Finite Group Databasebeta

← Group #13152246

Character table — Group #13152246

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11111111111133333333666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order1222336666669918181818181844441212121212121212363636363636363636363636363636363636363636363636444121212121212363636363636363636363636363636363636336666669999181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ4111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111−1+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−i32111111111−1+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−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
χ5111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111−1+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−i32111111111−1+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−i3211−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32
χ6111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111−1+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−i32111111111−1+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+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111−1−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+i32111111111−1−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+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
χ8111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111−1−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+i32111111111−1−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−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111−1−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+i32111111111−1−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+i3211−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32
χ1022-2-22222-2-2-2-2222-22-2-2-2002-2000022-2-2000000222-2-2-2000000222-2-2-2000000000000000000000000000-1-111-111-1-1-1-1-111-111-111-111-1
χ1122-2-22222-2-2-2-2222-22-2-2-2002-2000022-2-2000000222-2-2-2000000222-2-2-20000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ1222-2-22222-2-2-2-2222-22-2-2-2002-2000022-2-2000000222-2-2-2000000222-2-2-20000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ1322-2-22222-2-2-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3002-2000022-2-2000000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i3000000000000000000000000000-1-111-111-11−i321+i321−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ1422-2-22222-2-2-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3002-2000022-2-2000000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32-1-11−i32−1−i32−1−i321+i3211-111-1−1+i32−1+i321−i32
χ1522-2-22222-2-2-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3002-2000022-2-2000000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-11−i321+i32-111-1−1+i32−1+i321−i32−1−i32−1−i321+i3211-1
χ1622-2-22222-2-2-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3002-2000022-2-2000000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i3000000000000000000000000000-1-111-111-11+i321−i321+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ1722-2-22222-2-2-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3002-2000022-2-2000000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32-11+i321−i32-111-1−1−i32−1−i321+i32−1+i32−1+i321−i3211-1
χ1822-2-22222-2-2-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3002-2000022-2-2000000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32-1-11+i32−1+i32−1+i321−i3211-111-1−1−i32−1−i321+i32
χ192-22-222-2-222-2-222-22-22-2-22-20022-2-20000222-2-2-2000000222-2-2-2000000000000000000000000000000000-1-11-111-11-1-1-1-11-111-111-111-11
χ202-22-222-2-222-2-222-22-22-2-22-20022-2-20000222-2-2-2000000222-2-2-20000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ212-22-222-2-222-2-222-22-22-2-22-20022-2-20000222-2-2-2000000222-2-2-20000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ222-22-222-2-222-2-2−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i32-20022-2-20000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i3000000000000000000000000000000000-1-11-111-111−i321+i321−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ232-22-222-2-222-2-2−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i32-20022-2-20000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32-1-11−i32−1−i321+i32−1−i321-111-11−1+i321−i32−1+i32
χ242-22-222-2-222-2-2−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i32-20022-2-20000−1+i3−1+i3−1+i31−i31−i31−i3000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11−i321+i32-11-11−1+i321−i32−1+i32−1−i321+i32−1−i321-11
χ252-22-222-2-222-2-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i32-20022-2-20000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i3000000000000000000000000000000000-1-11-111-111+i321−i321+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ262-22-222-2-222-2-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i32-20022-2-20000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11+i321−i32-11-11−1−i321+i32−1−i32−1+i321−i32−1+i321-11
χ272-22-222-2-222-2-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i32-20022-2-20000−1−i3−1−i3−1−i31+i31+i31+i3000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32-1-11+i32−1+i321−i32−1+i321-111-11−1−i321+i32−1−i32
χ283333333333333333333333-1-13333-1-1-1-1333333-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2933333333333333333333-1-133-1-1-1-13333-1-1-1-1-1-1333333-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3033333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-133-1-1-1-1333-1-1-1-1-1-1333-1-1-1-1-1-1000000000000000000000000
χ3133333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-133-1-1-1-1-1333-1-1-1-1-1-1333-1-1-1000000000000000000000000
χ3233333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-1-133-1-1-1-1-1-1333-1-1-1-1-1-1333000000000000000000000000
χ33333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233-1-13333-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ34333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-133-1-1-1-133331−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ35333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i323-1-133-1-1-1-1−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ36333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-13-1-1-133-1-11−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i321−i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i321+i32000000000000000000000000
χ37333333333333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-13-1-1-1-1331−i321−i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32000000000000000000000000
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χ8566-6-66666-6-6-6-6−3+3i3−3−3i3−3+3i33−3i3−3−3i33+3i33−3i33+3i300-220000-2-2220000001−i31−i31−i3−1+i3−1+i3−1+i30000001+i31+i31+i3−1−i3−1−i3−1−i3000000000000000000000000000000000000000000000000000
χ8666-6-66666-6-6-6-6−3−3i3−3+3i3−3−3i33+3i3−3+3i33−3i33+3i33−3i300-220000-2-2220000001+i31+i31+i3−1−i3−1−i3−1−i30000001−i31−i31−i3−1+i3−1+i3−1+i3000000000000000000000000000000000000000000000000000
χ8766-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i300000000006-60000−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ8866-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000-2200001−i31+i3−1+i3−1−i30000004ζ4ζ44ζ7−4ζ−4ζ4−4ζ70000004ζ24ζ54ζ8−4ζ2−4ζ5−4ζ8000000000000000000000000000000000000000000000000000
χ8966-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000-2200001−i31+i3−1+i3−1−i30000004ζ44ζ74ζ−4ζ4−4ζ7−4ζ0000004ζ84ζ24ζ5−4ζ8−4ζ2−4ζ5000000000000000000000000000000000000000000000000000
χ9066-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000-2200001−i31+i3−1+i3−1−i30000004ζ74ζ4ζ4−4ζ7−4ζ−4ζ40000004ζ54ζ84ζ2−4ζ5−4ζ8−4ζ2000000000000000000000000000000000000000000000000000
χ9166-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i300000000006-60000−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9266-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000-2200001+i31−i3−1−i3−1+i30000004ζ24ζ84ζ5−4ζ2−4ζ8−4ζ50000004ζ44ζ4ζ7−4ζ4−4ζ−4ζ7000000000000000000000000000000000000000000000000000
χ9366-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000-2200001+i31−i3−1−i3−1+i30000004ζ54ζ24ζ8−4ζ5−4ζ2−4ζ80000004ζ4ζ74ζ4−4ζ−4ζ7−4ζ4000000000000000000000000000000000000000000000000000
χ9466-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000-2200001+i31−i3−1−i3−1+i30000004ζ84ζ54ζ2−4ζ8−4ζ5−4ζ20000004ζ74ζ44ζ−4ζ7−4ζ4−4ζ000000000000000000000000000000000000000000000000000
χ956-66-666-6-666-6-666-66-66-6-6-2200-2-2220000-2-2-2222000000-2-2-2222000000000000000000000000000000000000000000000000000000000
χ966-66-666-6-666-6-6−3+3i3−3−3i33−3i3−3+3i33+3i3−3−3i33−3i33+3i3-2200-2-22200001−i31−i31−i3−1+i3−1+i3−1+i30000001+i31+i31+i3−1−i3−1−i3−1−i3000000000000000000000000000000000000000000000000000000000
χ976-66-666-6-666-6-6−3−3i3−3+3i33+3i3−3−3i33−3i3−3+3i33+3i33−3i3-2200-2-22200001+i31+i31+i3−1−i3−1−i3−1−i30000001−i31−i31−i3−1+i3−1+i3−1+i3000000000000000000000000000000000000000000000000000000000
χ986-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000006-600−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ996-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000-22001−i31+i3−1+i3−1−i300004ζ4ζ44ζ7−4ζ−4ζ4−4ζ70000004ζ24ζ54ζ8−4ζ2−4ζ5−4ζ8000000000000000000000000000000000000000000000000000000000
χ1006-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000-22001−i31+i3−1+i3−1−i300004ζ44ζ74ζ−4ζ4−4ζ7−4ζ0000004ζ84ζ24ζ5−4ζ8−4ζ2−4ζ5000000000000000000000000000000000000000000000000000000000
χ1016-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000-22001−i31+i3−1+i3−1−i300004ζ74ζ4ζ4−4ζ7−4ζ−4ζ40000004ζ54ζ84ζ2−4ζ5−4ζ8−4ζ2000000000000000000000000000000000000000000000000000000000
χ1026-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000006-600−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1036-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000-22001+i31−i3−1−i3−1+i300004ζ24ζ84ζ5−4ζ2−4ζ8−4ζ50000004ζ44ζ4ζ7−4ζ4−4ζ−4ζ7000000000000000000000000000000000000000000000000000000000
χ1046-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000-22001+i31−i3−1−i3−1+i300004ζ54ζ24ζ8−4ζ5−4ζ2−4ζ80000004ζ4ζ74ζ4−4ζ−4ζ7−4ζ4000000000000000000000000000000000000000000000000000000000
χ1056-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000-22001+i31−i3−1−i3−1+i300004ζ84ζ54ζ2−4ζ8−4ζ5−4ζ20000004ζ74ζ44ζ−4ζ7−4ζ4−4ζ000000000000000000000000000000000000000000000000000000000
χ10612-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10712-12-1212−6−6i3−6+6i36+6i36−6i36+6i36−6i3−6−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.