Finite Group Databasebeta

← Group #13169362

Character table — Group #13169362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244446666366612121212121212121244466666612121212121212121212121212121212224412121212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-111111111-1-111-1-1-11-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111111111-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1111-1-111-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-111-1-11111-1-111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-111-1-11-111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-11-1111-1-1-1-1111-1-11-1-1-1-111-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1111-11-1-1-11111-1-11-1-11-1-1-1-11111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-111111111-11-1-111-1-111-1-1-1-11-111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11-111-1-111-1-11111-1-11111-1-1-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-11-1111-1-1-1-111-1111-1-111-1-1111-11-1
χ17222222-122-12-122-12-1-122-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12220000000000-1-1-1-1222200002200-122-1-1-1-1-1-1-1-1-10002-1-100000000-10
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χ19222222-122-12-122-12-1-122-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22000000000011-1-1-2-2-2-20000-2-200-1221-1-1-1-11111000-2110000000010
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χ23222222-122-12-122-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-200000000001111-2-22200002200-1-22-111-1-111-1-1000-2-1-10000000010
χ24222222-122-12-122-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-222000000000011-1-1-2-2220000-2-20012-2-1-1-11111-1-100021100000000-10
χ2522222-122-1222-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202-1-1-1-1-1-122-1-100220000-1-1-1-100002-1-10-1-1-1-10000202000000000-1-100
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χ2822222-122-1222-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2111111-2-21100-2-2000011110000-211011110000202000000000-1-100
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χ3222222-122-1222-1-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-2111111-20211111122-1-100220000-1-1-1-10000-2-110-1-1110000-202000000000-1100
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χ362222-122-122-12222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-2111111-2-2-2-200111111110022000-200001111020000-1-1-1-1000000
χ372222-122-122-12222-1-12-1-2-12-1-1-122-1-111-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-211110-2022-1-1-1-111-2-22200-1-111111100-2-2000-20000-1-111020000-1-111000000
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χ392222-122-122-12222-1-12-1-2-12-1-1-122-1-111-2-21111-2-222221111-1-1-1-1-211-2-211110-20-2-21111-1-1222200-1-111-1-1-1-10022000-20000-1-1110-2000011-1-1000000
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χ452-22-2222-2-2-222-22-2-22220-2-2-2-22-222-200000000002-22i−2i00002-2-220000000000000000002-22-22i−2i002i−2i0022-2-2002i−2i000000002i−2i00000000002i−2i000000
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χ11188-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-20000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-4444-4-44-4442220-2-2-2-22-222-24i3−4i300−2i3−2i32i32i30000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444444-44-4-42220-2-2-22-22-2-2200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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