Finite Group Databasebeta

← Group #13142951

Character table — Group #13142951

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size11112222222233333333444444466666666666666666666888888121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636363636363636363636363636
order122234444666336666664121212121212333666666666121212121212121244121212121212121212121212121212121212121212121212121212121212121212121212121212124444888812121212121212122424242424242424
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+i3211111111−1−i32−1+i321−1−i32−1+i3211−1−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+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+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i3211111111−1−i32−1+i321−1−i32−1+i3211−1−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+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+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i3211111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−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−i32-1-1-1-11+i321+i321+i321+i321−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+i3211111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1−1−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−i32-1-1-1-11+i321+i321+i321+i321−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−i3211111111−1+i32−1−i321−1+i32−1−i3211−1+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−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−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i3211111111−1+i32−1−i321−1+i32−1−i3211−1+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−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−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i3211111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+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+i32-1-1-1-11−i321−i321−i321−i321+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−i3211111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1−1+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+i32-1-1-1-11−i321−i321−i321−i321+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
χ1311111-1-11111111111111-111-1-1-1-1111111111111-1-1-1-111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ1411111-1-11111111111111-111-1-1-1-1111111111111-1-1-1-111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ1511111-1-11111111111111-111-1-1-1-1111111111111-1-1-1-11111-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ1611111-1-11111111111111-111-1-1-1-1111111111111-1-1-1-11111-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ1711111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321-111-1-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1811111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321-111-1-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1911111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-11-1-1111+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ2011111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-1-11−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-11-1-1111+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ2111111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321-111-1-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ2211111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321-111-1-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ2311111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-11-1-1111−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ2411111-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-1-11−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-11-1-1111−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ25222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ26222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ27222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3222222−1−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+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ28222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32222222-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-2−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i31+i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ29222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3222222−1+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−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ30222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32222222-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-2−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i31−i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ312222222-2-222222222222-2-2-222-2-22222222222222222-2-2-2-2000000-2-2-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ322222222-2-222222222222-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2000000-2-2111111-1-111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ332222222-2-222222222222-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2000000-2-2111111-1-111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ342222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-22−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i30000001+i31−i3-2-21+i31+i31−i31−i322-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i30000000000000000000000000000000000000000
χ352222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-2-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i30000001+i31−i311−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000
χ362222222-2-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-2-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i30000001+i31−i311−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i320000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000
χ372222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-22−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i30000001−i31+i3-2-21−i31−i31+i31+i322-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i30000000000000000000000000000000000000000
χ382222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-2-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i30000001−i31+i311−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000000000000000
χ392222222-2-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-2-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i30000001−i31+i311−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i320000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000000000000000
χ4022222-2-22222222222222-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-222-2-2-2-2-1-1-1-1-1-111111111111122-2-2-1-111-1-111-1-111000000000000000000000000
χ4122222-2-22222222222222-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-22-2-222-2-2-1-1-1-1-1-1111111111111-2-22211-1-111-1-111-1-1000000000000000000000000
χ4222222-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-222-2-2-2-2-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i32-222-2-21+i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i31+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000000000000000
χ4322222-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-222-2-2-2-2-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-22-2-2221+i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3−1−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000000000000000
χ4422222-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-222-2-2-2-2-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i32-222-2-21−i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i31−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000000000000000
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χ4822222-2-2-2-2222222222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000002211111111-1-111-1-111-1-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
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χ8644-4-440000-4-44−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i30000000-21−i31+i32−1+i3−1−i32-2−1+i31−i3−1−i31+i300000000000000000000000023−2300−2ζ14−4ζ222ζ14+4ζ22004ζ14+2ζ22−4ζ14−2ζ220000000000000000000000000000000000000000
χ8744-4-440000-4-44−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i30000000-21−i31+i32−1+i3−1−i32-2−1+i31−i3−1−i31+i3000000000000000000000000−2323002ζ14+4ζ22−2ζ14−4ζ2200−4ζ14−2ζ224ζ14+2ζ220000000000000000000000000000000000000000
χ884-44-44004-44-4-444-4-444-4-404-40000-2-2-2-2-2-2222222000044-4-400000000-22-22-220000000000000000000000000000000000000000000000000000
χ894-44-44004-44-4-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i304-40000-21+i31−i3-21+i31−i322−1−i3−1−i3−1+i3−1+i30000−2−2i3−2+2i32+2i32−2i300000000-221+i3−1−i31−i3−1+i30000000000000000000000000000000000000000000000000000
χ904-44-44004-44-4-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i304-40000-21−i31+i3-21−i31+i322−1+i3−1+i3−1−i3−1−i30000−2+2i3−2−2i32−2i32+2i300000000-221−i3−1+i31+i3−1−i30000000000000000000000000000000000000000000000000000
χ914-44-4400-444-4-444-4-444-4-40-440000-2-2-2-2-2-22222220000-4-444000000002-22-22-20000000000000000000000000000000000000000000000000000
χ924-44-4400-444-4-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i30-440000-21+i31−i3-21+i31−i322−1−i3−1−i3−1+i3−1+i300002+2i32−2i3−2−2i3−2+2i3000000002-2−1−i31+i3−1+i31−i30000000000000000000000000000000000000000000000000000
χ934-44-4400-444-4-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i30-440000-21−i31+i3-21−i31+i322−1+i3−1+i3−1−i3−1−i300002−2i32+2i3−2+2i3−2−2i3000000002-2−1+i31−i3−1−i31+i30000000000000000000000000000000000000000000000000000
χ944-4-4444i−4i00-44-444-4-4-4-4440004i−4i00-2-2-2222-22-22-224i−4i4i−4i000000000000000000−2i2i00−2i2i00−2i2i000000000000000000000000000000000000000000
χ954-4-4444i−4i00-44-4−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i30004i−4i00-21+i31−i32−1−i3−1+i3-221+i3−1−i31−i3−1+i34ζ22−4ζ224ζ14−4ζ14000000000000000000−2i2i00−2ζ222ζ2200−2ζ142ζ14000000000000000000000000000000000000000000
χ964-4-4444i−4i00-44-4−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i30004i−4i00-21−i31+i32−1+i3−1−i3-221−i3−1+i31+i3−1−i34ζ14−4ζ144ζ22−4ζ22000000000000000000−2i2i00−2ζ142ζ1400−2ζ222ζ22000000000000000000000000000000000000000000
χ974-4-444−4i4i00-44-444-4-4-4-444000−4i4i00-2-2-2222-22-22-22−4i4i−4i4i0000000000000000002i−2i002i−2i002i−2i000000000000000000000000000000000000000000
χ984-4-444−4i4i00-44-4−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i3000−4i4i00-21+i31−i32−1−i3−1+i3-221+i3−1−i31−i3−1+i3−4ζ224ζ22−4ζ144ζ140000000000000000002i−2i002ζ22−2ζ22002ζ14−2ζ14000000000000000000000000000000000000000000
χ994-4-444−4i4i00-44-4−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i3000−4i4i00-21−i31+i32−1+i3−1−i3-221−i3−1+i31+i3−1−i3−4ζ144ζ14−4ζ224ζ220000000000000000002i−2i002ζ14−2ζ14002ζ22−2ζ22000000000000000000000000000000000000000000
χ1006666-36666-3-3-3000000006-3-3-3-3-3-30000000000000000000066-3-3-3-3000000000000000000000000000000000000000000000000000000000000
χ1016666-36666-3-3-3000000006-3-3-3-3-3-300000000000000000000-6-63333000000000000000000000000000000000000000000000000000000000000
χ1026666-366-6-6-3-3-300000000-633-3-3330000000000000000000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1036666-366-6-6-3-3-300000000-633-3-33300000000000000000000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1046666-3-6-666-3-3-300000000-6-3-33333000000000000000000006-6-3-333000000000000000000000000000000000000000000000000000000000000
χ1056666-3-6-666-3-3-300000000-6-3-3333300000000000000000000-6633-3-3000000000000000000000000000000000000000000000000000000000000
χ1066666-3-6-6-6-6-3-3-30000000063333-3-30000000000000000000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1076666-3-6-6-6-6-3-3-30000000063333-3-300000000000000000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1081212-12-12-6000066-6000000000000063−6300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1091212-12-12-6000066-60000000000000−636300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-1212-12-60012-12-666000000000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11112-1212-12-600-1212-6660000000006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11212-12-1212-612i−12i006-6600000000000−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11312-12-1212-6−12i12i006-66000000000006i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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