LMFDB - Complex character search results

Refine search

Degree	Type	Faithful	Conductor

Group	Image	Image Order (Kernel Index)	Kernel Order

Center Order	Center Index

		Sort order	Select

Results (1-50 of 234 matches)

Next Download displayed columns for results to

Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
1728.24191.1a	$1$	R	$1$	$\Q$	1728.24191.1a	$C_6^3.D_4$	$C_1$	$1$	1.a1.a1	$1728$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1b	$1$	R	$1$	$\Q$	1728.24191.1b	$C_6^3.D_4$	$C_2$	$2$	2.d1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1c	$1$	R	$1$	$\Q$	1728.24191.1c	$C_6^3.D_4$	$C_2$	$2$	2.d1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1d	$1$	R	$1$	$\Q$	1728.24191.1d	$C_6^3.D_4$	$C_2$	$2$	2.d1.d1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1e	$1$	R	$1$	$\Q$	1728.24191.1e	$C_6^3.D_4$	$C_2$	$2$	2.d1.c1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1f	$1$	R	$1$	$\Q$	1728.24191.1f	$C_6^3.D_4$	$C_2$	$2$	2.c1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1g	$1$	R	$1$	$\Q$	1728.24191.1g	$C_6^3.D_4$	$C_2$	$2$	2.b1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1h	$1$	R	$1$	$\Q$	1728.24191.1h	$C_6^3.D_4$	$C_2$	$2$	2.a1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1i1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1i	$C_6^3.D_4$	$C_3$	$3$	3.a1.a1	$576$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1i2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1i	$C_6^3.D_4$	$C_3$	$3$	3.a1.a1	$576$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1j1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1j	$C_6^3.D_4$	$C_4$	$4$	4.e1.c1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1j2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1j	$C_6^3.D_4$	$C_4$	$4$	4.e1.c1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1k1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1k	$C_6^3.D_4$	$C_4$	$4$	4.e1.d1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1k2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1k	$C_6^3.D_4$	$C_4$	$4$	4.e1.d1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1l1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1l	$C_6^3.D_4$	$C_4$	$4$	4.e1.b1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1l2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1l	$C_6^3.D_4$	$C_4$	$4$	4.e1.b1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1m1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1m	$C_6^3.D_4$	$C_4$	$4$	4.e1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1m2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1728.24191.1m	$C_6^3.D_4$	$C_4$	$4$	4.e1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1n1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1n	$C_6^3.D_4$	$C_6$	$6$	6.f1.b1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1n2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1n	$C_6^3.D_4$	$C_6$	$6$	6.f1.b1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1o1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1o	$C_6^3.D_4$	$C_6$	$6$	6.f1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1o2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1o	$C_6^3.D_4$	$C_6$	$6$	6.f1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1p1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1p	$C_6^3.D_4$	$C_6$	$6$	6.f1.d1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1p2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1p	$C_6^3.D_4$	$C_6$	$6$	6.f1.d1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1q1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1q	$C_6^3.D_4$	$C_6$	$6$	6.f1.c1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1q2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1q	$C_6^3.D_4$	$C_6$	$6$	6.f1.c1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1r1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1r	$C_6^3.D_4$	$C_6$	$6$	6.e1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1r2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1r	$C_6^3.D_4$	$C_6$	$6$	6.e1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1s1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1s	$C_6^3.D_4$	$C_6$	$6$	6.d1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1s2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1s	$C_6^3.D_4$	$C_6$	$6$	6.d1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1t1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1t	$C_6^3.D_4$	$C_6$	$6$	6.c1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1t2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.1t	$C_6^3.D_4$	$C_6$	$6$	6.c1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.2a	$2$	R	$1$	$\Q$	1728.24191.2a	$C_6^3.D_4$	$S_3$	$6$	6.a1.a1	$288$	6.a1.a1	$288$	$6$	$1$
1728.24191.2aa1	$2$	C	$3$	$\Q(\sqrt{-3}) $	1728.24191.2aa	$C_6^3.D_4$	$C_3:D_4$	$24$	24.g1.a1	$72$	12.b1.a1	$144$	$12$	$1$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 234 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
1728.24191.1a	$1$	R	$1$	\(\Q\)	1728.24191.1a	$C_6^3.D_4$	$C_1$	$1$	1.a1.a1	$1728$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1b	$1$	R	$1$	\(\Q\)	1728.24191.1b	$C_6^3.D_4$	$C_2$	$2$	2.d1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1c	$1$	R	$1$	\(\Q\)	1728.24191.1c	$C_6^3.D_4$	$C_2$	$2$	2.d1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1d	$1$	R	$1$	\(\Q\)	1728.24191.1d	$C_6^3.D_4$	$C_2$	$2$	2.d1.d1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1e	$1$	R	$1$	\(\Q\)	1728.24191.1e	$C_6^3.D_4$	$C_2$	$2$	2.d1.c1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1f	$1$	R	$1$	\(\Q\)	1728.24191.1f	$C_6^3.D_4$	$C_2$	$2$	2.c1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1g	$1$	R	$1$	\(\Q\)	1728.24191.1g	$C_6^3.D_4$	$C_2$	$2$	2.b1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1h	$1$	R	$1$	\(\Q\)	1728.24191.1h	$C_6^3.D_4$	$C_2$	$2$	2.a1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1i1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1i	$C_6^3.D_4$	$C_3$	$3$	3.a1.a1	$576$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1i2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1i	$C_6^3.D_4$	$C_3$	$3$	3.a1.a1	$576$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1j1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1j	$C_6^3.D_4$	$C_4$	$4$	4.e1.c1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1j2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1j	$C_6^3.D_4$	$C_4$	$4$	4.e1.c1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1k1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1k	$C_6^3.D_4$	$C_4$	$4$	4.e1.d1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1k2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1k	$C_6^3.D_4$	$C_4$	$4$	4.e1.d1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1l1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1l	$C_6^3.D_4$	$C_4$	$4$	4.e1.b1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1l2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1l	$C_6^3.D_4$	$C_4$	$4$	4.e1.b1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1m1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1m	$C_6^3.D_4$	$C_4$	$4$	4.e1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1m2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.24191.1m	$C_6^3.D_4$	$C_4$	$4$	4.e1.a1	$432$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1n1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1n	$C_6^3.D_4$	$C_6$	$6$	6.f1.b1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1n2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1n	$C_6^3.D_4$	$C_6$	$6$	6.f1.b1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1o1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1o	$C_6^3.D_4$	$C_6$	$6$	6.f1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1o2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1o	$C_6^3.D_4$	$C_6$	$6$	6.f1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1p1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1p	$C_6^3.D_4$	$C_6$	$6$	6.f1.d1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1p2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1p	$C_6^3.D_4$	$C_6$	$6$	6.f1.d1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1q1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1q	$C_6^3.D_4$	$C_6$	$6$	6.f1.c1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1q2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1q	$C_6^3.D_4$	$C_6$	$6$	6.f1.c1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1r1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1r	$C_6^3.D_4$	$C_6$	$6$	6.e1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1r2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1r	$C_6^3.D_4$	$C_6$	$6$	6.e1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1s1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1s	$C_6^3.D_4$	$C_6$	$6$	6.d1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1s2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1s	$C_6^3.D_4$	$C_6$	$6$	6.d1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1t1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1t	$C_6^3.D_4$	$C_6$	$6$	6.c1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1t2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.1t	$C_6^3.D_4$	$C_6$	$6$	6.c1.a1	$288$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1u4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1u	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.c1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1v4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1v	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.d1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1w4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1w	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.b1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.1x4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.24191.1x	$C_6^3.D_4$	$C_{12}$	$12$	12.j1.a1	$144$	1.a1.a1	$1728$	$1$	$1$
1728.24191.2a	$2$	R	$1$	\(\Q\)	1728.24191.2a	$C_6^3.D_4$	$S_3$	$6$	6.a1.a1	$288$	6.a1.a1	$288$	$6$	$1$
1728.24191.2aa1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1728.24191.2aa	$C_6^3.D_4$	$C_3:D_4$	$24$	24.g1.a1	$72$	12.b1.a1	$144$	$12$	$1$