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
240.82.1a	$1$	R	$1$	$\Q$	240.82.1a	$C_2^2:C_{60}$	$C_1$	$1$	1.a1.a1	$240$	1.a1.a1	$240$	$1$	$1$
240.82.1b	$1$	R	$1$	$\Q$	240.82.1b	$C_2^2:C_{60}$	$C_2$	$2$	2.b1.b1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1c	$1$	R	$1$	$\Q$	240.82.1c	$C_2^2:C_{60}$	$C_2$	$2$	2.b1.a1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1d	$1$	R	$1$	$\Q$	240.82.1d	$C_2^2:C_{60}$	$C_2$	$2$	2.a1.a1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1e1	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1e	$C_2^2:C_{60}$	$C_3$	$3$	3.a1.a1	$80$	1.a1.a1	$240$	$1$	$1$
240.82.1e2	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1e	$C_2^2:C_{60}$	$C_3$	$3$	3.a1.a1	$80$	1.a1.a1	$240$	$1$	$1$
240.82.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	240.82.1f	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.b1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	240.82.1f	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.b1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1g1	$1$	C	$4$	$\Q(\sqrt{-1}) $	240.82.1g	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.a1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1g2	$1$	C	$4$	$\Q(\sqrt{-1}) $	240.82.1g	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.a1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1h1	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1h	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.b1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1h2	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1h	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.b1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1i1	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1i	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1i2	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1i	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1j1	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1j	$C_2^2:C_{60}$	$C_6$	$6$	6.a1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1j2	$1$	C	$3$	$\Q(\sqrt{-3}) $	240.82.1j	$C_2^2:C_{60}$	$C_6$	$6$	6.a1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1k1	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k2	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k3	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k4	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1l1	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l2	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l3	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l4	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m1	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m2	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m3	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m4	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n1	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n2	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n3	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n4	$1$	C	$5$	$\Q(\zeta_{5})$	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1o1	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o2	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o3	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o4	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p1	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p2	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p3	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p4	$1$	C	$12$	$\Q(\sqrt{-1}) $	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1q1	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q2	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q3	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q4	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q5	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q6	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q7	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q8	$1$	C	$15$	$\Q(\sqrt{-3}) $	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1r1	$1$	C	$20$	$\Q(\sqrt{-1}) $	240.82.1r	$C_2^2:C_{60}$	$C_{20}$	$20$	20.b1.b1	$12$	1.a1.a1	$240$	$1$	$1$
240.82.1r2	$1$	C	$20$	$\Q(\sqrt{-1}) $	240.82.1r	$C_2^2:C_{60}$	$C_{20}$	$20$	20.b1.b1	$12$	1.a1.a1	$240$	$1$	$1$

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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
240.82.1a	$1$	R	$1$	\(\Q\)	240.82.1a	$C_2^2:C_{60}$	$C_1$	$1$	1.a1.a1	$240$	1.a1.a1	$240$	$1$	$1$
240.82.1b	$1$	R	$1$	\(\Q\)	240.82.1b	$C_2^2:C_{60}$	$C_2$	$2$	2.b1.b1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1c	$1$	R	$1$	\(\Q\)	240.82.1c	$C_2^2:C_{60}$	$C_2$	$2$	2.b1.a1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1d	$1$	R	$1$	\(\Q\)	240.82.1d	$C_2^2:C_{60}$	$C_2$	$2$	2.a1.a1	$120$	1.a1.a1	$240$	$1$	$1$
240.82.1e1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1e	$C_2^2:C_{60}$	$C_3$	$3$	3.a1.a1	$80$	1.a1.a1	$240$	$1$	$1$
240.82.1e2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1e	$C_2^2:C_{60}$	$C_3$	$3$	3.a1.a1	$80$	1.a1.a1	$240$	$1$	$1$
240.82.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	240.82.1f	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.b1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	240.82.1f	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.b1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1g1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	240.82.1g	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.a1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1g2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	240.82.1g	$C_2^2:C_{60}$	$C_4$	$4$	4.b1.a1	$60$	1.a1.a1	$240$	$1$	$1$
240.82.1h1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1h	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.b1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1h2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1h	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.b1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1i1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1i	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1i2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1i	$C_2^2:C_{60}$	$C_6$	$6$	6.b1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1j1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1j	$C_2^2:C_{60}$	$C_6$	$6$	6.a1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1j2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	240.82.1j	$C_2^2:C_{60}$	$C_6$	$6$	6.a1.a1	$40$	1.a1.a1	$240$	$1$	$1$
240.82.1k1	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k2	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k3	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1k4	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1k	$C_2^2:C_{60}$	$C_5$	$5$	5.a1.a1	$48$	1.a1.a1	$240$	$1$	$1$
240.82.1l1	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l2	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l3	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1l4	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1l	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.b1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m1	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m2	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m3	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1m4	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1m	$C_2^2:C_{60}$	$C_{10}$	$10$	10.b1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n1	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n2	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n3	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1n4	$1$	C	$5$	\(\Q(\zeta_{5})\)	240.82.1n	$C_2^2:C_{60}$	$C_{10}$	$10$	10.a1.a1	$24$	1.a1.a1	$240$	$1$	$1$
240.82.1o1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1o4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1o	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.b1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1p4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	240.82.1p	$C_2^2:C_{60}$	$C_{12}$	$12$	12.b1.a1	$20$	1.a1.a1	$240$	$1$	$1$
240.82.1q1	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q2	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q3	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q4	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q5	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q6	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q7	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1q8	$1$	C	$15$	\(\Q(\sqrt{-3}) \)	240.82.1q	$C_2^2:C_{60}$	$C_{15}$	$15$	15.a1.a1	$16$	1.a1.a1	$240$	$1$	$1$
240.82.1r1	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	240.82.1r	$C_2^2:C_{60}$	$C_{20}$	$20$	20.b1.b1	$12$	1.a1.a1	$240$	$1$	$1$
240.82.1r2	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	240.82.1r	$C_2^2:C_{60}$	$C_{20}$	$20$	20.b1.b1	$12$	1.a1.a1	$240$	$1$	$1$