Character table for $C(2,3)$

		1A	2A	2B	3A1	3A-1	3B	3C	4A	4B	5A	6A1	6A-1	6B1	6B-1	6C	6D	9A1	9A-1	12A1	12A-1
	Size	1	45	270	40	40	240	480	540	3240	5184	360	360	720	720	1440	2160	2880	2880	2160	2160
	2 P	1A	1A	1A	3A-1	3A1	3B	3C	2A	2B	5A	3A1	3A-1	3B	3B	3C	3B	9A-1	9A1	6A1	6A-1
	3 P	1A	2A	2B	1A	1A	1A	1A	4A	4B	5A	2A	2A	2A	2A	2A	2B	3A1	3A-1	4A	4A
	5 P	1A	2A	2B	3A-1	3A1	3B	3C	4A	4B	1A	6A-1	6A1	6B-1	6B1	6C	6D	9A-1	9A1	12A-1	12A1
	Type
25920.a.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
25920.a.5a1	C	$5$	$-3$	$1$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-1$	$2$	$1$	$-1$	$0$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$
25920.a.5a2	C	$5$	$-3$	$1$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1$	$2$	$1$	$-1$	$0$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$
25920.a.6a	R	$6$	$-2$	$2$	$-3$	$-3$	$3$	$0$	$2$	$0$	$1$	$1$	$1$	$1$	$1$	$-2$	$-1$	$0$	$0$	$-1$	$-1$
25920.a.10a1	C	$10$	$2$	$-2$	$-5-3{\zeta }_3$	$-2+3{\zeta }_3$	$1$	$1$	$2$	$0$	$0$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1$	$-1$	$-1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
25920.a.10a2	C	$10$	$2$	$-2$	$-2+3{\zeta }_3$	$-5-3{\zeta }_3$	$1$	$1$	$2$	$0$	$0$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-1$	$-1$	$-1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
25920.a.15a	R	$15$	$7$	$3$	$-3$	$-3$	$0$	$3$	$-1$	$1$	$0$	$1$	$1$	$-2$	$-2$	$1$	$0$	$0$	$0$	$-1$	$-1$
25920.a.15b	R	$15$	$-1$	$-1$	$6$	$6$	$3$	$0$	$3$	$-1$	$0$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$0$	$0$	$0$	$0$
25920.a.20a	R	$20$	$4$	$4$	$2$	$2$	$5$	$-1$	$0$	$0$	$0$	$-2$	$-2$	$1$	$1$	$1$	$1$	$-1$	$-1$	$0$	$0$
25920.a.24a	R	$24$	$8$	$0$	$6$	$6$	$0$	$3$	$0$	$0$	$-1$	$2$	$2$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$
25920.a.30a	R	$30$	$-10$	$2$	$3$	$3$	$3$	$3$	$-2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$1$	$1$
25920.a.30b1	C	$30$	$6$	$2$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$-3$	$0$	$2$	$0$	$0$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$-1$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
25920.a.30b2	C	$30$	$6$	$2$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$-3$	$0$	$2$	$0$	$0$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$-1$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
25920.a.40a1	C	$40$	$-8$	$0$	$-8-6{\zeta }_3$	$-2+6{\zeta }_3$	$-2$	$1$	$0$	$0$	$0$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$1$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$
25920.a.40a2	C	$40$	$-8$	$0$	$-2+6{\zeta }_3$	$-8-6{\zeta }_3$	$-2$	$1$	$0$	$0$	$0$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$1$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$
25920.a.45a1	C	$45$	$-3$	$-3$	$-9{\zeta }_3$	$-9{\zeta }_3^{-1}$	$0$	$0$	$1$	$1$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
25920.a.45a2	C	$45$	$-3$	$-3$	$-9{\zeta }_3^{-1}$	$-9{\zeta }_3$	$0$	$0$	$1$	$1$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
25920.a.60a	R	$60$	$-4$	$4$	$6$	$6$	$-3$	$-3$	$0$	$0$	$0$	$2$	$2$	$-1$	$-1$	$-1$	$1$	$0$	$0$	$0$	$0$
25920.a.64a	R	$64$	$0$	$0$	$-8$	$-8$	$4$	$-2$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$0$	$0$
25920.a.81a	R	$81$	$9$	$-3$	$0$	$0$	$0$	$0$	$-3$	$-1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$