Complex character search results

Results (16 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
40.5.1a	$1$	R		$1$	\(\Q\)	40.5.1a	$C_4\times D_5$	$C_1$	$1$	1.a1.a1	$40$	1.a1.a1	$40$	$1$	$1$
40.5.1b	$1$	R		$1$	\(\Q\)	40.5.1b	$C_4\times D_5$	$C_2$	$2$	2.c1.a1	$20$	1.a1.a1	$40$	$1$	$1$
40.5.1c	$1$	R		$1$	\(\Q\)	40.5.1c	$C_4\times D_5$	$C_2$	$2$	2.b1.a1	$20$	1.a1.a1	$40$	$1$	$1$
40.5.1d	$1$	R		$1$	\(\Q\)	40.5.1d	$C_4\times D_5$	$C_2$	$2$	2.a1.a1	$20$	1.a1.a1	$40$	$1$	$1$
40.5.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	40.5.1e	$C_4\times D_5$	$C_4$	$4$	4.b1.b1	$10$	1.a1.a1	$40$	$1$	$1$
40.5.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	40.5.1e	$C_4\times D_5$	$C_4$	$4$	4.b1.b1	$10$	1.a1.a1	$40$	$1$	$1$
40.5.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	40.5.1f	$C_4\times D_5$	$C_4$	$4$	4.b1.a1	$10$	1.a1.a1	$40$	$1$	$1$
40.5.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	40.5.1f	$C_4\times D_5$	$C_4$	$4$	4.b1.a1	$10$	1.a1.a1	$40$	$1$	$1$
40.5.2a1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	40.5.2a	$C_4\times D_5$	$D_5$	$10$	10.a1.a1	$4$	10.a1.a1	$4$	$10$	$1$
40.5.2a2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	40.5.2a	$C_4\times D_5$	$D_5$	$10$	10.a1.a1	$4$	10.a1.a1	$4$	$10$	$1$
40.5.2b1	$2$	R		$5$	\(\Q(\sqrt{5}) \)	40.5.2b	$C_4\times D_5$	$D_{10}$	$20$	20.a1.a1	$2$	10.a1.a1	$4$	$10$	$1$
40.5.2b2	$2$	R		$5$	\(\Q(\sqrt{5}) \)	40.5.2b	$C_4\times D_5$	$D_{10}$	$20$	20.a1.a1	$2$	10.a1.a1	$4$	$10$	$1$
40.5.2c1	$2$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	40.5.2c	$C_4\times D_5$	$C_4\times D_5$	$40$	40.a1.a1	$1$	10.a1.a1	$4$	$10$	$1$
40.5.2c2	$2$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	40.5.2c	$C_4\times D_5$	$C_4\times D_5$	$40$	40.a1.a1	$1$	10.a1.a1	$4$	$10$	$1$
40.5.2c3	$2$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	40.5.2c	$C_4\times D_5$	$C_4\times D_5$	$40$	40.a1.a1	$1$	10.a1.a1	$4$	$10$	$1$
40.5.2c4	$2$	C	✓	$20$	\(\Q(i, \sqrt{5})\)	40.5.2c	$C_4\times D_5$	$C_4\times D_5$	$40$	40.a1.a1	$1$	10.a1.a1	$4$	$10$	$1$

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