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Results (1-50 of 123 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
34992.lp.1a	$1$	R	$1$	$\Q$	34992.lp.1a	$C_3^5.S_3^2:C_4$	$C_1$	$1$	1.a1	$34992$	1.a1	$34992$	$1$	$1$
34992.lp.1b	$1$	R	$1$	$\Q$	34992.lp.1b	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.b1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1c	$1$	R	$1$	$\Q$	34992.lp.1c	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.b1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1d	$1$	R	$1$	$\Q$	34992.lp.1d	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.a1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.1e	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.c1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.1e	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.c1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.1f	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.a1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.1f	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.a1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.2a	$2$	R	$1$	$\Q$	34992.lp.2a	$C_3^5.S_3^2:C_4$	$S_3$	$6$	6.a1	$5832$	6.a1	$5832$	$6$	$1$
34992.lp.2b	$2$	R	$1$	$\Q$	34992.lp.2b	$C_3^5.S_3^2:C_4$	$D_4$	$8$	8.a1	$4374$	4.b1	$8748$	$4$	$1$
34992.lp.2c	$2$	R	$1$	$\Q$	34992.lp.2c	$C_3^5.S_3^2:C_4$	$D_4$	$8$	8.a1	$4374$	4.b1	$8748$	$4$	$1$
34992.lp.2d	$2$	R	$1$	$\Q$	34992.lp.2d	$C_3^5.S_3^2:C_4$	$D_6$	$12$	12.b1	$2916$	6.a1	$5832$	$6$	$1$
34992.lp.2e	$2$	S	$1$	$\Q$	34992.lp.2e	$C_3^5.S_3^2:C_4$	$C_3:C_4$	$12$	12.c1	$2916$	6.a1	$5832$	$6$	$2$
34992.lp.2f	$2$	S	$1$	$\Q$	34992.lp.2f	$C_3^5.S_3^2:C_4$	$C_3:C_4$	$12$	12.a1	$2916$	6.a1	$5832$	$6$	$2$
34992.lp.2g1	$2$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.2g	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2g2	$2$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.2g	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2h1	$2$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.2h	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2h2	$2$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.2h	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.4a	$4$	R	$1$	$\Q$	34992.lp.4a	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4b	$4$	R	$1$	$\Q$	34992.lp.4b	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4c	$4$	R	$1$	$\Q$	34992.lp.4c	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4d	$4$	R	$1$	$\Q$	34992.lp.4d	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4e	$4$	R	$1$	$\Q$	34992.lp.4e	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4f	$4$	R	$1$	$\Q$	34992.lp.4f	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4g	$4$	R	$1$	$\Q$	34992.lp.4g	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4h	$4$	R	$1$	$\Q$	34992.lp.4h	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4i	$4$	R	$1$	$\Q$	34992.lp.4i	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4j	$4$	R	$1$	$\Q$	34992.lp.4j	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4k	$4$	R	$1$	$\Q$	34992.lp.4k	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4l	$4$	R	$1$	$\Q$	34992.lp.4l	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4m1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4m	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4m2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4m	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4n1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4n	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4n2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4n	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4o1	$4$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.4o	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4o2	$4$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.4o	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4p1	$4$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.4p	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4p2	$4$	C	$4$	$\Q(\sqrt{-1}) $	34992.lp.4p	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4q1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4q	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4q2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4q	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4r1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4r	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4r2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4r	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4s1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4s	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4s2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4s	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4t1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4t	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4t2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4t	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4u1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4u	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4u2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4u	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4v1	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4v	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4v2	$4$	C	$3$	$\Q(\sqrt{-3}) $	34992.lp.4v	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$

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Results (1-50 of 123 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	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
34992.lp.1a	$1$	R	$1$	\(\Q\)	34992.lp.1a	$C_3^5.S_3^2:C_4$	$C_1$	$1$	1.a1	$34992$	1.a1	$34992$	$1$	$1$
34992.lp.1b	$1$	R	$1$	\(\Q\)	34992.lp.1b	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.b1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1c	$1$	R	$1$	\(\Q\)	34992.lp.1c	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.b1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1d	$1$	R	$1$	\(\Q\)	34992.lp.1d	$C_3^5.S_3^2:C_4$	$C_2$	$2$	2.a1	$17496$	1.a1	$34992$	$1$	$1$
34992.lp.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.1e	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.c1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.1e	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.c1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.1f	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.a1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.1f	$C_3^5.S_3^2:C_4$	$C_4$	$4$	4.a1	$8748$	1.a1	$34992$	$1$	$1$
34992.lp.2a	$2$	R	$1$	\(\Q\)	34992.lp.2a	$C_3^5.S_3^2:C_4$	$S_3$	$6$	6.a1	$5832$	6.a1	$5832$	$6$	$1$
34992.lp.2b	$2$	R	$1$	\(\Q\)	34992.lp.2b	$C_3^5.S_3^2:C_4$	$D_4$	$8$	8.a1	$4374$	4.b1	$8748$	$4$	$1$
34992.lp.2c	$2$	R	$1$	\(\Q\)	34992.lp.2c	$C_3^5.S_3^2:C_4$	$D_4$	$8$	8.a1	$4374$	4.b1	$8748$	$4$	$1$
34992.lp.2d	$2$	R	$1$	\(\Q\)	34992.lp.2d	$C_3^5.S_3^2:C_4$	$D_6$	$12$	12.b1	$2916$	6.a1	$5832$	$6$	$1$
34992.lp.2e	$2$	S	$1$	\(\Q\)	34992.lp.2e	$C_3^5.S_3^2:C_4$	$C_3:C_4$	$12$	12.c1	$2916$	6.a1	$5832$	$6$	$2$
34992.lp.2f	$2$	S	$1$	\(\Q\)	34992.lp.2f	$C_3^5.S_3^2:C_4$	$C_3:C_4$	$12$	12.a1	$2916$	6.a1	$5832$	$6$	$2$
34992.lp.2g1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.2g	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2g2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.2g	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2h1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.2h	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.2h2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.2h	$C_3^5.S_3^2:C_4$	$C_3:D_4$	$24$	24.a1	$1458$	12.b1	$2916$	$12$	$1$
34992.lp.4a	$4$	R	$1$	\(\Q\)	34992.lp.4a	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4b	$4$	R	$1$	\(\Q\)	34992.lp.4b	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4c	$4$	R	$1$	\(\Q\)	34992.lp.4c	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4d	$4$	R	$1$	\(\Q\)	34992.lp.4d	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4e	$4$	R	$1$	\(\Q\)	34992.lp.4e	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4f	$4$	R	$1$	\(\Q\)	34992.lp.4f	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4g	$4$	R	$1$	\(\Q\)	34992.lp.4g	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4h	$4$	R	$1$	\(\Q\)	34992.lp.4h	$C_3^5.S_3^2:C_4$	$\SOPlus(4,2)$	$72$	72.a1	$486$	72.a1	$486$	$72$	$1$
34992.lp.4i	$4$	R	$1$	\(\Q\)	34992.lp.4i	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4j	$4$	R	$1$	\(\Q\)	34992.lp.4j	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4k	$4$	R	$1$	\(\Q\)	34992.lp.4k	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4l	$4$	R	$1$	\(\Q\)	34992.lp.4l	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4m1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4m	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4m2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4m	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4n1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4n	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4n2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4n	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4o1	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.4o	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4o2	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.4o	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4p1	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.4p	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4p2	$4$	C	$4$	\(\Q(\sqrt{-1}) \)	34992.lp.4p	$C_3^5.S_3^2:C_4$	$S_3^2:C_4$	$144$	144.a1	$243$	72.a1	$486$	$72$	$1$
34992.lp.4q1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4q	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4q2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4q	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4r1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4r	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4r2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4r	$C_3^5.S_3^2:C_4$	$S_3^2:S_3$	$216$	216.a1	$162$	216.a1	$162$	$216$	$1$
34992.lp.4s1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4s	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4s2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4s	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4t1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4t	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4t2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4t	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4u1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4u	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4u2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4u	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4v1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4v	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$
34992.lp.4v2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	34992.lp.4v	$C_3^5.S_3^2:C_4$	$(C_3\times S_3^2):C_4$	$432$	432.a1	$81$	216.a1	$162$	$216$	$1$