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Degree	Type	Faithful	Conductor

Group	Image	Image Order (Kernel Index)	Kernel Order

Center Order	Center Index

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Results (11 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
32.8.1a	$1$	R		$1$	\(\Q\)	32.8.1a	$C_4.D_4$	$C_1$	$1$	1.a1.a1	$32$	1.a1.a1	$32$	$1$	$1$
32.8.1b	$1$	R		$1$	\(\Q\)	32.8.1b	$C_4.D_4$	$C_2$	$2$	2.b1.a1	$16$	1.a1.a1	$32$	$1$	$1$
32.8.1c	$1$	R		$1$	\(\Q\)	32.8.1c	$C_4.D_4$	$C_2$	$2$	2.b1.b1	$16$	1.a1.a1	$32$	$1$	$1$
32.8.1d	$1$	R		$1$	\(\Q\)	32.8.1d	$C_4.D_4$	$C_2$	$2$	2.a1.a1	$16$	1.a1.a1	$32$	$1$	$1$
32.8.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	32.8.1e	$C_4.D_4$	$C_4$	$4$	4.b1.b1	$8$	1.a1.a1	$32$	$1$	$1$
32.8.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	32.8.1e	$C_4.D_4$	$C_4$	$4$	4.b1.b1	$8$	1.a1.a1	$32$	$1$	$1$
32.8.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	32.8.1f	$C_4.D_4$	$C_4$	$4$	4.b1.a1	$8$	1.a1.a1	$32$	$1$	$1$
32.8.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	32.8.1f	$C_4.D_4$	$C_4$	$4$	4.b1.a1	$8$	1.a1.a1	$32$	$1$	$1$
32.8.2a	$2$	R		$1$	\(\Q\)	32.8.2a	$C_4.D_4$	$D_4$	$8$	8.b1.b1	$4$	4.a1.a1	$8$	$4$	$1$
32.8.2b	$2$	R		$1$	\(\Q\)	32.8.2b	$C_4.D_4$	$D_4$	$8$	8.b1.a1	$4$	4.a1.a1	$8$	$4$	$1$
32.8.4a	$4$	S	✓	$1$	\(\Q\)	32.8.4a	$C_4.D_4$	$C_4.D_4$	$32$	32.a1.a1	$1$	16.a1.a1	$2$	$16$	$2$

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