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Results (31 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
216.66.1a	$1$	R		$1$	$\Q$	216.66.1a	$\He_3:Q_8$	$C_1$	$1$	1.a1.a1	$216$	1.a1.a1	$216$	$1$	$1$
216.66.1b	$1$	R		$1$	$\Q$	216.66.1b	$\He_3:Q_8$	$C_2$	$2$	2.b1.b1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.1c	$1$	R		$1$	$\Q$	216.66.1c	$\He_3:Q_8$	$C_2$	$2$	2.b1.a1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.1d	$1$	R		$1$	$\Q$	216.66.1d	$\He_3:Q_8$	$C_2$	$2$	2.a1.a1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.2a	$2$	R		$1$	$\Q$	216.66.2a	$\He_3:Q_8$	$S_3$	$6$	6.a1.d1	$36$	6.a1.d1	$36$	$6$	$1$
216.66.2b	$2$	R		$1$	$\Q$	216.66.2b	$\He_3:Q_8$	$S_3$	$6$	6.a1.c1	$36$	6.a1.c1	$36$	$6$	$1$
216.66.2c	$2$	R		$1$	$\Q$	216.66.2c	$\He_3:Q_8$	$S_3$	$6$	6.a1.b1	$36$	6.a1.b1	$36$	$6$	$1$
216.66.2d	$2$	R		$1$	$\Q$	216.66.2d	$\He_3:Q_8$	$S_3$	$6$	6.a1.a1	$36$	6.a1.a1	$36$	$6$	$1$
216.66.2e	$2$	R		$1$	$\Q$	216.66.2e	$\He_3:Q_8$	$D_6$	$12$	12.a1.d1	$18$	6.a1.d1	$36$	$6$	$1$
216.66.2f	$2$	R		$1$	$\Q$	216.66.2f	$\He_3:Q_8$	$D_6$	$12$	12.a1.c1	$18$	6.a1.c1	$36$	$6$	$1$
216.66.2g	$2$	R		$1$	$\Q$	216.66.2g	$\He_3:Q_8$	$D_6$	$12$	12.a1.b1	$18$	6.a1.b1	$36$	$6$	$1$
216.66.2h	$2$	R		$1$	$\Q$	216.66.2h	$\He_3:Q_8$	$D_6$	$12$	12.a1.a1	$18$	6.a1.a1	$36$	$6$	$1$
216.66.2i	$2$	S		$1$	$\Q$	216.66.2i	$\He_3:Q_8$	$Q_8$	$8$	8.a1.a1	$27$	4.a1.a1	$54$	$4$	$2$
216.66.2j1	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2j	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.d1	$9$	12.a1.d1	$18$	$12$	$2$
216.66.2j2	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2j	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.d1	$9$	12.a1.d1	$18$	$12$	$2$
216.66.2k1	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2k	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.c1	$9$	12.a1.c1	$18$	$12$	$2$
216.66.2k2	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2k	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.c1	$9$	12.a1.c1	$18$	$12$	$2$
216.66.2l1	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2l	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.b1	$9$	12.a1.b1	$18$	$12$	$2$
216.66.2l2	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2l	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.b1	$9$	12.a1.b1	$18$	$12$	$2$
216.66.2m1	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2m	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.a1	$9$	12.a1.a1	$18$	$12$	$2$
216.66.2m2	$2$	S		$12$	$\Q(\sqrt{3}) $	216.66.2m	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.a1	$9$	12.a1.a1	$18$	$12$	$2$
216.66.3a1	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3a	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3a2	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3a	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3b1	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3b	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3b2	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3b	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3c1	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3c	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3c2	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3c	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3d1	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3d	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3d2	$3$	C		$3$	$\Q(\sqrt{-3}) $	216.66.3d	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.6a1	$6$	C	✓	$3$	$\Q(\sqrt{-3}) $	216.66.6a	$\He_3:Q_8$	$\He_3:Q_8$	$216$	216.a1.a1	$1$	36.a1.a1	$6$	$36$	$1$
216.66.6a2	$6$	C	✓	$3$	$\Q(\sqrt{-3}) $	216.66.6a	$\He_3:Q_8$	$\He_3:Q_8$	$216$	216.a1.a1	$1$	36.a1.a1	$6$	$36$	$1$

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Results (31 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
216.66.1a	$1$	R		$1$	\(\Q\)	216.66.1a	$\He_3:Q_8$	$C_1$	$1$	1.a1.a1	$216$	1.a1.a1	$216$	$1$	$1$
216.66.1b	$1$	R		$1$	\(\Q\)	216.66.1b	$\He_3:Q_8$	$C_2$	$2$	2.b1.b1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.1c	$1$	R		$1$	\(\Q\)	216.66.1c	$\He_3:Q_8$	$C_2$	$2$	2.b1.a1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.1d	$1$	R		$1$	\(\Q\)	216.66.1d	$\He_3:Q_8$	$C_2$	$2$	2.a1.a1	$108$	1.a1.a1	$216$	$1$	$1$
216.66.2a	$2$	R		$1$	\(\Q\)	216.66.2a	$\He_3:Q_8$	$S_3$	$6$	6.a1.d1	$36$	6.a1.d1	$36$	$6$	$1$
216.66.2b	$2$	R		$1$	\(\Q\)	216.66.2b	$\He_3:Q_8$	$S_3$	$6$	6.a1.c1	$36$	6.a1.c1	$36$	$6$	$1$
216.66.2c	$2$	R		$1$	\(\Q\)	216.66.2c	$\He_3:Q_8$	$S_3$	$6$	6.a1.b1	$36$	6.a1.b1	$36$	$6$	$1$
216.66.2d	$2$	R		$1$	\(\Q\)	216.66.2d	$\He_3:Q_8$	$S_3$	$6$	6.a1.a1	$36$	6.a1.a1	$36$	$6$	$1$
216.66.2e	$2$	R		$1$	\(\Q\)	216.66.2e	$\He_3:Q_8$	$D_6$	$12$	12.a1.d1	$18$	6.a1.d1	$36$	$6$	$1$
216.66.2f	$2$	R		$1$	\(\Q\)	216.66.2f	$\He_3:Q_8$	$D_6$	$12$	12.a1.c1	$18$	6.a1.c1	$36$	$6$	$1$
216.66.2g	$2$	R		$1$	\(\Q\)	216.66.2g	$\He_3:Q_8$	$D_6$	$12$	12.a1.b1	$18$	6.a1.b1	$36$	$6$	$1$
216.66.2h	$2$	R		$1$	\(\Q\)	216.66.2h	$\He_3:Q_8$	$D_6$	$12$	12.a1.a1	$18$	6.a1.a1	$36$	$6$	$1$
216.66.2i	$2$	S		$1$	\(\Q\)	216.66.2i	$\He_3:Q_8$	$Q_8$	$8$	8.a1.a1	$27$	4.a1.a1	$54$	$4$	$2$
216.66.2j1	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2j	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.d1	$9$	12.a1.d1	$18$	$12$	$2$
216.66.2j2	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2j	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.d1	$9$	12.a1.d1	$18$	$12$	$2$
216.66.2k1	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2k	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.c1	$9$	12.a1.c1	$18$	$12$	$2$
216.66.2k2	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2k	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.c1	$9$	12.a1.c1	$18$	$12$	$2$
216.66.2l1	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2l	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.b1	$9$	12.a1.b1	$18$	$12$	$2$
216.66.2l2	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2l	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.b1	$9$	12.a1.b1	$18$	$12$	$2$
216.66.2m1	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2m	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.a1	$9$	12.a1.a1	$18$	$12$	$2$
216.66.2m2	$2$	S		$12$	\(\Q(\sqrt{3}) \)	216.66.2m	$\He_3:Q_8$	$C_3:Q_8$	$24$	24.a1.a1	$9$	12.a1.a1	$18$	$12$	$2$
216.66.3a1	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3a	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3a2	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3a	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3b1	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3b	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3b2	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3b	$\He_3:Q_8$	$C_3^2:S_3$	$54$	54.a1.a1	$4$	18.a1.a1	$12$	$18$	$1$
216.66.3c1	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3c	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3c2	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3c	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3d1	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3d	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.3d2	$3$	C		$3$	\(\Q(\sqrt{-3}) \)	216.66.3d	$\He_3:Q_8$	$C_3^2:D_6$	$108$	108.a1.a1	$2$	18.a1.a1	$12$	$18$	$1$
216.66.6a1	$6$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	216.66.6a	$\He_3:Q_8$	$\He_3:Q_8$	$216$	216.a1.a1	$1$	36.a1.a1	$6$	$36$	$1$
216.66.6a2	$6$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	216.66.6a	$\He_3:Q_8$	$\He_3:Q_8$	$216$	216.a1.a1	$1$	36.a1.a1	$6$	$36$	$1$