Finite Group Databasebeta

← Group #11817795

Character table — Group #11817795

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-1-1111
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ17222222222-1222-1-122-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-100-1-100000000000
χ18222222222-1222-1-122-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011001100000000000
χ19222222222-1222-1-122-1-1-12-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-11111111122-2-2000000-1-1-1-1-1-1-1-10000-2011001100000000000
χ20222222222-1222-1-122-1-1-12-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-111111111-2-22200000011111111000020-1-100-1-100000000000
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χ22222222222-1222-1-122-1-1-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-1-2-211221111-1-1-1-1111122-2-2000000-1-1-1-11111000020-1-1001100000000000
χ23222222222-1222-1-122-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-21122-1-1-2-211111111-1-1-1-1-2-2-2-20000001111-1-1-1-1000020-1-1001100000000000
χ24222222222-1222-1-122-1-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-21122-1-1-2-211111111-1-1-1-12222000000-1-1-1-111110000-201100-1-100000000000
χ2522222222-12-1-1-122-1-1222-122-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222220000000000000200-1-100-1-1-1-1-1-100000
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χ2722222222-12-1-1-122-1-1222-122-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111100002222-2-20000000000000-200-1-100-1-1111100000
χ2822222222-12-1-1-122-1-1222-122-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-1111111110000-2-2-2-2220000000000000200110011-1-1-1-100000
χ2922222222-12-1-1-122-1-1222-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2112211-2-2-1-11111-1-1-1-11111000022-2-2-2-20000000000000200-1-10011-1-11100000
χ3022222222-12-1-1-122-1-1222-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2112211-2-2-1-11111-1-1-1-111110000-2-222220000000000000-2001100-1-111-1-100000
χ3122222222-12-1-1-122-1-1222-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-1000022-2-2220000000000000-200-1-1001111-1-100000
χ3222222222-12-1-1-122-1-1222-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-10000-2-222-2-200000000000002001100-1-1-1-11100000
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χ412-222-2-22-222-22-2-2-2-222222-2-2-220000-22-2-22-2200002i−2i2i−2i000000000000000000000000000002i−2i0000002i−2i2i−2i2-22-2000000002i−2i000000000
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χ442-222-2-22-222-22-2-2-2-222222-2-2-220000-22-2-22-220000−2i2i−2i2i00000000000000000000000000000−2i2i000000−2i2i−2i2i2-22-200000000−2i2i000000000
χ452-2-2222-2-222-222-2-22-2-2-22-222-222-200-22-22-22-222-2-2000002-20000000022-2-2000000000000000000000000002i−2i−2i2i00000000000000002i−2i0
χ462-2-2222-2-222-222-2-22-2-2-22-222-222-200-22-22-22-222-2-2000002-20000000022-2-200000000000000000000000000−2i2i2i−2i0000000000000000−2i2i0
χ472-2-2222-2-222-222-2-22-2-2-22-222-22-2200-22-22-22-2-2-22200000-2200000000-2-222000000000000000000000000002i−2i−2i2i0000000000000000−2i2i0
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χ492-2-2-2-222222-2-22-22-2-22-2-22-2222002-2-2-2222-2-200002-2-220002-200002-2000022-2-20000002-200000000002-2-2200000000002-200000000000
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χ512-2-2-2-222222-2-22-22-2-22-2-22-222200-22-2-2222-2-200002-2-22000-220000-220000-2-222000000-2200000000002-2-220000000000-2200000000000
χ522-2-2-2-222222-2-22-22-2-22-2-22-222200-22-2-2222-2-20000-222-2000-220000-220000-2-2220000002-20000000000-222-200000000002-200000000000
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χ552-2-2-2-22222-1-2-221-1-2-2-11121-12-1002-211-1-1-111−33−332-2-22000-1100−332-2−33−33-1-111−3−333002-2000000−33−33-111-1000000−3300-1100000000000
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χ582-2-2-2-22222-1-2-221-1-2-2-11121-12-100-2211-1-1-1113−33−3-222-20001-100−33-223−33−311-1-1−3−333002-2000000−33−331-1-110000003−300-1100000000000
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χ994-4-4-4-4444-2422-2-44224-4-4-2-44-2-2004-422-2-2-222000000000004-40000-220000-2-222000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-2422-2-44224-4-4-2-44-2-200-4422-2-2-22200000000000-4400002-2000022-2-2000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-222-22-222-222-22-2-21004-4-1-1111-1-123−2323−230000000-220023−23-22−33−3311-1-1−3−33300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-222-22-222-222-22-2-21004-4-1-1111-1-1−2323−23230000000-2200−2323-223−33−311-1-133−3−300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-222-22-222-222-22-2-2100-44-1-1111-1-123−2323−2300000002-200−23232-2−33−33-1-11133−3−300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-222-22-222-222-22-2-2100-44-1-1111-1-1−2323−232300000002-20023−232-23−33−3-1-111−3−33300000000000000000000000000000000000000000
χ10588-88-8-8-88-4-4-4-44-4-44444-4444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-444-44-44-444-4-444200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-44444-4-4-4-4-444420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-8-88-4-44444-4-4-44-444-44-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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