Finite Group Databasebeta

← Group #11794259

Character table — Group #11794259

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order12222233444466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244448888121212121212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
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χ112222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200220000-1-1-1-10000-1-1-1-10000
χ122222222-122222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-200001111000011110000
χ132222222-122222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111020200-2-20000-1-1-1-1000011110000
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χ17222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112020-2-200-1-1-1-10000111100000000
χ18222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-20-20220011110000-1-1-1-100000000
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χ4322-2-2-222222-2-222-2-2-2-22222-2-2-2-2222-2-2-2-2-2-2-2-222222-222-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000
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χ844-44-4004-20000-424-4-2200−232300−2323-2-22-2200-22000020000000000−2323−2323-22-22-22-221+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31+3−1−31+3−1−31−3−1+31−3−1+31−3−1+31−3−1+30000000000000000000000000000
χ854-44-400-2400002-4-224-423−230023−2300-22-22-200-220000200000023−2323−230000−1+31−3−1+31−3−1−31+3−1−31+32-22-22-22-2−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000
χ864-44-400-2400002-4-224-423−230023−2300-2-22-2200-220000200000023−2323−2300001−3−1+31−3−1+31+3−1−31+3−1−3-22-22-22-221−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000
χ874-44-400-2400002-4-224-4−232300−232300-22-22-200-2200002000000−2323−23230000−1−31+3−1−31+3−1+31−3−1+31−32-22-22-22-2−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000
χ884-44-400-2400002-4-224-4−232300−232300-2-22-2200-2200002000000−2323−232300001+3−1−31+3−1−31−3−1+31−3−1+3-22-22-22-221+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000
χ894-44-400-2-2000022-22-2223−2323−2323−2323−2312-22-2001-13-300-13-30000−33−33−33−33−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+32−3−2+32−3−2+3-11-11-11-112+3−2−32+3−2−30000000000000000000000000000
χ904-44-400-2-2000022-22-2223−2323−2323−2323−231-22-22001-13-300-13-30000−33−33−33−331−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−3−2+32−3−2+32−31-11-11-11-1−2−32+3−2−32+30000000000000000000000000000
χ914-44-400-2-2000022-22-2223−23−232323−23−232312-22-2001-1-3300-1-330000−33−333−33−3−1+31−3−1+31−3−1−31+3−1−31+3−1−31+3−1−31+3−1+31−3−1+31−3-11-112+3−2−32+3−2−32−3−2+32−3−2+3-11-110000000000000000000000000000
χ924-44-400-2-2000022-22-2223−23−232323−23−23231-22-22001-1-3300-1-330000−33−333−33−31−3−1+31−3−1+31+3−1−31+3−1−31+3−1−31+3−1−31−3−1+31−3−1+31-11-1−2−32+3−2−32+3−2+32−3−2+32−31-11-10000000000000000000000000000
χ934-44-400-2-2000022-22-22−232323−23−232323−2312-22-2001-1-3300-1-3300003−33−3−33−33−1−31+3−1−31+3−1+31−3−1+31−3−1+31−3−1+31−3−1−31+3−1−31+3-11-112−3−2+32−3−2+32+3−2−32+3−2−3-11-110000000000000000000000000000
χ944-44-400-2-2000022-22-22−232323−23−232323−231-22-22001-1-3300-1-3300003−33−3−33−331+3−1−31+3−1−31−3−1+31−3−1+31−3−1+31−3−1+31+3−1−31+3−1−31-11-1−2+32−3−2+32−3−2−32+3−2−32+31-11-10000000000000000000000000000
χ954-44-400-2-2000022-22-22−2323−2323−2323−232312-22-2001-13-300-13-300003−33−33−33−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−32+3−2−32+3−2−3-11-11-11-112−3−2+32−3−2+30000000000000000000000000000
χ964-44-400-2-2000022-22-22−2323−2323−2323−23231-22-22001-13-300-13-300003−33−33−33−31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+3−2−32+3−2−32+31-11-11-11-1−2+32−3−2+32−30000000000000000000000000000
χ974-4-4400440000-4-4-44-440000000042-2-2200-440000-4000000000000002-2-22-222-22-2-22-222-22-2-222-2-22-222-2-222-20000000000000000000000000000
χ984-4-4400440000-4-4-44-44000000004-222-200-440000-400000000000000-222-22-2-22-222-22-2-22-222-2-222-22-2-222-2-220000000000000000000000000000
χ994-4-44004-20000-42-442-20023−2300−2323-22-2-22002-2000020000000000−232323−232-2-22-222-2−1+31−31−3−1+31+3−1−3−1−31+3−1+31−31−3−1+3−1+31−31−3−1+31+3−1−3−1−31+31+3−1−3−1−31+30000000000000000000000000000
χ1004-4-44004-20000-42-442-20023−2300−2323-2-222-2002-2000020000000000−232323−23-222-22-2-221−3−1+3−1+31−3−1−31+31+3−1−31−3−1+3−1+31−31−3−1+3−1+31−3−1−31+31+3−1−3−1−31+31+3−1−30000000000000000000000000000
χ1014-4-44004-20000-42-442-200−23230023−23-22-2-22002-200002000000000023−23−23232-2-22-222-2−1−31+31+3−1−31−3−1+3−1+31−3−1−31+31+3−1−3−1−31+31+3−1−31−3−1+3−1+31−31−3−1+3−1+31−30000000000000000000000000000
χ1024-4-44004-20000-42-442-200−23230023−23-2-222-2002-200002000000000023−23−2323-222-22-2-221+3−1−3−1−31+3−1+31−31−3−1+31+3−1−3−1−31+31+3−1−3−1−31+3−1+31−31−3−1+3−1+31−31−3−1+30000000000000000000000000000
χ1034-4-4400-2400002-42-2-4423−2300−232300-22-2-22002-20000200000023−23−23230000−1+31−31−3−1+31+3−1−3−1−31+32-2-22-222-2−1+31−31−3−1+3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000
χ1044-4-4400-2400002-42-2-4423−2300−232300-2-222-2002-20000200000023−23−232300001−3−1+3−1+31−3−1−31+31+3−1−3-222-22-2-221−3−1+3−1+31−31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000
χ1054-4-4400-2400002-42-2-44−23230023−2300-22-2-22002-200002000000−232323−230000−1−31+31+3−1−31−3−1+3−1+31−32-2-22-222-2−1−31+31+3−1−3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000
χ1064-4-4400-2400002-42-2-44−23230023−2300-2-222-2002-200002000000−232323−2300001+3−1−3−1−31+3−1+31−31−3−1+3-222-22-2-221+3−1−3−1−31+31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000
χ1074-4-4400-2-20000222-22-223−2323−23−2323−232312-2-2200-11-3300-13-30000−333−33−3−33−1+31−31−3−1+31+3−1−3−1−31+3−1+31−31−3−1+31+3−1−3−1−31+32−3−2+3−2+32−3-111-11-1-11−2−32+32+3−2−30000000000000000000000000000
χ1084-4-4400-2-20000222-22-223−2323−23−2323−23231-222-200-11-3300-13-30000−333−33−3−331−3−1+3−1+31−3−1−31+31+3−1−31−3−1+3−1+31−3−1−31+31+3−1−3−2+32−32−3−2+31-1-11-111-12+3−2−3−2−32+30000000000000000000000000000
χ1094-4-4400-2-20000222-22-223−23−2323−232323−2312-2-2200-113-300-1-330000−333−3−333−3−1+31−31−3−1+31+3−1−3−1−31+3−1−31+31+3−1−31−3−1+3−1+31−3-111-12+3−2−3−2−32+3−2+32−32−3−2+31-1-110000000000000000000000000000
χ1104-4-4400-2-20000222-22-223−23−2323−232323−231-222-200-113-300-1-330000−333−3−333−31−3−1+3−1+31−3−1−31+31+3−1−31+3−1−3−1−31+3−1+31−31−3−1+31-1-11−2−32+32+3−2−32−3−2+3−2+32−3-111-10000000000000000000000000000
χ1114-4-4400-2-20000222-22-2−232323−2323−23−232312-2-2200-113-300-1-3300003−3−333−3−33−1−31+31+3−1−31−3−1+3−1+31−3−1+31−31−3−1+31+3−1−3−1−31+3-111-12−3−2+3−2+32−3−2−32+32+3−2−31-1-110000000000000000000000000000
χ1124-4-4400-2-20000222-22-2−232323−2323−23−23231-222-200-113-300-1-3300003−3−333−3−331+3−1−3−1−31+3−1+31−31−3−1+31−3−1+3−1+31−3−1−31+31+3−1−31-1-11−2+32−32−3−2+32+3−2−3−2−32+3-111-10000000000000000000000000000
χ1134-4-4400-2-20000222-22-2−2323−232323−2323−2312-2-2200-11-3300-13-300003−3−33−333−3−1−31+31+3−1−31−3−1+3−1+31−3−1−31+31+3−1−31−3−1+3−1+31−32+3−2−3−2−32+3-111-11-1-11−2+32−32−3−2+30000000000000000000000000000
χ1144-4-4400-2-20000222-22-2−2323−232323−2323−231-222-200-11-3300-13-300003−3−33−333−31+3−1−3−1−31+3−1+31−31−3−1+31+3−1−3−1−31+3−1+31−31−3−1+3−2−32+32+3−2−31-1-11-111-12−3−2+3−2+32−30000000000000000000000000000

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