Character table for $\Sp(4,3)$

The column representing the conjugacy class 3B is highlighted below.

		1A	2A	2B	3A1	3A-1	3B	3C	4A	4B	4C	5A	6A1	6A-1	6B	6C1	6C-1	6D1	6D-1	6E	6F1	6F-1	6G1	6G-1	8A	9A1	9A-1	10A	12A1	12A-1	12B1	12B-1	12C	18A1	18A-1
	Size	1	1	90	40	40	240	480	540	540	540	5184	40	40	240	360	360	360	360	480	1440	1440	1440	1440	6480	2880	2880	5184	2160	2160	2160	2160	4320	2880	2880
	2 P	1A	1A	1A	3A-1	3A1	3B	3C	2B	2B	2A	5A	3A-1	3A1	3B	3A1	3A-1	3A-1	3A1	3C	3B	3B	3C	3C	4C	9A-1	9A1	5A	6C1	6C-1	6C1	6C-1	6B	9A1	9A-1
	3 P	1A	2A	2B	1A	1A	1A	1A	4A	4B	4C	5A	2A	2A	2A	2B	2B	2B	2B	2A	2B	2B	2B	2B	8A	3A-1	3A1	10A	4A	4A	4B	4B	4C	6A1	6A-1
	5 P	1A	2A	2B	3A-1	3A1	3B	3C	4A	4B	4C	1A	6A-1	6A1	6B	6C-1	6C1	6D-1	6D1	6E	6F-1	6F1	6G-1	6G1	8A	9A-1	9A1	2A	12A-1	12A1	12B-1	12B1	12C	18A-1	18A1
	Type
51840.a.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
51840.a.4a1	C	$4$	$-4$	$0$	$-2-3{\zeta }_3$	$1+3{\zeta }_3$	$-2$	$1$	$2$	$-2$	$0$	$-1$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$2$	$1-{\zeta }_3$	$2+{\zeta }_3$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$-1$	$0$	$0$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
51840.a.4a2	C	$4$	$-4$	$0$	$1+3{\zeta }_3$	$-2-3{\zeta }_3$	$-2$	$1$	$2$	$-2$	$0$	$-1$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$2$	$2+{\zeta }_3$	$1-{\zeta }_3$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-1$	$0$	$0$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
51840.a.5a1	C	$5$	$5$	$-3$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-1$	$2$	$1$	$1$	$1$	$0$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$-1$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$2$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$0$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$
51840.a.5a2	C	$5$	$5$	$-3$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1$	$2$	$1$	$1$	$1$	$0$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$2$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$0$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$
51840.a.6a	R	$6$	$6$	$-2$	$-3$	$-3$	$3$	$0$	$2$	$2$	$2$	$1$	$-3$	$-3$	$3$	$1$	$1$	$1$	$1$	$0$	$1$	$1$	$-2$	$-2$	$0$	$0$	$0$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$
51840.a.10a1	C	$10$	$10$	$2$	$-5-3{\zeta }_3$	$-2+3{\zeta }_3$	$1$	$1$	$2$	$2$	$-2$	$0$	$-5-3{\zeta }_3$	$-2+3{\zeta }_3$	$1$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$
51840.a.10a2	C	$10$	$10$	$2$	$-2+3{\zeta }_3$	$-5-3{\zeta }_3$	$1$	$1$	$2$	$2$	$-2$	$0$	$-2+3{\zeta }_3$	$-5-3{\zeta }_3$	$1$	$-1-3{\zeta }_3$	$2+3{\zeta }_3$	$2+3{\zeta }_3$	$-1-3{\zeta }_3$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$
51840.a.15a	R	$15$	$15$	$7$	$-3$	$-3$	$0$	$3$	$-1$	$-1$	$3$	$0$	$-3$	$-3$	$0$	$1$	$1$	$1$	$1$	$3$	$-2$	$-2$	$1$	$1$	$1$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$
51840.a.15b	R	$15$	$15$	$-1$	$6$	$6$	$3$	$0$	$3$	$3$	$-1$	$0$	$6$	$6$	$3$	$2$	$2$	$2$	$2$	$0$	$-1$	$-1$	$2$	$2$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$
51840.a.20a	R	$20$	$20$	$4$	$2$	$2$	$5$	$-1$	$0$	$0$	$4$	$0$	$2$	$2$	$5$	$-2$	$-2$	$-2$	$-2$	$-1$	$1$	$1$	$1$	$1$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$1$	$-1$	$-1$
51840.a.20b	S	$20$	$-20$	$0$	$-7$	$-7$	$2$	$2$	$2$	$-2$	$0$	$0$	$7$	$7$	$-2$	$-3$	$-3$	$3$	$3$	$-2$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$-1$	$-1$	$1$	$1$	$0$	$1$	$1$
51840.a.20c1	C	$20$	$-20$	$0$	$5-3{\zeta }_3$	$8+3{\zeta }_3$	$2$	$2$	$2$	$-2$	$0$	$0$	$-5+3{\zeta }_3$	$-8-3{\zeta }_3$	$-2$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$-2$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
51840.a.20c2	C	$20$	$-20$	$0$	$8+3{\zeta }_3$	$5-3{\zeta }_3$	$2$	$2$	$2$	$-2$	$0$	$0$	$-8-3{\zeta }_3$	$-5+3{\zeta }_3$	$-2$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$-2$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
51840.a.20d1	C	$20$	$-20$	$0$	$-1-6{\zeta }_3$	$5+6{\zeta }_3$	$-4$	$-1$	$2$	$-2$	$0$	$0$	$1+6{\zeta }_3$	$-5-6{\zeta }_3$	$4$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$1$	$0$	$0$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$-1$	$-1$	$1$	$1$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
51840.a.20d2	C	$20$	$-20$	$0$	$5+6{\zeta }_3$	$-1-6{\zeta }_3$	$-4$	$-1$	$2$	$-2$	$0$	$0$	$-5-6{\zeta }_3$	$1+6{\zeta }_3$	$4$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$1$	$0$	$0$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$-1$	$-1$	$1$	$1$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
51840.a.24a	R	$24$	$24$	$8$	$6$	$6$	$0$	$3$	$0$	$0$	$0$	$-1$	$6$	$6$	$0$	$2$	$2$	$2$	$2$	$3$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
51840.a.30a	R	$30$	$30$	$-10$	$3$	$3$	$3$	$3$	$-2$	$-2$	$2$	$0$	$3$	$3$	$3$	$-1$	$-1$	$-1$	$-1$	$3$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$1$	$-1$	$0$	$0$
51840.a.30b1	C	$30$	$30$	$6$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$-3$	$0$	$2$	$2$	$2$	$0$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$-3$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$0$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-1$	$0$	$0$
51840.a.30b2	C	$30$	$30$	$6$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$-3$	$0$	$2$	$2$	$2$	$0$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$-3$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$0$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-1$	$0$	$0$
51840.a.36a1	C	$36$	$-36$	$0$	$9{\zeta }_3^{-1}$	$9{\zeta }_3$	$0$	$0$	$2$	$-2$	$0$	$1$	$-9{\zeta }_3^{-1}$	$-9{\zeta }_3$	$0$	$-3{\zeta }_3$	$-3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$
51840.a.36a2	C	$36$	$-36$	$0$	$9{\zeta }_3$	$9{\zeta }_3^{-1}$	$0$	$0$	$2$	$-2$	$0$	$1$	$-9{\zeta }_3$	$-9{\zeta }_3^{-1}$	$0$	$-3{\zeta }_3^{-1}$	$-3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$
51840.a.40a1	C	$40$	$40$	$-8$	$-8-6{\zeta }_3$	$-2+6{\zeta }_3$	$-2$	$1$	$0$	$0$	$0$	$0$	$-8-6{\zeta }_3$	$-2+6{\zeta }_3$	$-2$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$1$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$1$	$1$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$
51840.a.40a2	C	$40$	$40$	$-8$	$-2+6{\zeta }_3$	$-8-6{\zeta }_3$	$-2$	$1$	$0$	$0$	$0$	$0$	$-2+6{\zeta }_3$	$-8-6{\zeta }_3$	$-2$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3^{-1}$	$-2{\zeta }_3$	$1$	$-2{\zeta }_3$	$-2{\zeta }_3^{-1}$	$1$	$1$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$
51840.a.45a1	C	$45$	$45$	$-3$	$-9{\zeta }_3$	$-9{\zeta }_3^{-1}$	$0$	$0$	$1$	$1$	$-3$	$0$	$-9{\zeta }_3$	$-9{\zeta }_3^{-1}$	$0$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$0$	$0$	$0$
51840.a.45a2	C	$45$	$45$	$-3$	$-9{\zeta }_3^{-1}$	$-9{\zeta }_3$	$0$	$0$	$1$	$1$	$-3$	$0$	$-9{\zeta }_3^{-1}$	$-9{\zeta }_3$	$0$	$3{\zeta }_3$	$3{\zeta }_3^{-1}$	$3{\zeta }_3^{-1}$	$3{\zeta }_3$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$0$	$0$	$0$
51840.a.60a	R	$60$	$60$	$-4$	$6$	$6$	$-3$	$-3$	$0$	$0$	$4$	$0$	$6$	$6$	$-3$	$2$	$2$	$2$	$2$	$-3$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$
51840.a.60b	S	$60$	$-60$	$0$	$-3$	$-3$	$-6$	$0$	$-2$	$2$	$0$	$0$	$3$	$3$	$6$	$-3$	$-3$	$3$	$3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$-1$	$0$	$0$	$0$
51840.a.60c1	C	$60$	$-60$	$0$	$-3-9{\zeta }_3$	$6+9{\zeta }_3$	$0$	$3$	$-2$	$2$	$0$	$0$	$3+9{\zeta }_3$	$-6-9{\zeta }_3$	$0$	$2+{\zeta }_3$	$1-{\zeta }_3$	$-1+{\zeta }_3$	$-2-{\zeta }_3$	$-3$	$0$	$0$	$-1-2{\zeta }_3$	$1+2{\zeta }_3$	$0$	$0$	$0$	$0$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$0$
51840.a.60c2	C	$60$	$-60$	$0$	$6+9{\zeta }_3$	$-3-9{\zeta }_3$	$0$	$3$	$-2$	$2$	$0$	$0$	$-6-9{\zeta }_3$	$3+9{\zeta }_3$	$0$	$1-{\zeta }_3$	$2+{\zeta }_3$	$-2-{\zeta }_3$	$-1+{\zeta }_3$	$-3$	$0$	$0$	$1+2{\zeta }_3$	$-1-2{\zeta }_3$	$0$	$0$	$0$	$0$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$0$
51840.a.64a	R	$64$	$64$	$0$	$-8$	$-8$	$4$	$-2$	$0$	$0$	$0$	$-1$	$-8$	$-8$	$4$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$-1$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
51840.a.64b	S	$64$	$-64$	$0$	$-8$	$-8$	$4$	$-2$	$0$	$0$	$0$	$-1$	$8$	$8$	$-4$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$
51840.a.80a	S	$80$	$-80$	$0$	$8$	$8$	$2$	$-4$	$0$	$0$	$0$	$0$	$-8$	$-8$	$-2$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
51840.a.81a	R	$81$	$81$	$9$	$0$	$0$	$0$	$0$	$-3$	$-3$	$-3$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$0$	$0$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$