Character table for $C_2\times C_{14}$

The column representing the conjugacy class 14C-1 is highlighted below.

1A

2A

2B

2C

7A1

7A-1

7A2

7A-2

7A3

7A-3

14A1

14A-1

14A3

14A-3

14A5

14A-5

14B1

14B-1

14B3

14B-3

14B5

14B-5

14C1

14C-1

14C3

14C-3

14C5

14C-5

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

1

2 P

1A

1A

1A

1A

7A2

7A-2

7A-3

7A3

7A-1

7A1

7A1

7A-1

7A3

7A-3

7A-2

7A2

7A2

7A-2

7A-1

7A1

7A3

7A-3

7A1

7A-1

7A3

7A-3

7A-2

7A2

7 P

1A

2A

2B

2C

7A3

7A-3

7A-1

7A1

7A2

7A-2

14A3

14A-3

14A-5

14A5

14A1

14A-1

14B3

14B-3

14B-5

14B5

14B1

14B-1

14C3

14C-3

14C-5

14C5

14C1

14C-1

Type

28.4.1a

R

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

28.4.1b

R

$1$

$-1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$1$

$-1$

$-1$

$-1$

$-1$

$1$

$-1$

$1$

$-1$

$-1$

$1$

$1$

28.4.1c

R

$1$

$-1$

$1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$1$

$-1$

$-1$

$-1$

$1$

$-1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

28.4.1d

R

$1$

$1$

$-1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

$1$

$-1$

$1$

$1$

$-1$

$-1$

28.4.1e1

C

$1$

$1$

$1$

$1$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^{-2}$

${\zeta }_7^{-2}$

${\zeta }_7^3$

${\zeta }_7^3$

${\zeta }_7^2$

${\zeta }_7$

${\zeta }_7^{-3}$

${\zeta }_7^2$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

28.4.1e2

C

$1$

$1$

$1$

$1$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-1}$

${\zeta }_7$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^2$

${\zeta }_7^2$

${\zeta }_7^{-3}$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

${\zeta }_7^3$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7$

${\zeta }_7^3$

28.4.1e3

C

$1$

$1$

$1$

$1$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^3$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7$

${\zeta }_7$

${\zeta }_7^2$

${\zeta }_7^2$

${\zeta }_7^{-1}$

${\zeta }_7^3$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

28.4.1e4

C

$1$

$1$

$1$

$1$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

${\zeta }_7^3$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^{-1}$

${\zeta }_7^{-1}$

${\zeta }_7^{-2}$

${\zeta }_7^{-2}$

${\zeta }_7$

${\zeta }_7^{-3}$

${\zeta }_7^2$

${\zeta }_7$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^3$

${\zeta }_7^2$

28.4.1e5

C

$1$

$1$

$1$

$1$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

${\zeta }_7^2$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-3}$

${\zeta }_7^{-3}$

${\zeta }_7$

${\zeta }_7$

${\zeta }_7^3$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

${\zeta }_7^3$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^2$

${\zeta }_7^{-1}$

28.4.1e6

C

$1$

$1$

$1$

$1$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^2$

${\zeta }_7^{-2}$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^3$

${\zeta }_7^3$

${\zeta }_7^{-1}$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

${\zeta }_7^2$

${\zeta }_7$

${\zeta }_7^{-3}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^{-2}$

${\zeta }_7$

28.4.1f1

C

$1$

$-1$

$-1$

$1$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-2}$

${\zeta }_7^3$

$-{\zeta }_7^3$

$-{\zeta }_7^2$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

${\zeta }_7^2$

$-{\zeta }_7$

${\zeta }_7^{-2}$

$-{\zeta }_7^2$

$-{\zeta }_7^3$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

28.4.1f2

C

$1$

$-1$

$-1$

$1$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-1}$

$-{\zeta }_7$

$-{\zeta }_7^3$

$-{\zeta }_7$

$-{\zeta }_7^2$

$-{\zeta }_7^2$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

${\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

${\zeta }_7^2$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

${\zeta }_7$

${\zeta }_7^3$

28.4.1f3

C

$1$

$-1$

$-1$

$1$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^3$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7$

$-{\zeta }_7$

${\zeta }_7^2$

$-{\zeta }_7^2$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

${\zeta }_7^{-1}$

$-{\zeta }_7^3$

${\zeta }_7$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^2$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

28.4.1f4

C

$1$

$-1$

$-1$

$1$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

$-{\zeta }_7^3$

$-{\zeta }_7^2$

$-{\zeta }_7^3$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-1}$

${\zeta }_7^{-2}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

${\zeta }_7$

$-{\zeta }_7^{-3}$

${\zeta }_7^{-1}$

$-{\zeta }_7$

$-{\zeta }_7^{-2}$

${\zeta }_7^3$

${\zeta }_7^2$

28.4.1f5

C

$1$

$-1$

$-1$

$1$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

$-{\zeta }_7^2$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^2$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-3}$

${\zeta }_7$

$-{\zeta }_7$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

${\zeta }_7^3$

$-{\zeta }_7^{-2}$

${\zeta }_7^{-3}$

$-{\zeta }_7^3$

$-{\zeta }_7$

${\zeta }_7^2$

${\zeta }_7^{-1}$

28.4.1f6

C

$1$

$-1$

$-1$

$1$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^2$

$-{\zeta }_7^{-2}$

$-{\zeta }_7$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^3$

$-{\zeta }_7^3$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

$-{\zeta }_7$

${\zeta }_7^{-3}$

$-{\zeta }_7^2$

${\zeta }_7^3$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

${\zeta }_7^{-2}$

${\zeta }_7$

28.4.1g1

C

$1$

$-1$

$1$

$-1$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

$-{\zeta }_7$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

${\zeta }_7^{-2}$

$-{\zeta }_7^3$

${\zeta }_7^3$

${\zeta }_7^2$

${\zeta }_7$

${\zeta }_7^{-3}$

$-{\zeta }_7^2$

$-{\zeta }_7$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^2$

$-{\zeta }_7^3$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

28.4.1g2

C

$1$

$-1$

$1$

$-1$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

$-{\zeta }_7^{-1}$

${\zeta }_7$

$-{\zeta }_7^3$

$-{\zeta }_7$

$-{\zeta }_7^2$

${\zeta }_7^2$

$-{\zeta }_7^{-3}$

${\zeta }_7^{-3}$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

${\zeta }_7^3$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^2$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7$

$-{\zeta }_7^3$

28.4.1g3

C

$1$

$-1$

$1$

$-1$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

$-{\zeta }_7^3$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7$

${\zeta }_7$

$-{\zeta }_7^2$

${\zeta }_7^2$

${\zeta }_7^{-1}$

${\zeta }_7^3$

${\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

$-{\zeta }_7$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^2$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

28.4.1g4

C

$1$

$-1$

$1$

$-1$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

${\zeta }_7^3$

$-{\zeta }_7^2$

$-{\zeta }_7^3$

$-{\zeta }_7^{-1}$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

${\zeta }_7^{-2}$

${\zeta }_7$

${\zeta }_7^{-3}$

${\zeta }_7^2$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^3$

$-{\zeta }_7^2$

28.4.1g5

C

$1$

$-1$

$1$

$-1$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

${\zeta }_7^2$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^2$

$-{\zeta }_7^{-3}$

${\zeta }_7^{-3}$

$-{\zeta }_7$

${\zeta }_7$

${\zeta }_7^3$

${\zeta }_7^{-2}$

${\zeta }_7^{-1}$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^3$

$-{\zeta }_7$

$-{\zeta }_7^2$

$-{\zeta }_7^{-1}$

28.4.1g6

C

$1$

$-1$

$1$

$-1$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

$-{\zeta }_7^2$

${\zeta }_7^{-2}$

$-{\zeta }_7$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^3$

${\zeta }_7^3$

$-{\zeta }_7^{-1}$

${\zeta }_7^{-1}$

${\zeta }_7^{-3}$

${\zeta }_7^2$

${\zeta }_7$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

$-{\zeta }_7^3$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7$

28.4.1h1

C

$1$

$1$

$-1$

$-1$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

$-{\zeta }_7$

$-{\zeta }_7^{-1}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^{-2}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^3$

$-{\zeta }_7^3$

$-{\zeta }_7^2$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

${\zeta }_7$

$-{\zeta }_7^{-2}$

${\zeta }_7^2$

${\zeta }_7^3$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

28.4.1h2

C

$1$

$1$

$-1$

$-1$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

$-{\zeta }_7^{-1}$

$-{\zeta }_7$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^2$

$-{\zeta }_7^2$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

${\zeta }_7^{-1}$

$-{\zeta }_7^2$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

$-{\zeta }_7$

$-{\zeta }_7^3$

28.4.1h3

C

$1$

$1$

$-1$

$-1$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

$-{\zeta }_7^3$

$-{\zeta }_7^{-3}$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7$

$-{\zeta }_7$

$-{\zeta }_7^2$

$-{\zeta }_7^2$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

${\zeta }_7^3$

$-{\zeta }_7$

${\zeta }_7^{-1}$

${\zeta }_7^2$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

28.4.1h4

C

$1$

$1$

$-1$

$-1$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^3$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

$-{\zeta }_7$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-1}$

${\zeta }_7$

${\zeta }_7^{-2}$

$-{\zeta }_7^3$

$-{\zeta }_7^2$

28.4.1h5

C

$1$

$1$

$-1$

$-1$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^2$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^{-3}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7$

$-{\zeta }_7$

$-{\zeta }_7^3$

$-{\zeta }_7^{-2}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^3$

${\zeta }_7^{-2}$

$-{\zeta }_7^{-3}$

${\zeta }_7^3$

${\zeta }_7$

$-{\zeta }_7^2$

$-{\zeta }_7^{-1}$

28.4.1h6

C

$1$

$1$

$-1$

$-1$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

${\zeta }_7^2$

${\zeta }_7^3$

$-{\zeta }_7^2$

$-{\zeta }_7^{-2}$

${\zeta }_7$

${\zeta }_7^{-2}$

${\zeta }_7^3$

$-{\zeta }_7^3$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-1}$

$-{\zeta }_7^{-3}$

$-{\zeta }_7^2$

$-{\zeta }_7$

$-{\zeta }_7^{-3}$

${\zeta }_7^2$

$-{\zeta }_7^3$

${\zeta }_7^{-3}$

${\zeta }_7^{-1}$

$-{\zeta }_7^{-2}$

$-{\zeta }_7$