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

The column representing the conjugacy class 15A1 is highlighted below.

		1A	2A	3A	4A	5A1	5A-1	5A2	5A-2	5B1	5B2	10A1	10A-1	10A3	10A-3	13A1	13A-1	13A2	13A-2	15A1	15A-1	15A2	15A-2
	Size	1	195	4160	3900	208	208	208	208	2496	2496	3120	3120	3120	3120	4800	4800	4800	4800	4160	4160	4160	4160
	2 P	1A	1A	3A	2A	5A2	5A-2	5A-1	5A1	5B2	5B1	5A-2	5A2	5A-1	5A1	13A2	13A-2	13A-1	13A1	15A2	15A-2	15A-1	15A1
	3 P	1A	2A	1A	4A	5A-2	5A2	5A1	5A-1	5B2	5B1	10A3	10A-3	10A-1	10A1	13A1	13A-1	13A2	13A-2	5A1	5A-1	5A2	5A-2
	5 P	1A	2A	3A	4A	1A	1A	1A	1A	1A	1A	2A	2A	2A	2A	13A2	13A-2	13A-1	13A1	3A	3A	3A	3A
	13 P	1A	2A	3A	4A	5A-2	5A2	5A1	5A-1	5B2	5B1	10A3	10A-3	10A-1	10A1	1A	1A	1A	1A	15A-2	15A2	15A1	15A-1
	Type
62400.a.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
62400.a.12a	S	$12$	$-4$	$0$	$0$	$-3$	$-3$	$-3$	$-3$	$2$	$2$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$
62400.a.13a1	C	$13$	$-3$	$1$	$1$	${\zeta }_5^{-2}-3{\zeta }_5$	${\zeta }_5-3{\zeta }_5^2$	$3{\zeta }_5^{-2}+3+3{\zeta }_5+4{\zeta }_5^2$	$-4{\zeta }_5^{-2}-1-{\zeta }_5-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5+{\zeta }_5^2$	$-{\zeta }_5^{-2}-1-{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$
62400.a.13a2	C	$13$	$-3$	$1$	$1$	$3{\zeta }_5^{-2}+3+3{\zeta }_5+4{\zeta }_5^2$	$-4{\zeta }_5^{-2}-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5^{-2}-3{\zeta }_5$	${\zeta }_5-3{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	${\zeta }_5+{\zeta }_5^2$	$-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5$	$-{\zeta }_5^{-2}-1-{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$
62400.a.13a3	C	$13$	$-3$	$1$	$1$	${\zeta }_5-3{\zeta }_5^2$	$3{\zeta }_5^{-2}+3+3{\zeta }_5+4{\zeta }_5^2$	$-4{\zeta }_5^{-2}-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5^{-2}-3{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5$	$-{\zeta }_5^{-2}-1-{\zeta }_5$	$-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5+{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$
62400.a.13a4	C	$13$	$-3$	$1$	$1$	$-4{\zeta }_5^{-2}-1-{\zeta }_5-{\zeta }_5^2$	${\zeta }_5^{-2}-3{\zeta }_5$	${\zeta }_5-3{\zeta }_5^2$	$3{\zeta }_5^{-2}+3+3{\zeta }_5+4{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-1-{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5$	${\zeta }_5+{\zeta }_5^2$	$-1-{\zeta }_5-{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$
62400.a.39a1	R	$39$	$7$	$0$	$-1$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
62400.a.39a2	R	$39$	$7$	$0$	$-1$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
62400.a.52a1	C	$52$	$4$	$1$	$0$	$-3{\zeta }_5^{-2}-3-3{\zeta }_5+{\zeta }_5^2$	$-{\zeta }_5^{-2}-4-4{\zeta }_5-4{\zeta }_5^2$	$4{\zeta }_5^{-2}+3{\zeta }_5$	$4{\zeta }_5+3{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5$	${\zeta }_5^{-1}$
62400.a.52a2	C	$52$	$4$	$1$	$0$	$4{\zeta }_5^{-2}+3{\zeta }_5$	$4{\zeta }_5+3{\zeta }_5^2$	$-3{\zeta }_5^{-2}-3-3{\zeta }_5+{\zeta }_5^2$	$-{\zeta }_5^{-2}-4-4{\zeta }_5-4{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5^{-1}$	${\zeta }_5$
62400.a.52a3	C	$52$	$4$	$1$	$0$	$-{\zeta }_5^{-2}-4-4{\zeta }_5-4{\zeta }_5^2$	$4{\zeta }_5^{-2}+3{\zeta }_5$	$4{\zeta }_5+3{\zeta }_5^2$	$-3{\zeta }_5^{-2}-3-3{\zeta }_5+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^2$	${\zeta }_5^{-2}$
62400.a.52a4	C	$52$	$4$	$1$	$0$	$4{\zeta }_5+3{\zeta }_5^2$	$-3{\zeta }_5^{-2}-3-3{\zeta }_5+{\zeta }_5^2$	$-{\zeta }_5^{-2}-4-4{\zeta }_5-4{\zeta }_5^2$	$4{\zeta }_5^{-2}+3{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^{-2}$	${\zeta }_5^2$
62400.a.64a	R	$64$	$0$	$1$	$0$	$4$	$4$	$4$	$4$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
62400.a.65a	R	$65$	$1$	$-1$	$1$	$5$	$5$	$5$	$5$	$0$	$0$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
62400.a.65b1	C	$65$	$1$	$-1$	$1$	$5{\zeta }_5^{-2}$	$5{\zeta }_5$	$5{\zeta }_5^2$	$5{\zeta }_5^{-1}$	$0$	$0$	${\zeta }_5^{-1}$	${\zeta }_5$	${\zeta }_5^2$	${\zeta }_5^{-2}$	$0$	$0$	$0$	$0$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$
62400.a.65b2	C	$65$	$1$	$-1$	$1$	$5{\zeta }_5^2$	$5{\zeta }_5^{-1}$	$5{\zeta }_5^{-2}$	$5{\zeta }_5$	$0$	$0$	${\zeta }_5$	${\zeta }_5^{-1}$	${\zeta }_5^{-2}$	${\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$
62400.a.65b3	C	$65$	$1$	$-1$	$1$	$5{\zeta }_5^{-1}$	$5{\zeta }_5^{-2}$	$5{\zeta }_5$	$5{\zeta }_5^2$	$0$	$0$	${\zeta }_5^2$	${\zeta }_5^{-2}$	${\zeta }_5$	${\zeta }_5^{-1}$	$0$	$0$	$0$	$0$	$-{\zeta }_5$	$-{\zeta }_5^{-1}$	$-{\zeta }_5^2$	$-{\zeta }_5^{-2}$
62400.a.65b4	C	$65$	$1$	$-1$	$1$	$5{\zeta }_5$	$5{\zeta }_5^2$	$5{\zeta }_5^{-1}$	$5{\zeta }_5^{-2}$	$0$	$0$	${\zeta }_5^{-2}$	${\zeta }_5^2$	${\zeta }_5^{-1}$	${\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}$	$-{\zeta }_5$	$-{\zeta }_5^{-2}$	$-{\zeta }_5^2$
62400.a.75a1	C	$75$	$-5$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{13}^{-4}-{\zeta }_{13}-{\zeta }_{13}^3$	$-{\zeta }_{13}^{-3}-{\zeta }_{13}^{-1}-{\zeta }_{13}^4$	$-{\zeta }_{13}^2-{\zeta }_{13}^5-{\zeta }_{13}^6$	$-{\zeta }_{13}^{-6}-{\zeta }_{13}^{-5}-{\zeta }_{13}^{-2}$	$0$	$0$	$0$	$0$
62400.a.75a2	C	$75$	$-5$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{13}^{-3}-{\zeta }_{13}^{-1}-{\zeta }_{13}^4$	$-{\zeta }_{13}^{-4}-{\zeta }_{13}-{\zeta }_{13}^3$	$-{\zeta }_{13}^{-6}-{\zeta }_{13}^{-5}-{\zeta }_{13}^{-2}$	$-{\zeta }_{13}^2-{\zeta }_{13}^5-{\zeta }_{13}^6$	$0$	$0$	$0$	$0$
62400.a.75a3	C	$75$	$-5$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{13}^2-{\zeta }_{13}^5-{\zeta }_{13}^6$	$-{\zeta }_{13}^{-6}-{\zeta }_{13}^{-5}-{\zeta }_{13}^{-2}$	$-{\zeta }_{13}^{-3}-{\zeta }_{13}^{-1}-{\zeta }_{13}^4$	$-{\zeta }_{13}^{-4}-{\zeta }_{13}-{\zeta }_{13}^3$	$0$	$0$	$0$	$0$
62400.a.75a4	C	$75$	$-5$	$0$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{13}^{-6}-{\zeta }_{13}^{-5}-{\zeta }_{13}^{-2}$	$-{\zeta }_{13}^2-{\zeta }_{13}^5-{\zeta }_{13}^6$	$-{\zeta }_{13}^{-4}-{\zeta }_{13}-{\zeta }_{13}^3$	$-{\zeta }_{13}^{-3}-{\zeta }_{13}^{-1}-{\zeta }_{13}^4$	$0$	$0$	$0$	$0$