Finite Group Databasebeta

← Group #13180673

Character table — Group #13180673

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11114444444466444416161616161616162424444416161616161616162424999936363636363636365454999936363636363636365454999936363636363636365454
order12443366121212122436121233661212121261236121233661212121261222446666121212122444441212121212121212444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ31111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ72-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00
χ82-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700
χ92-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ102-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00
χ112-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700
χ122-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
χ1511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ1811-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1
χ1911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ2011-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ212-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700
χ232-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100
χ242-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i00
χ252-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700
χ262-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100
χ27333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011
χ2833-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1-3-33300000000-11-3-33300000000-11
χ29111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ11ζ7ζ11ζ7ζ11ζ11ζ7ζ7ii−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7−i−i
χ311111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1iiiiζ7ζ11ζ7ζ11ζ7ζ7ζ11ζ11ii−i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ7−ζ11−ζ11−i−i
χ3211-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1ii−i−iiiii−i−i−i−i−ii−i−iii−i−i−i−iiiiii−i
χ3311-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1ii−i−iζ11ζ7ζ11ζ7−ζ11−ζ11−ζ7−ζ7−ii−i−iii−ζ11−ζ7−ζ11−ζ7ζ11ζ11ζ7ζ7i−i
χ3411-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1ii−i−iζ7ζ11ζ7ζ11−ζ7−ζ7−ζ11−ζ11−ii−i−iii−ζ7−ζ11−ζ7−ζ11ζ7ζ7ζ11ζ11i−i
χ352-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii002i−2i-22−i−iii-11-1100−2i2i2-2ii−i−i1-11-100
χ362-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002i−2i-22−ζ11−ζ7ζ11ζ71+i32−1−i321−i32−1+i3200−2i2i2-2ζ11ζ7−ζ11−ζ7−1−i321+i32−1+i321−i3200
χ372-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11002i−2i-22−ζ7−ζ11ζ7ζ111−i32−1+i321+i32−1−i3200−2i2i2-2ζ7ζ11−ζ7−ζ11−1+i321−i32−1−i321+i3200
χ382-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i002i−2i2-2−i−iii1-11-100−2i2i-22ii−i−i-11-1100
χ392-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002i−2i2-2−ζ11−ζ7ζ11ζ7−1−i321+i32−1+i321−i3200−2i2i-22ζ11ζ7−ζ11−ζ71+i32−1−i321−i32−1+i3200
χ402-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11002i−2i2-2−ζ7−ζ11ζ7ζ11−1+i321−i32−1−i321+i3200−2i2i-22ζ7ζ11−ζ7−ζ111−i32−1+i321+i32−1−i3200
χ41333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-300000000113i3i3i3i00000000−i−i−3i−3i−3i−3i00000000ii
χ4233-3-3000000001-133-3-3000000001-133-3-3000000001-1-3-33300000000-113i3i−3i−3i00000000i−i−3i−3i3i3i00000000−ii
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii
χ441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1−i−i−i−i−ζ11−ζ7−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7−i−iiiiiζ11ζ7ζ11ζ7ζ11ζ11ζ7ζ7ii
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1−i−i−i−i−ζ7−ζ11−ζ7−ζ11−ζ7−ζ7−ζ11−ζ11−i−iiiiiζ7ζ11ζ7ζ11ζ7ζ7ζ11ζ11ii
χ4611-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1−i−iii−i−i−i−iiiiii−iii−i−iiiii−i−i−i−i−ii
χ4711-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1−i−iii−ζ11−ζ7−ζ11−ζ7ζ11ζ11ζ7ζ7i−iii−i−iζ11ζ7ζ11ζ7−ζ11−ζ11−ζ7−ζ7−ii
χ4811-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1−i−iii−ζ7−ζ11−ζ7−ζ11ζ7ζ7ζ11ζ11i−iii−i−iζ7ζ11ζ7ζ11−ζ7−ζ7−ζ11−ζ11−ii
χ492-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00−2i2i2-2ii−i−i1-11-1002i−2i-22−i−iii-11-1100
χ502-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700−2i2i2-2ζ11ζ7−ζ11−ζ7−1−i321+i32−1+i321−i32002i−2i-22−ζ11−ζ7ζ11ζ71+i32−1−i321−i32−1+i3200
χ512-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100−2i2i2-2ζ7ζ11−ζ7−ζ11−1+i321−i32−1−i321+i32002i−2i-22−ζ7−ζ11ζ7ζ111−i32−1+i321+i32−1−i3200
χ522-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00−2i2i-22ii−i−i-11-11002i−2i2-2−i−iii1-11-100
χ532-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700−2i2i-22ζ11ζ7−ζ11−ζ71+i32−1−i321−i32−1+i32002i−2i2-2−ζ11−ζ7ζ11ζ7−1−i321+i32−1+i321−i3200
χ542-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100−2i2i-22ζ7ζ11−ζ7−ζ111−i32−1+i321+i32−1−i32002i−2i2-2−ζ7−ζ11ζ7ζ11−1+i321−i32−1−i321+i3200
χ55333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011−3i−3i−3i−3i00000000ii3i3i3i3i00000000−i−i
χ5633-3-3000000001-133-3-3000000001-133-3-3000000001-1-3-33300000000-11−3i−3i3i3i00000000−ii3i3i−3i−3i00000000i−i
χ574444444444444411111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ584444−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i3441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-2000000000000000000000000000000000000000000
χ594444−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i3441111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-2000000000000000000000000000000000000000000
χ6044-4-44444-4-4-4-4-4411-1-11111-1-1-1-1-11-2-222-2-2-2-222222-2000000000000000000000000000000000000000000
χ6144-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32+2i32−2i32−2i3-4411-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-2000000000000000000000000000000000000000000
χ6244-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32−2i32+2i32+2i3-4411-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i32-2000000000000000000000000000000000000000000
χ638-88i−8i-4-4444i−4i4i−4i002-22i−2i-1-111i−ii−i00-44−4i4i22-2-2−2i2i−2i2i00000000000000000000000000000000000000000000
χ648-88i−8i2+2i32−2i3−2−2i3−2+2i34ζ11−4ζ114ζ7−4ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000000000000000000000000000
χ658-88i−8i2−2i32+2i3−2+2i3−2−2i34ζ7−4ζ74ζ11−4ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000000000000000000000000000
χ668-8−8i8i-4-444−4i4i−4i4i002-2−2i2i-1-111−ii−ii00-444i−4i22-2-22i−2i2i−2i00000000000000000000000000000000000000000000
χ678-8−8i8i2+2i32−2i3−2−2i3−2+2i3−4ζ114ζ11−4ζ74ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ700000000000000000000000000000000000000000000
χ688-8−8i8i2−2i32+2i3−2+2i3−2−2i3−4ζ74ζ7−4ζ114ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000000000000000000000000000000000
χ691212121200000000-4-4333300000000-1-1-6-6-6-60000000022000000000000000000000000000000000000000000
χ701212-12-12000000004-433-3-3000000001-1-6-66600000000-22000000000000000000000000000000000000000000
χ7144444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111000000000000000000000000000000000000000000
χ724444−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i344-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211000000000000000000000000000000000000000000
χ734444−2+2i3−2−2i3−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i344-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-21111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211000000000000000000000000000000000000000000
χ7444-4-44444-4-4-4-4-44-2-222-2-2-2-222222-211-1-11111-1-1-1-1-11000000000000000000000000000000000000000000
χ7544-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32+2i32−2i32−2i3-44-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11000000000000000000000000000000000000000000
χ7644-4-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32−2i32+2i32+2i3-44-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i32-211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11000000000000000000000000000000000000000000
χ778-88i−8i-4-4444i−4i4i−4i00-44−4i4i22-2-2−2i2i−2i2i002-22i−2i-1-111i−ii−i00000000000000000000000000000000000000000000
χ788-88i−8i2+2i32−2i3−2−2i3−2+2i34ζ11−4ζ114ζ7−4ζ700-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700000000000000000000000000000000000000000000
χ798-88i−8i2−2i32+2i3−2+2i3−2−2i34ζ7−4ζ74ζ11−4ζ1100-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100000000000000000000000000000000000000000000
χ808-8−8i8i-4-444−4i4i−4i4i00-444i−4i22-2-22i−2i2i−2i002-2−2i2i-1-111−ii−ii00000000000000000000000000000000000000000000
χ818-8−8i8i2+2i32−2i3−2−2i3−2+2i3−4ζ114ζ11−4ζ74ζ700-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700000000000000000000000000000000000000000000
χ828-8−8i8i2−2i32+2i3−2+2i3−2−2i3−4ζ74ζ7−4ζ114ζ1100-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100000000000000000000000000000000000000000000
χ831212121200000000-4-4-6-6-6-60000000022333300000000-1-1000000000000000000000000000000000000000000
χ841212-12-12000000004-4-6-66600000000-2233-3-3000000001-1000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.