Finite Group Databasebeta

← Group #13161400

Character table — Group #13161400

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222222244444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636363636363636216216
order1223333344666661212121212121212233334666666666661212121212121212121212121212121266666666666666661212121212121212121212121212121244121212121212121212121212121212128242424242424242424446612121212121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-11111-11-1-111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ611111111111111111111111-11111-11-1-111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ711111111111111111111111-11111-11-1-111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-11-1
χ811111111111111111111111-11111-11-1-111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-11
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χ112222222-1222222-1222222222-1-1-1-12-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000002222-1-1-1-1-1-1-1-100
χ122222222-1222222-1222222222-1-1-1-12-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-2-2-21111111100
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χ142222222-1222222-122222222-2-1-1-1-1-2-111-1-1-1-122222222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-111111111000000000000000000000000000-2-2221111-1-1-1-100
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χ31222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12200000000000000
χ32222-1-1-12222-1-1-122-1-1-1-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-2-2111111111111-2-2-2-2-2111111-2-200000000000000
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χ3522-2222222-22222222222222022220-2002222-2-2-2-2-2-2-2-22-200222222220000-2-2-2-2000000000000-2-2-2-2000000000000000000000000000000000002-20022-2-2000000
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χ3722-222222-2222222-2-2-2-2-2-2-2-222222-2-2222222-2-2-2-22222-22-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000
χ3822-222222-2222222-2-2-2-2-2-2-2-2-222222-2-2-22222-2-2-2-22222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000000000000
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χ4122-22222-12-22222-1222222220-1-1-1-101i3−i3-1-1-1-1-2-2-2-2-2-2-2-2-11−i3i3-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i300001111−i3−i3−i3−i3i3i3i3i30000000000000000000000000002-200-1-111i3−i3i3−i300
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χ4622-22222-1-222222-1-2-2-2-2-2-2-2-2-2-1-1-1-12111-1-1-1-1-2-2-2-222221-1-1-111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300
χ4722-22-1-1-12-222-1-1-12-2-211111122-1-1-1-2-2222-1-1-1-21112-1-1-1-22-2-2-2-21111112-1-1-1-21112-1-1-12-1-1-1-21112-1-1-1-2111-211100000033−3−333−3−333−3−30003−33−33−300000000000000
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χ4922-22-1-1-12-222-1-1-12-2-2111111-22-1-1-12-2-2-22-1-1-1-21112-1-1-1-2222-2-2111111-2111-2111-2111-21112-1-1-12-1-1-12-1-1-12-1-1-100000033−3−333−3−333−3−3000−33−33−3300000000000000
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χ5522-2-1-12-12-22-1-12-121111-2-2112-1-12-1-2-222-1-12-111-21-1-12-1-22-2-21111-2-211-1-12-111-21-1-12-1-1-12-111-21-1-12-111-2111-210033−3−3−3−333000033−3−303−3−33003−300000000000000
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χ5922-2-1-1-122-22-1-1-122111111-2-22-1-1-12-2-222-1-1-12111-2-1-1-12-22-2-2111111-2-2-1-1-12111-2-1-1-12-1-1-12111-2-1-1-12111-2111-20033−3−333−3−3−3−333000003−33−3−330000000000000000
χ6022-2-1-1-122-22-1-1-122111111-2-22-1-1-12-2-222-1-1-12111-2-1-1-12-22-2-2111111-2-2-1-1-12111-2-1-1-12-1-1-12111-2-1-1-12111-2111-200−3−333−3−33333−3−300000−33−333−30000000000000000
χ6122-2-1-1-122-22-1-1-122111111-2-2-2-1-1-122-2-2-2-1-1-12111-2-1-1-12-2222111111-2-2111-2111-2111-2111-2-1-1-12-1-1-12-1-1-12-1-1-120033−3−333−3−3−3−33300000−33−333−30000000000000000
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χ1034-404444400-4-4-4-4-400000000044440000-4-4-4-400000000000000000000000000000000000000000000000000002-22-22-22-22-22-22-22-22-200000000000000000000000
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χ1298-80-4-4-48-400444-84−4343−434343−43000222-40000-2-2-2400000000000023−2323−23−2323000000000000000000000000000000000000000000000000000000000000000000000000000

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