Complex character search results

Results (38 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
1728.12235.1a	$1$	R		$1$	\(\Q\)	1728.12235.1a	$(C_4\times \He_3).\SD_{16}$	$C_1$	$1$	1.a1.a1	$1728$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1b	$1$	R		$1$	\(\Q\)	1728.12235.1b	$(C_4\times \He_3).\SD_{16}$	$C_2$	$2$	2.c1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1c	$1$	R		$1$	\(\Q\)	1728.12235.1c	$(C_4\times \He_3).\SD_{16}$	$C_2$	$2$	2.b1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1d	$1$	R		$1$	\(\Q\)	1728.12235.1d	$(C_4\times \He_3).\SD_{16}$	$C_2$	$2$	2.a1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.1e	$(C_4\times \He_3).\SD_{16}$	$C_4$	$4$	4.c1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.1e	$(C_4\times \He_3).\SD_{16}$	$C_4$	$4$	4.c1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.1f	$(C_4\times \He_3).\SD_{16}$	$C_4$	$4$	4.b1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.12235.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.1f	$(C_4\times \He_3).\SD_{16}$	$C_4$	$4$	4.b1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.12235.2a	$2$	R		$1$	\(\Q\)	1728.12235.2a	$(C_4\times \He_3).\SD_{16}$	$D_4$	$8$	8.b1.a1	$216$	4.a1.a1	$432$	$4$	$1$
1728.12235.2b	$2$	R		$1$	\(\Q\)	1728.12235.2b	$(C_4\times \He_3).\SD_{16}$	$D_4$	$8$	8.a1.a1	$216$	4.a1.a1	$432$	$4$	$1$
1728.12235.2c1	$2$	R		$8$	\(\Q(\sqrt{2}) \)	1728.12235.2c	$(C_4\times \He_3).\SD_{16}$	$D_8$	$16$	16.a1.a1	$108$	8.a1.a1	$216$	$8$	$1$
1728.12235.2c2	$2$	R		$8$	\(\Q(\sqrt{2}) \)	1728.12235.2c	$(C_4\times \He_3).\SD_{16}$	$D_8$	$16$	16.a1.a1	$108$	8.a1.a1	$216$	$8$	$1$
1728.12235.2d1	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	1728.12235.2d	$(C_4\times \He_3).\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$108$	8.a1.a1	$216$	$8$	$1$
1728.12235.2d2	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	1728.12235.2d	$(C_4\times \He_3).\SD_{16}$	$\SD_{16}$	$16$	16.b1.a1	$108$	8.a1.a1	$216$	$8$	$1$
1728.12235.4a1	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	1728.12235.4a	$(C_4\times \He_3).\SD_{16}$	$D_8:C_4$	$64$	64.a1.a1	$27$	32.a1.a1	$54$	$32$	$1$
1728.12235.4a2	$4$	C		$8$	\(\Q(\sqrt{-2}) \)	1728.12235.4a	$(C_4\times \He_3).\SD_{16}$	$D_8:C_4$	$64$	64.a1.a1	$27$	32.a1.a1	$54$	$32$	$1$
1728.12235.6a	$6$	R		$1$	\(\Q\)	1728.12235.6a	$(C_4\times \He_3).\SD_{16}$	$\He_3:\SD_{16}$	$432$	432.a1.a1	$4$	432.a1.a1	$4$	$432$	$1$
1728.12235.6b	$6$	R		$1$	\(\Q\)	1728.12235.6b	$(C_4\times \He_3).\SD_{16}$	$\He_3:\SD_{16}$	$432$	432.a1.a1	$4$	432.a1.a1	$4$	$432$	$1$
1728.12235.6c1	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	1728.12235.6c	$(C_4\times \He_3).\SD_{16}$	$\He_3:\SD_{16}$	$432$	432.a1.a1	$4$	432.a1.a1	$4$	$432$	$1$
1728.12235.6c2	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	1728.12235.6c	$(C_4\times \He_3).\SD_{16}$	$\He_3:\SD_{16}$	$432$	432.a1.a1	$4$	432.a1.a1	$4$	$432$	$1$
1728.12235.6d1	$6$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.6d	$(C_4\times \He_3).\SD_{16}$	$(C_2\times \He_3).\SD_{16}$	$864$	864.a1.a1	$2$	432.a1.a1	$4$	$432$	$1$
1728.12235.6d2	$6$	C		$4$	\(\Q(\sqrt{-1}) \)	1728.12235.6d	$(C_4\times \He_3).\SD_{16}$	$(C_2\times \He_3).\SD_{16}$	$864$	864.a1.a1	$2$	432.a1.a1	$4$	$432$	$1$
1728.12235.6e1	$6$	R		$12$	\(\Q(\sqrt{3}) \)	1728.12235.6e	$(C_4\times \He_3).\SD_{16}$	$(C_2\times \He_3).\SD_{16}$	$864$	864.a1.a1	$2$	432.a1.a1	$4$	$432$	$1$
1728.12235.6e2	$6$	R		$12$	\(\Q(\sqrt{3}) \)	1728.12235.6e	$(C_4\times \He_3).\SD_{16}$	$(C_2\times \He_3).\SD_{16}$	$864$	864.a1.a1	$2$	432.a1.a1	$4$	$432$	$1$
1728.12235.8a	$8$	R		$1$	\(\Q\)	1728.12235.8a	$(C_4\times \He_3).\SD_{16}$	$F_9:C_2$	$144$	144.a1.a1	$12$	144.a1.a1	$12$	$144$	$1$
1728.12235.8b	$8$	R		$1$	\(\Q\)	1728.12235.8b	$(C_4\times \He_3).\SD_{16}$	$F_9:C_2$	$144$	144.a1.a1	$12$	144.a1.a1	$12$	$144$	$1$
1728.12235.8c	$8$	R		$1$	\(\Q\)	1728.12235.8c	$(C_4\times \He_3).\SD_{16}$	$\SOPlus(4,2):C_4$	$288$	288.a1.a1	$6$	144.a1.a1	$12$	$144$	$1$
1728.12235.8d	$8$	R		$1$	\(\Q\)	1728.12235.8d	$(C_4\times \He_3).\SD_{16}$	$\SOPlus(4,2):C_4$	$288$	288.a1.a1	$6$	144.a1.a1	$12$	$144$	$1$
1728.12235.8e1	$8$	C		$12$	\(\Q(\sqrt{-1}) \)	1728.12235.8e	$(C_4\times \He_3).\SD_{16}$	$(C_3\times C_{12}).\SD_{16}$	$576$	576.a1.a1	$3$	288.a1.a1	$6$	$288$	$1$
1728.12235.8e2	$8$	C		$12$	\(\Q(\sqrt{-1}) \)	1728.12235.8e	$(C_4\times \He_3).\SD_{16}$	$(C_3\times C_{12}).\SD_{16}$	$576$	576.a1.a1	$3$	288.a1.a1	$6$	$288$	$1$
1728.12235.8e3	$8$	C		$12$	\(\Q(\sqrt{-1}) \)	1728.12235.8e	$(C_4\times \He_3).\SD_{16}$	$(C_3\times C_{12}).\SD_{16}$	$576$	576.a1.a1	$3$	288.a1.a1	$6$	$288$	$1$
1728.12235.8e4	$8$	C		$12$	\(\Q(\sqrt{-1}) \)	1728.12235.8e	$(C_4\times \He_3).\SD_{16}$	$(C_3\times C_{12}).\SD_{16}$	$576$	576.a1.a1	$3$	288.a1.a1	$6$	$288$	$1$
1728.12235.12a	$12$	R		$1$	\(\Q\)	1728.12235.12a	$(C_4\times \He_3).\SD_{16}$	$\He_3:\SD_{16}$	$432$	432.a1.a1	$4$	432.a1.a1	$4$	$432$	$1$
1728.12235.12b	$12$	R		$1$	\(\Q\)	1728.12235.12b	$(C_4\times \He_3).\SD_{16}$	$(C_2\times \He_3).\SD_{16}$	$864$	864.a1.a1	$2$	432.a1.a1	$4$	$432$	$2$
1728.12235.12c1	$12$	C	✓	$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	1728.12235.12c	$(C_4\times \He_3).\SD_{16}$	$(C_4\times \He_3).\SD_{16}$	$1728$	1728.a1.a1	$1$	864.a1.a1	$2$	$864$	$1$
1728.12235.12c2	$12$	C	✓	$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	1728.12235.12c	$(C_4\times \He_3).\SD_{16}$	$(C_4\times \He_3).\SD_{16}$	$1728$	1728.a1.a1	$1$	864.a1.a1	$2$	$864$	$1$
1728.12235.12c3	$12$	C	✓	$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	1728.12235.12c	$(C_4\times \He_3).\SD_{16}$	$(C_4\times \He_3).\SD_{16}$	$1728$	1728.a1.a1	$1$	864.a1.a1	$2$	$864$	$1$
1728.12235.12c4	$12$	C	✓	$24$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	1728.12235.12c	$(C_4\times \He_3).\SD_{16}$	$(C_4\times \He_3).\SD_{16}$	$1728$	1728.a1.a1	$1$	864.a1.a1	$2$	$864$	$1$

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