LMFDB - Complex character search results

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Results (1-50 of 450 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
1584.41.1a	$1$	R	$1$	$\Q$	1584.41.1a	$D_{22}:C_{36}$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.41.1b	$1$	R	$1$	$\Q$	1584.41.1b	$D_{22}:C_{36}$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1c	$1$	R	$1$	$\Q$	1584.41.1c	$D_{22}:C_{36}$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1d	$1$	R	$1$	$\Q$	1584.41.1d	$D_{22}:C_{36}$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1e1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1e	$D_{22}:C_{36}$	$C_3$	$3$	3.a1.a1	$528$	1.a1.a1	$1584$	$1$	$1$
1584.41.1e2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1e	$D_{22}:C_{36}$	$C_3$	$3$	3.a1.a1	$528$	1.a1.a1	$1584$	$1$	$1$
1584.41.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.41.1f	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.b1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.41.1f	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.b1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1g1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.41.1g	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1g2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.41.1g	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1h1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1h	$D_{22}:C_{36}$	$C_6$	$6$	6.c1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1h2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1h	$D_{22}:C_{36}$	$C_6$	$6$	6.c1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1i1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1i	$D_{22}:C_{36}$	$C_6$	$6$	6.b1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1i2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1i	$D_{22}:C_{36}$	$C_6$	$6$	6.b1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1j1	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1j	$D_{22}:C_{36}$	$C_6$	$6$	6.a1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1j2	$1$	C	$3$	$\Q(\sqrt{-3}) $	1584.41.1j	$D_{22}:C_{36}$	$C_6$	$6$	6.a1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l1	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l2	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l3	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l4	$1$	C	$12$	$\Q(\sqrt{-1}) $	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m1	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m2	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m3	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m4	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m5	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m6	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n1	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n2	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n3	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n4	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n5	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n6	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o1	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o2	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o3	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o4	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o5	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o6	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p1	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p2	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p3	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p4	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p5	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p6	$1$	C	$9$	$\Q(\zeta_{9})$	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1q1	$1$	C	$36$	$\Q(\sqrt{-1}) $	1584.41.1q	$D_{22}:C_{36}$	$C_{36}$	$36$	36.b1.b1	$44$	1.a1.a1	$1584$	$1$	$1$
1584.41.1q10	$1$	C	$36$	$\Q(\sqrt{-1}) $	1584.41.1q	$D_{22}:C_{36}$	$C_{36}$	$36$	36.b1.b1	$44$	1.a1.a1	$1584$	$1$	$1$

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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
1584.41.1a	$1$	R	$1$	\(\Q\)	1584.41.1a	$D_{22}:C_{36}$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.41.1b	$1$	R	$1$	\(\Q\)	1584.41.1b	$D_{22}:C_{36}$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1c	$1$	R	$1$	\(\Q\)	1584.41.1c	$D_{22}:C_{36}$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1d	$1$	R	$1$	\(\Q\)	1584.41.1d	$D_{22}:C_{36}$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.41.1e1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1e	$D_{22}:C_{36}$	$C_3$	$3$	3.a1.a1	$528$	1.a1.a1	$1584$	$1$	$1$
1584.41.1e2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1e	$D_{22}:C_{36}$	$C_3$	$3$	3.a1.a1	$528$	1.a1.a1	$1584$	$1$	$1$
1584.41.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.41.1f	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.b1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.41.1f	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.b1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1g1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.41.1g	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1g2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.41.1g	$D_{22}:C_{36}$	$C_4$	$4$	4.b1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.41.1h1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1h	$D_{22}:C_{36}$	$C_6$	$6$	6.c1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1h2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1h	$D_{22}:C_{36}$	$C_6$	$6$	6.c1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1i1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1i	$D_{22}:C_{36}$	$C_6$	$6$	6.b1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1i2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1i	$D_{22}:C_{36}$	$C_6$	$6$	6.b1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1j1	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1j	$D_{22}:C_{36}$	$C_6$	$6$	6.a1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1j2	$1$	C	$3$	\(\Q(\sqrt{-3}) \)	1584.41.1j	$D_{22}:C_{36}$	$C_6$	$6$	6.a1.a1	$264$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1k4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1k	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.b1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l1	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l2	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l3	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1l4	$1$	C	$12$	\(\Q(\sqrt{-1}) \)	1584.41.1l	$D_{22}:C_{36}$	$C_{12}$	$12$	12.b1.a1	$132$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m1	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m2	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m3	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m4	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m5	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1m6	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1m	$D_{22}:C_{36}$	$C_9$	$9$	9.a1.a1	$176$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n1	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n2	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n3	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n4	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n5	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1n6	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1n	$D_{22}:C_{36}$	$C_{18}$	$18$	18.c1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o1	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o2	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o3	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o4	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o5	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1o6	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1o	$D_{22}:C_{36}$	$C_{18}$	$18$	18.b1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p1	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p2	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p3	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p4	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p5	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1p6	$1$	C	$9$	\(\Q(\zeta_{9})\)	1584.41.1p	$D_{22}:C_{36}$	$C_{18}$	$18$	18.a1.a1	$88$	1.a1.a1	$1584$	$1$	$1$
1584.41.1q1	$1$	C	$36$	\(\Q(\sqrt{-1}) \)	1584.41.1q	$D_{22}:C_{36}$	$C_{36}$	$36$	36.b1.b1	$44$	1.a1.a1	$1584$	$1$	$1$
1584.41.1q10	$1$	C	$36$	\(\Q(\sqrt{-1}) \)	1584.41.1q	$D_{22}:C_{36}$	$C_{36}$	$36$	36.b1.b1	$44$	1.a1.a1	$1584$	$1$	$1$