Finite Group Databasebeta

← Group #13173408

Character table — Group #13173408

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818181818181818181818108108108108108108108108
order1222223444466666661212121212121212333333666666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222222444466666666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-1111-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1111-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1111-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1111-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-11-1-11111-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-11-1-11111-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-11-1-11111-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-11-1-11111-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111111111111100000000
χ19222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ20222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ212222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111112222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000
χ222222-2-2-122-2-2-1-11111-1-1-1-1-1111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-100000000
χ232222-2-2-1-2-222-1-11111-11111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-1-1-1-111111111-1-1-1-100000000
χ242222-2-2-1-2-222-1-11111-11111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-2-2-2-2-2-2-2-2111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000
χ2522-2-2002002i−2i2-20000-200002i2i−2i−2i22222222-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-20000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i22-2-200002i−2i22-2-2000000002i2i−2i−2i00000000
χ2622-2-2002002i−2i2-20000-200002i2i−2i−2i22222222-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-20000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2220000−2i2i-2-22200000000−2i−2i2i2i00000000
χ2722-2-200200−2i2i2-20000-20000−2i−2i2i2i22222222-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i22-2-20000−2i2i22-2-200000000−2i−2i2i2i00000000
χ2822-2-200200−2i2i2-20000-20000−2i−2i2i2i22222222-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-22200002i−2i-2-222000000002i2i−2i−2i00000000
χ2922-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii22-1-1-1-122-2-2-1-1-1-1111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211110000000033333333−3−3−3−3−3−3−3−32i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii22-2-200002i−2i-1-111−i3−i3i3i333−3−3−i−iii00000000
χ3022-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii22-1-1-1-122-2-2-1-1-1-1111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211110000000033333333−3−3−3−3−3−3−3−32i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-2-2220000−2i2i11-1-1i3i3−i3−i3−3−333ii−i−i00000000
χ3122-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii22-1-1-1-122-2-2-1-1-1-1111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2111100000000−3−3−3−3−3−3−3−3333333332i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii22-2-200002i−2i-1-111i3i3−i3−i3−3−333−i−iii00000000
χ3222-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii22-1-1-1-122-2-2-1-1-1-1111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2111100000000−3−3−3−3−3−3−3−3333333332i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-2-2220000−2i2i11-1-1−i3−i3i3i333−3−3ii−i−i00000000
χ3322-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i22-1-1-1-122-2-2-1-1-1-1111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2111100000000−3−3−3−3−3−3−3−333333333−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i22-2-20000−2i2i-1-111−i3−i3i3i3−3−333ii−i−i00000000
χ3422-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i22-1-1-1-122-2-2-1-1-1-1111100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2111100000000−3−3−3−3−3−3−3−333333333−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-2-22200002i−2i11-1-1i3i3−i3−i333−3−3−i−iii00000000
χ3522-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i22-1-1-1-122-2-2-1-1-1-1111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211110000000033333333−3−3−3−3−3−3−3−3−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i22-2-20000−2i2i-1-111i3i3−i3−i333−3−3ii−i−i00000000
χ3622-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i22-1-1-1-122-2-2-1-1-1-1111100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211110000000033333333−3−3−3−3−3−3−3−3−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-2-22200002i−2i11-1-1−i3−i3i3i3−3−333−i−iii00000000
χ372-22-20022i−2i00-220000-22i−2i2i−2i0000222222-2-222-2-2-2-22222000000000000000000000000-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22-2002i−2i002-22-200002i−2i2i−2i000000000000
χ382-22-20022i−2i00-220000-22i−2i2i−2i0000222222-2-222-2-2-2-22222000000000000000000000000-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000-22-2200−2i2i00-22-220000−2i2i−2i2i000000000000
χ392-22-2002−2i2i00-220000-2−2i2i−2i2i0000222222-2-222-2-2-2-22222000000000000000000000000-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-22-200−2i2i002-22-20000−2i2i−2i2i000000000000
χ402-22-2002−2i2i00-220000-2−2i2i−2i2i0000222222-2-222-2-2-2-22222000000000000000000000000-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22-22002i−2i00-22-2200002i−2i2i−2i000000000000
χ412-22-200-12i−2i001-1−i3i3−i3i31−ii−ii3−33−322-1-1-1-1-2-2221111-1-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-211112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000003333−3−3−3−33333−3−3−3−32-22-2002i−2i00-11-11−i3i3−i3i3−ii−ii3−33−300000000
χ422-22-200-12i−2i001-1−i3i3−i3i31−ii−ii3−33−322-1-1-1-1-2-2221111-1-1-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-211112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000003333−3−3−3−33333−3−3−3−3-22-2200−2i2i001-11-1i3−i3i3−i3i−ii−i−33−3300000000
χ432-22-200-12i−2i001-1i3−i3i3−i31−ii−ii−33−3322-1-1-1-1-2-2221111-1-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-211112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000−3−3−3−33333−3−3−3−333332-22-2002i−2i00-11-11i3−i3i3−i3−ii−ii−33−3300000000
χ442-22-200-12i−2i001-1i3−i3i3−i31−ii−ii−33−3322-1-1-1-1-2-2221111-1-1-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-211112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000−3−3−3−33333−3−3−3−33333-22-2200−2i2i001-11-1−i3i3−i3i3i−ii−i3−33−300000000
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χ1474-4-44-4440000-4-4-444-4400000000-21-2-2112-12-122-1-122-1-122-1-1-2-21122-1-1-2-211-2-21122-1-1-21-2-211003-300-33003-300-3300-33003-300-33003-300-33003-3003-300-330000000000000000000000000000000000
χ1484-4-44-4440000-4-4-444-4400000000-21-2-2112-12-122-1-122-1-122-1-1-2-21122-1-1-2-211-2-21122-1-1-21-2-21100-33003-300-33003-3003-300-33003-300-33003-300-3300-33003-30000000000000000000000000000000000
χ1494-4-44-44-20000222-2-22-2−2i32i32i3−2i32i3−2i3−2i32i31-2−1−3i32−1+3i3211-12-121+3i321−3i32-1-11+3i321−3i32-1-1-1-12211-2-21+3i321−3i32-1-1−1−3i32−1+3i3211−1−3i32−1+3i32111+3i321−3i32-1-11-2−1−3i32−1+3i32113-300-3300−3−i323−i32i3i33+i32−3+i32−i3−i33+i32−3+i32−i3−i3−3−i323−i32i3i3-33003-3003+i32−3+i32−i3−i3−3−i323−i32i3i3−3−i323−i32i3i33+i32−3+i32−i3−i30000000000000000000000000000000000
χ1504-4-44-44-20000222-2-22-2−2i32i32i3−2i32i3−2i3−2i32i31-2−1+3i32−1−3i3211-12-121−3i321+3i32-1-11−3i321+3i32-1-1-1-12211-2-21−3i321+3i32-1-1−1+3i32−1−3i3211−1+3i32−1−3i32111−3i321+3i32-1-11-2−1+3i32−1−3i3211-33003-3003−i32−3−i32i3i3−3+i323+i32−i3−i3−3+i323+i32−i3−i33−i32−3−i32i3i33-300-3300−3+i323+i32−i3−i33−i32−3−i32i3i33−i32−3−i32i3i3−3+i323+i32−i3−i30000000000000000000000000000000000
χ1514-4-44-44-20000222-2-22-2−2i32i32i3−2i32i3−2i3−2i32i3-2111−1−3i32−1+3i322-12-1-1-11+3i321−3i32-1-11+3i321−3i3222-1-1-2-211-1-11+3i321−3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-1-11+3i321−3i32-2111−1−3i32−1+3i32003-300-33i3i3−3−i323−i32−i3−i33+i32−3+i32−i3−i33+i32−3+i32i3i3−3−i323−i3200-33003-3−i3−i33+i32−3+i32i3i3−3−i323−i32i3i3−3−i323−i32−i3−i33+i32−3+i320000000000000000000000000000000000
χ1524-4-44-44-20000222-2-22-2−2i32i32i3−2i32i3−2i3−2i32i3-2111−1+3i32−1−3i322-12-1-1-11−3i321+3i32-1-11−3i321+3i3222-1-1-2-211-1-11−3i321+3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-1-11−3i321+3i32-2111−1+3i32−1−3i3200-33003-3i3i33−i32−3−i32−i3−i3−3+i323+i32−i3−i3−3+i323+i32i3i33−i32−3−i32003-300-33−i3−i3−3+i323+i32i3i33−i32−3−i32i3i33−i32−3−i32−i3−i3−3+i323+i320000000000000000000000000000000000
χ1534-4-44-44-20000222-2-22-22i3−2i3−2i32i3−2i32i32i3−2i31-2−1−3i32−1+3i3211-12-121+3i321−3i32-1-11+3i321−3i32-1-1-1-12211-2-21+3i321−3i32-1-1−1−3i32−1+3i3211−1−3i32−1+3i32111+3i321−3i32-1-11-2−1−3i32−1+3i3211-33003-3003+i32−3+i32−i3−i3−3−i323−i32i3i3−3−i323−i32i3i33+i32−3+i32−i3−i33-300-3300−3−i323−i32i3i33+i32−3+i32−i3−i33+i32−3+i32−i3−i3−3−i323−i32i3i30000000000000000000000000000000000
χ1544-4-44-44-20000222-2-22-22i3−2i3−2i32i3−2i32i32i3−2i31-2−1+3i32−1−3i3211-12-121−3i321+3i32-1-11−3i321+3i32-1-1-1-12211-2-21−3i321+3i32-1-1−1+3i32−1−3i3211−1+3i32−1−3i32111−3i321+3i32-1-11-2−1+3i32−1−3i32113-300-3300−3+i323+i32−i3−i33−i32−3−i32i3i33−i32−3−i32i3i3−3+i323+i32−i3−i3-33003-3003−i32−3−i32i3i3−3+i323+i32−i3−i3−3+i323+i32−i3−i33−i32−3−i32i3i30000000000000000000000000000000000
χ1554-4-44-44-20000222-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3-2111−1−3i32−1+3i322-12-1-1-11+3i321−3i32-1-11+3i321−3i3222-1-1-2-211-1-11+3i321−3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-1-11+3i321−3i32-2111−1−3i32−1+3i3200-33003-3−i3−i33+i32−3+i32i3i3−3−i323−i32i3i3−3−i323−i32−i3−i33+i32−3+i32003-300-33i3i3−3−i323−i32−i3−i33+i32−3+i32−i3−i33+i32−3+i32i3i3−3−i323−i320000000000000000000000000000000000
χ1564-4-44-44-20000222-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3-2111−1+3i32−1−3i322-12-1-1-11−3i321+3i32-1-11−3i321+3i3222-1-1-2-211-1-11−3i321+3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-1-11−3i321+3i32-2111−1+3i32−1−3i32003-300-33−i3−i3−3+i323+i32i3i33−i32−3−i32i3i33−i32−3−i32−i3−i3−3+i323+i3200-33003-3i3i33−i32−3−i32−i3−i3−3+i323+i32−i3−i3−3+i323+i32i3i33−i32−3−i320000000000000000000000000000000000

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