Character table for $C_9^2:D_6$

The column representing the conjugacy class 9A1 is highlighted below.

		1A	2A	2B	2C	3A	3B	3C	3D	6A	6B	6C	9A1	9A2	9A4	9B1	9B2	9B4	9C1	9C2	9C4	18A1	18A5	18A7	18B1	18B5	18B7
	Size	1	27	27	81	2	6	54	108	54	54	162	6	6	6	6	6	6	12	12	12	54	54	54	54	54	54
	2 P	1A	1A	1A	1A	3A	3B	3C	3D	3B	3A	3C	9A2	9A4	9A1	9B2	9B4	9B1	9C2	9C4	9C1	9A1	9A4	9A2	9B1	9B4	9B2
	3 P	1A	2A	2B	2C	1A	1A	1A	1A	2A	2B	2C	3B	3B	3B	3A	3A	3A	3B	3B	3B	6A	6A	6A	6B	6B	6B
	Type
972.115.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
972.115.1b	R	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
972.115.1c	R	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$
972.115.1d	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
972.115.2a	R	$2$	$0$	$0$	$2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$-1$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
972.115.2b	R	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$-1$	$2$	$0$	$0$	$-1$	$-1$	$2$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$
972.115.2c	R	$2$	$-2$	$0$	$0$	$2$	$2$	$2$	$-1$	$-2$	$0$	$0$	$-1$	$-1$	$2$	$2$	$-1$	$2$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$0$	$0$	$0$
972.115.2d	R	$2$	$0$	$0$	$-2$	$2$	$2$	$-1$	$-1$	$0$	$0$	$1$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
972.115.4a	R	$4$	$0$	$0$	$0$	$4$	$4$	$-2$	$1$	$0$	$0$	$0$	$-2$	$-2$	$4$	$4$	$-2$	$4$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
972.115.6a	R	$6$	$0$	$2$	$0$	$6$	$6$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$-3$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$-1$	$-1$	$-1$
972.115.6b	R	$6$	$0$	$-2$	$0$	$6$	$6$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$-3$	$-3$	$0$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$	$1$
972.115.6c1	R	$6$	$2$	$0$	$0$	$6$	$-3$	$0$	$0$	$-1$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$	$0$	$0$	$0$
972.115.6c2	R	$6$	$2$	$0$	$0$	$6$	$-3$	$0$	$0$	$-1$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	$0$	$0$	$0$
972.115.6c3	R	$6$	$2$	$0$	$0$	$6$	$-3$	$0$	$0$	$-1$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$	$0$	$0$	$0$
972.115.6d1	R	$6$	$0$	$2$	$0$	$-3$	$0$	$0$	$0$	$0$	$-1$	$0$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$0$	$0$	$0$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$
972.115.6d2	R	$6$	$0$	$2$	$0$	$-3$	$0$	$0$	$0$	$0$	$-1$	$0$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	$0$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$
972.115.6d3	R	$6$	$0$	$2$	$0$	$-3$	$0$	$0$	$0$	$0$	$-1$	$0$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$0$	$0$	$0$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$
972.115.6e1	R	$6$	$-2$	$0$	$0$	$6$	$-3$	$0$	$0$	$1$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$0$	$0$	$0$
972.115.6e2	R	$6$	$-2$	$0$	$0$	$6$	$-3$	$0$	$0$	$1$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$0$	$0$	$0$
972.115.6e3	R	$6$	$-2$	$0$	$0$	$6$	$-3$	$0$	$0$	$1$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$	$0$	$0$	$0$
972.115.6f1	R	$6$	$0$	$-2$	$0$	$-3$	$0$	$0$	$0$	$0$	$1$	$0$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$0$	$0$	$0$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$
972.115.6f2	R	$6$	$0$	$-2$	$0$	$-3$	$0$	$0$	$0$	$0$	$1$	$0$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	$0$	$0$	$0$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$
972.115.6f3	R	$6$	$0$	$-2$	$0$	$-3$	$0$	$0$	$0$	$0$	$1$	$0$	$-2{\zeta }_9^{-4}+2+2{\zeta }_9-2{\zeta }_9^2$	$2-2{\zeta }_9+2{\zeta }_9^2-2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-{\zeta }_9^{-4}-1-{\zeta }_9^4$	${\zeta }_9^{-4}-1-{\zeta }_9+{\zeta }_9^2$	$-1+{\zeta }_9-{\zeta }_9^2+{\zeta }_9^4$	$0$	$0$	$0$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$
972.115.12a1	R	$12$	$0$	$0$	$0$	$-6$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_9^{-4}-2-2{\zeta }_9+2{\zeta }_9^2$	$-2+2{\zeta }_9-2{\zeta }_9^2+2{\zeta }_9^4$	$2{\zeta }_9^{-4}-4{\zeta }_9+4{\zeta }_9^2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2+4{\zeta }_9^4$	$-2{\zeta }_9^{-4}-2-2{\zeta }_9^4$	$-4{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2-2{\zeta }_9^4$	${\zeta }_9^{-4}+1+{\zeta }_9^4$	$-{\zeta }_9^{-4}+1+{\zeta }_9-{\zeta }_9^2$	$1-{\zeta }_9+{\zeta }_9^2-{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$
972.115.12a2	R	$12$	$0$	$0$	$0$	$-6$	$0$	$0$	$0$	$0$	$0$	$0$	$-2+2{\zeta }_9-2{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}-2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2+4{\zeta }_9^4$	$-4{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}-2-2{\zeta }_9+2{\zeta }_9^2$	$2{\zeta }_9^{-4}-4{\zeta }_9+4{\zeta }_9^2-2{\zeta }_9^4$	$-{\zeta }_9^{-4}+1+{\zeta }_9-{\zeta }_9^2$	$1-{\zeta }_9+{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+1+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$
972.115.12a3	R	$12$	$0$	$0$	$0$	$-6$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9^{-4}-2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}-2-2{\zeta }_9+2{\zeta }_9^2$	$-4{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2-2{\zeta }_9^4$	$2{\zeta }_9^{-4}-4{\zeta }_9+4{\zeta }_9^2-2{\zeta }_9^4$	$-2+2{\zeta }_9-2{\zeta }_9^2+2{\zeta }_9^4$	$2{\zeta }_9^{-4}+2{\zeta }_9-2{\zeta }_9^2+4{\zeta }_9^4$	$1-{\zeta }_9+{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+1+{\zeta }_9^4$	$-{\zeta }_9^{-4}+1+{\zeta }_9-{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$