Finite Group Databasebeta

← Group #11808265

Character table — Group #11808265

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212122222222244444444888888888888888888242424242424242433333333666666661212121212121212121212121212121212123636363636363636
order122222223666666644444412121212121212121212121222444444366666663666666612121212121212121212121212121212121266121212121212222222226666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111100000000
χ132222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-2000000
χ142222-2-2-2-22222-2-2-2-2000000000000000000-220000002222-2-2-2-22222-2-2-2-2000000000000000000-220000002222-2-2-2-22222-2-2-2-2000000000000000000-22000000
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χ1622-2-222-2-222-2-22-2-22000000000000000000000000−2i2i22-2-222-2-222-2-22-2-22000000000000000000000000−2i2i22-2-222-2-222-2-22-2-22000000000000000000000000−2i2i
χ1722-2-2-2-22222-2-2-222-200002-222-2-2000000000000000022-2-2-2-22222-2-2-222-200002-222-2-2000000000000000022-2-2-2-22222-2-2-222-200002-222-2-20000000000000000
χ1822-2-2-2-22222-2-2-222-20000-22-2-222000000000000000022-2-2-2-22222-2-2-222-20000-22-2-222000000000000000022-2-2-2-22222-2-2-222-20000-22-2-2220000000000000000
χ1922-2-2-2-222-1-1111-1-1100002-2-1-11133−3−333−3−30000000022-2-2-2-222-1-1111-1-1100002-2-1-11133−3−333−3−30000000022-2-2-2-222-1-1111-1-1100002-2-1-11133−3−333−3−300000000
χ2022-2-2-2-222-1-1111-1-1100002-2-1-111−3−333−3−3330000000022-2-2-2-222-1-1111-1-1100002-2-1-111−3−333−3−3330000000022-2-2-2-222-1-1111-1-1100002-2-1-111−3−333−3−33300000000
χ2122-2-2-2-222-1-1111-1-110000-2211-1-133−3−3−3−3330000000022-2-2-2-222-1-1111-1-110000-2211-1-133−3−3−3−3330000000022-2-2-2-222-1-1111-1-110000-2211-1-133−3−3−3−33300000000
χ2222-2-2-2-222-1-1111-1-110000-2211-1-1−3−33333−3−30000000022-2-2-2-222-1-1111-1-110000-2211-1-1−3−33333−3−30000000022-2-2-2-222-1-1111-1-110000-2211-1-1−3−33333−3−300000000
χ232-22-22-22-22-22-22-22-2002i−2i00000000002i−2i2i−2i000000002-22-22-22-22-22-22-22-2002i−2i00000000002i−2i2i−2i000000002-22-22-22-22-22-22-22-2002i−2i00000000002i−2i2i−2i00000000
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χ262-22-22-22-2-11-11-11-11002i−2i00i3−i3i3−i3−33−33−ii−ii000000002-22-22-22-2-11-11-11-11002i−2i00i3−i3i3−i3−33−33−ii−ii000000002-22-22-22-2-11-11-11-11002i−2i00i3−i3i3−i3−33−33−ii−ii00000000
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χ292-22-2-22-222-22-2-22-2200000000000000000000002-2002-22-2-22-222-22-2-22-2200000000000000000000002-2002-22-2-22-222-22-2-22-2200000000000000000000002-200
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χ332-2-22-222-22-2-22-2-2222-2000000002-2-220000000000002-2-22-222-22-2-22-2-2222-2000000002-2-220000000000002-2-22-222-22-2-22-2-2222-2000000002-2-22000000000000
χ342-2-22-222-22-2-22-2-222-2200000000-222-20000000000002-2-22-222-22-2-22-2-222-2200000000-222-20000000000002-2-22-222-22-2-22-2-222-2200000000-222-2000000000000
χ352-2-22-222-2-111-111-1-12-20000−i3i3i3−i3-111-1−i3i3i3−i3000000002-2-22-222-2-111-111-1-12-20000−i3i3i3−i3-111-1−i3i3i3−i3000000002-2-22-222-2-111-111-1-12-20000−i3i3i3−i3-111-1−i3i3i3−i300000000
χ362-2-22-222-2-111-111-1-12-20000i3−i3−i3i3-111-1i3−i3−i3i3000000002-2-22-222-2-111-111-1-12-20000i3−i3−i3i3-111-1i3−i3−i3i3000000002-2-22-222-2-111-111-1-12-20000i3−i3−i3i3-111-1i3−i3−i3i300000000
χ372-2-22-222-2-111-111-1-1-220000−i3i3i3−i31-1-11i3−i3−i3i3000000002-2-22-222-2-111-111-1-1-220000−i3i3i3−i31-1-11i3−i3−i3i3000000002-2-22-222-2-111-111-1-1-220000−i3i3i3−i31-1-11i3−i3−i3i300000000
χ382-2-22-222-2-111-111-1-1-220000i3−i3−i3i31-1-11−i3i3i3−i3000000002-2-22-222-2-111-111-1-1-220000i3−i3−i3i31-1-11−i3i3i3−i3000000002-2-22-222-2-111-111-1-1-220000i3−i3−i3i31-1-11−i3i3i3−i300000000
χ394444-4-4-4-4-2-2-2-22222000000000000000000000000004444-4-4-4-4-2-2-2-22222000000000000000000000000004444-4-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-4-444-4-4-2-222-222-20000000000000000000000000044-4-444-4-4-2-222-222-20000000000000000000000000044-4-444-4-4-2-222-222-200000000000000000000000000
χ414-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-200000000000000000000000000
χ424-4-444-4-44-222-2-2-222000000000000000000000000004-4-444-4-44-222-2-2-222000000000000000000000000004-4-444-4-44-222-2-2-22200000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ46111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111
χ481111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-111-1-1
χ491111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1
χ501111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111
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χ5222222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-211111111-2-22222-1-1-1-11111-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-1-1-1-1-1111100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111100000000-2-2-2-2-2-2-2-2111111112222-2-21111-1-1-1-1-1-1-1-100000000
χ552222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-2000000-2-2-2-22222-2-2-2-22222000000000000000000-22000000
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χ88222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000
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χ1268-8-888-8-88-444-4-4-44400000000000000000000000000-444-4-444-42-2-2222-2-200000000000000000000000000000000000000000000000000000000000000000000

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