\Q(\sqrt{-1}) \)	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$
1584.122.2n12	$2$	C	$44$	\(\Q(\sqrt{-1}) \)	1584.122.2n	$D_{22}.D_{18}$	$D_{44}:C_2$	$176$	176.a1.a1	$9$	44.b1.a1	$36$	$44$	$1$