Finite Group Databasebeta

← Group #89103

Character table — Group #89103

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size134439121241216164121616134439121241216164121616134439121241216164121616
order123322663633363336336666363336333633666636333633
χ1111111111111111111111111111111111111111111111111
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−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+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
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−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+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+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+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+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−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−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−i32003-1003-100−3−3i321+i3200−3+3i321−i3200
χ133333-1-1-1-1000000003333-1-1-1-1000000003333-1-1-1-100000000
χ1433−3+3i32−3−3i32-1-11−i321+i320000000033−3+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−i320000000033−3−3i32−3+3i32-1-11+i321−i3200000000
χ169-300-3100000000009-300-3100000000009-300-310000000000
χ171111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32
χ1911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321
χ203-1003-1003-1003-100−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200
χ2111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32
χ2211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321
χ2311−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32
χ243-1003-100−3+3i321−i3200−3−3i321+i3200−3+3i321−i3200−3+3i321−i3200−3−3i321+i32003-100−3−3i321+i3200−3−3i321+i32003-100−3+3i321−i3200
χ2511111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111
χ2611−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32
χ283-1003-100−3−3i321+i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i32003-100−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3+3i321−i32003-100
χ293333-1-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000
χ3033−3+3i32−3−3i32-1-11−i321+i3200000000−3+3i32−3+3i32−3−3i3231−i321−i321+i32-100000000−3−3i32−3−3i323−3+3i321+i321+i32-11−i3200000000
χ3133−3−3i32−3+3i32-1-11+i321−i3200000000−3+3i32−3+3i323−3−3i321−i321−i32-11+i3200000000−3−3i32−3−3i32−3+3i3231+i321+i321−i32-100000000
χ329-300-310000000000−9+9i323−3i32003−3i32−1+i320000000000−9−9i323+3i32003+3i32−1−i320000000000
χ331111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3411−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321
χ3511−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32
χ363-1003-1003-1003-100−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200
χ3711111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111
χ3811−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i321−1+i3211−1+i32−1−i32
χ3911−1−i32−1+i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32111−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1−i32−1+i32111−1−i32−1+i32
χ403-1003-100−3+3i321−i3200−3−3i321+i3200−3−3i321+i3200−3−3i321+i32003-100−3+3i321−i3200−3+3i321−i3200−3+3i321−i3200−3−3i321+i32003-100
χ4111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32
χ4211−1+i32−1−i3211−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32111−1+i32−1−i32−1−i32−1−i321−1+i32
χ4311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i321−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i321−1−i3211−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1+i32−1−i32−1−i32−1+i321
χ443-1003-100−3−3i321+i3200−3+3i321−i3200−3−3i321+i3200−3−3i321+i3200−3+3i321−i32003-100−3+3i321−i3200−3+3i321−i32003-100−3−3i321+i3200
χ453333-1-1-1-100000000−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000
χ4633−3+3i32−3−3i32-1-11−i321+i3200000000−3−3i32−3−3i323−3+3i321+i321+i32-11−i3200000000−3+3i32−3+3i32−3−3i3231−i321−i321+i32-100000000
χ4733−3−3i32−3+3i32-1-11+i321−i3200000000−3−3i32−3−3i32−3+3i3231+i321+i321−i32-100000000−3+3i32−3+3i323−3−3i321−i321−i32-11+i3200000000
χ489-300-310000000000−9−9i323+3i32003+3i32−1−i320000000000−9+9i323−3i32003−3i32−1+i320000000000

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