Complex character search results

Results (39 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
7920.c.1a	$1$	R		$1$	\(\Q\)	7920.c.1a	$\SL(2,11):S_3$	$C_1$	$1$	1.a1.a1	$7920$	1.a1.a1	$7920$	$1$	$1$
7920.c.1b	$1$	R		$1$	\(\Q\)	7920.c.1b	$\SL(2,11):S_3$	$C_2$	$2$	2.a1.a1	$3960$	1.a1.a1	$7920$	$1$	$1$
7920.c.2a	$2$	R		$1$	\(\Q\)	7920.c.2a	$\SL(2,11):S_3$	$S_3$	$6$	6.a1.a1	$1320$	6.a1.a1	$1320$	$6$	$1$
7920.c.10a	$10$	R		$1$	\(\Q\)	7920.c.10a	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10b	$10$	R		$1$	\(\Q\)	7920.c.10b	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10c	$10$	R		$1$	\(\Q\)	7920.c.10c	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10d1	$10$	R		$12$	\(\Q(\sqrt{3}) \)	7920.c.10d	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10d2	$10$	R		$12$	\(\Q(\sqrt{3}) \)	7920.c.10d	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10e1	$10$	R		$33$	\(\Q(\sqrt{33}) \)	7920.c.10e	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.10e2	$10$	R		$33$	\(\Q(\sqrt{33}) \)	7920.c.10e	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.10f1	$10$	C		$8$	\(\Q(\sqrt{-2}) \)	7920.c.10f	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10f2	$10$	C		$8$	\(\Q(\sqrt{-2}) \)	7920.c.10f	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10g1	$10$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	7920.c.10g	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10g2	$10$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	7920.c.10g	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10g3	$10$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	7920.c.10g	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.10g4	$10$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	7920.c.10g	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.11a	$11$	R		$1$	\(\Q\)	7920.c.11a	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.11b	$11$	R		$1$	\(\Q\)	7920.c.11b	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12a	$12$	R		$1$	\(\Q\)	7920.c.12a	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12b1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.12b	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12b2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.12b	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12c1	$12$	R	✓	$33$	\(\Q(\sqrt{33}) \)	7920.c.12c	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$1$
7920.c.12c2	$12$	R	✓	$33$	\(\Q(\sqrt{33}) \)	7920.c.12c	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$1$
7920.c.12d1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.12d	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12d2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.12d	$\SL(2,11):S_3$	$\PGL(2,11)$	$1320$	1320.a1.a1	$6$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12e1	$12$	C		$5$	\(\Q(\zeta_{5})\)	7920.c.12e	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12e2	$12$	C		$5$	\(\Q(\zeta_{5})\)	7920.c.12e	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12e3	$12$	C		$5$	\(\Q(\zeta_{5})\)	7920.c.12e	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.12e4	$12$	C		$5$	\(\Q(\zeta_{5})\)	7920.c.12e	$\SL(2,11):S_3$	$\SL(2,11):C_2$	$2640$	2640.a1.a1	$3$	1320.a1.a1	$6$	$1320$	$1$
7920.c.20a	$20$	R		$1$	\(\Q\)	7920.c.20a	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.20b	$20$	R		$1$	\(\Q\)	7920.c.20b	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.20c	$20$	R	✓	$1$	\(\Q\)	7920.c.20c	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$1$
7920.c.20d1	$20$	R	✓	$12$	\(\Q(\sqrt{3}) \)	7920.c.20d	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$1$
7920.c.20d2	$20$	R	✓	$12$	\(\Q(\sqrt{3}) \)	7920.c.20d	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$1$
7920.c.22a	$22$	R		$1$	\(\Q\)	7920.c.22a	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.24a1	$24$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.24a	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.24a2	$24$	R		$5$	\(\Q(\sqrt{5}) \)	7920.c.24a	$\SL(2,11):S_3$	$C_3:\PGL(2,11)$	$3960$	3960.a1.a1	$2$	3960.a1.a1	$2$	$3960$	$1$
7920.c.24b1	$24$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7920.c.24b	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$2$
7920.c.24b2	$24$	R	✓	$5$	\(\Q(\sqrt{5}) \)	7920.c.24b	$\SL(2,11):S_3$	$\SL(2,11):S_3$	$7920$	7920.a1.a1	$1$	3960.a1.a1	$2$	$3960$	$2$

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