Finite Group Databasebeta

← Group #13156733

Character table — Group #13156733

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666664444444412121212121212121212121212121212366666664412121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ91-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ101-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i11-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ121-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii11-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ131-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i-1-11111-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ141-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii-1-11111-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ151-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i-1-111-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-11111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ161-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii-1-111-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-11111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-122222222-1-1-1-122-1-122-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ182222222222-122222222-1-1-1-122-1-122-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ192222222222-122222222-1-1-1-122-1-122-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ202222222222-122222222-1-1-1-122-1-122-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-2000000001111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ21222222222-1222-1-122-1-122222-1222-122-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-122-1-122-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ22222222222-1222-1-122-1-122222-1222-122-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-1-1-1-1-2-211-2-21100000000-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100
χ23222222222-1222-1-122-1-122222-1222-122-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1220000111122-1-122-1-10000000011111111-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ24222222222-1222-1-122-1-122222-1222-122-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-200001111-2-211-2-21100000000111111111111111100000000000000220000-1-1-1-100
χ2522222222-122-1-122-1-1222222-1222-122-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-10000-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ2622222222-122-1-122-1-1222222-1222-122-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-1000011-2-211-2-2-1-1-1-1-1-1-1-10000000011111111000000000000-2-2001111000000
χ2722222222-122-1-122-1-1222222-1222-122-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-12211110000-1-122-1-1221111111100000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ2822222222-122-1-122-1-1222222-1222-122-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-21111000011-2-211-2-21111111100000000111111110000000000002200-1-1-1-1000000
χ29222-2-22-2-22222-22-2222222-2-2-2-2-2-2-2-22-2-22222-2-22-22-222-222-2-222-2-2-2-2-200000000000000000000000022-2-222-2-20000000000000000000000000000000000000000002-22-222-2-222-2-200000000000000
χ30222-2-22-2-22222-22-2222222-2-2-2-2-2-2-2-22-2-22222-2-22-22-222-222-2-222-2-2-2-2-200000000000000000000000022-2-222-2-2000000000000000000000000000000000000000000-22-22-2-222-2-22200000000000000
χ31222-2-22-2-222-12-22-22222-1-111-2-211-2-2-1-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000000033−3−333−3−333−3−333−3−3-1-111-1-11100000000000000000033−3−333−3−333−3−333−3−3000000002-22-2-1-111-1-11100000000000000
χ32222-2-22-2-222-12-22-22222-1-111-2-211-2-2-1-2-22-1-12-2-2-11-1122-2-1-111-1-11111-20000000033−3−333−3−3−3−333−3−333-1-111-1-11100000000000000000033−3−333−3−3−3−333−3−33300000000-22-2211-1-111-1-100000000000000
χ33222-2-22-2-222-12-22-22222-1-111-2-211-2-2-1-2-22-1-12-2-2-11-1122-2-1-111-1-11111-200000000−3−333−3−33333−3−333−3−3-1-111-1-111000000000000000000−3−333−3−33333−3−333−3−300000000-22-2211-1-111-1-100000000000000
χ34222-2-22-2-222-12-22-22222-1-111-2-211-2-2-1-2-22-1-12-2-2-11-1122-2-1-111-1-11111-200000000−3−333−3−333−3−333−3−333-1-111-1-111000000000000000000−3−333−3−333−3−333−3−333000000002-22-2-1-111-1-11100000000000000
χ3522-22-2-22-2222-22-2-22-22-22-22-2-222-2-2-2-222222-22-2-22-2-22-222-22-22-22-2-22-22i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000002-22-22-22-2002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ3622-22-2-22-2222-22-2-22-22-22-22-2-222-2-2-2-222222-22-2-22-2-22-222-22-22-22-2-22-2−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i000000002-22-22-22-200−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ3722-22-2-22-222-1-22-2-22-22-2-11-11-22-11-2-21222-1-1-22-21-1112-22-11-11-11-111-1-22i−2i2i−2i0000−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i3-11-11-11-11002i−2i2i−2i000000000000−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i30000000000003−33−33−33−300000000000000
χ3822-22-2-22-222-1-22-2-22-22-2-11-11-22-11-2-21222-1-1-22-21-1112-22-11-11-11-111-1-22i−2i2i−2i0000−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3-11-11-11-11002i−2i2i−2i000000000000−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3000000000000−33−33−33−3300000000000000
χ3922-22-2-22-222-1-22-2-22-22-2-11-11-22-11-2-21222-1-1-22-21-1112-22-11-11-11-111-1-2−2i2i−2i2i0000i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3-11-11-11-1100−2i2i−2i2i000000000000i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3000000000000−33−33−33−3300000000000000
χ4022-22-2-22-222-1-22-2-22-22-2-11-11-22-11-2-21222-1-1-22-21-1112-22-11-11-11-111-1-2−2i2i−2i2i0000i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3-11-11-11-1100−2i2i−2i2i000000000000i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i30000000000003−33−33−33−300000000000000
χ4122-22-2-22-2-1221-1-2-2-112-22-22-2122-21-2-2-12-1-121-111-1-2-2-11-1-11-112-22-21212i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000-11-11-11-1100−ii−ii00003−3003−300−ii−ii−ii−ii0000000033−3−333−3−30000000000000000−i3i3−i3i3000000
χ4222-22-2-22-2-1221-1-2-2-112-22-22-2122-21-2-2-12-1-121-111-1-2-2-11-1-11-112-22-21212i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000-11-11-11-1100−ii−ii0000−3300−3300−ii−ii−ii−ii00000000−3−333−3−3330000000000000000i3−i3i3−i3000000
χ4322-22-2-22-2-1221-1-2-2-112-22-22-2122-21-2-2-12-1-121-111-1-2-2-11-1-11-112-22-2121−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000-11-11-11-1100i−ii−i00003−3003−300i−ii−ii−ii−i0000000033−3−333−3−30000000000000000i3−i3i3−i3000000
χ4422-22-2-22-2-1221-1-2-2-112-22-22-2122-21-2-2-12-1-121-111-1-2-2-11-1-11-112-22-2121−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000-11-11-11-1100i−ii−i0000−3300−3300i−ii−ii−ii−i00000000−3−333−3−3330000000000000000−i3i3−i3i3000000
χ4522-2-22-2-22222-2-2-222-22-22-2-222-2-2222-2-2-2222-2-22-2-2-222-2-22-2-222-2-222-2200002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-220000002i−2i2i−2i00000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ4622-2-22-2-22222-2-2-222-22-22-2-222-2-2222-2-2-2222-2-22-2-2-222-2-22-2-222-2-222-220000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000−2i2i−2i2i0000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ4722-2-22-2-2222-1-2-2-222-22-2-111-12-21-1221-2-22-1-1-2-22111-12-2-2-111-1-111-1-11200002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i-111-1-111-10000002i−2i2i−2i00000000−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i000000000000−333−3−333−300000000000000
χ4822-2-22-2-2222-1-2-2-222-22-2-111-12-21-1221-2-22-1-1-2-22111-12-2-2-111-1-111-1-11200002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−iii−i−iii−i-111-1-111-10000002i−2i2i−2i00000000i3−i3−i3i3i3−i3−i3i3−iii−i−iii−i0000000000003−3−333−3−3300000000000000
χ4922-2-22-2-2222-1-2-2-222-22-2-111-12-21-1221-2-22-1-1-2-22111-12-2-2-111-1-111-1-1120000−2i2i−2i2i−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii-111-1-111-1000000−2i2i−2i2i00000000−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii0000000000003−3−333−3−3300000000000000
χ5022-2-22-2-2222-1-2-2-222-22-2-111-12-21-1221-2-22-1-1-2-22111-12-2-2-111-1-111-1-1120000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−i−iii−i−ii-111-1-111-1000000−2i2i−2i2i00000000i3−i3−i3i3i3−i3−i3i3i−i−iii−i−ii000000000000−333−3−333−300000000000000
χ5122-2-22-2-222-12-2-21-12-2-112-2-2221-222-1-2-21-12-111-1-2-21-1-1112-2-22-111-121-100002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i-111-1-111-1000000−ii−ii00−i3i300−i3i300000000−iii−i−iii−i−i3i3−i3i3−i3i3−i3i3000000000000000000003−33−300
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χ11744-4-44-4-44-24-222-44-224-4-222-2-2-42-2-2422-4-21-222-2-1-12-2-2221-1-11-222-212-200000000−2i32i32i3−2i3−2i32i32i3−2i3000000001-1-111-1-11000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ11844-4-44-4-44-24-222-44-224-4-222-2-2-42-2-2422-4-21-222-2-1-12-2-2221-1-11-222-212-2000000002i3−2i3−2i32i32i3−2i3−2i32i3000000001-1-111-1-11000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ11944-4-44-4-44-2-24222-2-22-224-4-44-22-44-2-2-4221-2-2-1-11222-21-1-1-222-2-222-2-2210000000000000000000000001-1-111-1-11000000000000−2i32i300−2i32i30000000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ12044-4-44-4-44-2-24222-2-22-224-4-44-22-44-2-2-4221-2-2-1-11222-21-1-1-222-2-222-2-2210000000000000000000000001-1-111-1-110000000000002i3−2i3002i3−2i30000000000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ1214-444-4-4-444-24-4422-442-2-44-44-4-24-44-2-4-42-24-22-22-44222-22-44-442-22-2-4-2-2000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1224-444-4-4-444-2-2-4422-442-22-22-2-4-2-224-22-42-2-212-222-2-1-12-222-22-2-11-1121-20000000000000000−2i32i3−2i32i32i3−2i32i3−2i31-11-1-11-1100000000000000000000000000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ1234-444-4-4-444-2-2-4422-442-22-22-2-4-2-224-22-42-2-212-222-2-1-12-222-22-2-11-1121-200000000000000002i3−2i32i3−2i3−2i32i3−2i32i31-11-1-11-1100000000000000000000000000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ1244-444-4-4-44-24-22-2-4-42-2-442-22-224-22-2422-4-21-22-22-11222-22-11-112-22-2-1-2-24i−4i−4i4i0000−2i2i−2i2i2i−2i2i−2i000000001-11-1-11-1100−2i2i2i−2i000000000000i−ii−i−ii−ii000000000000000000000000000000000000000000
χ1254-444-4-4-44-24-22-2-4-42-2-442-22-224-22-2422-4-21-22-22-11222-22-11-112-22-2-1-2-2−4i4i4i−4i00002i−2i2i−2i−2i2i−2i2i000000001-11-1-11-11002i−2i−2i2i000000000000−ii−iii−ii−i000000000000000000000000000000000000000000
χ1264-444-4-4-44-2-242-2222-22-2-44-442-24-4-2-2-4221-2-2-11-12-222-11-12-22-22-22-22-210000000000000000000000001-11-1-11-110000000000−2i32i3002i3−2i3000000000000000000i3i3−i3−i3−i3−i3i3i300000000000000000000000000
χ1274-444-4-4-44-2-242-2222-22-2-44-442-24-4-2-2-4221-2-2-11-12-222-11-12-22-22-22-22-210000000000000000000000001-11-1-11-1100000000002i3−2i300−2i32i3000000000000000000−i3−i3i3i3i3i3−i3−i300000000000000000000000000
χ1284-44-44-44-44-2-2-4-42-2-442-22-2-22422-2-4224-2-2-2122-222-112-2-22-2-22-111-1-2-1200004i−4i−4i4i00000000−2i2i2i−2i2i−2i−2i2i1-1-11-111-1000000−2i2i2i−2i0000000000000000i−i−ii−iii−i0000000000000000000000000000000000
χ1294-44-44-44-44-2-2-4-42-2-442-22-2-22422-2-4224-2-2-2122-222-112-2-22-2-22-111-1-2-120000−4i4i4i−4i000000002i−2i−2i2i−2i2i2i−2i1-1-11-111-10000002i−2i−2i2i0000000000000000−iii−ii−i−ii0000000000000000000000000000000000
χ1304-44-44-44-4-24422-442-2-44-444-4-2-4-442-4-4-24-2-2422-222-442-2-22-2-22-444-4-2-42000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-44-44-4-24-222-442-2-442-2-22-2-42-22-42-24-21-222-2-1-12-22-2-2-111-12-2-2212200000000−2i32i32i3−2i32i3−2i3−2i32i3000000001-1-11-111-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1324-44-44-44-4-24-222-442-2-442-2-22-2-42-22-42-24-21-222-2-1-12-22-2-2-111-12-2-22122000000002i3−2i3−2i32i3−2i32i32i3−2i3000000001-1-11-111-1000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1334-44-44-44-4-2-24222-22-22-2-444-4-22-4422-4-2-21-2-2-1-11222-2-1112-2-222-2-22-22-10000000000000000000000001-1-11-111-100000000000023−2300−23230000000000000000−33−333−33−300000000000000000000000000
χ1344-44-44-44-4-2-24222-22-22-2-444-4-22-4422-4-2-21-2-2-1-11222-2-1112-2-222-2-22-22-10000000000000000000000001-1-11-111-1000000000000−23230023−2300000000000000003−33−3−33−3300000000000000000000000000
χ1354-4-4444-4-44-2-244-2-2-4-42222224-2-2-2-42-2-42-2-21-2-2-2-2-2112222222-1-1-1-1-212000044-4-400000000-2-2-2-222221111-1-1-1-1000000-2-22200000000000000001111-1-1-1-10000000000000000000000000000000000
χ1364-4-4444-4-44-2-244-2-2-4-42222224-2-2-2-42-2-42-2-21-2-2-2-2-2112222222-1-1-1-1-2120000-4-444000000002222-2-2-2-21111-1-1-1-100000022-2-20000000000000000-1-1-1-111110000000000000000000000000000000000
χ1374-4-4444-4-4-24-2-2-24422-4-42222-24-2-22-4-22-4-21-2-2-2-211-2-2222-1-1-1-122221-2244-4-40000-2-2-2-22222000000001111-1-1-1-100-2-2220000000000001111-1-1-1-1000000000000000000000000000000000000000000
χ1384-4-4444-4-4-24-2-2-24422-4-42222-24-2-22-4-22-4-21-2-2-2-211-2-2222-1-1-1-122221-22-4-44400002222-2-2-2-2000000001111-1-1-1-10022-2-2000000000000-1-1-1-11111000000000000000000000000000000000000000000
χ1394-4-4444-4-4-2-24-2-2-2-22222-4-4-4-4-2-244224221-2-2111-2-2-2-2-1-1-122222222-2-2-10000000000000000000000001111-1-1-1-14i−4i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000iiii−i−i−i−i00000000000000000000000000
χ1404-4-4444-4-4-2-24-2-2-2-22222-4-4-4-4-2-244224221-2-2111-2-2-2-2-1-1-122222222-2-2-10000000000000000000000001111-1-1-1-1−4i4i000000002i2i2i2i−2i−2i−2i−2i0000000000000000−i−i−i−iiiii00000000000000000000000000
χ1414-4-4-4-44444-244-4-22-4-422-4-444-42-4-44-244-2-24-2-2224-4-2222-2-4-44422-2-2-42-2000000000000000000000000-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4-44444-2-24-4-22-4-42222-2-2-42224-2-24-2-2-21-222-221-122-222-2-2-1-1112-1-200000000000000002323−23−23−23−23232311-1-1-1-11100000000000000000000000000−3−33333−3−30000000000000000000000000000000000
χ1434-4-4-4-44444-2-24-4-22-4-42222-2-2-42224-2-24-2-2-21-222-221-122-222-2-2-1-1112-1-20000000000000000−23−2323232323−23−2311-1-1-1-1110000000000000000000000000033−3−3−3−3330000000000000000000000000000000000
χ1444-4-4-4-4444-244-224-422-4-4-4-4442-4-4-4-244-24-2-24-222-224-422-222-2-2-4-4442-4-2000000000000000000000000-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000
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χ1464-4-4-4-4444-24-2-224-422-4-422-2-22-422-24-2-24-21-2-2221-1-2222-2-1-11122-2-2-12-200000000−23−2323232323−23−230000000011-1-1-1-11100000000000000000033−3−3−3−333000000000000000000000000000000000000000000
χ1474-4-4-4-4444-2-24-22-222222-4-44422-4-4-2-24-2-21-2-21-1-1-22-22-1-1122-2-222-2-222100000000000000000000000011-1-1-1-11100000000000000000000000000000000003-3-33-333-300000000000000000000000000
χ1484-4-4-4-4444-2-24-22-222222-4-44422-4-4-2-24-2-21-2-21-1-1-22-22-1-1122-2-222-2-222100000000000000000000000011-1-1-1-1110000000000000000000000000000000000-333-33-3-3300000000000000000000000000
χ14988888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000
χ150888-8-88-8-8-4-4-4-44-44-4-4-4-4-4-444444444-4442222-2-22-22-222-222-2-222-2-2-2-2-2000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-88-8-88-8-4-4-44-444-44-44-44-444-4-44444-4-4222-22-2-22-2-22-222-22-22-22-2-22-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-88-8-88-4-4-4444-4-44-44-444-4-444-4-4-4444222-2-22-2-2-222-2-22-2-222-2-222-22000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-888-8-8-88-4-4-44-4444-44-44-44-44-4-44-4-4444222-22-2-22-2-2-22-2-22-22-22-22-222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-88-88-8-4-4-4444-44-44-44-4-44-444-4444-4-4222-2-22-2-2-22-222-222-2-222-22-2-2000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-8888-8-8-4-4-4-4-4-4-444444444-4-4-4-444-4442222222222-2-2-2-2-2-2-2-2-2-2-222-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-8-8888-4-4-4-44-44444444-4-44444-4-4-4-4-42222-2-22-22-2-2-22-2-222-2-222-2-22000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).