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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 (14 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
80.31.1a	$1$	R		$1$	\(\Q\)	80.31.1a	$C_{20}:C_4$	$C_1$	$1$	1.a1.a1	$80$	1.a1.a1	$80$	$1$	$1$
80.31.1b	$1$	R		$1$	\(\Q\)	80.31.1b	$C_{20}:C_4$	$C_2$	$2$	2.b1.a1	$40$	1.a1.a1	$80$	$1$	$1$
80.31.1c	$1$	R		$1$	\(\Q\)	80.31.1c	$C_{20}:C_4$	$C_2$	$2$	2.b1.b1	$40$	1.a1.a1	$80$	$1$	$1$
80.31.1d	$1$	R		$1$	\(\Q\)	80.31.1d	$C_{20}:C_4$	$C_2$	$2$	2.a1.a1	$40$	1.a1.a1	$80$	$1$	$1$
80.31.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	80.31.1e	$C_{20}:C_4$	$C_4$	$4$	4.c1.a1	$20$	1.a1.a1	$80$	$1$	$1$
80.31.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	80.31.1e	$C_{20}:C_4$	$C_4$	$4$	4.c1.a1	$20$	1.a1.a1	$80$	$1$	$1$
80.31.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	80.31.1f	$C_{20}:C_4$	$C_4$	$4$	4.b1.a1	$20$	1.a1.a1	$80$	$1$	$1$
80.31.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	80.31.1f	$C_{20}:C_4$	$C_4$	$4$	4.b1.a1	$20$	1.a1.a1	$80$	$1$	$1$
80.31.2a	$2$	R		$1$	\(\Q\)	80.31.2a	$C_{20}:C_4$	$D_4$	$8$	8.c1.a1	$10$	4.a1.a1	$20$	$4$	$1$
80.31.2b	$2$	S		$1$	\(\Q\)	80.31.2b	$C_{20}:C_4$	$Q_8$	$8$	8.b1.a1	$10$	4.a1.a1	$20$	$4$	$2$
80.31.4a	$4$	R		$1$	\(\Q\)	80.31.4a	$C_{20}:C_4$	$F_5$	$20$	20.a1.a1	$4$	20.a1.a1	$4$	$20$	$1$
80.31.4b	$4$	R		$1$	\(\Q\)	80.31.4b	$C_{20}:C_4$	$C_2\times F_5$	$40$	40.a1.a1	$2$	20.a1.a1	$4$	$20$	$1$
80.31.4c1	$4$	C	✓	$20$	\(\Q(\sqrt{-5}) \)	80.31.4c	$C_{20}:C_4$	$C_{20}:C_4$	$80$	80.a1.a1	$1$	40.a1.a1	$2$	$40$	$1$
80.31.4c2	$4$	C	✓	$20$	\(\Q(\sqrt{-5}) \)	80.31.4c	$C_{20}:C_4$	$C_{20}:C_4$	$80$	80.a1.a1	$1$	40.a1.a1	$2$	$40$	$1$

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