Character table for $A_5^2$

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

		1A	2A	2B	2C	3A	3B	3C	5A1	5A2	5B1	5B2	5C1	5C2	5D1	5D2	6A	6B	10A1	10A3	10B1	10B3	15A1	15A2	15B1	15B2
	Size	1	15	15	225	20	20	400	12	12	12	12	144	144	144	144	300	300	180	180	180	180	240	240	240	240
	2 P	1A	1A	1A	1A	3A	3B	3C	5A2	5A1	5B2	5B1	5C2	5C1	5D2	5D1	3A	3B	5B2	5B1	5A2	5A1	15A2	15A1	15B2	15B1
	3 P	1A	2A	2B	2C	1A	1A	1A	5A2	5A1	5B2	5B1	5C2	5C1	5D2	5D1	2A	2B	10A3	10A1	10B3	10B1	5A1	5A2	5B1	5B2
	5 P	1A	2A	2B	2C	3A	3B	3C	1A	1A	1A	1A	1A	1A	1A	1A	6A	6B	2A	2A	2B	2B	3A	3A	3B	3B
	Type
3600.a.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
3600.a.3a1	R	$3$	$-1$	$3$	$-1$	$3$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$3$	$3$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-1$	$0$	$-1$	$-1$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$
3600.a.3a2	R	$3$	$-1$	$3$	$-1$	$3$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$3$	$3$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-1$	$0$	$-1$	$-1$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$
3600.a.3b1	R	$3$	$3$	$-1$	$-1$	$0$	$3$	$0$	$3$	$3$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$-1$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-1$	$-1$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
3600.a.3b2	R	$3$	$3$	$-1$	$-1$	$0$	$3$	$0$	$3$	$3$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$-1$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-1$	$-1$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$
3600.a.4a	R	$4$	$0$	$4$	$0$	$4$	$1$	$1$	$-1$	$-1$	$4$	$4$	$-1$	$-1$	$-1$	$-1$	$0$	$1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
3600.a.4b	R	$4$	$4$	$0$	$0$	$1$	$4$	$1$	$4$	$4$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$0$	$-1$	$-1$	$0$	$0$	$1$	$1$	$-1$	$-1$
3600.a.5a	R	$5$	$1$	$5$	$1$	$5$	$-1$	$-1$	$0$	$0$	$5$	$5$	$0$	$0$	$0$	$0$	$1$	$-1$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$
3600.a.5b	R	$5$	$5$	$1$	$1$	$-1$	$5$	$-1$	$5$	$5$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$1$	$0$	$0$	$1$	$1$	$-1$	$-1$	$0$	$0$
3600.a.9a1	R	$9$	$-3$	$-3$	$1$	$0$	$0$	$0$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-1$	$-1$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	$0$	$0$
3600.a.9a2	R	$9$	$-3$	$-3$	$1$	$0$	$0$	$0$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-1$	$-1$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	$0$	$0$
3600.a.9b1	R	$9$	$-3$	$-3$	$1$	$0$	$0$	$0$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	$-1$	$-1$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	$0$	$0$
3600.a.9b2	R	$9$	$-3$	$-3$	$1$	$0$	$0$	$0$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-1}-3{\zeta }_5$	$-3{\zeta }_5^{-2}-3{\zeta }_5^2$	${\zeta }_5^{-2}+2+{\zeta }_5^2$	$-{\zeta }_5^{-2}+1-{\zeta }_5^2$	$-1$	$-1$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	$0$	$0$
3600.a.12a1	R	$12$	$-4$	$0$	$0$	$3$	$0$	$0$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	$-3$	$-3$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-1$	$0$	$1$	$1$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$
3600.a.12a2	R	$12$	$-4$	$0$	$0$	$3$	$0$	$0$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	$-3$	$-3$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-1$	$0$	$1$	$1$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$
3600.a.12b1	R	$12$	$0$	$-4$	$0$	$0$	$3$	$0$	$-3$	$-3$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$-1$	$0$	$0$	$1$	$1$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
3600.a.12b2	R	$12$	$0$	$-4$	$0$	$0$	$3$	$0$	$-3$	$-3$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$-1$	$0$	$0$	$1$	$1$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$
3600.a.15a1	R	$15$	$-5$	$3$	$-1$	$-3$	$0$	$0$	$-5{\zeta }_5^{-1}-5{\zeta }_5$	$-5{\zeta }_5^{-2}-5{\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$
3600.a.15a2	R	$15$	$-5$	$3$	$-1$	$-3$	$0$	$0$	$-5{\zeta }_5^{-2}-5{\zeta }_5^2$	$-5{\zeta }_5^{-1}-5{\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$
3600.a.15b1	R	$15$	$3$	$-5$	$-1$	$0$	$-3$	$0$	$0$	$0$	$-5{\zeta }_5^{-1}-5{\zeta }_5$	$-5{\zeta }_5^{-2}-5{\zeta }_5^2$	$0$	$0$	$0$	$0$	$0$	$1$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$
3600.a.15b2	R	$15$	$3$	$-5$	$-1$	$0$	$-3$	$0$	$0$	$0$	$-5{\zeta }_5^{-2}-5{\zeta }_5^2$	$-5{\zeta }_5^{-1}-5{\zeta }_5$	$0$	$0$	$0$	$0$	$0$	$1$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$
3600.a.16a	R	$16$	$0$	$0$	$0$	$4$	$4$	$1$	$-4$	$-4$	$-4$	$-4$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
3600.a.20a	R	$20$	$0$	$4$	$0$	$-4$	$5$	$-1$	$-5$	$-5$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$0$	$0$	$-1$	$-1$	$1$	$1$	$0$	$0$
3600.a.20b	R	$20$	$4$	$0$	$0$	$5$	$-4$	$-1$	$0$	$0$	$-5$	$-5$	$0$	$0$	$0$	$0$	$1$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$1$	$1$
3600.a.25a	R	$25$	$5$	$5$	$1$	$-5$	$-5$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$