Finite Group Databasebeta

← Group #13169355

Character table — Group #13169355

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444666636661212121212121212124446666661212121212121212121212121212121244441212121212121212121212124444121212121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111111111-1-11111111111-1-1111-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-1111111111-1-11111-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111111111111-11-1-111-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-11-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1111-1-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-1-1-111-1-1-1-1-1111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-111-1-111-11-11-1-1-1-111-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1111-1-1-111-1-11111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-11-1-11111-1-11-1-1-111-1-111-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11111-1-111-111-111-1-111-1-1-11-11-1-1-1-1111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11-1-11-1-111-1-111111-1-1-111-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1111-111-1-1-1-111-1-1111111-1-1-1-11-1-11
χ17222222-12-1222-12-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202-1-1-1-1-1-1220022-1-10000-1-1-1-1000002-1-1-1-1-1-10000200200000000-10-10
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χ19222222-12-1222-12-122-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1202111111-2-200221100001111000002-1-1-1-1-1-10000-200-2000000001010
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χ21222222-12-1222-12-122-1-1-22-1-1-12-1-1-12-2-211111122-2-2002222-1-1-1-1-2-2-211111120-2-1-1-1-1-1-1-2-20022110000111100000-21-111-1-10000-200200000000-1010
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χ23222222-12-1222-12-122-1-1-22-1-1-12-1-1-12-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-211111120-2111111220022-1-10000-1-1-1-100000-21-111-1-10000200-20000000010-10
χ24222222-12-1222-12-122-1-1-22-1-1-12-1-1-12-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-2111111-2021111112200-2-2-1-10000-1-1-1-1000002-11-1-1110000-200200000000-1010
χ2522222-12-12-122222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-102022-1-1-1-1-1-1220022-1-1-1-1-1-1-1-1002220000000-1-1-1-1002000-1-1-1-1000000
χ2622222-12-12-122222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2022-1-1-1-1-1-1-2-200221111-1-1-1-100-2-2-20000000111100-20001111000000
χ2722222-12-12-122222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1020-2-21111112200-2-2-1-1-1-1111100-2-220000000-1-1-1-100-20001111000000
χ2822222-12-12-122222-1-12-12-12-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-2111111-2-200-2-2111111110022-200000001111002000-1-1-1-1000000
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χ3222222-12-12-122222-1-12-1-2-12-1-1-122-1-111-2-21111-2-222-2-21111-1-1-1-1-211-2-21111020-2-21111-1-1-2-2002211-1-1-1-1-1-100-2-22000000011-1-1002000-1-111000000
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χ342222-122222-1-12-122-1-122-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-200000000-1-1110022220000-2-200-11-2-21111-1-1-1-10-200110000000100
χ352222-122222-1-12-122-1-122-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-220000000011-1-100-2-2-2-20000-2-2001-122-1-1-1-111110-200110000000100
χ362222-122222-1-12-122-1-122-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200000000111100-2-2-2-20000220011-2-2111111110200-1-10000000-100
χ372222-122222-1-12-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-200000000-1-1-1-10022-2-20000220011-2211-1-1-1-1110-200-1-10000000100
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χ392222-122222-1-12-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20000000011-1-100-2-2220000-2-200-11-2211-1-111-1-10200110000000-100
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χ11188-8-8-4-4-4-4-44-4444442220222-2-2-2-2-2-20000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-444-4444-4-442220-2-2-2-22-222-24i3−4i300−2i3−2i32i32i30000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-44444-4-444-42220-2-2-22-22-2-2200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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