Finite Group Databasebeta

← Group #11836007

Character table — Group #11836007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444488888888888888888888812121212121212121212121212121212121212121212121212121212242424242424242424243636727272
order1222222233666666666666663444466666661212121212121212412121212121212121212121212121212121212122222222244446666666612121212121212124466661212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111-1-1-1-1-111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-11-1-1-1-1-1-11111-11-1
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-111-11-1
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1-111
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-111
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1
χ17222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-1000020-1-100-1-10000000
χ18222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000-201100110000000
χ19222222222-1222-1-1-122-1-12-12-1-122-2-2-1-1-1-1-1-1-122221111-2-1-1-2-2-2-211-1-1-1-11111111122220000-2-200-1-1-1-1000011110000-20-1-100110000000
χ20222222222-1222-1-1-122-1-12-12-1-122-2-2-1-1-1-1-1-1-122221111-2-1-1-2-2-2-211-1-1-1-111111111-2-2-2-20000220011110000-1-1-1-10000201100-1-10000000
χ21222222222-1222-1-1-122-1-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-21122-2-2111111-1-1-1-1111122-2-200002200-1-1-1-10000-1-1-1-10000-201100110000000
χ22222222222-1222-1-1-122-1-12-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-21122-2-2111111-1-1-1-11111-2-2220000-2-200111100001111000020-1-100-1-10000000
χ23222222222-1222-1-1-122-1-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111211-2-222-1-111111111-1-1-1-122-2-20000-2-200-1-1-1-1000011110000201100-1-10000000
χ24222222222-1222-1-1-122-1-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111211-2-222-1-111111111-1-1-1-1-2-2220000220011110000-1-1-1-10000-20-1-100110000000
χ2522222222-12-1-1-1222-1-122-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-10200-1-100-1-100000
χ2622222222-12-1-1-1222-1-122-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-200001111000011110-20011001100000
χ2722222222-12-1-1-1222-1-122-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2221111-2-2-1-1-1-111111111000022-2-200220000-1-1-1-10000-1-1-1-10-20011001100000
χ2822222222-12-1-1-1222-1-122-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2221111-2-2-1-1-1-1111111110000-2-22200-2-200001111000011110200-1-100-1-100000
χ2922222222-12-1-1-1222-1-122-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-111-2-21111-1-1-1-111110000222200-2-20000-1-1-1-1000011110-200-1-1001100000
χ3022222222-12-1-1-1222-1-122-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-111-2-21111-1-1-1-111110000-2-2-2-20022000011110000-1-1-1-102001100-1-100000
χ3122222222-12-1-1-1222-1-122-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-12211111111-1-1-1-1000022-2-200-2-20000-1-1-1-10000111102001100-1-100000
χ3222222222-12-1-1-1222-1-122-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-12211111111-1-1-1-10000-2-2220022000011110000-1-1-1-10-200-1-1001100000
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χ3622-222-2-2-22222-222-2-2-2-2-222-2-220000222-2-2-2-20000000000000000000000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000002-2000
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χ412-2-22-22-22-12-11-1-2-22-11-2-21212-1002-2-111-1-11133−3−322-2-2000-113−30033−3−3-1-11133−3−300002-22-200000000-1-11100003−33−30000-11003−300000
χ422-2-22-22-22-12-11-1-2-22-11-2-21212-1002-2-111-1-11133−3−322-2-2000-113−30033−3−3-1-11133−3−30000-22-220000000011-1-10000−33−3300001-100−3300000
χ432-2-22-22-22-12-11-1-2-22-11-2-21212-1002-2-111-1-111−3−33322-2-2000-11−3300−3−333-1-111−3−33300002-22-200000000-1-1110000−33−330000-1100−3300000
χ442-2-22-22-22-12-11-1-2-22-11-2-21212-1002-2-111-1-111−3−33322-2-2000-11−3300−3−333-1-111−3−3330000-22-220000000011-1-100003−33−300001-1003−300000
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χ462-2-22-22-22-12-11-1-2-22-11-2-21212-100-22-111-1-11133−3−3-2-2220001-1−330033−3−311-1-1−3−3330000-222-20000000011-1-10000−33−330000-11003−300000
χ472-2-22-22-22-12-11-1-2-22-11-2-21212-100-22-111-1-111−3−333-2-2220001-13−300−3−33311-1-133−3−300002-2-2200000000-1-1110000−33−3300001-1003−300000
χ482-2-22-22-22-12-11-1-2-22-11-2-21212-100-22-111-1-111−3−333-2-2220001-13−300−3−33311-1-133−3−30000-222-20000000011-1-100003−33−30000-1100−3300000
χ492-2-2-22-22222-2-222-22-2-22-22-22-222-200-22-22-22-22-22-2000002-20000002-22-2000000002-22-20000000022-2-2000000000000002-200000000000
χ502-2-2-22-22222-2-222-22-2-22-22-22-222-200-22-22-22-22-22-2000002-20000002-22-200000000-22-2200000000-2-22200000000000000-2200000000000
χ512-2-2-22-22222-2-222-22-2-22-22-22-22-2200-22-22-22-2-22-2200000-22000000-22-22000000002-2-220000000022-2-200000000000000-2200000000000
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χ532-2-2-22-2222-1-2-22-11-1-2-2-112121-12-2001-11-11-112-22-23−33−30-1100003−3-11-113−33−33−33−32-22-200000000-1-11100003−33−3000000-11003−30000000
χ542-2-2-22-2222-1-2-22-11-1-2-2-112121-12-2001-11-11-112-22-23−33−30-1100003−3-11-113−33−33−33−3-22-220000000011-1-10000−33−330000001-100−330000000
χ552-2-2-22-2222-1-2-22-11-1-2-2-112121-12-2001-11-11-112-22-2−33−330-110000−33-11-11−33−33−33−332-22-200000000-1-1110000−33−33000000-1100−330000000
χ562-2-2-22-2222-1-2-22-11-1-2-2-112121-12-2001-11-11-112-22-2−33−330-110000−33-11-11−33−33−33−33-22-220000000011-1-100003−33−30000001-1003−30000000
χ572-2-2-22-2222-1-2-22-11-1-2-2-112121-1-22001-11-11-11-22-223−33−301-10000−331-11-13−33−3−33−332-2-2200000000-1-11100003−33−30000001-100−330000000
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χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-44411111112222-2-2-2-2-422-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222222242222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000000
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χ994-4-4-44-444-2422-24-44224-4-2-4-2-4-24-4002-22-22-22-22-22000004-4000000-22-22000000000000000000000000000000000000000000000000000
χ1004-4-4-44-444-2422-24-44224-4-2-4-2-4-2-44002-22-22-222-22-200000-440000002-22-2000000000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-222-2-22-222-22-22-2214-400-11-11-11-1-22-2223−2323−230-22000023−231-11-1−33−33−33−330000000000000000000000000000000000000000000
χ1024-4-4-44-444-2-222-2-22-222-22-22-2214-400-11-11-11-1-22-22−2323−23230-220000−23231-11-13−33−33−33−30000000000000000000000000000000000000000000
χ1034-4-4-44-444-2-222-2-22-222-22-22-221-4400-11-11-11-12-22-223−2323−2302-20000−2323-11-11−33−333−33−30000000000000000000000000000000000000000000
χ1044-4-4-44-444-2-222-2-22-222-22-22-221-4400-11-11-11-12-22-2−2323−232302-2000023−23-11-113−33−3−33−330000000000000000000000000000000000000000000
χ10588-888-8-8-8-4-4-4-44-4-444444-4-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-44-444-44-44-4444-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-4-4444444-4-4-44-4-44200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-888-8-8-4-4444-444-4-44-4-444-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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