Finite Group Databasebeta

← Group #13139031

Character table — Group #13139031

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222666666669999121212121212121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order122234466688881212121224242424242424243366666622223666121212121212121224242424242424242424242424242424446666888812121212242424242424242422224444666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1
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χ101-11-111-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-111-1-111-1-11-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i11-1-1iiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii
χ111-11-111-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1-1-1111-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii-1-111−i−i−i−iiiii1-1-11i−i−ii1-1-11i−i−ii
χ121-11-111-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1-1-1111-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii-1-111−i−i−i−iiiii-111-1−iii−i-111-1−iii−i
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χ151-11-111-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1-1-1111-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i-1-111iiii−i−i−i−i1-1-11−iii−i1-1-11−iii−i
χ161-11-111-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1-1-1111-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i-1-111iiii−i−i−i−i-111-1i−i−ii-111-1i−i−ii
χ17222222222222222222222222222-12-12-12-10000-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
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χ232222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111100000000000000000000002200-2-200-1-1001100
χ242222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-12-12-120000-1-1-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000000000000000-2-20022001100-1-100
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χ392-22-22-22-2-220000-2-2220000000022-2-222-2-222-2-22-2-22-2-2-2-222220000000000000000-2222-2-20000-2-222000000000000000000000000
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χ412-2-22200-22-22−2−22000022−2−2−2−22222-2-2-2-2222-2-222-22-2000000002−22−222−2−2−22−22−2−222002-2-222−2−22000022−2−2−2−2220000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.