Finite Group Databasebeta

← Group #11812857

Character table — Group #11812857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121222224412121212121212121212121222442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1111
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-11111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-12-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-1222-1-12-122-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-21111-2-21111-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-10000-2011110000000000000
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χ22222222222-1222-1-12-122-1-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-211-1-122-1-1-1-11111111122-2-2000000-1-1-1-1111100002011-1-10000000000000
χ23222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-222-1-111-2-211111111-1-1-1-1-2-2-2-20000001111-1-1-1-100002011-1-10000000000000
χ24222222222-1222-1-12-122-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-222-1-111-2-211111111-1-1-1-12222000000-1-1-1-111110000-20-1-1110000000000000
χ2522222222-12-1-1-122-12-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
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χ2722222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-2111111-1-1-1-11111000022-2-2-2-2000000000000020000-1-1-1-1111100000
χ2822222222-12-1-1-122-12-1-12222-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-2111111-1-1-1-111110000-2-222220000000000000-200001111-1-1-1-100000
χ2922222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-2-222-1-1-1-1-1-11111111100002222-2-20000000000000-20000-1-111-1-11100000
χ3022222222-12-1-1-122-12-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-2-222-1-1-1-1-1-1111111110000-2-2-2-22200000000000002000011-1-111-1-100000
χ3122222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-122-2-21111111111-1-1-1-1000022-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-1-122-12-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-122-2-21111111111-1-1-1-10000-2-222-2-200000000000002000011-1-1-1-11100000
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χ35222-2-2-22-2222-2-22-2222-22-2-2-2-22000022-2-2-2-220000−2i−2i2i2i000000000000000000000000000002i−2i000000−2i−2i2i2i-2-22200000000002i−2i0000000
χ36222-2-2-22-2222-2-22-2222-22-2-2-2-22000022-2-2-2-220000−2i−2i2i2i00000000000000000000000000000−2i2i000000−2i−2i2i2i22-2-20000000000−2i2i0000000
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χ412-22-2-22-2222-2-22-2-222-2-2-2-222222-200-2-2-2-222222-2-2000002-200000000000022-2-200000000000000000000002-2-22000000000000002-2000
χ422-22-2-22-2222-2-22-2-222-2-2-2-222222-200-2-2-2-222222-2-2000002-200000000000022-2-20000000000000000000000-222-200000000000000-22000
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χ442-22-2-22-2222-2-22-2-222-2-2-2-22222-2200-2-2-2-2222-2-22200000-22000000000000-2-2220000000000000000000000-222-2000000000000002-2000
χ452-2-22-222-222-222-2-2-2-22-2222-2-2200002-22-22-2-200002i−2i2i−2i0000000000000000000000000002-2000000002i−2i2i−2i00000000002-2000000002i−2i0
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χ492-2-2-22-22222-2-2-2-22-2-2222-2-2222002-22-2-22-22-200002-2-2200000002-22-222-2-200000000002-200000000002-2-220000002-2000000000000000
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χ512-2-2-22-22222-2-2-2-22-2-2222-2-222200-222-2-22-22-200002-2-220000000-22-22-2-2220000000000-2200000000002-2-22000000-22000000000000000
χ522-2-2-22-22222-2-2-2-22-2-2222-2-222200-222-2-22-22-20000-222-20000000-22-22-2-22200000000002-20000000000-222-20000002-2000000000000000
χ532-2-2-22-2222-1-2-2-21-1-2122-111-12-1002-2-111-11-113−33−32-2-22000003−3-112-2-1-1113−33−333−3−3002-20000003−33−3-111-1000000-113−30000000000000
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χ562-2-2-22-2222-1-2-2-21-1-2122-111-12-1002-2-111-11-11−33−33-222-200000−33-112-2-1-111−33−33−3−33300-220000003−33−31-1-110000001-13−30000000000000
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χ1024-4-4-44-444-2-22222-222-2-2-222-2-21004-41-1-11-11-1−2323−2323000000000−2323-22-2211-1-13−33−333−3−300000000000000000000000000000000000000000
χ1034-4-4-44-444-2-22222-222-2-2-222-2-2100-441-1-11-11-123−2323−23000000000−23232-22-2-1-111−33−3333−3−300000000000000000000000000000000000000000
χ1044-4-4-44-444-2-22222-222-2-2-222-2-2100-441-1-11-11-1−2323−232300000000023−232-22-2-1-1113−33−3−3−33300000000000000000000000000000000000000000
χ105888-8-8-88-8-4-4-444-44-4-4-44-444442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-44-4-4-4444-444-44420000-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-4-4-44-44-444420000-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-44-4-44444-44-4-4-444200002-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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