Finite Group Databasebeta

← Group #11810338

Character table — Group #11810338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666121212124444466666666121212121212121212121212121222444444441212121212121212222244661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-111-1-1111
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-11
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111111111-1
χ17222222222-122-1-1-12-1-1222-12-122-122-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000222200000000000002-1-100-1-100-1-1-1-100000
χ18222222222-122-1-1-12-1-1222-12-122-122-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-211001100111100000
χ19222222222-122-1-1-12-1-1222-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-111-2-21111111111220000-2-2-2-200000000000002-1-1001100-1-11100000
χ20222222222-122-1-1-12-1-1222-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-111-2-21111111111-2-2000022220000000000000-21100-1-10011-1-100000
χ21222222222-122-1-1-12-1-1222-12-1-2-2-122-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-11111220000-2-2220000000000000-2-1-100110011-1-100000
χ22222222222-122-1-1-12-1-1222-12-1-2-2-122-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-11111-2-2000022-2-2000000000000021100-1-100-1-11100000
χ23222222222-122-1-1-12-1-1222-12-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21111111122-1-11111-1-1-1-122000022-2-20000000000000-2-1-100-1-100111100000
χ24222222222-122-1-1-12-1-1222-12-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-200002-2-21111111122-1-11111-1-1-1-1-2-20000-2-2220000000000000211001100-1-1-1-100000
χ2522222222-12-1-1222-122-1-1-12-1222-122-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100002000-1-100-1-1000000000
χ2622222222-12-1-1222-122-1-1-12-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2000110011000000000
χ2722222222-12-1-1222-122-1-1-12-1222-1-2-2-1-1-1-1-1-1-111112222-2-1-122-1-1-1-1-2-211-2-21111111100-2-2220000-1-1-1-111110000-2000-1-10011000000000
χ2822222222-12-1-1222-122-1-1-12-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-1-122-1-1-1-1-2-211-2-2111111110022-2-200001111-1-1-1-1000020001100-1-1000000000
χ2922222222-12-1-1222-122-1-1-12-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-211-2-211112211-2-2-1-1-1-111110022-2-20000-1-1-1-1-1-1-1-10000-2000110011000000000
χ3022222222-12-1-1222-122-1-1-12-12-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211112211-2-2-1-1-1-1111100-2-22200001111111100002000-1-100-1-1000000000
χ3122222222-12-1-1222-122-1-1-12-12-2-2-1-2-2-1-1-1-1-1-1-111112222211-2-21111-2-2-1-1221111-1-1-1-100-2-2-2-20000-1-1-1-11111000020001100-1-1000000000
χ3222222222-12-1-1222-122-1-1-12-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-2211-2-21111-2-2-1-1221111-1-1-1-100222200001111-1-1-1-10000-2000-1-10011000000000
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χ3522-22-22-2-2222-222-2-2-2-222-22-2-2002−2i2i222-2-2-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i000000000000000000000022-2-20000000000000000−2i2i0
χ3622-22-22-2-2222-222-2-2-2-222-22-2-2002−2i2i222-2-2-2-2−2i−2i2i2i0000000000000−2i2i0000−2i−2i2i2i0000000000000000000000-2-22200000000000000002i−2i0
χ3722-2-22-22-222222-22-22-2-2-2-2-22-2002002-2-22-22-200002i2i−2i−2i000000000000000000000000000002i−2i002i2i−2i−2i000000000000002i−2i0000002-2000
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χ4022-2-22-22-222222-22-22-2-2-2-2-22-2002002-2-22-22-20000−2i−2i2i2i00000000000000000000000000000−2i2i00−2i−2i2i2i00000000000000−2i2i0000002-2000
χ412-222-2-22-222-22-2222-222-2-2-2-2-200200-22-22-2-2200002i−2i2i−2i00000000000000000000000000000002i−2i2i−2i2i−2i00002-22-20000000000002i−2i00000
χ422-222-2-22-222-22-2222-222-2-2-2-2-200200-22-22-2-2200002i−2i2i−2i0000000000000000000000000000000−2i2i2i−2i2i−2i0000-22-22000000000000−2i2i00000
χ432-222-2-22-222-22-2222-222-2-2-2-2-200200-22-22-2-220000−2i2i−2i2i00000000000000000000000000000002i−2i−2i2i−2i2i0000-22-220000000000002i−2i00000
χ442-222-2-22-222-22-2222-222-2-2-2-2-200200-22-22-2-220000−2i2i−2i2i0000000000000000000000000000000−2i2i−2i2i−2i2i00002-22-2000000000000−2i2i00000
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χ502-2-2-2-222222-22-2-22-2-2-2-2222-222-2200-2-2222-2-20000-222-202-22-222-2-2000000000000000000-220000-222-2000000000000-220000000000000
χ512-2-2-2-222222-22-2-22-2-2-2-2222-22-22200-2-2222-2-200002-2-220-22-22-2-222000000000000000000-2200002-2-22000000000000-220000000000000
χ522-2-2-2-222222-22-2-22-2-2-2-2222-22-22200-2-2222-2-20000-222-20-22-22-2-2220000000000000000002-20000-222-20000000000002-20000000000000
χ532-2-2-2-2222-121-1-2-221-2-21-1-12122-2-10011-1-1-1113−33−32-2-220-112-2-1-111003−3003−33−333−3−300002-20000-111-13−33−300000000-11003−3000000000
χ542-2-2-2-2222-121-1-2-221-2-21-1-12122-2-10011-1-1-1113−33−3-222-20-112-2-1-111003−3003−33−333−3−30000-2200001-1-11−33−33000000001-100−33000000000
χ552-2-2-2-2222-121-1-2-221-2-21-1-12122-2-10011-1-1-111−33−332-2-220-112-2-1-11100−3300−33−33−3−33300002-20000-111-1−33−3300000000-1100−33000000000
χ562-2-2-2-2222-121-1-2-221-2-21-1-12122-2-10011-1-1-111−33−33-222-20-112-2-1-11100−3300−33−33−3−3330000-2200001-1-113−33−3000000001-1003−3000000000
χ572-2-2-2-2222-121-1-2-221-2-21-1-1212-22-10011-1-1-1113−33−32-2-2201-1-2211-1-100−33003−33−3−3−3330000-220000-111-13−33−3000000001-100−33000000000
χ582-2-2-2-2222-121-1-2-221-2-21-1-1212-22-10011-1-1-1113−33−3-222-201-1-2211-1-100−33003−33−3−3−33300002-200001-1-11−33−3300000000-11003−3000000000
χ592-2-2-2-2222-121-1-2-221-2-21-1-1212-22-10011-1-1-111−33−332-2-2201-1-2211-1-1003−300−33−3333−3−30000-220000-111-1−33−33000000001-1003−3000000000
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
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χ974-4-444-4-44-2422-44-424-4-22-2-4-2400-2002-222-2-220000000000000000000000000000000004-40000000000-2-22200000000000000000000000
χ984-4-444-4-44-2422-44-424-4-22-2-4-2400-2002-222-2-22000000000000000000000000000000000-44000000000022-2-200000000000000000000000
χ994-4-4-4-44444-2-4422-2-422-444-2-4-24-4-20022-2-2-2220000000004-4-22-2-2220000000000000000000000000000000000000000000000000000000
χ1004-4-4-4-44444-2-4422-2-422-444-2-4-2-44-20022-2-2-222000000000-442-222-2-20000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-22-222-22222-2-2-22-24-4100-1-1111-1-123−2323−2300000-22-2211-1-10023−2300−33−33−3−33300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-22-222-22222-2-2-22-24-4100-1-1111-1-1−2323−232300000-22-2211-1-100−2323003−33−333−3−300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-22-222-22222-2-2-22-2-44100-1-1111-1-123−2323−23000002-22-2-1-11100−232300−33−3333−3−300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-22-222-22222-2-2-22-2-44100-1-1111-1-1−2323−2323000002-22-2-1-1110023−23003−33−3−3−33300000000000000000000000000000000000000000
χ105888-8-8-8-88-4-4-44-444-44-444-444-4002002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-4-4-44-44-444444-44002002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-44-4-4-44-4-44444400200-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-4444-444-44-44-44-4-400200-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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