Finite Group Databasebeta

← Group #13180905

Character table — Group #13180905

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111444444446622228888888812123333121212121212121218182222888888881212444416161616161616162424666624242424242424243636333312121212121212121818666624242424242424243636999936363636363636365454
order124433661212121224361212336612121212612224466661212121224361212336612121212612361212336612121212612661212666612121212612224466661212121224661212666612121212612224466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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+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−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
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
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−i32-1111-1-1−1−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+i32-1111-1-1−1+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−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−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−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−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−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−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
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−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−i32-1-11111−1−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
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−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111−1+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+i32-1-11111−1+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
χ1811-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1
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−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-111-1-1−1−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+i321-111-1-1−1−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
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+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-111-1-1−1+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−i321-111-1-1−1+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
χ212-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002-22i−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−ζ7ζ7002-22i−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
χ232-22i−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−ζ11ζ11002-22i−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−ζ11ζ11002-22i−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
χ242-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−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−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002-2−2i2i1+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−ζ7002-2−2i2i1+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
χ262-2−2i2i1−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−ζ11002-2−2i2i1−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−ζ11002-2−2i2i1−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
χ27333300000000-1-1333300000000-1-1-3-3-3-30000000011333300000000-1-1333300000000-1-1-3-3-3-30000000011333300000000-1-1333300000000-1-1-3-3-3-30000000011
χ2833-3-3000000001-133-3-3000000001-1-3-33300000000-1133-3-3000000001-133-3-3000000001-1-3-33300000000-1133-3-3000000001-133-3-3000000001-1-3-33300000000-11
χ2922222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1000000000000002222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1000000000000002222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-100000000000000
χ312222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1000000000000002222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1000000000000002222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-100000000000000
χ3222-2-22222-2-2-2-2-22-1-111-1-1-1-111111-10000000000000022-2-22222-2-2-2-2-22-1-111-1-1-1-111111-10000000000000022-2-22222-2-2-2-2-22-1-111-1-1-1-111111-100000000000000
χ3322-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-22-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-10000000000000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-22-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-10000000000000022-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-22-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-100000000000000
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χ1144444−2−2i3−2+2i3−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i344-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-200000000000000-2-2-2-21+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+i321100000000000000000000000000000000000000000000000000000000
χ1154444−2+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+i3-2-200000000000000-2-2-2-21−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−i321100000000000000000000000000000000000000000000000000000000
χ11644-4-44444-4-4-4-4-44-2-222-2-2-2-222222-200000000000000-2-222-2-2-2-222222-211-1-11111-1-1-1-1-1100000000000000000000000000000000000000000000000000000000
χ11744-4-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32+2i32−2i32−2i3-44-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-200000000000000-2-2221+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−i32-1100000000000000000000000000000000000000000000000000000000
χ11844-4-4−2+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−i32-200000000000000-2-2221−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+i32-1100000000000000000000000000000000000000000000000000000000
χ1198-88i−8i-4-4444i−4i4i−4i00-44−4i4i22-2-2−2i2i−2i2i0000000000000000-44−4i4i22-2-2−2i2i−2i2i002-22i−2i-1-111i−ii−i0000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i2+2i32−2i3−2−2i3−2+2i34ζ11−4ζ114ζ7−4ζ700-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000-44−4i4i−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i2−2i32+2i3−2+2i3−2−2i34ζ7−4ζ74ζ11−4ζ1100-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000-44−4i4i−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i-4-444−4i4i−4i4i00-444i−4i22-2-22i−2i2i−2i0000000000000000-444i−4i22-2-22i−2i2i−2i002-2−2i2i-1-111−ii−ii0000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i2+2i32−2i3−2−2i3−2+2i3−4ζ114ζ11−4ζ74ζ700-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000-444i−4i−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i2−2i32+2i3−2+2i3−2−2i3−4ζ74ζ7−4ζ114ζ1100-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000-444i−4i−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110000000000000000000000000000000000000000000000000000000000
χ1251212121200000000-4-4-6-6-6-6000000002200000000000000-6-6-6-60000000022333300000000-1-100000000000000000000000000000000000000000000000000000000
χ1261212-12-12000000004-4-6-66600000000-2200000000000000-6-66600000000-2233-3-3000000001-100000000000000000000000000000000000000000000000000000000

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