Finite Group Databasebeta

← Group #13168740

Character table — Group #13168740

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444121212123666121212121212121212444666666661212121212121212121212121212224412121212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-111111111-1-11-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-111-11-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111111111-1-111-1-1-1-1-1-11111-1-11-111-1-1-1-111-1-11-111-1-111-1-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1111-1-111-1-1111-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-11111-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-11-111-1-1-1-11111-1-1-1-1111111-11-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1-1111-1-111-1-1-1-11-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-11111-1-1-1-11-111-1-111111-1-1-1
χ17222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120022-1-1-1-1-1-122-1-1-1-10022-1-1-1-122002000-1-100-1-1000200-1-1-1-100000000
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χ20222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-2111111-2-2111100-2-211112200-2000110011000200-1-1-1-100000000
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χ22222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2-2-21111-1-1-1-1-2-2-211111120022-1-1-1-1-1-1-2-211-1-100-2-21111-2-20020001100-1-100020011-1-100000000
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χ362222-1222-12-12222-1-1-122-1-122-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000000011-2-2-2-21100000000221-2-211111111100020000-1-10000-10
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χ11088-8-8-4-4-4-4-4-444444422202-22-2-22-2-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).