Finite Group Databasebeta

← Group #11867878

Character table — Group #11867878

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222222222222222444444444444444444444444444121212121212121212121212242424242424727211222222222222222224444444444444444444444444441212121212121212121212122424242424247272
order1223344666688121224242424366668121212121212122424242424242424242424242424246688121224242424246612128822266446666881212242424246666681212121212121224242424242424242424242424242466881212242424242466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-111111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-11-1
χ611111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1111111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-11
χ711111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1111111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-11
χ811111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1111-111111111111-1-111-1-1-1-111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1111-1
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χ112222-122-1-12-122222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1002222-122-1-12-122222222-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100
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χ132222-122-1-12-1-2-222-2-2-2-2-12-1-1-1-22-1-1-1-1-1-1-2-21111111111110000000000002-2-1-111002222-122-1-12-1-2-222-2-2-2-2-12-1-1-1-22-1-1-1-1-1-1-2-21111111111110000000000002-2-1-11100
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χ15222-122222-1222-1-1-1-1-1-1-1-1-1-1-12-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000222-122222-1222-1-1-1-1-1-1-1-1-1-1-12-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000
χ16222-122222-1222-1-1-1-1-1-1-1-1-1-1-12-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211111100000000222-122222-1222-1-1-1-1-1-1-1-1-1-1-12-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-211111100000000
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χ2322-2222-2-2-222222222222-2-2-22-2-2-2-2-2222-2-222-2-222-2-222-2-20000000000000000000022-2222-2-2-222222222222-2-2-22-2-2-2-2-2222-2-222-2-222-2-222-2-200000000000000000000
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χ3122-2-122-2-2-2-1222-1-1-1-1-1-1-1111-1-21-2112-1-11122-2-2-1-111-1-11100−i3i300i3−i3−i3i3−i3i30000000022-2-122-2-2-2-1222-1-1-1-1-1-1-1111-1-21-2112-1-11122-2-2-1-111-1-11100−i3i300i3−i3−i3i3−i3i300000000
χ3222-2-122-2-2-2-1222-1-1-1-1-1-1-1111-1-21-2112-1-11122-2-2-1-111-1-11100i3−i300−i3i3i3−i3i3−i30000000022-2-122-2-2-2-1222-1-1-1-1-1-1-1111-1-21-2112-1-11122-2-2-1-111-1-11100i3−i300−i3i3i3−i3i3−i300000000
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χ3422-2-122-2-2-2-12-2-2-1-11111-1111-121-2112-1-1-1-1-2-22211-1-111-1-100i3−i300−i3i3−i3i3−i3i30000000022-2-122-2-2-2-12-2-2-1-11111-1111-121-2112-1-1-1-1-2-22211-1-111-1-100i3−i300−i3i3−i3i3−i3i300000000
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χ3622-2-12-22-2-2-12001133−3−3-1111-10-12-1-1-211−33000033−3−3−3−333-221100-1-1−333−30000000022-2-12-22-2-2-12001133−3−3-1111-10-12-1-1-211−33000033−3−3−3−333-221100-1-1−333−300000000
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χ3822-2-12-22-2-2-120011−3−333-1111-10-12-1-1-2113−30000−3−33333−3−3-221100-1-13−3−330000000022-2-12-22-2-2-120011−3−333-1111-10-12-1-1-2113−30000−3−33333−3−3-221100-1-13−3−3300000000
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χ4444-44-2-44224-200-4-40000-2-422-204-2-2-2222000000000000000000000000000000000044-44-2-44224-200-4-40000-2-422-204-2-2-22220000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.