Finite Group Databasebeta

← Group #5950

Character table — Group #5950

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22
size111166666666661616161616161616
order12442222244444336612121212
χ11111111111111111111111
χ211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ311111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ411-1-1111-1-111-1-1-11111-1-1-1-1
χ511-1-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ611-1-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ733333-1-1-1-1-1-13-1-100000000
χ83333-13-1-1-1-1-1-13-100000000
χ93333-1-13-1-1-1-1-1-1300000000
χ103333-1-1-13-13-1-1-1-100000000
χ113333-1-1-1-13-13-1-1-100000000
χ1233-3-33-1-111-1-1-31100000000
χ1333-3-3-13-111-1-11-3100000000
χ1433-3-3-1-1311-1-111-300000000
χ1533-3-3-1-1-11-3-1311100000000
χ1633-3-3-1-1-1-313-111100000000
χ174-44i−4i000000000011-1-1i−ii−i
χ184-44i−4i0000000000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ194-44i−4i0000000000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ204-4−4i4i000000000011-1-1−ii−ii
χ214-4−4i4i0000000000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ224-4−4i4i0000000000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11

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