Finite Group Databasebeta

← Group #13172171

Character table — Group #13172171

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11112222222222223333444444444444666666666666666666668888121212121212121212121212121212121818181818181818181818181818363654541111222222222222333344444444444466666666666666666666888812121212121212121212121212121212181818181818181818181818181836365454
order1222333666666666444433366666666644441212121212121212121212121212121236661212121212121212121212121212121222444466661212121212122222226666666666664444666666666666444412121212121212121212121212121212666612121212121212121212121212121212224444666612121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ81111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-11-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−ii−i11-1-1ii−i−ii−i1-111-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-11-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−ii−i11-1-1ii−i−ii−i1-1
χ1011-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-11-1−iiii−i−i11-1-1ii−i−i−i−iii11-1-11-1−iiii−i−i11-1-1−i−iii-11i−i−ii-1-111ii−i−i−ii-1111-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-11-1−iiii−i−i11-1-1ii−i−i−i−iii11-1-11-1−iiii−i−i11-1-1−i−iii-11i−i−ii-1-111ii−i−i−ii-11
χ1111-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-1-11i−iii−i−i-1-111ii−i−iii−i−i11-1-1-11i−iii−i−i-1-111ii−i−i1-1−ii−ii11-1-1−i−iii−ii-1111-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-1-11i−iii−i−i-1-111ii−i−iii−i−i11-1-1-11i−iii−i−i-1-111ii−i−i1-1−ii−ii11-1-1−i−iii−ii-11
χ1211-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-1-11−iiii−i−i-1-111ii−i−i−i−iii11-1-1-11−iiii−i−i-1-111−i−iii-11−iii−i-1-111−i−iiii−i1-111-1-1111-11-111-1-1-1-1ii−i−i11111-1-1-1-11-1-1-11−iiii−i−i-1-111ii−i−i−i−iii11-1-1-11−iiii−i−i-1-111−i−iii-11−iii−i-1-111−i−iiii−i1-1
χ1311-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-11-1i−i−i−iii11-1-1−i−iiiii−i−i11-1-11-1i−i−i−iii11-1-1ii−i−i-11−iii−i-1-111−i−iiii−i-1111-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-11-1i−i−i−iii11-1-1−i−iiiii−i−i11-1-11-1i−i−i−iii11-1-1ii−i−i-11−iii−i-1-111−i−iiii−i-11
χ1411-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-11-1−ii−i−iii11-1-1−i−iii−i−iii11-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii−ii11-1-1−i−iii−ii1-111-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-11-1−ii−i−iii11-1-1−i−iii−i−iii11-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii−ii11-1-1−i−iii−ii1-1
χ1511-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-1-11i−i−i−iii-1-111−i−iiiii−i−i11-1-1-11i−i−i−iii-1-111ii−i−i-11i−i−ii-1-111ii−i−i−ii1-111-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-1-11i−i−i−iii-1-111−i−iiiii−i−i11-1-1-11i−i−i−iii-1-111ii−i−i-11i−i−ii-1-111ii−i−i−ii1-1
χ1611-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-1-11−ii−i−iii-1-111−i−iii−i−iii11-1-1-11−ii−i−iii-1-111−i−iii1-1i−ii−i11-1-1ii−i−ii−i-1111-1-1111-11-111-1-1-1-1−i−iii11111-1-1-1-11-1-1-11−ii−i−iii-1-111−i−iii−i−iii11-1-1-11−ii−i−iii-1-111−i−iii1-1i−ii−i11-1-1ii−i−ii−i-11
χ17222222-12-1-1222-12222222-1-1-1-122-1-12-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-10000-1-1-1-1220000-1-1-1-100000000222222-12-1-1222-12222222-1-1-1-122-1-12-1-1002222220000-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-10000-1-1-1-1220000-1-1-1-100000000
χ18222222-12-1-1222-12222222-1-1-1-122-1-12-1-100-2-222220000-1-1-1-11111-1-1-1-100-2-2-1-1-1-100001111-2-20000111100000000222222-12-1-1222-12222222-1-1-1-122-1-12-1-100-2-222220000-1-1-1-11111-1-1-1-100-2-2-1-1-1-100001111-2-20000111100000000
χ19222222-12-1-1222-122-2-2-2-22-1-1-1-122-1-12-1-10022-2-2-2-200001111-1-1-1-1-1-1-1-1002211110000-1-1-1-1-2-20000111100000000222222-12-1-1222-122-2-2-2-22-1-1-1-122-1-12-1-10022-2-2-2-200001111-1-1-1-1-1-1-1-1002211110000-1-1-1-1-2-20000111100000000
χ20222222-12-1-1222-122-2-2-2-22-1-1-1-122-1-12-1-100-2-2-2-2-2-2000011111111-1-1-1-100-2-2111100001111220000-1-1-1-100000000222222-12-1-1222-122-2-2-2-22-1-1-1-122-1-12-1-100-2-2-2-2-2-2000011111111-1-1-1-100-2-2111100001111220000-1-1-1-100000000
χ2122222-122222-1-12-122222-12-12-1-1-12-1-12-12200-1-1-1-1-1-1-1-122220000-1-1-1-12200-1-1-1-1-1-1-1-100000022000000-1-1-1-1000022222-122222-1-12-122222-12-12-1-1-12-1-12-12200-1-1-1-1-1-1-1-122220000-1-1-1-12200-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ2222222-122222-1-12-122222-12-12-1-1-12-1-12-1-2-200-1-1-1-1111122220000-1-1-1-1-2-200-1-1-1-11111000000-2-20000001111000022222-122222-1-12-122222-12-12-1-1-12-1-12-1-2-200-1-1-1-1111122220000-1-1-1-1-2-200-1-1-1-11111000000-2-200000011110000
χ2322222-122222-1-12-12-2-2-2-2-12-12-1-1-12-1-12-122001111-1-1-1-1-2-2-2-20000-1-1-1-122001111-1-1-1-1000000-2-20000001111000022222-122222-1-12-12-2-2-2-2-12-12-1-1-12-1-12-122001111-1-1-1-1-2-2-2-20000-1-1-1-122001111-1-1-1-1000000-2-200000011110000
χ2422222-122222-1-12-12-2-2-2-2-12-12-1-1-12-1-12-1-2-20011111111-2-2-2-20000-1-1-1-1-2-2001111111100000022000000-1-1-1-1000022222-122222-1-12-12-2-2-2-2-12-12-1-1-12-1-12-1-2-20011111111-2-2-2-20000-1-1-1-1-2-2001111111100000022000000-1-1-1-10000
χ252222-122-122-12222-10000-1-12-12-1-1-12-1-1222220000222200002222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-100002200000000-1-1002222-122-122-12222-10000-1-12-12-1-1-12-1-1222220000222200002222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-100002200000000-1-100
χ262222-122-122-12222-10000-1-12-12-1-1-12-1-1222-2-2000022220000-2-2-2-2-1-1-1-1-1-1110000-1-1-1-111110000-2-20000000011002222-122-122-12222-10000-1-12-12-1-1-12-1-1222-2-2000022220000-2-2-2-2-1-1-1-1-1-1110000-1-1-1-111110000-2-2000000001100
χ272222-122-122-12222-10000-1-12-12-1-1-12-1-12-2-2220000-2-2-2-200002222-1-1-1-111-1-100001111-1-1-1-10000-2-20000000011002222-122-122-12222-10000-1-12-12-1-1-12-1-12-2-2220000-2-2-2-200002222-1-1-1-111-1-100001111-1-1-1-10000-2-2000000001100
χ282222-122-122-12222-10000-1-12-12-1-1-12-1-12-2-2-2-20000-2-2-2-20000-2-2-2-2-1-1-1-1111100001111111100002200000000-1-1002222-122-122-12222-10000-1-12-12-1-1-12-1-12-2-2-2-20000-2-2-2-20000-2-2-2-2-1-1-1-1111100001111111100002200000000-1-100
χ2922-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-1-1-1-2-211211002i−2i2i2i−2i−2i0000−i−iii−i−iii-1-111002i−2i−i−iii0000−i−iii2-20000-1-1110000000022-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-1-1-1-2-211211002i−2i2i2i−2i−2i0000−i−iii−i−iii-1-111002i−2i−i−iii0000−i−iii2-20000-1-11100000000
χ3022-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-1-1-1-2-21121100−2i2i2i2i−2i−2i0000−i−iiiii−i−i-1-11100−2i2i−i−iii0000ii−i−i-22000011-1-10000000022-2-222-1-2-1122-21-2-22i2i−2i−2i2-1-1-1-1-2-21121100−2i2i2i2i−2i−2i0000−i−iiiii−i−i-1-11100−2i2i−i−iii0000ii−i−i-22000011-1-100000000
χ3122-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-1-1-1-2-211211002i−2i−2i−2i2i2i0000ii−i−i−i−iii-1-111002i−2iii−i−i0000−i−iii-22000011-1-10000000022-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-1-1-1-2-211211002i−2i−2i−2i2i2i0000ii−i−i−i−iii-1-111002i−2iii−i−i0000−i−iii-22000011-1-100000000
χ3222-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-1-1-1-2-21121100−2i2i−2i−2i2i2i0000ii−i−iii−i−i-1-11100−2i2iii−i−i0000ii−i−i2-20000-1-1110000000022-2-222-1-2-1122-21-2-2−2i−2i2i2i2-1-1-1-1-2-21121100−2i2i−2i−2i2i2i0000ii−i−iii−i−i-1-11100−2i2iii−i−i0000ii−i−i2-20000-1-11100000000
χ3322-2-22-12-22-22-11-21-22i2i−2i−2i-12-12-111-21-1-212-200−i−iii-1-1112i2i−2i−2i0000-1-1112-200−i−iii-1-1110000002i−2i000000−i−iii000022-2-22-12-22-22-11-21-22i2i−2i−2i-12-12-111-21-1-212-200−i−iii-1-1112i2i−2i−2i0000-1-1112-200−i−iii-1-1110000002i−2i000000−i−iii0000
χ3422-2-22-12-22-22-11-21-22i2i−2i−2i-12-12-111-21-1-21-2200−i−iii11-1-12i2i−2i−2i0000-1-111-2200−i−iii11-1-1000000−2i2i000000ii−i−i000022-2-22-12-22-22-11-21-22i2i−2i−2i-12-12-111-21-1-21-2200−i−iii11-1-12i2i−2i−2i0000-1-111-2200−i−iii11-1-1000000−2i2i000000ii−i−i0000
χ3522-2-22-12-22-22-11-21-2−2i−2i2i2i-12-12-111-21-1-212-200ii−i−i-1-111−2i−2i2i2i0000-1-1112-200ii−i−i-1-111000000−2i2i000000ii−i−i000022-2-22-12-22-22-11-21-2−2i−2i2i2i-12-12-111-21-1-212-200ii−i−i-1-111−2i−2i2i2i0000-1-1112-200ii−i−i-1-111000000−2i2i000000ii−i−i0000
χ3622-2-22-12-22-22-11-21-2−2i−2i2i2i-12-12-111-21-1-21-2200ii−i−i11-1-1−2i−2i2i2i0000-1-111-2200ii−i−i11-1-10000002i−2i000000−i−iii000022-2-22-12-22-22-11-21-2−2i−2i2i2i-12-12-111-21-1-21-2200ii−i−i11-1-1−2i−2i2i2i0000-1-111-2200ii−i−i11-1-10000002i−2i000000−i−iii0000
χ3722-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-22-22i−2i000022-2-200002i2i−2i−2i-1-111-11−ii0000-1-111−i−iii00002i−2i00000000−ii0022-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-22-22i−2i000022-2-200002i2i−2i−2i-1-111-11−ii0000-1-111−i−iii00002i−2i00000000−ii00
χ3822-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-22-2−2i2i000022-2-20000−2i−2i2i2i-1-111-11i−i0000-1-111ii−i−i0000−2i2i00000000i−i0022-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-22-2−2i2i000022-2-20000−2i−2i2i2i-1-111-11i−i0000-1-111ii−i−i0000−2i2i00000000i−i00
χ3922-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-2-222i−2i0000-2-22200002i2i−2i−2i-1-1111-1−ii000011-1-1−i−iii0000−2i2i00000000i−i0022-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-2-222i−2i0000-2-22200002i2i−2i−2i-1-1111-1−ii000011-1-1−i−iii0000−2i2i00000000i−i00
χ4022-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-2-22−2i2i0000-2-2220000−2i−2i2i2i-1-1111-1i−i000011-1-1ii−i−i00002i−2i00000000−ii0022-2-2-12212-2-12-2-2-210000-1-12-12111-2-11-2-22−2i2i0000-2-2220000−2i−2i2i2i-1-1111-1i−i000011-1-1ii−i−i00002i−2i00000000−ii00
χ412-22-22222-22-2-2-2-22-22i−2i2i−2i222-2-22-222-2-2-200002i−2i2i−2i00002i−2i2i−2i00002-22-200002i−2i2i−2i000000000000000000000000002-22-22222-22-2-2-2-22-22i−2i2i−2i222-2-22-222-2-2-200002i−2i2i−2i00002i−2i2i−2i00002-22-200002i−2i2i−2i00000000000000000000000000
χ422-22-22222-22-2-2-2-22-2−2i2i−2i2i222-2-22-222-2-2-20000−2i2i−2i2i0000−2i2i−2i2i00002-22-20000−2i2i−2i2i000000000000000000000000002-22-22222-22-2-2-2-22-2−2i2i−2i2i222-2-22-222-2-2-20000−2i2i−2i2i0000−2i2i−2i2i00002-22-20000−2i2i−2i2i00000000000000000000000000
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χ1432-2-2222-1-211-2-22-1-222-2-222-1-111-2211-2-1-100002-2-220000-111-1−i3i3i3−i3-111-10000-111-10000−i3i3i3−i3000000−i3i3i3−i300000000-222-2-2-212-1-122-212-2-222-2-211-1-12-2-1-12110000-222-200001-1-11i3−i3−i3i31-1-1100001-1-110000i3−i3−i3i3000000i3−i3−i3i300000000
χ1442-2-2222-1-211-2-22-1-222-2-222-1-111-2211-2-1-100002-2-220000-111-1i3−i3−i3i3-111-10000-111-10000i3−i3−i3i3000000i3−i3−i3i300000000-222-2-2-212-1-122-212-2-222-2-211-1-12-2-1-12110000-222-200001-1-11−i3i3i3−i31-1-1100001-1-110000−i3i3i3−i3000000−i3i3i3−i300000000
χ1452-2-2222-1-211-2-22-1-22-222-22-1-111-2211-2-1-10000-222-200001-1-11−i3i3i3−i3-111-100001-1-110000−i3i3i3−i3000000i3−i3−i3i300000000-222-2-2-212-1-122-212-22-2-22-211-1-12-2-1-121100002-2-220000-111-1i3−i3−i3i31-1-110000-111-10000i3−i3−i3i3000000−i3i3i3−i300000000
χ1462-2-2222-1-211-2-22-1-22-222-22-1-111-2211-2-1-10000-222-200001-1-11i3−i3−i3i3-111-100001-1-110000i3−i3−i3i3000000−i3i3i3−i300000000-222-2-2-212-1-122-212-22-2-22-211-1-12-2-1-121100002-2-220000-111-1−i3i3i3−i31-1-110000-111-10000−i3i3i3−i3000000i3−i3−i3i300000000
χ1472-2-222-12-2-2-2-21-12122-2-22-12-1-211-1-2112-10000-111-13−3−332-2-220000-111-10000-111-13−3−3300000000000000−333−30000-222-2-21-22222-11-2-1-2-222-21-212-1-112-1-1-2100001-1-11−333−3-222-200001-1-1100001-1-11−333−3000000000000003−3−330000
χ1482-2-222-12-2-2-2-21-12122-2-22-12-1-211-1-2112-10000-111-1−333−32-2-220000-111-10000-111-1−333−3000000000000003−3−330000-222-2-21-22222-11-2-1-2-222-21-212-1-112-1-1-2100001-1-113−3−33-222-200001-1-1100001-1-113−3−3300000000000000−333−30000
χ1492-2-222-12-2-2-2-21-1212-222-2-12-1-211-1-2112-100001-1-113−3−33-222-20000-111-100001-1-113−3−33000000000000003−3−330000-222-2-21-22222-11-2-1-22-2-221-212-1-112-1-1-210000-111-1−333−32-2-2200001-1-110000-111-1−333−300000000000000−333−30000
χ1502-2-222-12-2-2-2-21-1212-222-2-12-1-211-1-2112-100001-1-11−333−3-222-20000-111-100001-1-11−333−300000000000000−333−30000-222-2-21-22222-11-2-1-22-2-221-212-1-112-1-1-210000-111-13−3−332-2-2200001-1-110000-111-13−3−33000000000000003−3−330000
χ15144444-2-24-2-24-2-2-2-244444-2-21-21-2-2-21-2-210000-2-2-2-20000-2-2-2-2000011110000111100000000000000000000000000-4-4-4-4-422-422-42222-4-4-4-4-422-12-1222-122-100002222000022220000-1-1-1-10000-1-1-1-100000000000000000000000000
χ15244444-2-24-2-24-2-2-2-24-4-4-4-4-2-21-21-2-2-21-2-210000222200002222000011110000-1-1-1-100000000000000000000000000-4-4-4-4-422-422-42222-4444422-12-1222-122-10000-2-2-2-20000-2-2-2-20000-1-1-1-10000111100000000000000000000000000
χ1534444-24-2-2-2-2-244-24-20000-21-21-2-2-21-2-21-20044000000000000-2-2-2-2111100-2-2000000001111000000000000000000-4-4-4-42-422222-4-42-4200002-12-1222-122-1200-4-40000000000002222-1-1-1-1002200000000-1-1-1-1000000000000000000
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χ15744-4-44-2-2-4-224-2222-44i4i−4i−4i-2-21-21222-1-22-10000−2i−2i2i2i0000−2i−2i2i2i000011-1-10000ii−i−i00000000000000000000000000-4-444-42242-2-42-2-2-24−4i−4i4i4i22-12-1-2-2-212-2100002i2i−2i−2i00002i2i−2i−2i0000-1-1110000−i−iii00000000000000000000000000
χ15844-4-44-2-2-4-224-2222-4−4i−4i4i4i-2-21-21222-1-22-100002i2i−2i−2i00002i2i−2i−2i000011-1-10000−i−iii00000000000000000000000000-4-444-42242-2-42-2-2-244i4i−4i−4i22-12-1-2-2-212-210000−2i−2i2i2i0000−2i−2i2i2i0000-1-1110000ii−i−i00000000000000000000000000
χ15944-4-4-24-22-22-24-42-420000-21-21-222-12-2-12004i−4i000000000000−2i−2i2i2i11-1-100−2i2i00000000ii−i−i000000000000000000-4-4442-42-22-22-44-24-200002-12-12-2-21-221-200−4i4i0000000000002i2i−2i−2i-1-111002i−2i00000000−i−iii000000000000000000
χ16044-4-4-24-22-22-24-42-420000-21-21-222-12-2-1200−4i4i0000000000002i2i−2i−2i11-1-1002i−2i00000000−i−iii000000000000000000-4-4442-42-22-22-44-24-200002-12-12-2-21-221-2004i−4i000000000000−2i−2i2i2i-1-11100−2i2i00000000ii−i−i000000000000000000
χ16144-4-4-2-2424-4-2-22-42200001-2-2-2-2-1-1221224-4000000-2-2220000000011-1-1-2200000011-1-10000000000000000000000-4-44422-4-2-4422-24-2-20000-1222211-2-2-1-2-2-4400000022-2-200000000-1-1112-2000000-1-1110000000000000000000000
χ16244-4-4-2-2424-4-2-22-42200001-2-2-2-2-1-122122-4400000022-2-20000000011-1-12-2000000-1-1110000000000000000000000-4-44422-4-2-4422-24-2-20000-1222211-2-2-1-2-24-4000000-2-22200000000-1-111-2200000011-1-10000000000000000000000
χ1634-44-44-2-242-2-4222-2-44i−4i4i−4i-2-212-1-22-2122-10000−2i2i−2i2i0000−2i2i−2i2i00001-11-10000i−ii−i00000000000000000000000000-44-44-422-4-224-2-2-224−4i4i−4i4i22-1-212-22-1-2-2100002i−2i2i−2i00002i−2i2i−2i0000-11-110000−ii−ii00000000000000000000000000
χ1644-44-44-2-242-2-4222-2-4−4i4i−4i4i-2-212-1-22-2122-100002i−2i2i−2i00002i−2i2i−2i00001-11-10000−ii−ii00000000000000000000000000-44-44-422-4-224-2-2-2244i−4i4i−4i22-1-212-22-1-2-210000−2i2i−2i2i0000−2i2i−2i2i0000-11-110000i−ii−i00000000000000000000000000
χ1654-44-4-244-2-442-4-4-4420000-2-242-4-22-2422-400000000000000000000-22-220000000000000000000000000000000000-44-442-4-424-4-2444-4-2000022-4-242-22-4-2-24000000000000000000002-22-20000000000000000000000000000000000
χ1664-44-4-24-2-22-22-4-42420000-21-2-12-221-22-12000000000000000023−2323−231-11-1000000000000−33−33000000000000000000-44-442-422-22-244-2-4-200002-121-22-2-12-21-20000000000000000−2323−2323-11-110000000000003−33−3000000000000000000
χ1674-44-4-24-2-22-22-4-42420000-21-2-12-221-22-120000000000000000−2323−23231-11-10000000000003−33−3000000000000000000-44-442-422-22-244-2-4-200002-121-22-2-12-21-2000000000000000023−2323−23-11-11000000000000−33−33000000000000000000
χ1684-44-4-2-24-2-44222-4-2200001-2-2221-1-2-2-1220000000023−2323−23000000001-11-100000000−33−330000000000000000000000-44-4422-424-4-2-2-242-20000-122-2-2-11221-2-200000000−2323−232300000000-11-11000000003−33−30000000000000000000000
χ1694-44-4-2-24-2-44222-4-2200001-2-2221-1-2-2-12200000000−2323−2323000000001-11-1000000003−33−30000000000000000000000-44-4422-424-4-2-2-242-20000-122-2-2-11221-2-20000000023−2323−2300000000-11-1100000000−33−330000000000000000000000
χ1704-4-444-2-2-422-42-2-2244-4-44-2-212-12-22-12-210000-222-20000-222-200001-1-1100001-1-1100000000000000000000000000-444-4-4224-2-24-222-2-4-444-422-1-21-22-21-22-100002-2-2200002-2-220000-111-10000-111-100000000000000000000000000
χ1714-4-444-2-2-422-42-2-224-444-4-2-212-12-22-12-2100002-2-2200002-2-2200001-1-110000-111-100000000000000000000000000-444-4-4224-2-24-222-2-44-4-4422-1-21-22-21-22-10000-222-20000-222-20000-111-100001-1-1100000000000000000000000000
χ1724-4-44-2442-4-42-444-4-20000-2-242-42-22-42-2400000000000000000000-222-20000000000000000000000000000000000-444-42-4-4-244-24-4-442000022-4-24-22-24-22-4000000000000000000002-2-220000000000000000000000000000000000
χ1734-4-44-24-22222-44-2-4-20000-21-2-122-2-1221-20000000000000000−2i32i32i3−2i31-1-11000000000000i3−i3−i3i3000000000000000000-444-42-42-2-2-2-24-424200002-121-2-221-2-2-1200000000000000002i3−2i3−2i32i3-111-1000000000000−i3i3i3−i3000000000000000000
χ1744-4-44-24-22222-44-2-4-20000-21-2-122-2-1221-200000000000000002i3−2i3−2i32i31-1-11000000000000−i3i3i3−i3000000000000000000-444-42-42-2-2-2-24-424200002-121-2-221-2-2-120000000000000000−2i32i32i3−2i3-111-1000000000000i3−i3−i3i3000000000000000000
χ1754-4-44-2-242-4-422-242-200001-2-222-1122-1-2-20000000023−23−2323000000001-1-1100000000−333−30000000000000000000000-444-422-4-244-2-22-4-220000-122-2-21-1-2-212200000000−232323−2300000000-111-1000000003−3−330000000000000000000000
χ1764-4-44-2-242-4-422-242-200001-2-222-1122-1-2-200000000−232323−23000000001-1-11000000003−3−330000000000000000000000-444-422-4-244-2-22-4-220000-122-2-21-1-2-21220000000023−23−232300000000-111-100000000−333−30000000000000000000000
χ1778888-4-4-4-4-4-4-4-4-4-4-4-4000022222222222200000000000000000000-1-1-1-10000000000000000000000000000000000-8-8-8-84444444444440000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000011110000000000000000000000000000000000
χ17888-8-8-4-4-44-44-4-44444000022222-2-2-2-22-2-200000000000000000000-1-1110000000000000000000000000000000000-8-888444-44-444-4-4-4-40000-2-2-2-2-22222-2220000000000000000000011-1-10000000000000000000000000000000000
χ1798-88-8-4-4-4-44-44444-440000222-2-22-222-2-2-200000000000000000000-11-110000000000000000000000000000000000-88-884444-44-4-4-4-44-40000-2-2-222-22-2-2222000000000000000000001-11-10000000000000000000000000000000000
χ1808-8-88-4-4-444444-4-44-40000222-2-2-22-2-2-22200000000000000000000-111-10000000000000000000000000000000000-888-8444-4-4-4-4-444-440000-2-2-2222-2222-2-2000000000000000000001-1-110000000000000000000000000000000000

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