Finite Group Databasebeta

← Group #11808863

Character table — Group #11808863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
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χ19222222222-12222-1-1-12-1-1-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-1111122-2-200220000-2-2000000000000-1-11111-1-100000000
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χ2622222222-12-1-1-1-1222-1222-12-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-20022-2-2001111-1-1-1-111110000000000000000
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χ36222-22-2-2-22222-2-222-222-2-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-2222200000000000000000000-22000000000000000000000000-220000002-20000
χ3722-22-22-2-222-2-2222-222-22-2-2-2-222-2-222-2-220000002-2-222-2-200000000000022-2-222-2-20000000000000000002-20000000000000000000000002-20000002-2000000
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χ4122-2-2-2-22222-2-2-2-22-2-22-2-2222222-2-2-2-222200002-22-2-2-2-2220000000022-2-222-2-2-2-2222-2000022-2-20000000000002-20000000022-2-2000000000000000000000000
χ4222-2-2-2-22222-2-2-2-22-2-22-2-2222222-2-2-2-22220000-222-2-2-2-22200000000-2-22222-2-2-2-222-220000-2-222000000000000-2200000000-2-222000000000000000000000000
χ4322-2-2-2-22222-2-2-2-22-2-22-2-22222-2-22222-2-2200002-22-2-2-2-2220000000022-2-2-2-22222-2-22-2000022-2-2000000000000-2200000000-2-222000000000000000000000000
χ4422-2-2-2-22222-2-2-2-22-2-22-2-22222-2-22222-2-220000-222-2-2-2-22200000000-2-222-2-22222-2-2-220000-2-2220000000000002-20000000022-2-2000000000000000000000000
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χ4822-2-2-2-222-1211112-2-2-1-2-22-12-122-2-2-2-222-10000-22-11111-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i30000-220000000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-41111111-2-2-2-2222222220000000022-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
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χ1064-444-4-44-4-24-22-22-4-4-4244-4-242−4i4i−4i4i−4i4i−4i4i-20000002-22-222-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1134-4-444-4-444-2-444-42-22-42-2-2-42400000000-24i−4i000022-2-22-224i−4i−4i4i000000000000000000−2i2i000000−2i2i2i−2i0000000000000000000000000000000000000000000000
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χ1214-4-4-4444-4-242-22-2-4442-4-4-4-2424i−4i−4i4i−4i4i4i−4i-200000022-22-22-2000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-4444-4-242-22-2-4442-4-4-4-242−4i4i4i−4i4i−4i−4i4i-200000022-22-22-20000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1258-888-8-88-8-4-4-44-444444-4-44-4-44000000002000000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-8888-8-4-44-44-44-4-44444-4-44000000002000000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000

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