LMFDB - Complex character search results

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Results (1-50 of 90 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
12348.bp.1a	$1$	R	$1$	$\Q$	12348.bp.1a	$C_7^3:C_6^2$	$C_1$	$1$	1.a1	$12348$	1.a1	$12348$	$1$	$1$
12348.bp.1b	$1$	R	$1$	$\Q$	12348.bp.1b	$C_7^3:C_6^2$	$C_2$	$2$	2.b1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1c	$1$	R	$1$	$\Q$	12348.bp.1c	$C_7^3:C_6^2$	$C_2$	$2$	2.b1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1d	$1$	R	$1$	$\Q$	12348.bp.1d	$C_7^3:C_6^2$	$C_2$	$2$	2.a1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1e1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1e	$C_7^3:C_6^2$	$C_3$	$3$	3.b1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1e2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1e	$C_7^3:C_6^2$	$C_3$	$3$	3.b1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1f1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1f	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1f2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1f	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1g1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1g	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1g2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1g	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1h1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1h	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1h2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1h	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1i1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1i	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1i2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1i	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1j1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1j	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1j2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1j	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1k1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1k	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1k2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1k	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1l1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1l	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1l2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1l	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1m1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1m	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1m2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1m	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1n1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1n	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1n2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1n	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1o1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1o	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1o2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1o	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1p1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1p	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1p2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1p	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1q1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1q	$C_7^3:C_6^2$	$C_6$	$6$	6.b1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1q2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1q	$C_7^3:C_6^2$	$C_6$	$6$	6.b1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1r1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1r	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1r2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1r	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1s1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1s	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1s2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1s	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1t1	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1t	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1t2	$1$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.1t	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.6a	$6$	R	$1$	$\Q$	12348.bp.6a	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6b	$6$	R	$1$	$\Q$	12348.bp.6b	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6c	$6$	R	$1$	$\Q$	12348.bp.6c	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6d	$6$	R	$1$	$\Q$	12348.bp.6d	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6e	$6$	R	$1$	$\Q$	12348.bp.6e	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6f	$6$	R	$1$	$\Q$	12348.bp.6f	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6g1	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6g	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6g2	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6g	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6h1	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6h	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6h2	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6h	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6i1	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6i	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6i2	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6i	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6j1	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6j	$C_7^3:C_6^2$	$C_6\times F_7$	$252$	252.a1	$49$	42.a1	$294$	$42$	$1$
12348.bp.6j2	$6$	C	$3$	$\Q(\sqrt{-3}) $	12348.bp.6j	$C_7^3:C_6^2$	$C_6\times F_7$	$252$	252.a1	$49$	42.a1	$294$	$42$	$1$

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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
12348.bp.1a	$1$	R	$1$	\(\Q\)	12348.bp.1a	$C_7^3:C_6^2$	$C_1$	$1$	1.a1	$12348$	1.a1	$12348$	$1$	$1$
12348.bp.1b	$1$	R	$1$	\(\Q\)	12348.bp.1b	$C_7^3:C_6^2$	$C_2$	$2$	2.b1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1c	$1$	R	$1$	\(\Q\)	12348.bp.1c	$C_7^3:C_6^2$	$C_2$	$2$	2.b1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1d	$1$	R	$1$	\(\Q\)	12348.bp.1d	$C_7^3:C_6^2$	$C_2$	$2$	2.a1	$6174$	1.a1	$12348$	$1$	$1$
12348.bp.1e1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1e	$C_7^3:C_6^2$	$C_3$	$3$	3.b1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1e2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1e	$C_7^3:C_6^2$	$C_3$	$3$	3.b1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1f1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1f	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1f2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1f	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1g1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1g	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1g2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1g	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1h1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1h	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1h2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1h	$C_7^3:C_6^2$	$C_3$	$3$	3.a1	$4116$	1.a1	$12348$	$1$	$1$
12348.bp.1i1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1i	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1i2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1i	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1j1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1j	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1j2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1j	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1k1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1k	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1k2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1k	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1l1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1l	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1l2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1l	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1m1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1m	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1m2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1m	$C_7^3:C_6^2$	$C_6$	$6$	6.d1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1n1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1n	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1n2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1n	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1o1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1o	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1o2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1o	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1p1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1p	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1p2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1p	$C_7^3:C_6^2$	$C_6$	$6$	6.c1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1q1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1q	$C_7^3:C_6^2$	$C_6$	$6$	6.b1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1q2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1q	$C_7^3:C_6^2$	$C_6$	$6$	6.b1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1r1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1r	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1r2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1r	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1s1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1s	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1s2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1s	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1t1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1t	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.1t2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.1t	$C_7^3:C_6^2$	$C_6$	$6$	6.a1	$2058$	1.a1	$12348$	$1$	$1$
12348.bp.6a	$6$	R	$1$	\(\Q\)	12348.bp.6a	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6b	$6$	R	$1$	\(\Q\)	12348.bp.6b	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6c	$6$	R	$1$	\(\Q\)	12348.bp.6c	$C_7^3:C_6^2$	$F_7$	$42$	42.a1	$294$	42.a1	$294$	$42$	$1$
12348.bp.6d	$6$	R	$1$	\(\Q\)	12348.bp.6d	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6e	$6$	R	$1$	\(\Q\)	12348.bp.6e	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6f	$6$	R	$1$	\(\Q\)	12348.bp.6f	$C_7^3:C_6^2$	$C_2\times F_7$	$84$	84.a1	$147$	42.a1	$294$	$42$	$1$
12348.bp.6g1	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6g	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6g2	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6g	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6h1	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6h	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6h2	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6h	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6i1	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6i	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6i2	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6i	$C_7^3:C_6^2$	$C_3\times F_7$	$126$	126.a1	$98$	42.a1	$294$	$42$	$1$
12348.bp.6j1	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6j	$C_7^3:C_6^2$	$C_6\times F_7$	$252$	252.a1	$49$	42.a1	$294$	$42$	$1$
12348.bp.6j2	$6$	C	$3$	\(\Q(\sqrt{-3}) \)	12348.bp.6j	$C_7^3:C_6^2$	$C_6\times F_7$	$252$	252.a1	$49$	42.a1	$294$	$42$	$1$