Finite Group Databasebeta

← Group #13142891

Character table — Group #13142891

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222233333333444444466666666666666666666888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363636363636363636363636
order122222344666336666664661212121266669991212121218181818181818181844121212121212181818181818363636363636363636363636121212123636363636363636363636364444888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i3211−1−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+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111−1−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
χ6111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i3211−1−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+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ7111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ8111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ9111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i3211−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111−1+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
χ10111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i3211−1+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−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ11111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ12111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-111111111111111-1-1-111-1-1-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ141111-1-111111111111111-1-1-111-1-1-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-111
χ151111-1-111111111111111-1-1-111-1-1-1-1-1-11111111111111111-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ161111-1-111111111111111-1-1-111-1-1-1-1-1-11111111111111111-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1
χ171111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-1-1111+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ181111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-1-1111+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ191111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1111-1-11+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ201111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-11+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1111-1-11+i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ211111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-1-1111−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ221111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-1-1111−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ231111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1111-1-11−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-11−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1111-1-11−i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ252222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ262222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ27222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i32222222−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000000000
χ28222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i32-2-2-2-2-2-2−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000000000
χ29222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32222222−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000000000
χ30222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32-2-2-2-2-2-2−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000000000
χ312222222-2-222222222222-222-2-2-2-22222222-2-2-2-2222222222000000-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ322222222-2-222222222222-222-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-11111111111110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ332222222-2-222222222222-222-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-11111111111110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ342222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-222-2-2-2-2−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000001+i31−i322−1−i3−1−i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i30000000000000000000000000000000000000000
χ352222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-222-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-11+i321−i32-11+i321−i320000001+i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000000000000000000000
χ362222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-222-2-2-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-11+i321−i32-11+i321−i320000001+i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32000000000000000000000000
χ372222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-222-2-2-2-2−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000001−i31+i322−1+i3−1+i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i30000000000000000000000000000000000000000
χ382222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-222-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32-11−i321+i32-11−i321+i320000001−i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32000000000000000000000000
χ392222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-222-2-2-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i3-11−i321+i32-11−i321+i32-11−i321+i320000001−i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32000000000000000000000000
χ402222-2-222222222222222-2-2-222-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-12-2-2-222-2-2111111-1-111-1-111-1-11122-2-2111111-1-1-1-1-1-1000000000000000000000000
χ412222-2-222222222222222-2-2-222-2-2-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-2222-2-2-2-2111111-1-111-1-111-1-111-2-222-1-1-1-1-1-1111111000000000000000000000000
χ422222-2-2222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-21+i31+i31−i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i322-2-2-2221+i31−i311−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i3−1+i31+i31−i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000000000000000
χ432222-2-2222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-21+i31+i31−i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-11+i321−i32-11+i321−i32-2222-2-21+i31−i311−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i31−i3−1−i3−1+i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000000000
χ442222-2-2222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-21−i31−i31+i31+i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i322-2-2-2221−i31+i311−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i3−1−i31−i31+i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000000000000000
χ452222-2-2222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-21−i31−i31+i31+i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-11−i321+i32-11−i321+i32-2222-2-21−i31+i311−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i31+i3−1+i3−1−i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000000000
χ462222-2-22-2-2222222222222-2-2-2-222-2-2-2-2222-2-2-2-222222222200000022-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000000000000000
χ472222-2-22-2-2222222222222-2-2-2-222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-10000002211111111-1-111-1-111-1-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000000000000000000000
χ482222-2-22-2-2222222222222-2-2-2-222-2-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-10000002211111111-1-111-1-111-1-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000000000000000
χ492222-2-22-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-2-2-2221+i31+i31−i31−i32−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000−1−i3−1+i3-2-21+i31+i31−i31−i3-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30000000000000000000000000000000000000000
χ502222-2-22-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-2-2-2221+i31+i31−i31−i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-11+i321−i32-11+i321−i32000000−1−i3−1+i311−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i320000−i3i3−3+i323−i323+i32−3−i32i3−i33−i32−3+i32−3−i323+i32000000000000000000000000
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χ5622-2-22-22002-2-22222-2-2-2-202-200002-22-22220000222-2-2-2-2-2-2000000002-22-22-200000000000000000000000000000000−22−2200000000−22−22−22−22
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χ874-44-40044-4-4-44−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i30004-4000000-21−i31+i3−2+2i32−2i3−2−2i32+2i32−1+i3−1−i32−1+i3−1−i3-21−i31+i300000000000000-22001−i3−1+i3001+i3−1−i3000000000000000000000000000000000000000000
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χ102666666-3-6-6-3-3-300000000-6-3-333330000000000000000000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000
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χ1046666-6-6-366-3-3-300000000-633-3-333000000000000000000006-633-3-3000000000000000000000000000000000000000000000000000000000000
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χ1076666-6-6-3-6-6-3-3-30000000063333-3-300000000000000000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1081212-12-1212-12-600-666000000000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1091212-12-12-1212-600-6660000000006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212-1200-612-1266-600000000000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11112-1212-1200-6-121266-6000000000006-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12-121200-6006-66000000000000063−6300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11312-12-121200-6006-660000000000000−636300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.