Finite Group Databasebeta

← Group #64381

Character table — Group #64381

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size134439121241216164121616134439121241216164121616
order12332266363336332266226666666666
χ111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-100
χ511111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32
χ711−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321
χ83-1003-100−3+3i321−i3200−3−3i321+i32003-1003-100−3+3i321−i3200−3−3i321+i3200
χ911111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ1011−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321
χ1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32
χ123-1003-100−3−3i321+i3200−3+3i321−i32003-1003-100−3−3i321+i3200−3+3i321−i3200
χ133333-1-1-1-1000000003333-1-1-1-100000000
χ1433−3+3i32−3−3i32-1-11−i321+i320000000033−3+3i32−3−3i32-1-11−i321+i3200000000
χ1533−3−3i32−3+3i32-1-11+i321−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000
χ169-300-3100000000009-300-310000000000
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ1911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ203-1003-1003-1003-100-3100-3100-3100-3100
χ2111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ2211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i32-11+i321+i32-11−i32
χ2311−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321-1-11+i321−i32-1-11+i321−i321−i321−i32-11+i321+i321+i321−i32-1
χ243-1003-100−3+3i321−i3200−3−3i321+i3200-3100-31003−3i32−1+i32003+3i32−1−i3200
χ2511111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ2611−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321-1-11−i321+i32-1-11−i321+i321+i321+i32-11−i321−i321−i321+i32-1
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i32-11−i321−i32-11+i32
χ283-1003-100−3−3i321+i3200−3+3i321−i3200-3100-31003+3i32−1−i32003−3i32−1+i3200
χ293333-1-1-1-100000000-3-3-3-3111100000000
χ3033−3+3i32−3−3i32-1-11−i321+i3200000000-3-33−3i323+3i3211−1+i32−1−i3200000000
χ3133−3−3i32−3+3i32-1-11+i321−i3200000000-3-33+3i323−3i3211−1−i32−1+i3200000000
χ329-300-310000000000-93003-10000000000

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