Finite Group Databasebeta

← Group #73285

Character table — Group #73285

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11336666666666666666666664646464
order1222222244444444444444443366
χ11111111111111111111111111111
χ2111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ3111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ433333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ53333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-10000
χ63333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-10000
χ73333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-10000
χ83333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133330000
χ933-1-13-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i0000
χ1033-1-13-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i0000
χ1133-1-13-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i110000
χ1233-1-13-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i110000
χ1333-1-1-13-1-111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i110000
χ1433-1-1-13-1-111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i110000
χ1533-1-1-13-1-1−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i0000
χ1633-1-1-13-1-1−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i0000
χ1733-1-1-1-13-111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i0000
χ1833-1-1-1-13-111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i0000
χ1933-1-1-1-13-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i110000
χ2033-1-1-1-13-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i110000
χ2133-1-1-1-1-1311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i110000
χ2233-1-1-1-1-1311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i110000
χ2333-1-1-1-1-13−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i0000
χ2433-1-1-1-1-13−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i0000
χ254-44-40000000000000000000011-1-1
χ264-44-400000000000000000000−1−i32−1+i321+i321−i32
χ274-44-400000000000000000000−1+i32−1−i321−i321+i32
χ2812-12-44000000000000000000000000

Here i is the imaginary unit (i² = −1).