Finite Group Databasebeta

← Group #11787549

Character table — Group #11787549

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121222224444888888882424242424242424242424242424242444446666121212124422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1
χ10111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−iiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii−ii-11
χ11111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i−ii-11
χ12111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiii−i1-1
χ13111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1ii−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−ii−i-11
χ14111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1
χ15111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−ii1-1
χ16111-11-1-1-1111-11-111-1-111-1-1-111-1-1-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111−i−iiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iiii−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ20222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ21222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ22222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2322222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ2422222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ2522222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ2622222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ27222-22-2-2-222-22-2222-2-222-2-2-222-2-2-2222-2-2-22-2-2-2-2222-220000000000-2-22200000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ28222-22-2-2-222-22-2222-2-222-2-2-222-2-2-2222-2-2-22-2-2-2-2222-220000000000-2-2220000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ29222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-11100000000
χ30222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-2-2220000−2i−2i2i2i0000iiii−i−i−i−i00000000000011-1-100000000
χ31222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1-1-1111-112-1-1-2-2121−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i22-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-11100000000
χ32222-22-2-2-22-12-22-222-2-2-1-11112-1-21-2-1-1-1111-112-1-1-2-2121−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii00000000000011-1-100000000
χ33222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i000022-2-200000000-1-1-1-1111100000000−i−iii0000
χ34222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i0000-2-222000000001111-1-1-1-100000000ii−i−i0000
χ35222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1-1-1111-11-12211-2-1-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i0000-2-222000000001111-1-1-1-100000000−i−iii0000
χ36222-22-2-2-2-122-22-2-1-11122-2-2-2-121-21-1-1-1111-11-12211-2-1-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i000022-2-200000000-1-1-1-1111100000000ii−i−i0000
χ3722-22-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−i2i2−i2i22−22−2−i2−i2i2i2−i2−i2i2i222−2−222−2−22i−2i2i−2i000000000000
χ3822-22-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000−i2i2−i2i2−22−22−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2i2i−2i2i000000000000
χ3922-22-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000i2−i2i2−i22−22−2i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2i2i−2i2i000000000000
χ4022-22-2-22-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000000000000000000000000000000000i2−i2i2−i2−22−22i2i2−i2−i2i2i2−i2−i2−2−222−2−2222i−2i2i−2i000000000000
χ4122-2-2-22-222200002-2-2-22-2-2-22-2-222222-2-2-22-22000000000000000000000000000000000000002−2−222−2−2222−2−2−2−22222−2−2−2−222-222-2000000000000
χ4222-2-2-22-222200002-2-2-22-2-2-22-2-222222-2-2-22-22000000000000000000000000000000000000002−2−22−222−222−2−2−2−222−2−22222−2−22-2-22000000000000
χ4322-2-2-22-222200002-2-2-22-2-2-22-2-222222-2-2-22-2200000000000000000000000000000000000000−222−22−2−22−2−22222−2−222−2−2−2−2222-2-22000000000000
χ4422-2-2-22-222200002-2-2-22-2-2-22-2-222222-2-2-22-2200000000000000000000000000000000000000−222−2−222−2−2−22222−2−2−2−22222−2−2-222-2000000000000
χ452-2-2222-2-22222-2-2-2-22-2-2-22-2-22222-22-2-22-2-22222-22-22-2-200000000002-22-20000000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i0000
χ462-2-2222-2-22222-2-2-2-22-2-2-22-2-22222-22-2-22-2-22222-22-22-2-200000000002-22-2000000000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i0000
χ472-2-2222-2-222-2-222-2-22-2-2-22-2-22222-22-2-22-2-222-2-22-22-2220000000000-22-22000000002-22-2000000000000000000000000000000002-22-200000000
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χ492-2-2222-2-22-1-2-222-2-22-211-1112-12-1-2-111-111-1-1-21-1-2212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i32-22-2000000000000−i3i3−i3i3−i3i3−i3i3000000000000-11-1100000000
χ502-2-2222-2-22-1-2-222-2-22-211-1112-12-1-2-111-111-1-1-21-1-2212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i3-22-22000000000000i3−i3i3−i3i3−i3i3−i30000000000001-11-100000000
χ512-2-2222-2-22-1-2-222-2-22-211-1112-12-1-2-111-111-1-1-21-1-2212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i32-22-2000000000000i3−i3i3−i3i3−i3i3−i3000000000000-11-1100000000
χ522-2-2222-2-22-1-2-222-2-22-211-1112-12-1-2-111-111-1-1-21-1-2212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i3-22-22000000000000−i3i3−i3i3−i3i3−i3i30000000000001-11-100000000
χ532-2-2222-2-2-1222-2-211-11-2-22-2-2-12-121-111-111-1-1-12-2-1121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000000000003−33−33−33−300000000−ii−ii0000
χ542-2-2222-2-2-1222-2-211-11-2-22-2-2-12-121-111-111-1-1-12-2-1121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i0000000000000000−33−33−33−3300000000i−ii−i0000
χ552-2-2222-2-2-1222-2-211-11-2-22-2-2-12-121-111-111-1-1-12-2-1121-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i0000000000000000−33−33−33−3300000000−ii−ii0000
χ562-2-2222-2-2-1222-2-211-11-2-22-2-2-12-121-111-111-1-1-12-2-1121-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000000000003−33−33−33−300000000i−ii−i0000
χ572-2-2-22-222222-2-22-2-2-22-2-2-22222-2-222-2-2-2222-222-2-22-2-2200000000002-2-220000000000002-2-22000000000000000000000000000000002-2-220000
χ582-2-2-22-222222-2-22-2-2-22-2-2-22222-2-222-2-2-2222-222-2-22-2-2200000000002-2-22000000000000-222-200000000000000000000000000000000-222-20000
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χ612-2-2-22-2222-1-222-2-2-2-22111-1-12-1-212-1111-1-1-11-21-12-2-12100003−300−331-1-1133−3−3−3−3332-2-220000000000003−33−3−33−33000000000000-111-100000000
χ622-2-2-22-2222-1-222-2-2-2-22111-1-12-1-212-1111-1-1-11-21-12-2-12100003−300−331-1-1133−3−3−3−333-222-2000000000000−33−333−33−30000000000001-1-1100000000
χ632-2-2-22-2222-1-222-2-2-2-22111-1-12-1-212-1111-1-1-11-21-12-2-1210000−33003−31-1-11−3−33333−3−32-2-22000000000000−33−333−33−3000000000000-111-100000000
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χ652-2-2-22-222-122-2-22111-1-2-2-222-121-2-1-1111-1-1-11-12-21-1-212003−300−3300-111-13−33−3−33−3300002-2-220000000000000000−33−333−33−300000000-111-10000
χ662-2-2-22-222-122-2-22111-1-2-2-222-121-2-1-1111-1-1-11-12-21-1-212003−300−3300-111-13−33−3−33−330000-222-200000000000000003−33−3−33−33000000001-1-110000
χ672-2-2-22-222-122-2-22111-1-2-2-222-121-2-1-1111-1-1-11-12-21-1-21200−33003−300-111-1−33−333−33−300002-2-2200000000000000003−33−3−33−3300000000-111-10000
χ682-2-2-22-222-122-2-22111-1-2-2-222-121-2-1-1111-1-1-11-12-21-1-21200−33003−300-111-1−33−333−33−30000-222-20000000000000000−33−333−33−3000000001-1-110000
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χ7144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000000000
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χ78444-44-4-4-4-2-24-44-4-2-222-2-2222-2-2222111-1-1-11-1-2-2-2222-22−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ79444-44-4-4-4-2-2-44-44-2-222-2-2222-2-2222111-1-1-11-1222-2-2-22-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ80444-44-4-4-4-2-2-44-44-2-222-2-2222-2-2222111-1-1-11-1222-2-2-22-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
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χ8344-44-4-44-4-240000-22-2-24-444-42-42-42-2-22-2-222200000000000000000000000000000000000000000022−2222−2200000000−2−222−2−2220000000000000000
χ8444-44-4-44-4-240000-22-2-24-444-42-42-42-2-22-2-2222000000000000000000000000000000000000000000−2222−22220000000022−2−222−2−20000000000000000
χ8544-4-4-44-444-200004-4-4-4-2222-2-424-24-2-2222-22-20000000000000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000
χ8644-4-4-44-444-200004-4-4-4-2222-2-424-24-2-2222-22-200000000000000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000
χ8744-4-4-44-44-240000-22224-4-4-442-4-24-2-2-2222-22-200000000000000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000
χ8844-4-4-44-44-240000-22224-4-4-442-4-24-2-2-2222-22-2000000000000000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000
χ894-444-4-4-44440000-444-4-444-44-4-4-4-444-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-444-4-4-444-20000-444-42-2-22-2-42-424-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000000000
χ914-444-4-4-444-20000-444-42-2-22-2-42-424-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000000000
χ924-444-4-4-44-2400002-2-22-444-442-42-4-2-22-2-22-2220000000000000000000000000000000000000000000000000000006−6−666−6−660000000000000000
χ934-444-4-4-44-2400002-2-22-444-442-42-4-2-22-2-22-222000000000000000000000000000000000000000000000000000000−666−6−666−60000000000000000
χ944-44-4-444-4440000-44-44-44-44-4-4-444-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-444-44-20000-44-442-22-22-424-2-4-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ964-44-4-444-44-20000-44-442-22-22-424-2-4-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ974-44-4-444-4-2400002-22-2-44-44-42-4-242-22-22-222-20000000000000000000000000000000000000000000000000000006−6−66−666−60000000000000000
χ984-44-4-444-4-2400002-22-2-44-44-42-4-242-22-22-222-2000000000000000000000000000000000000000000000000000000−666−66−6−660000000000000000
χ994-4-4444-4-44-244-4-4-4-44-422-2224-24-2-4-222-222-2-24-224-4-2-420000000000-22-2200000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-4-24-4-44422-22-4-44-4-4-24-242-222-222-2-22-442-2-4-2400000000002-22-200000000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-4-2-244-4-422-2222-222-2-2-2-221-1-11-1-111-2-22-22-22200−2i32i300−2i32i3001-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-2-244-4-422-2222-222-2-2-2-221-1-11-1-111-2-22-22-222002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1034-4-4444-4-4-2-2-4-44422-2222-222-2-2-2-221-1-11-1-11122-22-22-2-20000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-2-2-4-44422-2222-222-2-2-2-221-1-11-1-11122-22-22-2-200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1054-4-4-44-4444-24-4-44-4-4-44222-2-24-2-424-2222-2-2-224-22-442-4-20000000000-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-24-444-4222-2-4-4-444-242-4-2-2222-2-2-222-44-224-2-400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-44222-2222-2-2-2-222-21-1-1-1111-1-2-222-222-20023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-44222-2222-2-2-2-222-21-1-1-1111-1-2-222-222-200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-4222-2222-2-2-2-222-21-1-1-1111-122-2-22-2-22000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-4222-2222-2-2-2-222-21-1-1-1111-122-2-22-2-220000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000000000
χ11188-88-8-88-8-4-40000-44-4-4-44-4-444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-4-40000-4444-4444-444-4-4-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-4-444-4-44-44444-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8-4-400004-44-44-44-4444-4-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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