Finite Group Databasebeta

← Group #11757460

Character table — Group #11757460

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111111333333333333333999999999999999999999999999999121212121212121212121212121212121212363636363636363636363636
order1339999992336699991818181818183366666666999918181818181818181818181818181818272727272727272727272727272727272727272727272727272727272727
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111−1+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
χ3111111111111111111111111111111111111111111111111111111−1−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
χ4111111111111111111111111−1+i32−1−i3211−1+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−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111111111111111111111111−1+i32−1−i3211−1+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+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−i32111111−1+i32−1+i32−1+i32
χ6111111111111111111111111−1+i32−1−i3211−1+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−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+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111111111111111−1−i32−1+i3211−1−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+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ8111111111111111111111111−1−i32−1+i3211−1−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+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−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111111111111111−1−i32−1+i3211−1−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−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+i32111111−1−i32−1−i32−1−i32
χ10111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i32ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ3ζ12ζ21ζ3ζ12ζ21ζ6ζ15ζ24ζ6ζ15ζ24
χ11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i32ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ12ζ21ζ3ζ12ζ21ζ3ζ24ζ6ζ15ζ24ζ6ζ15
χ12111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i32ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ21ζ3ζ12ζ21ζ3ζ12ζ15ζ24ζ6ζ15ζ24ζ6
χ13111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ12ζ21ζ3ζ21ζ3ζ12ζ15ζ24ζ6ζ24ζ6ζ15
χ14111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ21ζ3ζ12ζ3ζ12ζ21ζ6ζ15ζ24ζ15ζ24ζ6
χ15111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ3ζ12ζ21ζ12ζ21ζ3ζ24ζ6ζ15ζ6ζ15ζ24
χ16111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ3ζ3ζ3ζ12ζ12ζ12ζ21ζ21ζ21ζ6ζ6ζ6ζ15ζ15ζ15ζ24ζ24ζ24ζ21ζ3ζ12ζ12ζ21ζ3ζ24ζ6ζ15ζ15ζ24ζ6
χ17111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ12ζ12ζ12ζ21ζ21ζ21ζ3ζ3ζ3ζ24ζ24ζ24ζ6ζ6ζ6ζ15ζ15ζ15ζ3ζ12ζ21ζ21ζ3ζ12ζ15ζ24ζ6ζ6ζ15ζ24
χ18111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111ζ21ζ21ζ21ζ3ζ3ζ3ζ12ζ12ζ12ζ15ζ15ζ15ζ24ζ24ζ24ζ6ζ6ζ6ζ12ζ21ζ3ζ3ζ12ζ21ζ6ζ15ζ24ζ24ζ6ζ15
χ19111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i32ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ6ζ24ζ15ζ6ζ24ζ15ζ12ζ3ζ21ζ12ζ3ζ21
χ20111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i32ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ15ζ6ζ24ζ15ζ6ζ24ζ3ζ21ζ12ζ3ζ21ζ12
χ21111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i32ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ24ζ15ζ6ζ24ζ15ζ6ζ21ζ12ζ3ζ21ζ12ζ3
χ22111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ15ζ6ζ24ζ24ζ15ζ6ζ21ζ12ζ3ζ3ζ21ζ12
χ23111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ24ζ15ζ6ζ6ζ24ζ15ζ12ζ3ζ21ζ21ζ12ζ3
χ24111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ6ζ24ζ15ζ15ζ6ζ24ζ3ζ21ζ12ζ12ζ3ζ21
χ25111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32ζ6ζ6ζ6ζ24ζ24ζ24ζ15ζ15ζ15ζ12ζ12ζ12ζ3ζ3ζ3ζ21ζ21ζ21ζ24ζ15ζ6ζ15ζ6ζ24ζ3ζ21ζ12ζ21ζ12ζ3
χ26111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32ζ15ζ15ζ15ζ6ζ6ζ6ζ24ζ24ζ24ζ3ζ3ζ3ζ21ζ21ζ21ζ12ζ12ζ12ζ6ζ24ζ15ζ24ζ15ζ6ζ21ζ12ζ3ζ12ζ3ζ21
χ27111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32ζ24ζ24ζ24ζ15ζ15ζ15ζ6ζ6ζ6ζ21ζ21ζ21ζ12ζ12ζ12ζ3ζ3ζ3ζ15ζ6ζ24ζ6ζ24ζ15ζ12ζ3ζ21ζ3ζ21ζ12
χ283333333333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233333300−3+3i32−3−3i320000000000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000
χ293333333333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233333300−3−3i32−3+3i320000000000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000
χ30333333333-133-1-13333-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ31333333333-133-1-13333-1-1-1-1-1-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000
χ32333333333-133-1-13333-1-1-1-1-1-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000
χ33333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i322−1+i3−1−i32−1+i3−1−i300001−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000000000000000
χ34333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i32−1+i3−1−i32−1−i32−1+i300001−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3000000000000000000000000000000
χ35333333333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i32−1−i32−1+i3−1+i3−1−i3200001−i321+i321−i321+i32−1−i32−1+i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32000000000000000000000000000000
χ36333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i322−1−i3−1+i32−1−i3−1+i300001+i321−i321+i321−i322−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000000000000000000
χ37333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i32−1+i32−1−i3−1−i3−1+i3200001+i321−i321+i321−i32−1+i32−1−i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i32000000000000000000000000000000
χ38333333333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1001+i321−i32−1−i3−1+i32−1+i32−1−i300001+i321−i321+i321−i32−1−i3−1+i32−1−i3−1+i32−1+i32−1−i3−1+i32−1−i3000000000000000000000000000000
χ39333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i3233−3−3i3233−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3+3i32−3−3i320000000000−3−3i3233−3+3i32000000000000000000000000000000000000000000
χ40333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3−3i32−3+3i32333−3−3i32−3+3i323−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3−3i32−3+3i3200000000003−3−3i32−3+3i323000000000000000000000000000000000000000000
χ41333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i3233-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i321−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ42333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3−3i3233−3+3i321−i321−i321+i321+i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i32000000000000000000000000000000
χ43333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-133-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3+3i32−3−3i3231−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1000000000000000000000000000000
χ44333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i322−1+i3−1−i32−1+i3−1−i300001+i32-1-11−i32−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3000000000000000000000000000000
χ45333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i32−1+i3−1−i32−1−i32−1+i300001+i32-1-11−i32−1−i32−1+i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32000000000000000000000000000000
χ46333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3+3i32−3−3i32-1-1−3−3i3233−3+3i321−i321−i321−i321+i321+i321+i32001−i321+i32−1−i32−1+i3−1+i3−1−i3200001+i32-1-11−i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3000000000000000000000000000000
χ47333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i322−1−i3−1+i32−1−i3−1+i30000-11+i321−i32-1−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32000000000000000000000000000000
χ48333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i32−1+i32−1−i3−1−i3−1+i320000-11+i321−i32-1−1−i3−1+i322−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3000000000000000000000000000000
χ49333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1−3−3i32−3+3i32-1-13−3−3i32−3+3i3231−i321−i321−i321+i321+i321+i32001+i321−i32−1−i3−1+i32−1+i32−1−i30000-11+i321−i32-12−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000000000000000000000000000
χ50333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3+3i32−3−3i32333−3+3i32−3−3i323−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3+3i32−3−3i3200000000003−3+3i32−3−3i323000000000000000000000000000000000000000000
χ51333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i3233−3+3i3233−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3−3i32−3+3i320000000000−3+3i3233−3−3i32000000000000000000000000000000000000000000
χ52333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ53333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3−3i32−3+3i3231+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000000000000000
χ54333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-133-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3+3i3233−3−3i321+i321+i321−i321−i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i32000000000000000000000000000000
χ55333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i322−1+i3−1−i32−1+i3−1−i30000-11−i321+i32-1−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32000000000000000000000000000000
χ56333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i32−1+i3−1−i32−1−i32−1+i30000-11−i321+i32-12−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000000000000000000000000000
χ57333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3+3i32−3−3i32-1-13−3+3i32−3−3i3231+i321+i321+i321−i321−i321−i32001−i321+i32−1−i32−1+i3−1+i3−1−i320000-11−i321+i32-1−1+i3−1−i322−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3000000000000000000000000000000
χ58333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i322−1−i3−1+i32−1−i3−1+i300001−i32-1-11+i32−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3000000000000000000000000000000
χ59333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i32−1+i32−1−i3−1−i3−1+i3200001−i32-1-11+i322−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i3−1+i3000000000000000000000000000000
χ60333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1−3−3i32−3+3i32-1-1−3+3i3233−3−3i321+i321+i321+i321−i321−i321−i32001+i321−i32−1−i3−1+i32−1+i32−1−i300001−i32-1-11+i32−1+i32−1−i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32000000000000000000000000000000
χ613−3+3i32−3−3i323ζ33ζ123ζ213ζ63ζ153ζ24300−3+3i32−3−3i3200003ζ33ζ123ζ213ζ63ζ153ζ240000000000000000000000000000002ζ+ζ10−ζ+ζ10−ζ−2ζ102ζ4+ζ13−ζ4+ζ13−ζ4−2ζ132ζ7+ζ16−ζ7+ζ16−ζ7−2ζ16ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17000000000000
χ623−3+3i32−3−3i323ζ33ζ123ζ213ζ63ζ153ζ24300−3+3i32−3−3i3200003ζ33ζ123ζ213ζ63ζ153ζ24000000000000000000000000000000−ζ+ζ10−ζ−2ζ102ζ+ζ10−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13−ζ7+ζ16−ζ7−2ζ162ζ7+ζ16ζ2−ζ11−2ζ2−ζ11ζ2+2ζ11ζ5−ζ14−2ζ5−ζ14ζ5+2ζ14ζ8−ζ17−2ζ8−ζ17ζ8+2ζ17000000000000
χ633−3+3i32−3−3i323ζ33ζ123ζ213ζ63ζ153ζ24300−3+3i32−3−3i3200003ζ33ζ123ζ213ζ63ζ153ζ24000000000000000000000000000000−ζ−2ζ102ζ+ζ10−ζ+ζ10−ζ4−2ζ132ζ4+ζ13−ζ4+ζ13−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17000000000000
χ643−3+3i32−3−3i323ζ123ζ213ζ33ζ243ζ63ζ15300−3+3i32−3−3i3200003ζ123ζ213ζ33ζ243ζ63ζ150000000000000000000000000000002ζ4+ζ13−ζ4+ζ13−ζ4−2ζ13−ζ7+ζ16−ζ7−2ζ162ζ7+ζ162ζ+ζ10−ζ+ζ10−ζ−2ζ10ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17ζ2−ζ11−2ζ2−ζ11ζ2+2ζ11ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14000000000000
χ653−3+3i32−3−3i323ζ123ζ213ζ33ζ243ζ63ζ15300−3+3i32−3−3i3200003ζ123ζ213ζ33ζ243ζ63ζ15000000000000000000000000000000−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16−ζ+ζ10−ζ−2ζ102ζ+ζ10ζ8−ζ17−2ζ8−ζ17ζ8+2ζ17−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11ζ5−ζ14−2ζ5−ζ14ζ5+2ζ14000000000000
χ663−3+3i32−3−3i323ζ123ζ213ζ33ζ243ζ63ζ15300−3+3i32−3−3i3200003ζ123ζ213ζ33ζ243ζ63ζ15000000000000000000000000000000−ζ4−2ζ132ζ4+ζ13−ζ4+ζ132ζ7+ζ16−ζ7+ζ16−ζ7−2ζ16−ζ−2ζ102ζ+ζ10−ζ+ζ10−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14000000000000
χ673−3+3i32−3−3i323ζ213ζ33ζ123ζ153ζ243ζ6300−3+3i32−3−3i3200003ζ213ζ33ζ123ζ153ζ243ζ60000000000000000000000000000002ζ7+ζ16−ζ7+ζ16−ζ7−2ζ162ζ+ζ10−ζ+ζ10−ζ−2ζ10−ζ4−2ζ132ζ4+ζ13−ζ4+ζ13−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11000000000000
χ683−3+3i32−3−3i323ζ213ζ33ζ123ζ153ζ243ζ6300−3+3i32−3−3i3200003ζ213ζ33ζ123ζ153ζ243ζ6000000000000000000000000000000−ζ7+ζ16−ζ7−2ζ162ζ7+ζ16−ζ+ζ10−ζ−2ζ102ζ+ζ102ζ4+ζ13−ζ4+ζ13−ζ4−2ζ13ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14ζ8−ζ17−2ζ8−ζ17ζ8+2ζ17ζ2−ζ11−2ζ2−ζ11ζ2+2ζ11000000000000
χ693−3+3i32−3−3i323ζ213ζ33ζ123ζ153ζ243ζ6300−3+3i32−3−3i3200003ζ213ζ33ζ123ζ153ζ243ζ6000000000000000000000000000000−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16−ζ−2ζ102ζ+ζ10−ζ+ζ10−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13ζ5−ζ14−2ζ5−ζ14ζ5+2ζ14−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11000000000000
χ703−3−3i32−3+3i323ζ63ζ243ζ153ζ123ζ33ζ21300−3−3i32−3+3i3200003ζ63ζ243ζ153ζ123ζ33ζ21000000000000000000000000000000ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13−ζ−2ζ102ζ+ζ10−ζ+ζ10−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16000000000000
χ713−3−3i32−3+3i323ζ63ζ243ζ153ζ123ζ33ζ21300−3−3i32−3+3i3200003ζ63ζ243ζ153ζ123ζ33ζ21000000000000000000000000000000ζ2−ζ11−2ζ2−ζ11ζ2+2ζ11ζ8−ζ17−2ζ8−ζ17ζ8+2ζ17ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14−ζ4−2ζ132ζ4+ζ13−ζ4+ζ132ζ+ζ10−ζ+ζ10−ζ−2ζ102ζ7+ζ16−ζ7+ζ16−ζ7−2ζ16000000000000
χ723−3−3i32−3+3i323ζ63ζ243ζ153ζ123ζ33ζ21300−3−3i32−3+3i3200003ζ63ζ243ζ153ζ123ζ33ζ21000000000000000000000000000000−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17ζ5−ζ14−2ζ5−ζ14ζ5+2ζ142ζ4+ζ13−ζ4+ζ13−ζ4−2ζ13−ζ+ζ10−ζ−2ζ102ζ+ζ10−ζ7+ζ16−ζ7−2ζ162ζ7+ζ16000000000000
χ733−3−3i32−3+3i323ζ153ζ63ζ243ζ33ζ213ζ12300−3−3i32−3+3i3200003ζ153ζ63ζ243ζ33ζ213ζ12000000000000000000000000000000ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14ζ2−ζ11−2ζ2−ζ11ζ2+2ζ11ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17−ζ−2ζ102ζ+ζ10−ζ+ζ102ζ7+ζ16−ζ7+ζ16−ζ7−2ζ16−ζ4−2ζ132ζ4+ζ13−ζ4+ζ13000000000000
χ743−3−3i32−3+3i323ζ153ζ63ζ243ζ33ζ213ζ12300−3−3i32−3+3i3200003ζ153ζ63ζ243ζ33ζ213ζ12000000000000000000000000000000ζ5−ζ14−2ζ5−ζ14ζ5+2ζ14−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11ζ8−ζ17−2ζ8−ζ17ζ8+2ζ172ζ+ζ10−ζ+ζ10−ζ−2ζ10−ζ7+ζ16−ζ7−2ζ162ζ7+ζ162ζ4+ζ13−ζ4+ζ13−ζ4−2ζ13000000000000
χ753−3−3i32−3+3i323ζ153ζ63ζ243ζ33ζ213ζ12300−3−3i32−3+3i3200003ζ153ζ63ζ243ζ33ζ213ζ12000000000000000000000000000000−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17−ζ+ζ10−ζ−2ζ102ζ+ζ10−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13000000000000
χ763−3−3i32−3+3i323ζ243ζ153ζ63ζ213ζ123ζ3300−3−3i32−3+3i3200003ζ243ζ153ζ63ζ213ζ123ζ3000000000000000000000000000000ζ8+2ζ17ζ8−ζ17−2ζ8−ζ17ζ5+2ζ14ζ5−ζ14−2ζ5−ζ14ζ2+2ζ11ζ2−ζ11−2ζ2−ζ11−ζ7−2ζ162ζ7+ζ16−ζ7+ζ16−ζ4−2ζ132ζ4+ζ13−ζ4+ζ13−ζ−2ζ102ζ+ζ10−ζ+ζ10000000000000
χ773−3−3i32−3+3i323ζ243ζ153ζ63ζ213ζ123ζ3300−3−3i32−3+3i3200003ζ243ζ153ζ63ζ213ζ123ζ3000000000000000000000000000000ζ8−ζ17−2ζ8−ζ17ζ8+2ζ17ζ5−ζ14−2ζ5−ζ14ζ5+2ζ14ζ2−ζ11−2ζ2−ζ11ζ2+2ζ112ζ7+ζ16−ζ7+ζ16−ζ7−2ζ162ζ4+ζ13−ζ4+ζ13−ζ4−2ζ132ζ+ζ10−ζ+ζ10−ζ−2ζ10000000000000
χ783−3−3i32−3+3i323ζ243ζ153ζ63ζ213ζ123ζ3300−3−3i32−3+3i3200003ζ243ζ153ζ63ζ213ζ123ζ3000000000000000000000000000000−2ζ8−ζ17ζ8+2ζ17ζ8−ζ17−2ζ5−ζ14ζ5+2ζ14ζ5−ζ14−2ζ2−ζ11ζ2+2ζ11ζ2−ζ11−ζ7+ζ16−ζ7−2ζ162ζ7+ζ16−ζ4+ζ13−ζ4−2ζ132ζ4+ζ13−ζ+ζ10−ζ−2ζ102ζ+ζ10000000000000
χ799−9+9i32−9−9i329ζ39ζ129ζ219ζ69ζ159ζ24-3003−3i323+3i320000−3ζ3−3ζ12−3ζ21−3ζ6−3ζ15−3ζ24000000000000000000000000000000000000000000000000000000000000
χ809−9+9i32−9−9i329ζ129ζ219ζ39ζ249ζ69ζ15-3003−3i323+3i320000−3ζ12−3ζ21−3ζ3−3ζ24−3ζ6−3ζ15000000000000000000000000000000000000000000000000000000000000
χ819−9+9i32−9−9i329ζ219ζ39ζ129ζ159ζ249ζ6-3003−3i323+3i320000−3ζ21−3ζ3−3ζ12−3ζ15−3ζ24−3ζ6000000000000000000000000000000000000000000000000000000000000
χ829−9−9i32−9+9i329ζ69ζ249ζ159ζ129ζ39ζ21-3003+3i323−3i320000−3ζ6−3ζ24−3ζ15−3ζ12−3ζ3−3ζ21000000000000000000000000000000000000000000000000000000000000
χ839−9−9i32−9+9i329ζ159ζ69ζ249ζ39ζ219ζ12-3003+3i323−3i320000−3ζ15−3ζ6−3ζ24−3ζ3−3ζ21−3ζ12000000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i329ζ249ζ159ζ69ζ219ζ129ζ3-3003+3i323−3i320000−3ζ24−3ζ15−3ζ6−3ζ21−3ζ12−3ζ3000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 27 (ζ27 = 1); i = ζ6.