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Results (45 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
432.458.1a	$1$	R		$1$	$\Q$	432.458.1a	$C_{12}.S_3^2$	$C_1$	$1$	1.a1.a1	$432$	1.a1.a1	$432$	$1$	$1$
432.458.1b	$1$	R		$1$	$\Q$	432.458.1b	$C_{12}.S_3^2$	$C_2$	$2$	2.c1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.1c	$1$	R		$1$	$\Q$	432.458.1c	$C_{12}.S_3^2$	$C_2$	$2$	2.b1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.1d	$1$	R		$1$	$\Q$	432.458.1d	$C_{12}.S_3^2$	$C_2$	$2$	2.a1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.2a	$2$	R		$1$	$\Q$	432.458.2a	$C_{12}.S_3^2$	$S_3$	$6$	6.c1.a1	$72$	6.c1.a1	$72$	$6$	$1$
432.458.2b	$2$	R		$1$	$\Q$	432.458.2b	$C_{12}.S_3^2$	$S_3$	$6$	6.b1.a1	$72$	6.b1.a1	$72$	$6$	$1$
432.458.2c	$2$	R		$1$	$\Q$	432.458.2c	$C_{12}.S_3^2$	$S_3$	$6$	6.a1.a1	$72$	6.a1.a1	$72$	$6$	$1$
432.458.2d	$2$	R		$1$	$\Q$	432.458.2d	$C_{12}.S_3^2$	$D_4$	$8$	8.a1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.458.2e	$2$	R		$1$	$\Q$	432.458.2e	$C_{12}.S_3^2$	$D_6$	$12$	12.b1.a1	$36$	6.a1.a1	$72$	$6$	$1$
432.458.2f	$2$	R		$1$	$\Q$	432.458.2f	$C_{12}.S_3^2$	$D_6$	$12$	12.c1.a1	$36$	6.c1.a1	$72$	$6$	$1$
432.458.2g	$2$	R		$1$	$\Q$	432.458.2g	$C_{12}.S_3^2$	$D_6$	$12$	12.a1.a1	$36$	6.b1.a1	$72$	$6$	$1$
432.458.2h1	$2$	C		$8$	$\Q(\sqrt{-2}) $	432.458.2h	$C_{12}.S_3^2$	$\SD_{16}$	$16$	16.a1.a1	$27$	8.a1.a1	$54$	$8$	$1$
432.458.2h2	$2$	C		$8$	$\Q(\sqrt{-2}) $	432.458.2h	$C_{12}.S_3^2$	$\SD_{16}$	$16$	16.a1.a1	$27$	8.a1.a1	$54$	$8$	$1$
432.458.2i1	$2$	R		$12$	$\Q(\sqrt{3}) $	432.458.2i	$C_{12}.S_3^2$	$D_{12}$	$24$	24.a1.a1	$18$	12.a1.a1	$36$	$12$	$1$
432.458.2i2	$2$	R		$12$	$\Q(\sqrt{3}) $	432.458.2i	$C_{12}.S_3^2$	$D_{12}$	$24$	24.a1.a1	$18$	12.a1.a1	$36$	$12$	$1$
432.458.2j1	$2$	C		$3$	$\Q(\sqrt{-3}) $	432.458.2j	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.c1.a1	$18$	12.c1.a1	$36$	$12$	$1$
432.458.2j2	$2$	C		$3$	$\Q(\sqrt{-3}) $	432.458.2j	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.c1.a1	$18$	12.c1.a1	$36$	$12$	$1$
432.458.2k1	$2$	C		$3$	$\Q(\sqrt{-3}) $	432.458.2k	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.b1.a1	$18$	12.b1.a1	$36$	$12$	$1$
432.458.2k2	$2$	C		$3$	$\Q(\sqrt{-3}) $	432.458.2k	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.b1.a1	$18$	12.b1.a1	$36$	$12$	$1$
432.458.2l1	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l2	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l3	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l4	$2$	C		$24$	$\Q(\sqrt{-2}, \sqrt{3})$	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.4a	$4$	R		$1$	$\Q$	432.458.4a	$C_{12}.S_3^2$	$S_3^2$	$36$	36.c1.a1	$12$	36.c1.a1	$12$	$36$	$1$
432.458.4b	$4$	R		$1$	$\Q$	432.458.4b	$C_{12}.S_3^2$	$S_3^2$	$36$	36.b1.a1	$12$	36.b1.a1	$12$	$36$	$1$
432.458.4c	$4$	R		$1$	$\Q$	432.458.4c	$C_{12}.S_3^2$	$S_3^2$	$36$	36.a1.a1	$12$	36.a1.a1	$12$	$36$	$1$
432.458.4d	$4$	R		$1$	$\Q$	432.458.4d	$C_{12}.S_3^2$	$C_3:D_{12}$	$72$	72.b1.a1	$6$	36.b1.a1	$12$	$36$	$1$
432.458.4e	$4$	R		$1$	$\Q$	432.458.4e	$C_{12}.S_3^2$	$C_3:D_{12}$	$72$	72.a1.a1	$6$	36.a1.a1	$12$	$36$	$1$
432.458.4f	$4$	R		$1$	$\Q$	432.458.4f	$C_{12}.S_3^2$	$Q_8:S_3$	$48$	48.c1.a1	$9$	24.c1.a1	$18$	$24$	$1$
432.458.4g	$4$	S		$1$	$\Q$	432.458.4g	$C_{12}.S_3^2$	$C_3:\SD_{16}$	$48$	48.b1.a1	$9$	24.b1.a1	$18$	$24$	$2$
432.458.4h	$4$	S		$1$	$\Q$	432.458.4h	$C_{12}.S_3^2$	$D_6:S_3$	$72$	72.c1.a1	$6$	36.c1.a1	$12$	$36$	$2$
432.458.4i1	$4$	C		$3$	$\Q(\sqrt{-3}) $	432.458.4i	$C_{12}.S_3^2$	$C_3:S_3^2$	$108$	108.a1.a1	$4$	108.a1.a1	$4$	$108$	$1$
432.458.4i2	$4$	C		$3$	$\Q(\sqrt{-3}) $	432.458.4i	$C_{12}.S_3^2$	$C_3:S_3^2$	$108$	108.a1.a1	$4$	108.a1.a1	$4$	$108$	$1$
432.458.4j1	$4$	R		$12$	$\Q(\sqrt{3}) $	432.458.4j	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.b1.a1	$3$	72.b1.a1	$6$	$72$	$1$
432.458.4j2	$4$	R		$12$	$\Q(\sqrt{3}) $	432.458.4j	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.b1.a1	$3$	72.b1.a1	$6$	$72$	$1$
432.458.4k1	$4$	C		$3$	$\Q(\sqrt{-3}) $	432.458.4k	$C_{12}.S_3^2$	$C_3^2:D_{12}$	$216$	216.a1.a1	$2$	108.a1.a1	$4$	$108$	$1$
432.458.4k2	$4$	C		$3$	$\Q(\sqrt{-3}) $	432.458.4k	$C_{12}.S_3^2$	$C_3^2:D_{12}$	$216$	216.a1.a1	$2$	108.a1.a1	$4$	$108$	$1$
432.458.4l1	$4$	C		$4$	$\Q(\sqrt{-1}) $	432.458.4l	$C_{12}.S_3^2$	$C_{12}.D_6$	$144$	144.c1.a1	$3$	72.c1.a1	$6$	$72$	$1$
432.458.4l2	$4$	C		$4$	$\Q(\sqrt{-1}) $	432.458.4l	$C_{12}.S_3^2$	$C_{12}.D_6$	$144$	144.c1.a1	$3$	72.c1.a1	$6$	$72$	$1$
432.458.4m1	$4$	S		$12$	$\Q(\sqrt{3}) $	432.458.4m	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$2$
432.458.4m2	$4$	S		$12$	$\Q(\sqrt{3}) $	432.458.4m	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$2$
432.458.4n1	$4$	C	✓	$12$	$\Q(\sqrt{-1}) $	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n2	$4$	C	✓	$12$	$\Q(\sqrt{-1}) $	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n3	$4$	C	✓	$12$	$\Q(\sqrt{-1}) $	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n4	$4$	C	✓	$12$	$\Q(\sqrt{-1}) $	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$

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Results (45 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
432.458.1a	$1$	R		$1$	\(\Q\)	432.458.1a	$C_{12}.S_3^2$	$C_1$	$1$	1.a1.a1	$432$	1.a1.a1	$432$	$1$	$1$
432.458.1b	$1$	R		$1$	\(\Q\)	432.458.1b	$C_{12}.S_3^2$	$C_2$	$2$	2.c1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.1c	$1$	R		$1$	\(\Q\)	432.458.1c	$C_{12}.S_3^2$	$C_2$	$2$	2.b1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.1d	$1$	R		$1$	\(\Q\)	432.458.1d	$C_{12}.S_3^2$	$C_2$	$2$	2.a1.a1	$216$	1.a1.a1	$432$	$1$	$1$
432.458.2a	$2$	R		$1$	\(\Q\)	432.458.2a	$C_{12}.S_3^2$	$S_3$	$6$	6.c1.a1	$72$	6.c1.a1	$72$	$6$	$1$
432.458.2b	$2$	R		$1$	\(\Q\)	432.458.2b	$C_{12}.S_3^2$	$S_3$	$6$	6.b1.a1	$72$	6.b1.a1	$72$	$6$	$1$
432.458.2c	$2$	R		$1$	\(\Q\)	432.458.2c	$C_{12}.S_3^2$	$S_3$	$6$	6.a1.a1	$72$	6.a1.a1	$72$	$6$	$1$
432.458.2d	$2$	R		$1$	\(\Q\)	432.458.2d	$C_{12}.S_3^2$	$D_4$	$8$	8.a1.a1	$54$	4.a1.a1	$108$	$4$	$1$
432.458.2e	$2$	R		$1$	\(\Q\)	432.458.2e	$C_{12}.S_3^2$	$D_6$	$12$	12.b1.a1	$36$	6.a1.a1	$72$	$6$	$1$
432.458.2f	$2$	R		$1$	\(\Q\)	432.458.2f	$C_{12}.S_3^2$	$D_6$	$12$	12.c1.a1	$36$	6.c1.a1	$72$	$6$	$1$
432.458.2g	$2$	R		$1$	\(\Q\)	432.458.2g	$C_{12}.S_3^2$	$D_6$	$12$	12.a1.a1	$36$	6.b1.a1	$72$	$6$	$1$
432.458.2h1	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	432.458.2h	$C_{12}.S_3^2$	$\SD_{16}$	$16$	16.a1.a1	$27$	8.a1.a1	$54$	$8$	$1$
432.458.2h2	$2$	C		$8$	\(\Q(\sqrt{-2}) \)	432.458.2h	$C_{12}.S_3^2$	$\SD_{16}$	$16$	16.a1.a1	$27$	8.a1.a1	$54$	$8$	$1$
432.458.2i1	$2$	R		$12$	\(\Q(\sqrt{3}) \)	432.458.2i	$C_{12}.S_3^2$	$D_{12}$	$24$	24.a1.a1	$18$	12.a1.a1	$36$	$12$	$1$
432.458.2i2	$2$	R		$12$	\(\Q(\sqrt{3}) \)	432.458.2i	$C_{12}.S_3^2$	$D_{12}$	$24$	24.a1.a1	$18$	12.a1.a1	$36$	$12$	$1$
432.458.2j1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.2j	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.c1.a1	$18$	12.c1.a1	$36$	$12$	$1$
432.458.2j2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.2j	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.c1.a1	$18$	12.c1.a1	$36$	$12$	$1$
432.458.2k1	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.2k	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.b1.a1	$18$	12.b1.a1	$36$	$12$	$1$
432.458.2k2	$2$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.2k	$C_{12}.S_3^2$	$C_3:D_4$	$24$	24.b1.a1	$18$	12.b1.a1	$36$	$12$	$1$
432.458.2l1	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l2	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l3	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.2l4	$2$	C		$24$	\(\Q(\sqrt{-2}, \sqrt{3})\)	432.458.2l	$C_{12}.S_3^2$	$C_{24}:C_2$	$48$	48.a1.a1	$9$	24.a1.a1	$18$	$24$	$1$
432.458.4a	$4$	R		$1$	\(\Q\)	432.458.4a	$C_{12}.S_3^2$	$S_3^2$	$36$	36.c1.a1	$12$	36.c1.a1	$12$	$36$	$1$
432.458.4b	$4$	R		$1$	\(\Q\)	432.458.4b	$C_{12}.S_3^2$	$S_3^2$	$36$	36.b1.a1	$12$	36.b1.a1	$12$	$36$	$1$
432.458.4c	$4$	R		$1$	\(\Q\)	432.458.4c	$C_{12}.S_3^2$	$S_3^2$	$36$	36.a1.a1	$12$	36.a1.a1	$12$	$36$	$1$
432.458.4d	$4$	R		$1$	\(\Q\)	432.458.4d	$C_{12}.S_3^2$	$C_3:D_{12}$	$72$	72.b1.a1	$6$	36.b1.a1	$12$	$36$	$1$
432.458.4e	$4$	R		$1$	\(\Q\)	432.458.4e	$C_{12}.S_3^2$	$C_3:D_{12}$	$72$	72.a1.a1	$6$	36.a1.a1	$12$	$36$	$1$
432.458.4f	$4$	R		$1$	\(\Q\)	432.458.4f	$C_{12}.S_3^2$	$Q_8:S_3$	$48$	48.c1.a1	$9$	24.c1.a1	$18$	$24$	$1$
432.458.4g	$4$	S		$1$	\(\Q\)	432.458.4g	$C_{12}.S_3^2$	$C_3:\SD_{16}$	$48$	48.b1.a1	$9$	24.b1.a1	$18$	$24$	$2$
432.458.4h	$4$	S		$1$	\(\Q\)	432.458.4h	$C_{12}.S_3^2$	$D_6:S_3$	$72$	72.c1.a1	$6$	36.c1.a1	$12$	$36$	$2$
432.458.4i1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.4i	$C_{12}.S_3^2$	$C_3:S_3^2$	$108$	108.a1.a1	$4$	108.a1.a1	$4$	$108$	$1$
432.458.4i2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.4i	$C_{12}.S_3^2$	$C_3:S_3^2$	$108$	108.a1.a1	$4$	108.a1.a1	$4$	$108$	$1$
432.458.4j1	$4$	R		$12$	\(\Q(\sqrt{3}) \)	432.458.4j	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.b1.a1	$3$	72.b1.a1	$6$	$72$	$1$
432.458.4j2	$4$	R		$12$	\(\Q(\sqrt{3}) \)	432.458.4j	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.b1.a1	$3$	72.b1.a1	$6$	$72$	$1$
432.458.4k1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.4k	$C_{12}.S_3^2$	$C_3^2:D_{12}$	$216$	216.a1.a1	$2$	108.a1.a1	$4$	$108$	$1$
432.458.4k2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	432.458.4k	$C_{12}.S_3^2$	$C_3^2:D_{12}$	$216$	216.a1.a1	$2$	108.a1.a1	$4$	$108$	$1$
432.458.4l1	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	432.458.4l	$C_{12}.S_3^2$	$C_{12}.D_6$	$144$	144.c1.a1	$3$	72.c1.a1	$6$	$72$	$1$
432.458.4l2	$4$	C		$4$	\(\Q(\sqrt{-1}) \)	432.458.4l	$C_{12}.S_3^2$	$C_{12}.D_6$	$144$	144.c1.a1	$3$	72.c1.a1	$6$	$72$	$1$
432.458.4m1	$4$	S		$12$	\(\Q(\sqrt{3}) \)	432.458.4m	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$2$
432.458.4m2	$4$	S		$12$	\(\Q(\sqrt{3}) \)	432.458.4m	$C_{12}.S_3^2$	$C_6.D_{12}$	$144$	144.a1.a1	$3$	72.a1.a1	$6$	$72$	$2$
432.458.4n1	$4$	C	✓	$12$	\(\Q(\sqrt{-1}) \)	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n2	$4$	C	✓	$12$	\(\Q(\sqrt{-1}) \)	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n3	$4$	C	✓	$12$	\(\Q(\sqrt{-1}) \)	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$
432.458.4n4	$4$	C	✓	$12$	\(\Q(\sqrt{-1}) \)	432.458.4n	$C_{12}.S_3^2$	$C_{12}.S_3^2$	$432$	432.a1.a1	$1$	216.a1.a1	$2$	$216$	$1$