Finite Group Databasebeta

← Group #88884

Character table — Group #88884

Order 432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size1119991818181818181818182411199918181818181818181824
order13326644412121212121232662664441212121212126
χ111111111111111111111111111111111
χ21111111-1-111-1-1-1-111111111-1-111-1-1-1-11
χ3111111-11-1-1-111-1-11111111-11-1-1-111-1-11
χ4111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111
χ5222-2-2-20000000002222-2-2-20000000002
χ63−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320
χ73−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i3203−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i320
χ83−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i3203−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i320
χ93−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i320
χ103−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320
χ113−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i3203−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i320
χ123−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i3203−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i320
χ133−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i320
χ146−3+3i3−3−3i32−1+i3−1−i300000000006−3+3i3−3−3i32−1+i3−1−i30000000000
χ156−3−3i3−3+3i32−1−i3−1+i300000000006−3−3i3−3+3i32−1−i3−1+i30000000000
χ16888000000000000-1888000000000000-1
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ181111111-1-111-1-1-1-11-1-1-1-1-1-1-111-1-11111-1
χ19111111-11-1-1-111-1-11-1-1-1-1-1-11-1111-1-111-1
χ20111111-1-11-1-1-1-1111-1-1-1-1-1-111-11111-1-1-1
χ21222-2-2-20000000002-2-2-2222000000000-2
χ223−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320-33−3i323+3i321−1+i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i320
χ233−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i320-33−3i323+3i321−1+i32−1−i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i320
χ243−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i320-33−3i323+3i321−1+i32−1−i321-11−1+i32−1−i321−i321+i32−1+i32−1−i320
χ253−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i320-33−3i323+3i321−1+i32−1−i3211-1−1+i32−1−i32−1+i32−1−i321−i321+i320
χ263−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320-33+3i323−3i321−1−i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i320
χ273−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i320-33+3i323−3i321−1−i32−1+i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i320
χ283−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i320-33+3i323−3i321−1−i32−1+i321-11−1−i32−1+i321+i321−i32−1−i32−1+i320
χ293−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i320-33+3i323−3i321−1−i32−1+i3211-1−1−i32−1+i32−1−i32−1+i321+i321−i320
χ306−3+3i3−3−3i32−1+i3−1−i30000000000-63−3i33+3i3-21−i31+i30000000000
χ316−3−3i3−3+3i32−1−i3−1+i30000000000-63+3i33−3i3-21+i31−i30000000000
χ32888000000000000-1-8-8-80000000000001

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