Finite Group Databasebeta

← Group #66449

Character table — Group #66449

Order 324.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111333333332226666666633399999999111333333332226666666633399999999
order133339999993333399999926666181818181818266661818181818186666618181818181826666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ5111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ6111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ7111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ8111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ9111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ103−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000
χ113−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ1411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ15111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ16111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ17111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ18111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ19111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ20111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ213−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000
χ223−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000
χ2322222222222-1-1-1-1-1-1-1-1-1-1-10000000000022222222222-1-1-1-1-1-1-1-1-1-1-100000000000
χ2422222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321+i321+i321+i320000000000022222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321+i321+i321+i3200000000000
χ2522222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321−i321−i321−i320000000000022222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321−i321−i321−i3200000000000
χ26222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321+i32-11−i321+i32-11−i321+i3200000000000222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321+i32-11−i321+i32-11−i321+i3200000000000
χ27222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321+i321−i321+i32-11+i32-11−i3200000000000222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321+i321−i321+i32-11+i32-11−i3200000000000
χ28222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321+i321+i32-11−i321−i321+i32-100000000000222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321+i321+i32-11−i321−i321+i32-100000000000
χ29222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321−i32-11+i321−i32-11+i321−i3200000000000222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321−i32-11+i321−i32-11+i321−i3200000000000
χ30222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321−i321−i32-11+i321+i321−i32-100000000000222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321−i321−i32-11+i321+i321−i32-100000000000
χ31222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321−i321+i321−i32-11−i32-11+i3200000000000222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321−i321+i321−i32-11−i32-11+i3200000000000
χ326−3+3i3−3−3i300000000-33−3i323+3i3200000000000000000006−3+3i3−3−3i300000000-33−3i323+3i320000000000000000000
χ336−3−3i3−3+3i300000000-33+3i323−3i3200000000000000000006−3−3i3−3+3i300000000-33+3i323−3i320000000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ3611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ37111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ38111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ39111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ40111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ41111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ42111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ433−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000-33−3i323+3i3200000000-33−3i323+3i3200000000
χ443−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000-33+3i323−3i3200000000-33+3i323−3i3200000000
χ451111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111
χ4611111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4711111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ48111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ49111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ50111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ51111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ52111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ53111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ543−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000-33−3i323+3i3200000000-33−3i323+3i32000000003−3+3i32−3−3i3200000000
χ553−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000-33+3i323−3i3200000000-33+3i323−3i32000000003−3−3i32−3+3i3200000000
χ5622222222222-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-2-2-2-2-2-2-2-21111111111100000000000
χ5722222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321+i321+i321+i3200000000000-2-2-2-2-21−i31−i31−i31+i31+i31+i311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000
χ5822222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321−i321−i321−i3200000000000-2-2-2-2-21+i31+i31+i31−i31−i31−i311111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000
χ59222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321+i32-11−i321+i32-11−i321+i3200000000000-2-2-21−i31+i3-21−i31+i3-21−i31+i3111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000000
χ60222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321+i321−i321+i32-11+i32-11−i3200000000000-2-2-21−i31+i31−i31+i3-21+i3-21−i3111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000000000
χ61222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321+i321+i32-11−i321−i321+i32-100000000000-2-2-21−i31+i31+i3-21−i31−i31+i3-2111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000000000
χ62222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321−i32-11+i321−i32-11+i321−i3200000000000-2-2-21+i31−i3-21+i31−i3-21+i31−i3111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000000
χ63222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321−i321−i32-11+i321+i321−i32-100000000000-2-2-21+i31−i31−i3-21+i31+i31−i3-2111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000000000
χ64222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321−i321+i321−i32-11−i32-11+i3200000000000-2-2-21+i31−i31+i31−i3-21−i3-21+i3111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000000000
χ656−3+3i3−3−3i300000000-33−3i323+3i320000000000000000000-63−3i33+3i3000000003−3+3i32−3−3i320000000000000000000
χ666−3−3i3−3+3i300000000-33+3i323−3i320000000000000000000-63+3i33−3i3000000003−3−3i32−3+3i320000000000000000000

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