LMFDB - Complex character search results

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Results (1-50 of 56 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
128.902.1a	$1$	R		$1$	$\Q$	128.902.1a	$C_{16}.D_4$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.902.1b	$1$	R		$1$	$\Q$	128.902.1b	$C_{16}.D_4$	$C_2$	$2$	2.e1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1c	$1$	R		$1$	$\Q$	128.902.1c	$C_{16}.D_4$	$C_2$	$2$	2.d1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1d	$1$	R		$1$	$\Q$	128.902.1d	$C_{16}.D_4$	$C_2$	$2$	2.b1.b1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1e	$1$	R		$1$	$\Q$	128.902.1e	$C_{16}.D_4$	$C_2$	$2$	2.a1.b1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1f	$1$	R		$1$	$\Q$	128.902.1f	$C_{16}.D_4$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1g	$1$	R		$1$	$\Q$	128.902.1g	$C_{16}.D_4$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1h	$1$	R		$1$	$\Q$	128.902.1h	$C_{16}.D_4$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1i1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1i	$C_{16}.D_4$	$C_4$	$4$	4.h1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1i2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1i	$C_{16}.D_4$	$C_4$	$4$	4.h1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1j1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1j	$C_{16}.D_4$	$C_4$	$4$	4.a1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1j2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1j	$C_{16}.D_4$	$C_4$	$4$	4.a1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1k1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1k	$C_{16}.D_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1k2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1k	$C_{16}.D_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1l1	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1l	$C_{16}.D_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1l2	$1$	C		$4$	$\Q(\sqrt{-1}) $	128.902.1l	$C_{16}.D_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1m1	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m2	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m3	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m4	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n1	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n2	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n3	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n4	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o1	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o2	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o3	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o4	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p1	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p2	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p3	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p4	$1$	C		$8$	$\Q(\zeta_{8})$	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.2a	$2$	R		$1$	$\Q$	128.902.2a	$C_{16}.D_4$	$D_4$	$8$	8.i1.a1	$16$	4.e1.a1	$32$	$4$	$1$
128.902.2b	$2$	R		$1$	$\Q$	128.902.2b	$C_{16}.D_4$	$D_4$	$8$	8.h1.a1	$16$	4.e1.a1	$32$	$4$	$1$
128.902.2c1	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.902.2c	$C_{16}.D_4$	$D_4:C_2$	$16$	16.d1.a1	$8$	4.e1.a1	$32$	$4$	$1$
128.902.2c2	$2$	C		$4$	$\Q(\sqrt{-1}) $	128.902.2c	$C_{16}.D_4$	$D_4:C_2$	$16$	16.d1.a1	$8$	4.e1.a1	$32$	$4$	$1$
128.902.2d1	$2$	C		$8$	$\Q(\zeta_{8})$	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d2	$2$	C		$8$	$\Q(\zeta_{8})$	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d3	$2$	C		$8$	$\Q(\zeta_{8})$	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d4	$2$	C		$8$	$\Q(\zeta_{8})$	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2e1	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e2	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e3	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e4	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e5	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e6	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e7	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e8	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2f1	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2f	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2f2	$2$	C	✓	$16$	$\Q(\zeta_{16})$	128.902.2f	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$

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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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
128.902.1a	$1$	R		$1$	\(\Q\)	128.902.1a	$C_{16}.D_4$	$C_1$	$1$	1.a1.a1	$128$	1.a1.a1	$128$	$1$	$1$
128.902.1b	$1$	R		$1$	\(\Q\)	128.902.1b	$C_{16}.D_4$	$C_2$	$2$	2.e1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1c	$1$	R		$1$	\(\Q\)	128.902.1c	$C_{16}.D_4$	$C_2$	$2$	2.d1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1d	$1$	R		$1$	\(\Q\)	128.902.1d	$C_{16}.D_4$	$C_2$	$2$	2.b1.b1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1e	$1$	R		$1$	\(\Q\)	128.902.1e	$C_{16}.D_4$	$C_2$	$2$	2.a1.b1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1f	$1$	R		$1$	\(\Q\)	128.902.1f	$C_{16}.D_4$	$C_2$	$2$	2.b1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1g	$1$	R		$1$	\(\Q\)	128.902.1g	$C_{16}.D_4$	$C_2$	$2$	2.a1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1h	$1$	R		$1$	\(\Q\)	128.902.1h	$C_{16}.D_4$	$C_2$	$2$	2.c1.a1	$64$	1.a1.a1	$128$	$1$	$1$
128.902.1i1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1i	$C_{16}.D_4$	$C_4$	$4$	4.h1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1i2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1i	$C_{16}.D_4$	$C_4$	$4$	4.h1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1j1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1j	$C_{16}.D_4$	$C_4$	$4$	4.a1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1j2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1j	$C_{16}.D_4$	$C_4$	$4$	4.a1.b1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1k1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1k	$C_{16}.D_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1k2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1k	$C_{16}.D_4$	$C_4$	$4$	4.a1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1l1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1l	$C_{16}.D_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1l2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.1l	$C_{16}.D_4$	$C_4$	$4$	4.c1.a1	$32$	1.a1.a1	$128$	$1$	$1$
128.902.1m1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1m4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1m	$C_{16}.D_4$	$C_8$	$8$	8.j1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1n4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1n	$C_{16}.D_4$	$C_8$	$8$	8.f1.b1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1o4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1o	$C_{16}.D_4$	$C_8$	$8$	8.f1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p1	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p2	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p3	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.1p4	$1$	C		$8$	\(\Q(\zeta_{8})\)	128.902.1p	$C_{16}.D_4$	$C_8$	$8$	8.g1.a1	$16$	1.a1.a1	$128$	$1$	$1$
128.902.2a	$2$	R		$1$	\(\Q\)	128.902.2a	$C_{16}.D_4$	$D_4$	$8$	8.i1.a1	$16$	4.e1.a1	$32$	$4$	$1$
128.902.2b	$2$	R		$1$	\(\Q\)	128.902.2b	$C_{16}.D_4$	$D_4$	$8$	8.h1.a1	$16$	4.e1.a1	$32$	$4$	$1$
128.902.2c1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.2c	$C_{16}.D_4$	$D_4:C_2$	$16$	16.d1.a1	$8$	4.e1.a1	$32$	$4$	$1$
128.902.2c2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	128.902.2c	$C_{16}.D_4$	$D_4:C_2$	$16$	16.d1.a1	$8$	4.e1.a1	$32$	$4$	$1$
128.902.2d1	$2$	C		$8$	\(\Q(\zeta_{8})\)	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d2	$2$	C		$8$	\(\Q(\zeta_{8})\)	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d3	$2$	C		$8$	\(\Q(\zeta_{8})\)	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2d4	$2$	C		$8$	\(\Q(\zeta_{8})\)	128.902.2d	$C_{16}.D_4$	$\OD_{16}:C_2$	$32$	32.a1.a1	$4$	4.e1.a1	$32$	$4$	$1$
128.902.2e1	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e2	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e3	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e4	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e5	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e6	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e7	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2e8	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2e	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2f1	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2f	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$
128.902.2f2	$2$	C	✓	$16$	\(\Q(\zeta_{16})\)	128.902.2f	$C_{16}.D_4$	$C_{16}.D_4$	$128$	128.a1.a1	$1$	8.h1.a1	$16$	$8$	$1$