Finite Group Databasebeta

← Group #3910

Character table — Group #3910

Order 156.

C1C2C3C4C5C6C7C8C9C10C11C12C13
size1121313131313131313131313
order113233446612121212
χ11111111111111
χ211111-1-111-1-1-1-1
χ3111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ5111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ6111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ711-111i−i-1-1i−ii−i
χ811-111−ii-1-1−ii−ii
χ911-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7
χ1011-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7
χ1111-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11
χ1211-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11
χ1312-100000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.