Character table for $C_{20}$

The column representing the conjugacy class 10A-1 is highlighted below.

1A

2A

4A1

4A-1

5A1

5A-1

5A2

5A-2

10A1

10A-1

10A3

10A-3

20A1

20A-1

20A3

20A-3

20A7

20A-7

20A9

20A-9

Size

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

2 P

1A

1A

2A

2A

5A2

5A-2

5A-1

5A1

5A1

5A-1

5A-2

5A2

10A1

10A-1

10A3

10A-3

10A-3

10A3

10A-1

10A1

5 P

1A

2A

4A1

4A-1

1A

1A

1A

1A

2A

2A

2A

2A

4A1

4A-1

4A-1

4A1

4A-1

4A1

4A1

4A-1

Type

20.2.1a

R

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

20.2.1b

R

$1$

$1$

$-1$

$-1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

$-1$

20.2.1c1

C

$1$

$-1$

$-i$

$i$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$-i$

$i$

$i$

$-i$

$i$

$-i$

$-i$

$i$

20.2.1c2

C

$1$

$-1$

$i$

$-i$

$1$

$1$

$1$

$1$

$-1$

$-1$

$-1$

$-1$

$i$

$-i$

$-i$

$i$

$-i$

$i$

$i$

$-i$

20.2.1d1

C

$1$

$1$

$1$

$1$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^{-2}$

${\zeta }_5^2$

20.2.1d2

C

$1$

$1$

$1$

$1$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^2$

${\zeta }_5^{-2}$

20.2.1d3

C

$1$

$1$

$1$

$1$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-1}$

${\zeta }_5$

20.2.1d4

C

$1$

$1$

$1$

$1$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5$

${\zeta }_5^{-1}$

20.2.1e1

C

$1$

$1$

$-1$

$-1$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^2$

${\zeta }_5^{-2}$

$-{\zeta }_5^2$

$-{\zeta }_5^{-2}$

$-{\zeta }_5$

$-{\zeta }_5^{-1}$

$-{\zeta }_5^{-1}$

$-{\zeta }_5$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^2$

20.2.1e2

C

$1$

$1$

$-1$

$-1$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^2$

$-{\zeta }_5^{-1}$

$-{\zeta }_5$

$-{\zeta }_5$

$-{\zeta }_5^{-1}$

$-{\zeta }_5^2$

$-{\zeta }_5^{-2}$

20.2.1e3

C

$1$

$1$

$-1$

$-1$

${\zeta }_5^{-1}$

${\zeta }_5$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5$

${\zeta }_5^{-1}$

$-{\zeta }_5$

$-{\zeta }_5^{-1}$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^2$

$-{\zeta }_5^2$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^{-1}$

$-{\zeta }_5$

20.2.1e4

C

$1$

$1$

$-1$

$-1$

${\zeta }_5$

${\zeta }_5^{-1}$

${\zeta }_5^2$

${\zeta }_5^{-2}$

${\zeta }_5^{-2}$

${\zeta }_5^2$

${\zeta }_5^{-1}$

${\zeta }_5$

$-{\zeta }_5^{-1}$

$-{\zeta }_5$

$-{\zeta }_5^2$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^{-2}$

$-{\zeta }_5^2$

$-{\zeta }_5$

$-{\zeta }_5^{-1}$

20.2.1f1

C

$1$

$-1$

$-{\zeta }_{20}^5$

${\zeta }_{20}^5$

$-{\zeta }_{20}^2$

${\zeta }_{20}^8$

${\zeta }_{20}^4$

$-{\zeta }_{20}^6$

${\zeta }_{20}^6$

$-{\zeta }_{20}^4$

$-{\zeta }_{20}^8$

${\zeta }_{20}^2$

${\zeta }_{20}^3$

$-{\zeta }_{20}^7$

${\zeta }_{20}^9$

$-{\zeta }_{20}$

${\zeta }_{20}$

$-{\zeta }_{20}^9$

${\zeta }_{20}^7$

$-{\zeta }_{20}^3$

20.2.1f2

C

$1$

$-1$

${\zeta }_{20}^5$

$-{\zeta }_{20}^5$

${\zeta }_{20}^8$

$-{\zeta }_{20}^2$

$-{\zeta }_{20}^6$

${\zeta }_{20}^4$

$-{\zeta }_{20}^4$

${\zeta }_{20}^6$

${\zeta }_{20}^2$

$-{\zeta }_{20}^8$

$-{\zeta }_{20}^7$

${\zeta }_{20}^3$

$-{\zeta }_{20}$

${\zeta }_{20}^9$

$-{\zeta }_{20}^9$

${\zeta }_{20}$

$-{\zeta }_{20}^3$

${\zeta }_{20}^7$

20.2.1f3

C

$1$

$-1$

$-{\zeta }_{20}^5$

${\zeta }_{20}^5$

${\zeta }_{20}^8$

$-{\zeta }_{20}^2$

$-{\zeta }_{20}^6$

${\zeta }_{20}^4$

$-{\zeta }_{20}^4$

${\zeta }_{20}^6$

${\zeta }_{20}^2$

$-{\zeta }_{20}^8$

${\zeta }_{20}^7$

$-{\zeta }_{20}^3$

${\zeta }_{20}$

$-{\zeta }_{20}^9$

${\zeta }_{20}^9$

$-{\zeta }_{20}$

${\zeta }_{20}^3$

$-{\zeta }_{20}^7$

20.2.1f4

C

$1$

$-1$

${\zeta }_{20}^5$

$-{\zeta }_{20}^5$

$-{\zeta }_{20}^2$

${\zeta }_{20}^8$

${\zeta }_{20}^4$

$-{\zeta }_{20}^6$

${\zeta }_{20}^6$

$-{\zeta }_{20}^4$

$-{\zeta }_{20}^8$

${\zeta }_{20}^2$

$-{\zeta }_{20}^3$

${\zeta }_{20}^7$

$-{\zeta }_{20}^9$

${\zeta }_{20}$

$-{\zeta }_{20}$

${\zeta }_{20}^9$

$-{\zeta }_{20}^7$

${\zeta }_{20}^3$

20.2.1f5

C

$1$

$-1$

$-{\zeta }_{20}^5$

${\zeta }_{20}^5$

$-{\zeta }_{20}^6$

${\zeta }_{20}^4$

$-{\zeta }_{20}^2$

${\zeta }_{20}^8$

$-{\zeta }_{20}^8$

${\zeta }_{20}^2$

$-{\zeta }_{20}^4$

${\zeta }_{20}^6$

$-{\zeta }_{20}^9$

${\zeta }_{20}$

$-{\zeta }_{20}^7$

${\zeta }_{20}^3$

$-{\zeta }_{20}^3$

${\zeta }_{20}^7$

$-{\zeta }_{20}$

${\zeta }_{20}^9$

20.2.1f6

C

$1$

$-1$

${\zeta }_{20}^5$

$-{\zeta }_{20}^5$

${\zeta }_{20}^4$

$-{\zeta }_{20}^6$

${\zeta }_{20}^8$

$-{\zeta }_{20}^2$

${\zeta }_{20}^2$

$-{\zeta }_{20}^8$

${\zeta }_{20}^6$

$-{\zeta }_{20}^4$

${\zeta }_{20}$

$-{\zeta }_{20}^9$

${\zeta }_{20}^3$

$-{\zeta }_{20}^7$

${\zeta }_{20}^7$

$-{\zeta }_{20}^3$

${\zeta }_{20}^9$

$-{\zeta }_{20}$

20.2.1f7

C

$1$

$-1$

$-{\zeta }_{20}^5$

${\zeta }_{20}^5$

${\zeta }_{20}^4$

$-{\zeta }_{20}^6$

${\zeta }_{20}^8$

$-{\zeta }_{20}^2$

${\zeta }_{20}^2$

$-{\zeta }_{20}^8$

${\zeta }_{20}^6$

$-{\zeta }_{20}^4$

$-{\zeta }_{20}$

${\zeta }_{20}^9$

$-{\zeta }_{20}^3$

${\zeta }_{20}^7$

$-{\zeta }_{20}^7$

${\zeta }_{20}^3$

$-{\zeta }_{20}^9$

${\zeta }_{20}$

20.2.1f8

C

$1$

$-1$

${\zeta }_{20}^5$

$-{\zeta }_{20}^5$

$-{\zeta }_{20}^6$

${\zeta }_{20}^4$

$-{\zeta }_{20}^2$

${\zeta }_{20}^8$

$-{\zeta }_{20}^8$

${\zeta }_{20}^2$

$-{\zeta }_{20}^4$

${\zeta }_{20}^6$

${\zeta }_{20}^9$

$-{\zeta }_{20}$

${\zeta }_{20}^7$

$-{\zeta }_{20}^3$

${\zeta }_{20}^3$

$-{\zeta }_{20}^7$

${\zeta }_{20}$

$-{\zeta }_{20}^9$