Finite Group Databasebeta

← Group #73166

Character table — Group #73166

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1122233666666666666666666616161616323232323232
order124442244444444444444444443366121212121212
χ1111111111111111111111111111111111111
χ211111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ311111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111-1-1111-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1
χ5111-1-1111-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ6111-1-1111-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ711-11-111-11-11111-1-1-1-11111-1-1-1-11111-11-1-11-1
χ811-11-111-11-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ911-11-111-11-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1011-1-1111-1-111111-1-1-1-1-1-1-1-111111111-1-11-1-11
χ1111-1-1111-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ1211-1-1111-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ133333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1433333-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i0000000000
χ1533333-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i0000000000
χ1633333-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i110000000000
χ1733333-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i110000000000
χ18333-3-3333-3-3-1-1-1-1-1-1-1-1111111110000000000
χ19333-3-3-1-1-11111−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i0000000000
χ20333-3-3-1-1-11111−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i0000000000
χ21333-3-3-1-1-111−1+2i−1−2i11−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-10000000000
χ22333-3-3-1-1-111−1−2i−1+2i11−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-10000000000
χ2333-33-333-33-3-1-1-1-11111-1-1-1-111110000000000
χ2433-33-3-1-11-1111−1+2i−1−2i-1-11−2i1+2i11−1+2i−1−2i-1-11−2i1+2i0000000000
χ2533-33-3-1-11-1111−1−2i−1+2i-1-11+2i1−2i11−1−2i−1+2i-1-11+2i1−2i0000000000
χ2633-33-3-1-11-11−1+2i−1−2i111−2i1+2i-1-1−1+2i−1−2i111−2i1+2i-1-10000000000
χ2733-33-3-1-11-11−1−2i−1+2i111+2i1−2i-1-1−1−2i−1+2i111+2i1−2i-1-10000000000
χ2833-3-3333-3-33-1-1-1-111111111-1-1-1-10000000000
χ2933-3-33-1-111-111−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i0000000000
χ3033-3-33-1-111-111−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i0000000000
χ3133-3-33-1-111-1−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i110000000000
χ3233-3-33-1-111-1−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i110000000000
χ334-4000-440000000000000000000-2-222000000
χ344-4000-4400000000000000000001+i31−i3−1−i3−1+i3000000
χ354-4000-4400000000000000000001−i31+i3−1+i3−1−i3000000
χ3612-120004-400000000000000000000000000000

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