Finite Group Databasebeta

← Group #13168022

Character table — Group #13168022

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244441212121236661212121212121212122246666666612121212121212121212121212122244666666661212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111111111111111-1-111-11-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-111-1-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11-1-11-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-11111111111111111-1-1-1-11-111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-11111-11-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-11111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1-1-111-1-11111-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-1111111-1-11-11111-1-1-1-1-1-111-1-111-1-11111-11-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1111-1-1-1-111-1-11-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-1-1-1-111111111-1-111-1-111-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-11-11-1-1-111-1-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1111111-1-1-111111-1-111-1-11-1
χ17222222-12-12-12-12222-1-12-1-1-12-1-122-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-10000000000000022002-1-1-1-1-1-1-1-12-1-10020-1-1000000-1000
χ18222222-12-12-12-12222-1-12-1-1-12-1-122-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22222-1-11100000000000000-2-200-2-111-1-1-1-11-21100-20110000001000
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χ21222222-12-12-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-222-2-2-1-1-1-100000000000000220021-1-1-1-1111-21100-20-1-10000001000
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χ23222222-12-12-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-2-2-22211-1-100000000000000-2-2002-1-1-111-1-11-211002011000000-1000
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χ2522222-12-12-122222-1-12-122-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1200-1-1-1-12200-1-12222-1-1-1-1-1-1-1-100220200-1-1-1-10000020000-1-1-1-1000000
χ2622222-12-12-122222-1-12-122-1-1-12-1-1-12-1-122-1-1-1-122-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1200-1-1-1-1220011-2-2-2-21111111100-2-20200-1-1-1-100000-200001111000000
χ2722222-12-12-122222-1-12-122-1-1-12-1-1-12-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2001111-2-200-1-12222-1-1-1-1-1-1-1-100-2-20-200111100000-200001111000000
χ2822222-12-12-122222-1-12-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2001111-2-20011-2-2-2-21111111100220-20011110000020000-1-1-1-1000000
χ2922222-12-12-122222-1-12-1-22-1-1-12-1-1-1211-2-211112222-2-21111-1-1-1-1-2-2-2111111-200-1-1112200-1-122-2-2-1-1-1-1111100220-200-1-11100000-20000-1-111000000
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χ3222222-12-12-122222-1-12-1-22-1-1-12-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-211111120011-1-1-2-20011-2-2221111-1-1-1-10022020011-1-100000-20000-1-111000000
χ332222-1222222-12-1-12-1-122-122-1-12-1-1-122-1-1-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-10220000002222-1-1-1-1-1-1-1-1-1-1-1-10000-10-1-100002-1-1-12002000000000-1-10
χ342222-1222222-12-1-12-1-122-122-1-12-1-1-122-1-1-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-10-2-2000000-2-222-1-1-1-1-1-1-1-1-1-1-1-1000010110000-2111-200-2000000000110
χ352222-1222222-12-1-12-1-122-122-1-12-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-102200000022-2-21111111111110000-10-1-100002-1-1-1-200-2000000000110
χ362222-1222222-12-1-12-1-122-122-1-12-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-2000000-2-2-2-2111111111111000010110000-21112002000000000-1-10
χ372222-1222222-12-1-12-1-12-2-122-1-12-1-1-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-211-2-2111102-20000002222-1-111-1-1-1-111110000-10-1-10000-2111-20020000000001-10
χ382222-1222222-12-1-12-1-12-2-122-1-12-1-1-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-211-2-211110-22000000-2-222-1-111-1-1-1-111110000101100002-1-1-1200-2000000000-110
χ392222-1222222-12-1-12-1-12-2-122-1-12-1-1-1-2-211111100-2-2222222-1-1-1-1-211-2-2111102-200000022-2-211-1-11111-1-1-1-10000-10-1-10000-2111200-2000000000-110
χ402222-1222222-12-1-12-1-12-2-122-1-12-1-1-1-2-211111100-2-2222222-1-1-1-1-211-2-211110-22000000-2-2-2-211-1-11111-1-1-1-10000101100002-1-1-1-20020000000001-10
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χ502-22-22-12-121-2-2-22-21-12-10-211-12-111-2−i3i300−i3−i3i3i32-2−2i2i00−33−33-111-1000−i3i3−i3−i3i3i3000-11−i3i32-200i−i−2i2i00ii−i−i−33−3300−2i2i0000-11−i3i30000000000i−i−33000000
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χ11188-8-8-4-4-444-4-4-444442220-22-2-2-2-22-220000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-4-4-44444-4442220-2-2-2222-2-2-24i3−4i300−2i3−2i32i32i30000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-444444-44-4-422202-22-2-2-2-22-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000

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