Finite Group Databasebeta

← Group #13144350

Character table — Group #13144350

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111111111111122222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order122222223366666666666666444412121212121212124444121212121212121233336666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ91-1-11-111-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i
χ101-1-11-111-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iii
χ111-1-11-111-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii
χ121-1-11-111-111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i
χ131-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii
χ141-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i
χ151-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i
χ161-1-11-111-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii
χ172222222222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ19222222222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ20222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ21222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000
χ22222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000000000000000
χ23222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000000000000000
χ24222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000
χ25222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000000000000000000
χ27222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000000000000000000
χ28222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000000000000000
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χ5122-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000022222-22-22-22-22-2-22-2-22-2-22-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000
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χ13244-4-4-4-4444444-4-4-4-4-4-4-4-44444000000000000000000000000-2-2-242-22-22-2-44-22-2-22-2-22-24-44222-4222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-44-44-444-4-444-4-444-4-444-4-40000000000000000000000004-2-2-2-442-22-22-2-44-42-222-222-22-42224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-44-44-444-4-444-4-444-4-444-4-4000000000000000000000000-24-2-22-2-442-22-22-22-44-42-222-222-422-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-44-44-444-4-444-4-444-4-444-4-4000000000000000000000000-2-24-22-22-2-442-22-222-22-44-42-2222-42-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-44-44-44-444-4-444-4-444-4-444-4-4000000000000000000000000-2-2-242-22-22-2-442-222-222-22-44-4222-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-44-4-44-4444-4-444-4-4-4-444-4-4440000000000000000000000004-2-2-24-4-22-22-22-4442-2-22-2-22-2-2-4222-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-24-2-2-224-4-22-222-2-2-4442-2-22-2-22-4222-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-24-2-22-224-4-222-2-22-2-2-4442-2-222-4222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-2-24-22-22-224-42-2-22-2-22-2-2-444222-4222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416666-6-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i36-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1426666-6-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3-66-663+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1436666-6-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i36-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1446666-6-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3-66-663−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14566-6-666-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ7000000000000
χ14666-6-666-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ7000000000000
χ14766-6-666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ11000000000000
χ14866-6-666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ11000000000000
χ14966-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00002ζ112ζ7−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ700000000000000000000
χ15066-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ700000000000000000000
χ15166-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i00002ζ72ζ11−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ1100000000000000000000
χ15266-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ1100000000000000000000
χ1536-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00002ζ112ζ7−2ζ11−2ζ7−2ζ11−2ζ72ζ112ζ700000000000000000000
χ1546-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000−2ζ11−2ζ72ζ112ζ72ζ112ζ7−2ζ11−2ζ700000000000000000000
χ1556-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i00002ζ72ζ11−2ζ7−2ζ11−2ζ7−2ζ112ζ72ζ1100000000000000000000
χ1566-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000−2ζ7−2ζ112ζ72ζ112ζ72ζ11−2ζ7−2ζ1100000000000000000000
χ1576-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002ζ112ζ7−2ζ11−2ζ7−2ζ11−2ζ72ζ112ζ7000000000000
χ1586-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2ζ11−2ζ72ζ112ζ72ζ112ζ7−2ζ11−2ζ7000000000000
χ1596-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002ζ72ζ11−2ζ7−2ζ11−2ζ7−2ζ112ζ72ζ11000000000000
χ1606-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2ζ7−2ζ112ζ72ζ112ζ72ζ11−2ζ7−2ζ11000000000000
χ1616-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1626-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3-666-63+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1636-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1646-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3-666-63−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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