Character table for $(C_3^2\times C_9):C_6$

The column representing the conjugacy class 3I1 is highlighted below.

		1A	2A	3A	3B	3C	3D	3E	3F	3G	3H1	3H-1	3I1	3I-1	3J1	3J-1	3K1	3K-1	3L1	3L-1	6A1	6A-1	9A1	9A2	9A4	9B1	9B2	9B4	9C1	9C2	9C4
	Size	1	81	2	2	2	2	6	6	6	9	9	18	18	18	18	18	18	18	18	81	81	6	6	6	6	6	6	6	6	6
	2 P	1A	1A	3A	3B	3C	3D	3E	3F	3G	3H-1	3H1	3I-1	3I1	3J-1	3J1	3K-1	3K1	3L-1	3L1	3H1	3H-1	9A2	9A4	9A1	9B2	9B4	9B1	9C2	9C4	9C1
	3 P	1A	2A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	2A	2A	3D	3D	3D	3D	3D	3D	3D	3D	3D
	Type
486.173.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.1b	R	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.1c1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.1c2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.1d1	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.1d2	C	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	${\zeta }_3^{-1}$	${\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
486.173.2a	R	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$2$	$-1$	$-1$
486.173.2b	R	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$0$	$0$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.2c	R	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$2$	$2$
486.173.2d	R	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.2e1	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$2$	$2$
486.173.2e2	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-1$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$2$	$2$
486.173.2f1	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.2f2	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.2g1	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3^{-1}$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$2$	$-1$	$-1$
486.173.2g2	C	$2$	$0$	$-1$	$2$	$-1$	$-1$	$2$	$-1$	$-1$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$2$	$-1$	$-1$
486.173.2h1	C	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$2{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$2{\zeta }_3^{-1}$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.2h2	C	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$2{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$-{\zeta }_3$	$-{\zeta }_3^{-1}$	$2{\zeta }_3$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
486.173.6a	R	$6$	$0$	$-3$	$6$	$-3$	$-3$	$-3$	$-3$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
486.173.6b	R	$6$	$0$	$-3$	$6$	$-3$	$-3$	$-3$	$6$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
486.173.6c	R	$6$	$0$	$6$	$6$	$6$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
486.173.6d1	R	$6$	$0$	$-3$	$-3$	$-3$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$
486.173.6d2	R	$6$	$0$	$-3$	$-3$	$-3$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$
486.173.6d3	R	$6$	$0$	$-3$	$-3$	$-3$	$6$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$
486.173.6e1	R	$6$	$0$	$-3$	$-3$	$6$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$
486.173.6e2	R	$6$	$0$	$-3$	$-3$	$6$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$
486.173.6e3	R	$6$	$0$	$-3$	$-3$	$6$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$
486.173.6f1	R	$6$	$0$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$
486.173.6f2	R	$6$	$0$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$
486.173.6f3	R	$6$	$0$	$6$	$-3$	$-3$	$-3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$	$-2{\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}-2{\zeta }_9+2{\zeta }_9^2-{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9-{\zeta }_9^2+2{\zeta }_9^4$