LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (22 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
1210.10.1a	$1$	R		$1$	$\Q$	1210.10.1a	$C_{11}:F_{11}$	$C_1$	$1$	1.a1.a1	$1210$	1.a1.a1	$1210$	$1$	$1$
1210.10.1b	$1$	R		$1$	$\Q$	1210.10.1b	$C_{11}:F_{11}$	$C_2$	$2$	2.a1.a1	$605$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c1	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c2	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c3	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c4	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d1	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d2	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d3	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d4	$1$	C		$5$	$\Q(\zeta_{5})$	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.10a	$10$	R		$1$	$\Q$	1210.10.10a	$C_{11}:F_{11}$	$F_{11}$	$110$	110.a1.a1	$11$	110.a1.a1	$11$	$110$	$1$
1210.10.10b	$10$	R		$1$	$\Q$	1210.10.10b	$C_{11}:F_{11}$	$F_{11}$	$110$	110.a1.b1	$11$	110.a1.b1	$11$	$110$	$1$
1210.10.10c1	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c2	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c3	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c4	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c5	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d1	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d2	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d3	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d4	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d5	$10$	R	✓	$11$	$\Q(\zeta_{11})^+$	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$

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Results (22 matches)

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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
1210.10.1a	$1$	R		$1$	\(\Q\)	1210.10.1a	$C_{11}:F_{11}$	$C_1$	$1$	1.a1.a1	$1210$	1.a1.a1	$1210$	$1$	$1$
1210.10.1b	$1$	R		$1$	\(\Q\)	1210.10.1b	$C_{11}:F_{11}$	$C_2$	$2$	2.a1.a1	$605$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c1	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c2	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c3	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1c4	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1c	$C_{11}:F_{11}$	$C_5$	$5$	5.a1.a1	$242$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d1	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d2	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d3	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.1d4	$1$	C		$5$	\(\Q(\zeta_{5})\)	1210.10.1d	$C_{11}:F_{11}$	$C_{10}$	$10$	10.a1.a1	$121$	1.a1.a1	$1210$	$1$	$1$
1210.10.10a	$10$	R		$1$	\(\Q\)	1210.10.10a	$C_{11}:F_{11}$	$F_{11}$	$110$	110.a1.a1	$11$	110.a1.a1	$11$	$110$	$1$
1210.10.10b	$10$	R		$1$	\(\Q\)	1210.10.10b	$C_{11}:F_{11}$	$F_{11}$	$110$	110.a1.b1	$11$	110.a1.b1	$11$	$110$	$1$
1210.10.10c1	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c2	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c3	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c4	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10c5	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10c	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d1	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d2	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d3	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d4	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$
1210.10.10d5	$10$	R	✓	$11$	\(\Q(\zeta_{11})^+\)	1210.10.10d	$C_{11}:F_{11}$	$C_{11}:F_{11}$	$1210$	1210.a1.a1	$1$	1210.a1.a1	$1$	$1210$	$1$