Finite Group Databasebeta

← Group #11819057

Character table — Group #11819057

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666612121212444446666666612121212121212121212121212124444444444121212121212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-111-1-11
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-111-1-111-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111111111-1
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-11111-1
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11
χ17222222222-1222-1-12-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-12-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-1222-1-12-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-211-2-2111111112200-2-20000-1-1-1-111110000-20-1-1110000000000000
χ20222222222-1222-1-12-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-1-1-1-1-2-211-2-211111111-2-2002200001111-1-1-1-100002011-1-10000000000000
χ21222222222-1222-1-12-122-1-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-21111112211-2-2-1-1-1-11111-2-200220000-1-1-1-1-1-1-1-10000-2011110000000000000
χ22222222222-1222-1-12-122-1-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21111112211-2-2-1-1-1-111112200-2-2000011111111000020-1-1-1-10000000000000
χ23222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-2111111-2-2-1-1221111-1-1-1-1-2-200-2-20000-1-1-1-1111100002011-1-10000000000000
χ24222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2111111-2-2-1-1221111-1-1-1-122002200001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-2111111111100220022-2-20000000000000-20000-1-111-1-11100000
χ2822222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-2111111111100-2-200-2-22200000000000002000011-1-111-1-100000
χ2922222222-12-1-1-122-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-11111002200-2-2220000000000000-20000-1-11111-1-100000
χ3022222222-12-1-1-122-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-1-2-211-1-1-1-1111100-2-20022-2-200000000000002000011-1-1-1-11100000
χ3122222222-12-1-1-122-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211111122-1-11111-1-1-1-1002200-2-2-2-2000000000000020000-1-1-1-1111100000
χ3222222222-12-1-1-122-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211111122-1-11111-1-1-1-100-2-20022220000000000000-200001111-1-1-1-100000
χ332222-2-2-2-2222222-2-2-2-2-222-2-2-22-2200222-2-2-2-2000022-2-202-22-222-2-2000000000000002-20000000022-2-200000000002-2000000000000000
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χ352222-2-2-2-2222222-2-2-2-2-222-2-2-2-22200222-2-2-2-2000022-2-20-22-22-2-22200000000000000-220000000022-2-20000000000-22000000000000000
χ362222-2-2-2-2222222-2-2-2-2-222-2-2-2-22200222-2-2-2-20000-2-2220-22-22-2-222000000000000002-200000000-2-22200000000002-2000000000000000
χ372222-2-2-2-22-1222-11-21-2-2-1-111-22-2-100-1-1-1111133−3−322-2-202-2-11-1-111003−30033−3−333−3−32-200000000-1-11133−3−3000000-113−30000000000000
χ382222-2-2-2-22-1222-11-21-2-2-1-111-22-2-100-1-1-1111133−3−3-2-22202-2-11-1-111003−30033−3−333−3−3-220000000011-1-1−3−3330000001-1−330000000000000
χ392222-2-2-2-22-1222-11-21-2-2-1-111-22-2-100-1-1-11111−3−33322-2-202-2-11-1-11100−3300−3−333−3−3332-200000000-1-111−3−333000000-11−330000000000000
χ402222-2-2-2-22-1222-11-21-2-2-1-111-22-2-100-1-1-11111−3−333-2-22202-2-11-1-11100−3300−3−333−3−333-220000000011-1-133−3−30000001-13−30000000000000
χ412222-2-2-2-22-1222-11-21-2-2-1-111-2-22-100-1-1-1111133−3−322-2-20-221-111-1-100−330033−3−3−3−333-2200000000-1-11133−3−30000001-1−330000000000000
χ422222-2-2-2-22-1222-11-21-2-2-1-111-2-22-100-1-1-1111133−3−3-2-2220-221-111-1-100−330033−3−3−3−3332-20000000011-1-1−3−333000000-113−30000000000000
χ432222-2-2-2-22-1222-11-21-2-2-1-111-2-22-100-1-1-11111−3−33322-2-20-221-111-1-1003−300−3−33333−3−3-2200000000-1-111−3−3330000001-13−30000000000000
χ442222-2-2-2-22-1222-11-21-2-2-1-111-2-22-100-1-1-11111−3−333-2-2220-221-111-1-1003−300−3−33333−3−32-20000000011-1-133−3−3000000-11−330000000000000
χ4522-2-22-22-2222-2-222-2-22-2-2-2-222002002-2-22-22-200002i−2i2i−2i000000000000000000000000000002-2002i−2i2i−2i0000000000000000002-200002i−2i0
χ4622-2-22-22-2222-2-222-2-22-2-2-2-222002002-2-22-22-200002i−2i2i−2i00000000000000000000000000000-22002i−2i2i−2i000000000000000000-220000−2i2i0
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χ4922-2-2-22-22222-2-22-222-22-2-22-2-2002002-2-2-22-2200002i−2i−2i2i00000000000000000000000002i−2i0000002i−2i−2i2i000022-2-20000002i−2i00000000000
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χ964-4-4444-4-444-4-44-44444-4-44-4-4-400400-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-44-2-4-442-24-24-42-222-400-20022-2-222-200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ984-4-4444-4-44-2-4-442-24-24-42-222-400-20022-2-222-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ994-4-4444-4-4-2422-2-44-24-22-44-4-4200-20022-2-222-2000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1004-4-4444-4-4-2422-2-44-24-22-44-4-4200-20022-2-222-20000000000000000000000000000000000000000000000000000000000000−2323000000000
χ1014-4-44-4-4444-2-4-4422-42-442-2-2-2400-20022-22-2-22000000000000000000000000000000000004-400000000-22-2200000000000000000000000
χ1024-4-44-4-4444-2-4-4422-42-442-2-2-2400-20022-22-2-2200000000000000000000000000000000000-44000000002-22-200000000000000000000000
χ1034-4-44-4-444-2422-2-4-42-42-2-4444-200-20022-22-2-220000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1044-4-44-4-444-2422-2-4-42-42-2-4444-200-20022-22-2-22000000000000000000000000000000000000000-440000000000000000000000002-200000
χ10588-8-88-88-8-4-4-444-4-444-44444-4-4002002-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44-4-44-444-444002002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8888-8-8-4-444-44-4-4-4-444-444400200-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-444-444444-44-4-4-4-400200-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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