Finite Group Databasebeta

← Group #742

Character table — Group #742

Order 84.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14
size11667777777777
order1271433446612121212
χ111111111111111
χ2111111-1-111-1-1-1-1
χ31111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ51111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ71-11-111i−i-1-1i−ii−i
χ81-11-111−ii-1-1−ii−ii
χ91-11-1−1−i32−1+i32i−i1+i321−i32ζ11−ζ11ζ7−ζ7
χ101-11-1−1−i32−1+i32−ii1+i321−i32−ζ11ζ11−ζ7ζ7
χ111-11-1−1+i32−1−i32i−i1−i321+i32ζ7−ζ7ζ11−ζ11
χ121-11-1−1+i32−1−i32−ii1−i321+i32−ζ7ζ7−ζ11ζ11
χ1366-1-10000000000
χ146-6-110000000000

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