Character table for $C_3\times C_9$

The row representing the character 27.2.1h6 is highlighted below.

1A

3A1

3A-1

3B1

3B-1

3C1

3C-1

3D1

3D-1

9A1

9A-1

9A2

9A-2

9A4

9A-4

9B1

9B-1

9B2

9B-2

9B4

9B-4

9C1

9C-1

9C2

9C-2

9C4

9C-4

Size

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

3 P

1A

3A-1

3A1

3B-1

3B1

3C-1

3C1

3D-1

3D1

9A2

9A-2

9A4

9A-4

9A-1

9A1

9B2

9B-2

9B4

9B-4

9B-1

9B1

9C2

9C-2

9C4

9C-4

9C-1

9C1

Type

27.2.1a

R

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

27.2.1b1

C

$1$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

27.2.1b2

C

$1$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

27.2.1c1

C

$1$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3$

27.2.1c2

C

$1$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

$1$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

27.2.1d1

C

$1$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

$1$

$1$

$1$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

$1$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

27.2.1d2

C

$1$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

$1$

$1$

$1$

${\zeta }_3^{-1}$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

$1$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

27.2.1e1

C

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

27.2.1e2

C

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3^{-1}$

${\zeta }_3$

${\zeta }_3$

${\zeta }_3$

27.2.1f1

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

27.2.1f2

C

$1$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^4$

27.2.1f3

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^2$

27.2.1f4

C

$1$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^{-2}$

27.2.1f5

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9^{-1}$

27.2.1f6

C

$1$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9$

27.2.1g1

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

27.2.1g2

C

$1$

${\zeta }_9^3$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9$

27.2.1g3

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^{-4}$

27.2.1g4

C

$1$

${\zeta }_9^3$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^4$

27.2.1g5

C

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^2$

27.2.1g6

C

$1$

${\zeta }_9^3$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^{-2}$

27.2.1h1

C

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^2$

27.2.1h2

C

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

27.2.1h3

C

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

27.2.1h4

C

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^{-2}$

${\zeta }_9$

${\zeta }_9$

27.2.1h5

C

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^{-4}$

${\zeta }_9^4$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^2$

${\zeta }_9^4$

${\zeta }_9^{-2}$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

27.2.1h6

C

$1$

${\zeta }_9^3$

$1$

${\zeta }_9^{-3}$

$1$

${\zeta }_9^{-3}$

${\zeta }_9^{-3}$

${\zeta }_9^3$

${\zeta }_9^3$

${\zeta }_9$

${\zeta }_9$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^4$

${\zeta }_9^{-4}$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^{-2}$

${\zeta }_9^{-1}$

${\zeta }_9^{-1}$

${\zeta }_9^{-2}$

${\zeta }_9^{-4}$

${\zeta }_9^2$

${\zeta }_9^2$

${\zeta }_9$

${\zeta }_9^4$

${\zeta }_9^4$