Character table for $D_{26}$

The column representing the conjugacy class 13A5 is highlighted below.

1A

2A

2B

2C

13A1

13A2

13A3

13A4

13A5

13A6

26A1

26A3

26A5

26A7

26A9

26A11

Size

1

1

13

13

2

2

2

2

2

2

2

2

2

2

2

2

2 P

1A

1A

1A

1A

13A2

13A4

13A6

13A5

13A3

13A1

13A1

13A3

13A5

13A6

13A4

13A2

13 P

1A

2A

2B

2C

1A

1A

1A

1A

1A

1A

2A

2A

2A

2A

2A

2A

Type

52.4.1a

R

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

52.4.1b

R

$1$

$-1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

52.4.1c

R

$1$

$-1$

$1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

52.4.1d

R

$1$

$1$

$-1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

52.4.2a1

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

52.4.2a2

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

52.4.2a3

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

52.4.2a4

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

52.4.2a5

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

52.4.2a6

R

$2$

$2$

$0$

$0$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

52.4.2b1

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

52.4.2b2

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

52.4.2b3

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

52.4.2b4

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

52.4.2b5

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

52.4.2b6

R

$2$

$-2$

$0$

$0$

${\zeta }_{13}^{-1}+{\zeta }_{13}$

${\zeta }_{13}^{-2}+{\zeta }_{13}^2$

${\zeta }_{13}^{-3}+{\zeta }_{13}^3$

${\zeta }_{13}^{-4}+{\zeta }_{13}^4$

${\zeta }_{13}^{-5}+{\zeta }_{13}^5$

${\zeta }_{13}^{-6}+{\zeta }_{13}^6$

$-{\zeta }_{13}^{-6}-{\zeta }_{13}^6$

$-{\zeta }_{13}^{-5}-{\zeta }_{13}^5$

$-{\zeta }_{13}^{-4}-{\zeta }_{13}^4$

$-{\zeta }_{13}^{-3}-{\zeta }_{13}^3$

$-{\zeta }_{13}^{-2}-{\zeta }_{13}^2$

$-{\zeta }_{13}^{-1}-{\zeta }_{13}$