Finite Group Databasebeta

← Group #13172196

Character table — Group #13172196

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444444446666666666666688889999121212121212121212121212121212121212121218181818181818183636363654541111222222222222444444444444666666666666668888999912121212121212121212121212121212121212121818181818181818363636365454
order12223336666666663336666666664444441212121212121212366644441212121212121212121212121212121212121212224412121212661212222222666666666666666666666666444444121212121212121266664444121212121212121212121212121212121212121222441212121266121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111111111111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i1-1i−iii−i−i11-1-111-1-1ii−i−ii−i1-1i−ii−iii−i−i11-1-1ii−i−i1-1i−iii−i−i1-1i−i1-111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i1-1i−iii−i−i11-1-111-1-1ii−i−ii−i1-1i−ii−iii−i−i11-1-1ii−i−i1-1i−iii−i−i1-1i−i1-1
χ1011-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i1-1−iiii−i−i11-1-111-1-1ii−i−ii−i1-1−ii−iiii−i−i11-1-1−i−iii-11−iiii−i−i-11−ii-1111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i1-1−iiii−i−i11-1-111-1-1ii−i−ii−i1-1−ii−iiii−i−i11-1-1−i−iii-11−iiii−i−i-11−ii-11
χ1111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i-11i−iii−i−i-1-11111-1-1−i−iiii−i-11i−ii−iii−i−i-1-111ii−i−i1-1−ii−i−iii1-1−ii-1111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i-11i−iii−i−i-1-11111-1-1−i−iiii−i-11i−ii−iii−i−i-1-111ii−i−i1-1−ii−i−iii1-1−ii-11
χ1211-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i-11−iiii−i−i-1-11111-1-1−i−iiii−i-11−ii−iiii−i−i-1-111−i−iii-11i−i−i−iii-11i−i1-111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1i−i-11−iiii−i−i-1-11111-1-1−i−iiii−i-11−ii−iiii−i−i-1-111−i−iii-11i−i−i−iii-11i−i1-1
χ1311-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii1-1i−i−i−iii11-1-111-1-1−i−iii−ii1-1i−ii−i−i−iii11-1-1ii−i−i-11i−i−i−iii-11i−i-1111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii1-1i−i−i−iii11-1-111-1-1−i−iii−ii1-1i−ii−i−i−iii11-1-1ii−i−i-11i−i−i−iii-11i−i-11
χ1411-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii1-1−ii−i−iii11-1-111-1-1−i−iii−ii1-1−ii−ii−i−iii11-1-1−i−iii1-1−ii−i−iii1-1−ii1-111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii1-1−ii−i−iii11-1-111-1-1−i−iii−ii1-1−ii−ii−i−iii11-1-1−i−iii1-1−ii−i−iii1-1−ii1-1
χ1511-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii-11i−i−i−iii-1-11111-1-1ii−i−i−ii-11i−ii−i−i−iii-1-111ii−i−i-11−iiii−i−i-11−ii1-111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii-11i−i−i−iii-1-11111-1-1ii−i−i−ii-11i−ii−i−i−iii-1-111ii−i−i-11−iiii−i−i-11−ii1-1
χ1611-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii-11−ii−i−iii-1-11111-1-1ii−i−i−ii-11−ii−ii−i−iii-1-111−i−iii1-1i−iii−i−i1-1i−i-1111-1-1111-1111-1-1-1-1-111111-1-1-1-11-1-1−ii-11−ii−i−iii-1-11111-1-1ii−i−i−ii-11−ii−ii−i−iii-1-111−i−iii1-1i−iii−i−i1-1i−i-11
χ17222222-12-1222-1-1222-1-1-1-122-1-12-1-122002222220000-1-1-1-10000-1-100-1-122-1-1-1-10000-1-1-1-122000000-1-10000222222-12-1222-1-1222-1-1-1-122-1-12-1-122002222220000-1-1-1-10000-1-100-1-122-1-1-1-10000-1-1-1-122000000-1-10000
χ18222222-12-1222-1-1222-1-1-1-122-1-12-1-12200-2-222220000-1-1-1-10000-1-10011-2-2-1-1-1-100001111-2-2000000110000222222-12-1222-1-1222-1-1-1-122-1-12-1-12200-2-222220000-1-1-1-10000-1-10011-2-2-1-1-1-100001111-2-2000000110000
χ19222222-12-1222-1-1222-1-1-1-122-1-12-1-1-2-20022-2-2-2-20000-1-1-1-100001100-1-12211110000-1-1-1-1-2-2000000110000222222-12-1222-1-1222-1-1-1-122-1-12-1-1-2-20022-2-2-2-20000-1-1-1-100001100-1-12211110000-1-1-1-1-2-2000000110000
χ20222222-12-1222-1-1222-1-1-1-122-1-12-1-1-2-200-2-2-2-2-2-20000-1-1-1-10000110011-2-211110000111122000000-1-10000222222-12-1222-1-1222-1-1-1-122-1-12-1-1-2-200-2-2-2-2-2-20000-1-1-1-10000110011-2-211110000111122000000-1-10000
χ2122222-12222-1-122-12-12-12-1-1-12-1-12-1222200-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100000000-1-1-1-100000022222-12222-1-122-12-12-12-1-1-12-1-12-1222200-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ2222222-12222-1-122-12-12-12-1-1-12-1-12-122-2-200-1-1-1-11111-1-1-1-1-2-2-2-222-2-20000-1-1-1-1111100000000111100000022222-12222-1-122-12-12-12-1-1-12-1-12-122-2-200-1-1-1-11111-1-1-1-1-2-2-2-222-2-20000-1-1-1-11111000000001111000000
χ2322222-12222-1-122-12-12-12-1-1-12-1-12-1-2-222001111-1-1-1-1-1-1-1-1-2-2-2-2-2-22200001111-1-1-1-100000000111100000022222-12222-1-122-12-12-12-1-1-12-1-12-1-2-222001111-1-1-1-1-1-1-1-1-2-2-2-2-2-22200001111-1-1-1-1000000001111000000
χ2422222-12222-1-122-12-12-12-1-1-12-1-12-1-2-2-2-20011111111-1-1-1-12222-2-2-2-200001111111100000000-1-1-1-100000022222-12222-1-122-12-12-12-1-1-12-1-12-1-2-2-2-20011111111-1-1-1-12222-2-2-2-200001111111100000000-1-1-1-1000000
χ252222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-1000000-1-122-1-10000-1-1-1-1-1-1-1-10022000000-1-1002222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-1000000-1-122-1-10000-1-1-1-1-1-1-1-10022000000-1-100
χ262222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-200002222-1-1-1-1000000-1-1-2-2110000-1-1-1-1111100-2-200000011002222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-200002222-1-1-1-1000000-1-1-2-2110000-1-1-1-1111100-2-20000001100
χ272222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2220000-2-2-2-2-1-1-1-10000001122-1-100001111-1-1-1-100-2-200000011002222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2220000-2-2-2-2-1-1-1-10000001122-1-100001111-1-1-1-100-2-20000001100
χ282222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100000011-2-2110000111111110022000000-1-1002222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100000011-2-2110000111111110022000000-1-100
χ2922-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i002i−2i2i2i−2i−2i0000-1-1110000−ii00−ii2i−2i−i−iii0000−i−iii2-2000000-11000022-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i002i−2i2i2i−2i−2i0000-1-1110000−ii00−ii2i−2i−i−iii0000−i−iii2-2000000-110000
χ3022-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i00−2i2i2i2i−2i−2i0000-1-1110000−ii00i−i−2i2i−i−iii0000ii−i−i-220000001-1000022-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i00−2i2i2i2i−2i−2i0000-1-1110000−ii00i−i−2i2i−i−iii0000ii−i−i-220000001-10000
χ3122-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i002i−2i−2i−2i2i2i0000-1-1110000i−i00−ii2i−2iii−i−i0000−i−iii-220000001-1000022-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i002i−2i−2i−2i2i2i0000-1-1110000i−i00−ii2i−2iii−i−i0000−i−iii-220000001-10000
χ3222-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i00−2i2i−2i−2i2i2i0000-1-1110000i−i00i−i−2i2iii−i−i0000ii−i−i2-2000000-11000022-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i00−2i2i−2i−2i2i2i0000-1-1110000i−i00i−i−2i2iii−i−i0000ii−i−i2-2000000-110000
χ3322-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i2-200−i−iii-1-111-1-1112i2i−2i−2i2i−2i2-20000−i−iii-1-11100000000−i−iii00000022-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i2-200−i−iii-1-111-1-1112i2i−2i−2i2i−2i2-20000−i−iii-1-11100000000−i−iii000000
χ3422-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i-2200−i−iii11-1-1-1-111−2i−2i2i2i2i−2i-220000−i−iii11-1-100000000ii−i−i00000022-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i-2200−i−iii11-1-1-1-111−2i−2i2i2i2i−2i-220000−i−iii11-1-100000000ii−i−i000000
χ3522-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i2-200ii−i−i-1-111-1-111−2i−2i2i2i−2i2i2-20000ii−i−i-1-11100000000ii−i−i00000022-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i2-200ii−i−i-1-111-1-111−2i−2i2i2i−2i2i2-20000ii−i−i-1-11100000000ii−i−i000000
χ3622-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i-2200ii−i−i11-1-1-1-1112i2i−2i−2i−2i2i-220000ii−i−i11-1-100000000−i−iii00000022-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i-2200ii−i−i11-1-1-1-1112i2i−2i−2i−2i2i-220000ii−i−i11-1-100000000−i−iii000000
χ3722-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-22i−2i000022-2-2-1-111000000-112i−2i−ii0000-1-111−i−iii002i−2i000000−ii0022-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-22i−2i000022-2-2-1-111000000-112i−2i−ii0000-1-111−i−iii002i−2i000000−ii00
χ3822-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-2−2i2i000022-2-2-1-111000000-11−2i2ii−i0000-1-111ii−i−i00−2i2i000000i−i0022-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-2−2i2i000022-2-2-1-111000000-11−2i2ii−i0000-1-111ii−i−i00−2i2i000000i−i00
χ3922-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-222i−2i0000-2-222-1-1110000001-12i−2i−ii000011-1-1−i−iii00−2i2i000000i−i0022-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-222i−2i0000-2-222-1-1110000001-12i−2i−ii000011-1-1−i−iii00−2i2i000000i−i00
χ4022-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-22−2i2i0000-2-222-1-1110000001-1−2i2ii−i000011-1-1ii−i−i002i−2i000000−ii0022-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-22−2i2i0000-2-222-1-1110000001-1−2i2ii−i000011-1-1ii−i−i002i−2i000000−ii00
χ412-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i0000002-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i000000
χ422-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i0000002-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000
χ432-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00000000−i3i3−i3i33−33−300000000−ii−ii0000002-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00000000−i3i3−i3i33−33−300000000−ii−ii000000
χ442-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00000000−i3i3−i3i3−33−3300000000i−ii−i0000002-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00000000−i3i3−i3i3−33−3300000000i−ii−i000000
χ452-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00000000i3−i3i3−i33−33−300000000i−ii−i0000002-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00000000i3−i3i3−i33−33−300000000i−ii−i000000
χ462-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00000000i3−i3i3−i3−33−3300000000−ii−ii0000002-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00000000i3−i3i3−i3−33−3300000000−ii−ii000000
χ472-2-22222-2-2-2-2-2-2222222-2-2-22-22-22-2000000000000002-2-222-2-220000000000000000000000002-2-220000002-2-22222-2-2-2-2-2-2222222-2-2-22-22-22-2000000000000002-2-222-2-220000000000000000000000002-2-22000000
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χ1092222-122-12-122222-1-1-12-12-1-1-12-1-1200222200002222-1-1-1-1000000-1-122-1-10000-1-1-1-1-1-1-1-10022000000-1-100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-200-2-2-2-20000-2-2-2-2111100000011-2-21100001111111100-2-20000001100
χ1102222-122-12-122222-1-1-12-12-1-1-12-1-120022-2-200002222-1-1-1-1000000-1-1-2-2110000-1-1-1-1111100-2-20000001100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-200-2-2220000-2-2-2-211110000001122-1-100001111-1-1-1-10022000000-1-100
χ1112222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2220000-2-2-2-2-1-1-1-10000001122-1-100001111-1-1-1-100-2-20000001100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-20022-2-2000022221111000000-1-1-2-2110000-1-1-1-111110022000000-1-100
χ1122222-122-12-122222-1-1-12-12-1-1-12-1-1200-2-2-2-20000-2-2-2-2-1-1-1-100000011-2-2110000111111110022000000-1-100-2-2-2-21-2-21-21-2-2-2-2-2111-21-2111-211-2002222000022221111000000-1-122-1-10000-1-1-1-1-1-1-1-100-2-20000001100
χ11322-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i002i−2i2i2i−2i−2i0000-1-1110000−ii00−ii2i−2i−i−iii0000−i−iii2-2000000-110000-2-222-2-2121-2-22-1-122-2111122-1-1-2-1-1−2i2i00−2i2i−2i−2i2i2i000011-1-10000i−i00i−i−2i2iii−i−i0000ii−i−i-220000001-10000
χ11422-2-222-1-2-122-211-2-22-1-1-1-1-2-2112112i−2i00−2i2i2i2i−2i−2i0000-1-1110000−ii00i−i−2i2i−i−iii0000ii−i−i-220000001-10000-2-222-2-2121-2-22-1-122-2111122-1-1-2-1-1−2i2i002i−2i−2i−2i2i2i000011-1-10000i−i00−ii2i−2iii−i−i0000−i−iii2-2000000-110000
χ11522-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i002i−2i−2i−2i2i2i0000-1-1110000i−i00−ii2i−2iii−i−i0000−i−iii-220000001-10000-2-222-2-2121-2-22-1-122-2111122-1-1-2-1-12i−2i00−2i2i2i2i−2i−2i000011-1-10000−ii00i−i−2i2i−i−iii0000ii−i−i2-2000000-110000
χ11622-2-222-1-2-122-211-2-22-1-1-1-1-2-211211−2i2i00−2i2i−2i−2i2i2i0000-1-1110000i−i00i−i−2i2iii−i−i0000ii−i−i2-2000000-110000-2-222-2-2121-2-22-1-122-2111122-1-1-2-1-12i−2i002i−2i2i2i−2i−2i000011-1-10000−ii00−ii2i−2i−i−iii0000−i−iii-220000001-10000
χ11722-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i2-200−i−iii-1-111-1-1112i2i−2i−2i2i−2i2-20000−i−iii-1-11100000000−i−iii000000-2-222-21-22-2-21-122-121-21-21-1-12-112-1−2i2i-2200ii−i−i11-1-111-1-1−2i−2i2i2i−2i2i-220000ii−i−i11-1-100000000ii−i−i000000
χ11822-2-22-12-222-11-2-21-2-12-12-111-21-1-212i−2i-2200−i−iii11-1-1-1-111−2i−2i2i2i2i−2i-220000−i−iii11-1-100000000ii−i−i000000-2-222-21-22-2-21-122-121-21-21-1-12-112-1−2i2i2-200ii−i−i-1-11111-1-12i2i−2i−2i−2i2i2-20000ii−i−i-1-11100000000−i−iii000000
χ11922-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i2-200ii−i−i-1-111-1-111−2i−2i2i2i−2i2i2-20000ii−i−i-1-11100000000ii−i−i000000-2-222-21-22-2-21-122-121-21-21-1-12-112-12i−2i-2200−i−iii11-1-111-1-12i2i−2i−2i2i−2i-220000−i−iii11-1-100000000−i−iii000000
χ12022-2-22-12-222-11-2-21-2-12-12-111-21-1-21−2i2i-2200ii−i−i11-1-1-1-1112i2i−2i−2i−2i2i-220000ii−i−i11-1-100000000−i−iii000000-2-222-21-22-2-21-122-121-21-21-1-12-112-12i−2i2-200−i−iii-1-11111-1-1−2i−2i2i2i2i−2i2-20000−i−iii-1-11100000000ii−i−i000000
χ12122-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-22i−2i000022-2-2-1-111000000-112i−2i−ii0000-1-111−i−iii002i−2i000000−ii00-2-2221-2-2-1-21-22222-111-21-2-1-1-121-1200-22−2i2i0000-2-22211-1-10000001-1−2i2ii−i000011-1-1ii−i−i00−2i2i000000i−i00
χ12222-2-2-12212-12-2-2-2-21-1-12-12111-2-11-2002-2−2i2i000022-2-2-1-111000000-11−2i2ii−i0000-1-111ii−i−i00−2i2i000000i−i00-2-2221-2-2-1-21-22222-111-21-2-1-1-121-1200-222i−2i0000-2-22211-1-10000001-12i−2i−ii000011-1-1−i−iii002i−2i000000−ii00
χ12322-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-222i−2i0000-2-222-1-1110000001-12i−2i−ii000011-1-1−i−iii00−2i2i000000i−i00-2-2221-2-2-1-21-22222-111-21-2-1-1-121-12002-2−2i2i000022-2-211-1-1000000-11−2i2ii−i0000-1-111ii−i−i002i−2i000000−ii00
χ12422-2-2-12212-12-2-2-2-21-1-12-12111-2-11-200-22−2i2i0000-2-222-1-1110000001-1−2i2ii−i000011-1-1ii−i−i002i−2i000000−ii00-2-2221-2-2-1-21-22222-111-21-2-1-1-121-12002-22i−2i000022-2-211-1-1000000-112i−2i−ii0000-1-111−i−iii00−2i2i000000i−i00
χ1252-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-22i−2i2i−2i0000000000000000000000002i−2i2i−2i000000-22-22-2-2-2-2222-2-2222-2-2-222-22-2222-200000000000000-22-22−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000
χ1262-22-22222-2-2-222-2-2-2222-2-22-22-2-2-22000000000000002-22-2−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000-22-22-2-2-2-2222-2-2222-2-2-222-22-2222-200000000000000-22-222i−2i2i−2i0000000000000000000000002i−2i2i−2i000000
χ1272-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i33−33−3-11-112i−2i2i−2i00000000−i3i3−i3i33−33−300000000−ii−ii000000-22-22-21-2-222-11-22-121-212-11-1-2-1-121000000i3−i3i3−i3−33−331-11-1−2i2i−2i2i00000000i3−i3i3−i3−33−3300000000i−ii−i000000
χ1282-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000−i3i3−i3i3−33−33-11-11−2i2i−2i2i00000000−i3i3−i3i3−33−3300000000i−ii−i000000-22-22-21-2-222-11-22-121-212-11-1-2-1-121000000i3−i3i3−i33−33−31-11-12i−2i2i−2i00000000i3−i3i3−i33−33−300000000−ii−ii000000
χ1292-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i33−33−3-11-11−2i2i−2i2i00000000i3−i3i3−i33−33−300000000i−ii−i000000-22-22-21-2-222-11-22-121-212-11-1-2-1-121000000−i3i3−i3i3−33−331-11-12i−2i2i−2i00000000−i3i3−i3i3−33−3300000000−ii−ii000000
χ1302-22-22-122-2-21-12-21-2-12-1-21-11211-2-1000000i3−i3i3−i3−33−33-11-112i−2i2i−2i00000000i3−i3i3−i3−33−3300000000−ii−ii000000-22-22-21-2-222-11-22-121-212-11-1-2-1-121000000−i3i3−i3i33−33−31-11-1−2i2i−2i2i00000000−i3i3−i3i33−33−300000000i−ii−i000000
χ1312-2-22222-2-2-2-2-2-2222222-2-2-22-22-22-2000000000000002-2-222-2-220000000000000000000000002-2-22000000-222-2-2-2-2222222-2-2-2-2-2-2222-22-22-2200000000000000-222-2-222-2000000000000000000000000-222-2000000
χ1322-2-22222-2-2-2-2-2-2222222-2-2-22-22-22-2000000000000002-2-22-222-2000000000000000000000000-222-2000000-222-2-2-2-2222222-2-2-2-2-2-2222-22-22-2200000000000000-222-22-2-220000000000000000000000002-2-22000000
χ1332-2-222-12-2-2-211-22-12-12-1-211-1-2-11210000003−3−333−3−33-111-1-222-2000000003−3−333−3−33000000001-1-11000000-222-2-21-2222-1-12-21-21-212-1-1121-1-2-1000000−333−3−333−31-1-112-2-2200000000−333−3−333−300000000-111-1000000
χ1342-2-222-12-2-2-211-22-12-12-1-211-1-2-11210000003−3−33−333−3-111-12-2-22000000003−3−33−333−300000000-111-1000000-222-2-21-2222-1-12-21-21-212-1-1121-1-2-1000000−333−33−3−331-1-11-222-200000000−333−33−3−33000000001-1-11000000
χ1352-2-222-12-2-2-211-22-12-12-1-211-1-2-1121000000−333−33−3−33-111-12-2-2200000000−333−33−3−3300000000-111-1000000-222-2-21-2222-1-12-21-21-212-1-1121-1-2-10000003−3−33−333−31-1-11-222-2000000003−3−33−333−3000000001-1-11000000
χ1362-2-222-12-2-2-211-22-12-12-1-211-1-2-1121000000−333−3−333−3-111-1-222-200000000−333−3−333−3000000001-1-11000000-222-2-21-2222-1-12-21-21-212-1-1121-1-2-10000003−3−333−3−331-1-112-2-22000000003−3−333−3−3300000000-111-1000000
χ13744444-2-24-24-2-2-2-2-24-2-21-21-2-2-21-2-21440000-2-2-2-2000011110000-2-200000011110000000000000000000000-4-4-4-4-422-42-422222-422-12-1222-122-1-4-4000022220000-1-1-1-1000022000000-1-1-1-10000000000000000000000
χ13844444-2-24-24-2-2-2-2-24-2-21-21-2-2-21-2-21-4-40000222200001111000022000000-1-1-1-10000000000000000000000-4-4-4-4-422-42-422222-422-12-1222-122-1440000-2-2-2-20000-1-1-1-10000-2-200000011110000000000000000000000
χ1394444-24-2-2-2-244-2-24-2-21-21-2-2-21-2-21-200004400000000111100000000-2-2-2-200000000111100000000000000-4-4-4-42-42222-4-422-422-12-1222-122-120000-4-400000000-1-1-1-100000000222200000000-1-1-1-100000000000000
χ1404444-24-2-2-2-244-2-24-2-21-21-2-2-21-2-21-20000-4-400000000111100000000222200000000-1-1-1-100000000000000-4-4-4-42-42222-4-422-422-12-1222-122-1200004400000000-1-1-1-100000000-2-2-2-200000000111100000000000000
χ1414444-2-24-24-2-2-244-2-21-2-2-2-211-2-21-2-20044000000-2-2-2-21111000000-2-2000000001111000000000000000000-4-4-4-422-42-4222-4-422-12222-1-122-12200-4-40000002222-1-1-1-10000002200000000-1-1-1-1000000000000000000
χ1424444-2-24-24-2-2-244-2-21-2-2-2-211-2-21-2-200-4-4000000222211110000002200000000-1-1-1-1000000000000000000-4-4-4-422-42-4222-4-422-12222-1-122-1220044000000-2-2-2-2-1-1-1-1000000-2-2000000001111000000000000000000
χ14344-4-44-2-2-4-24-22222-4-2-21-21222-1-22-14i−4i0000−2i−2i2i2i000011-1-10000−2i2i000000ii−i−i0000000000000000000000-4-444-42242-42-2-2-2-2422-12-1-2-2-212-21−4i4i00002i2i−2i−2i0000-1-11100002i−2i000000−i−iii0000000000000000000000
χ14444-4-44-2-2-4-24-22222-4-2-21-21222-1-22-1−4i4i00002i2i−2i−2i000011-1-100002i−2i000000−i−iii0000000000000000000000-4-444-42242-42-2-2-2-2422-12-1-2-2-212-214i−4i0000−2i−2i2i2i0000-1-1110000−2i2i000000ii−i−i0000000000000000000000
χ14544-4-4-24-22-2-24-422-42-21-21-222-12-2-1200004i−4i0000000011-1-100000000−2i2i−2i2i00000000ii−i−i00000000000000-4-4442-42-222-44-2-24-22-12-12-2-21-221-20000−4i4i00000000-1-111000000002i−2i2i−2i00000000−i−iii00000000000000
χ14644-4-4-24-22-2-24-422-42-21-21-222-12-2-120000−4i4i0000000011-1-1000000002i−2i2i−2i00000000−i−iii00000000000000-4-4442-42-222-44-2-24-22-12-12-2-21-221-200004i−4i00000000-1-11100000000−2i2i−2i2i00000000ii−i−i00000000000000
χ14744-4-4-2-2424-2-22-4-4221-2-2-2-2-1-122122004-4000000-2-22211-1-1000000-220000000011-1-1000000000000000000-4-44422-4-2-422-244-2-2-1222211-2-2-1-2-200-4400000022-2-2-1-1110000002-200000000-1-111000000000000000000
χ14844-4-4-2-2424-2-22-4-4221-2-2-2-2-1-12212200-4400000022-2-211-1-10000002-200000000-1-111000000000000000000-4-44422-4-2-422-244-2-2-1222211-2-2-1-2-2004-4000000-2-222-1-111000000-220000000011-1-1000000000000000000
χ1494-44-444-242-4-44-22-4-44-2-2224-4-22-42-200000000000000-22-2200000000000000000000000000000000000000-44-44-4-42-4-244-42-244-422-2-2-442-24-22000000000000002-22-200000000000000000000000000000000000000
χ1504-44-44-2-242-42-2-222-4-2-212-1-22-2-1221000000−2i32i3−2i32i300001-11-1000000000000i3−i3i3−i30000000000000000000000-44-44-422-4-24-222-2-2422-1-212-221-2-2-10000002i3−2i32i3−2i30000-11-11000000000000−i3i3−i3i30000000000000000000000
χ1514-44-44-2-242-42-2-222-4-2-212-1-22-2-12210000002i3−2i32i3−2i300001-11-1000000000000−i3i3−i3i30000000000000000000000-44-44-422-4-24-222-2-2422-1-212-221-2-2-1000000−2i32i3−2i32i30000-11-11000000000000i3−i3i3−i30000000000000000000000
χ1524-44-4-244-2-42-444-4-42-2-242-4-22-2-422400000000000000-22-2200000000000000000000000000000000000000-44-442-4-424-24-4-444-222-4-242-224-2-2-4000000000000002-22-200000000000000000000000000000000000000
χ1534-44-4-24-2-222-44-22-42-21-2-12-22122-1-2000000000000001-11-1000000000000000000003i−3i3i−3i00000000000000-44-442-422-2-24-42-24-22-121-22-2-1-2-21200000000000000-11-1100000000000000000000−3i3i−3i3i00000000000000
χ1544-44-4-24-2-222-44-22-42-21-2-12-22122-1-2000000000000001-11-100000000000000000000−3i3i−3i3i00000000000000-44-442-422-2-24-42-24-22-121-22-2-1-2-21200000000000000-11-11000000000000000000003i−3i3i−3i00000000000000
χ1554-44-4-2-24-2-422-24-4221-2-2221-1-22-12-2000000000023−2323−231-11-10000000000000000−33−33000000000000000000-44-4422-424-2-22-44-2-2-122-2-2-112-21-220000000000−2323−2323-11-1100000000000000003−33−3000000000000000000
χ1564-44-4-2-24-2-422-24-4221-2-2221-1-22-12-20000000000−2323−23231-11-100000000000000003−33−3000000000000000000-44-4422-424-2-22-44-2-2-122-2-2-112-21-22000000000023−2323−23-11-110000000000000000−33−33000000000000000000
χ1574-4-4444-2-42-4-4-42-2444-2-222-442-2-4-2200000000000000-222-200000000000000000000000000000000000000-444-4-4-424-2444-22-4-4-422-2-24-4-2242-2000000000000002-2-2200000000000000000000000000000000000000
χ1584-4-444-2-2-42-4222-2-24-2-212-12-2212-2-100000023−23−232300001-1-11000000000000−333−30000000000000000000000-444-4-4224-24-2-2-222-422-1-21-22-2-1-221000000−232323−230000-111-10000000000003−3−330000000000000000000000
χ1594-4-444-2-2-42-4222-2-24-2-212-12-2212-2-1000000−232323−2300001-1-110000000000003−3−330000000000000000000000-444-4-4224-24-2-2-222-422-1-21-22-2-1-22100000023−23−23230000-111-1000000000000−333−30000000000000000000000
χ1604-4-44-2442-42-4-4-444-2-2-242-42-2242-2-400000000000000-222-200000000000000000000000000000000000000-444-42-4-4-24-2444-4-4222-4-24-22-2-4-224000000000000002-2-2200000000000000000000000000000000000000
χ1614-4-44-24-2222-4-42-24-2-21-2-122-2-1-2212000000000000001-1-11000000000000000000003-3-3300000000000000-444-42-42-2-2-244-22-422-121-2-2212-2-1-200000000000000-111-100000000000000000000-333-300000000000000
χ1624-4-44-24-2222-4-42-24-2-21-2-122-2-1-2212000000000000001-1-1100000000000000000000-333-300000000000000-444-42-42-2-2-244-22-422-121-2-2212-2-1-200000000000000-111-1000000000000000000003-3-3300000000000000
χ1634-4-44-2-242-4222-44-2-21-2-222-112-2-1-22000000000023−23−23231-1-110000000000000000−333−3000000000000000000-444-422-4-24-2-2-24-422-122-2-21-1-2212-20000000000−232323−23-111-100000000000000003−3−33000000000000000000
χ1644-4-44-2-242-4222-44-2-21-2-222-112-2-1-220000000000−232323−231-1-1100000000000000003−3−33000000000000000000-444-422-4-24-2-2-24-422-122-2-21-1-2212-2000000000023−23−2323-111-10000000000000000−333−3000000000000000000
χ1658888-4-4-4-4-4-4-4-4-4-4-4-422222222222200000000000000-1-1-1-100000000000000000000000000000000000000-8-8-8-8444444444444-2-2-2-2-2-2-2-2-2-2-2-200000000000000111100000000000000000000000000000000000000
χ16688-8-8-4-4-44-4-4-44444422222-2-2-2-22-2-200000000000000-1-11100000000000000000000000000000000000000-8-888444-4444-4-4-4-4-4-2-2-2-2-22222-2220000000000000011-1-100000000000000000000000000000000000000
χ1678-88-8-4-4-4-4444-4-4444222-2-22-22-2-2-2200000000000000-11-1100000000000000000000000000000000000000-88-884444-4-4-444-4-4-4-2-2-222-22-2222-2000000000000001-11-100000000000000000000000000000000000000
χ1688-8-88-4-4-4444444-4-4-4222-2-2-22-22-22-200000000000000-111-100000000000000000000000000000000000000-888-8444-4-4-4-4-4-4444-2-2-2222-22-22-22000000000000001-1-1100000000000000000000000000000000000000

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