Finite Group Databasebeta

← Group #13170529

Character table — Group #13170529

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222224444444444441212121212121212121212123636224444444444488888888888824242424242424242424242472723366666666666121212121212121212121212363636363636363636363636108108
order12233446612121212366666121212121212246688121224242424223663312126612121212366666121212121212612662424121224242424662226644661212121266666612121212121224668812122424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-11111-1-11111111111111111111111111-1-1-1-111-1-11111-1-11111111111111111111111111-1-1-1-111-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-111-1111-1-1111-1-1-1-11-1111-1-11-1111-1-1-111-1-11-111-111-1111-1-1111-1-1-1-11-1111-1-11-1111-1-1-111-1-11-111-111-1111-1-1111-1-1-1-11-1111-1-11-1111-1-1-111-1-11-1
χ611-111-1111-1-1111-1-1-1-11-1111-1-11-111-11-1-1-1-111-1111-111-1111-1-1111-1-1-1-11-1111-1-11-111-11-1-1-1-111-1111-111-1111-1-1111-1-1-1-11-1111-1-11-111-11-1-1-1-111-11
χ711-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-11-11111-1-1-1111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-11-11111-1-1-1111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-11-11111-1-1-11
χ811-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-1-1111-1-1111-111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-1-1111-1-1111-111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-1-1111-1-1111-1
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χ102222-1222-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-10000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-10000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-1000000
χ112222-1222-1-1-122-12-1-1-1-12-1-1-1-1-1-2-21100110000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-1-2-21100110000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-1-2-2110011000000
χ122222-1-2-22-111-2-2-12-1-1-1-1-21111100−i3i300−i3i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100−i3i300−i3i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100−i3i300−i3i3000000
χ132222-1-2-22-111-2-2-12-1-1-1-1-21111100i3−i300i3−i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100i3−i300i3−i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100i3−i300i3−i3000000
χ14222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-100
χ15222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-200111100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-200111100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-200111100
χ16222-12-2-2-12-2-211-1-12-1-1-11-21111000000003−33−300222-12-2-2-12-2-211-1-12-1-1-11-21111000000003−33−300222-12-2-2-12-2-211-1-12-1-1-11-21111000000003−33−300
χ17222-12-2-2-12-2-211-1-12-1-1-11-2111100000000−33−3300222-12-2-2-12-2-211-1-12-1-1-11-2111100000000−33−3300222-12-2-2-12-2-211-1-12-1-1-11-2111100000000−33−3300
χ1822-2222-22222-2-22-2-2-2-222-2-2-2220000000000000022-2222-22222-2-22-2-2-2-222-2-2-2220000000000000022-2222-22222-2-22-2-2-2-222-2-2-22200000000000000
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χ2122-22-1-222-11122-1-2111-1-2-1-1-1112-2-1-1001100000022-22-1-222-11122-1-2111-1-2-1-1-1112-2-1-1001100000022-22-1-222-11122-1-2111-1-2-1-1-1112-2-1-10011000000
χ2222-22-1-222-11122-1-2111-1-2-1-1-111-221100-1-100000022-22-1-222-11122-1-2111-1-2-1-1-111-221100-1-100000022-22-1-222-11122-1-2111-1-2-1-1-111-221100-1-1000000
χ2322-2-122-2-122211-11-211-1-1-211-1-1000000003−3−330022-2-122-2-122211-11-211-1-1-211-1-1000000003−3−330022-2-122-2-122211-11-211-1-1-211-1-1000000003−3−3300
χ2422-2-122-2-122211-11-211-1-1-211-1-100000000−333−30022-2-122-2-122211-11-211-1-1-211-1-100000000−333−30022-2-122-2-122211-11-211-1-1-211-1-100000000−333−300
χ2522-2-12-22-12-2-2-1-1-11-211-112-1-11100002-200-1-1110022-2-12-22-12-2-2-1-1-11-211-112-1-11100002-200-1-1110022-2-12-22-12-2-2-1-1-11-211-112-1-11100002-200-1-11100
χ2622-2-12-22-12-2-2-1-1-11-211-112-1-1110000-220011-1-10022-2-12-22-12-2-2-1-1-11-211-112-1-1110000-220011-1-10022-2-12-22-12-2-2-1-1-11-211-112-1-1110000-220011-1-100
χ27444-2-244-2-2-2-2-2-21-2-2111-2-2111100000000000000444-2-244-2-2-2-2-2-21-2-2111-2-2111100000000000000444-2-244-2-2-2-2-2-21-2-2111-2-2111100000000000000
χ28444-2-2-4-4-2-222221-2-211122-1-1-1-100000000000000444-2-2-4-4-2-222221-2-211122-1-1-1-100000000000000444-2-2-4-4-2-222221-2-211122-1-1-1-100000000000000
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χ344-40-24002-40023−23-2000020023−2300000000000000004-40-24002-40023−23-2000020023−2300000000000000004-40-24002-40023−23-2000020023−230000000000000000
χ354-40-24002-400−2323-20000200−232300000000000000004-40-24002-400−2323-20000200−232300000000000000004-40-24002-400−2323-20000200−23230000000000000000
χ364-40-2-2002223−2323−231003-3-100−33−33000000000000004-40-2-2002223−2323−231003-3-100−33−33000000000000004-40-2-2002223−2323−231003-3-100−33−3300000000000000
χ374-40-2-2002223−23−2323100-33-1003−3−33000000000000004-40-2-2002223−23−2323100-33-1003−3−33000000000000004-40-2-2002223−23−2323100-33-1003−3−3300000000000000
χ384-40-2-20022−232323−23100-33-100−333−3000000000000004-40-2-20022−232323−23100-33-100−333−3000000000000004-40-2-20022−232323−23100-33-100−333−300000000000000
χ394-40-2-20022−2323−23231003-3-1003−33−3000000000000004-40-2-20022−2323−23231003-3-1003−33−3000000000000004-40-2-20022−2323−23231003-3-1003−33−300000000000000
χ40111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ421111111111111111111111111-1-1-1-111-1-11111-1-11111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ431111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ4411-111-1111-1-1111-1-1-1-11-1111-1-11-1111-1-1-111-1-11-111-111-1111-1-1111-1-1-1-11-1111-1-11-1111-1-1-111-1-11-1-1-11-1-11-1-1-111-1-1-11111-11-1-1-111-11-1-1-1111-1-111-11
χ4511-111-1111-1-1111-1-1-1-11-1111-1-11-111-11-1-1-1-111-1111-111-1111-1-1111-1-1-1-11-1111-1-11-111-11-1-1-1-111-11-1-11-1-11-1-1-111-1-1-11111-11-1-1-111-11-1-11-11111-1-11-1
χ4611-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-11-11111-1-1-1111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-11-11111-1-1-11-1-11-1-11-1-1-111-1-1-11111-11-1-1-1111-111-11-1-1-1-1111-1
χ4711-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-1-1111-1-1111-111-111-1111-1-1111-1-1-1-11-1111-1-1-11-1-1-1111-1-1111-1-1-11-1-11-1-1-111-1-1-11111-11-1-1-1111-1111-1-1-111-1-1-11
χ4822222-2-222-2-2-2-2222222-2-2-2-2-2-20000000000000022222-2-222-2-2-2-2222222-2-2-2-2-2-200000000000000-2-2-2-2-222-2-22222-2-2-2-2-2-222222200000000000000
χ492222-1222-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-10000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-1000000-2-2-2-21-2-2-2111-2-21-21111-211111-2-2110011000000
χ502222-1222-1-1-122-12-1-1-1-12-1-1-1-1-1-2-21100110000002222-1222-1-1-122-12-1-1-1-12-1-1-1-1-1-2-2110011000000-2-2-2-21-2-2-2111-2-21-21111-21111122-1-100-1-1000000
χ512222-1-2-22-111-2-2-12-1-1-1-1-21111100−i3i300−i3i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100−i3i300−i3i3000000-2-2-2-2122-21-1-1221-211112-1-1-1-1-100i3−i300i3−i3000000
χ522222-1-2-22-111-2-2-12-1-1-1-1-21111100i3−i300i3−i30000002222-1-2-22-111-2-2-12-1-1-1-1-21111100i3−i300i3−i3000000-2-2-2-2122-21-1-1221-211112-1-1-1-1-100−i3i300−i3i3000000
χ53222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-100-2-2-21-2-2-21-2-2-21111-21111-211110000-2-200111100
χ54222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-200111100222-1222-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-200111100-2-2-21-2-2-21-2-2-21111-21111-2111100002200-1-1-1-100
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χ56222-12-2-2-12-2-211-1-12-1-1-11-2111100000000−33−3300222-12-2-2-12-2-211-1-12-1-1-11-2111100000000−33−3300-2-2-21-2221-222-1-111-2111-12-1-1-1-1000000003−33−300
χ5722-2222-22222-2-22-2-2-2-222-2-2-2220000000000000022-2222-22222-2-22-2-2-2-222-2-2-22200000000000000-2-22-2-2-22-2-2-2-222-22222-2-2222-2-200000000000000
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χ5922-22-12-22-1-1-1-2-2-1-2111-12111-1-100i3−i300−i3i300000022-22-12-22-1-1-1-2-2-1-2111-12111-1-100i3−i300−i3i3000000-2-22-21-22-21112212-1-1-11-2-1-1-11100−i3i300i3−i3000000
χ6022-22-1-222-11122-1-2111-1-2-1-1-1112-2-1-1001100000022-22-1-222-11122-1-2111-1-2-1-1-1112-2-1-10011000000-2-22-212-2-21-1-1-2-212-1-1-112111-1-1-221100-1-1000000
χ6122-22-1-222-11122-1-2111-1-2-1-1-111-221100-1-100000022-22-1-222-11122-1-2111-1-2-1-1-111-221100-1-1000000-2-22-212-2-21-1-1-2-212-1-1-112111-1-12-2-1-10011000000
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χ6322-2-122-2-122211-11-211-1-1-211-1-100000000−333−30022-2-122-2-122211-11-211-1-1-211-1-100000000−333−300-2-221-2-221-2-2-2-1-11-12-1-1112-1-111000000003−3−3300
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χ79222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ8022222222222222222222222222222-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111000000000000000000000000000000000000000
χ812222222222222222222222222-2-2-2-222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111000000000000000000000000000000000000000
χ822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1000000000000000000000000000000000000000
χ8322-222-2222-2-2222-2-2-2-22-2222-2-22-2222-2-2-222-2-22-2-1-11-1-11-1-1-111-1-1-11111-11-1-1-111-11-1-1-1111-1-111-11000000000000000000000000000000000000000
χ8422-222-2222-2-2222-2-2-2-22-2222-2-22-222-22-2-2-2-222-22-1-11-1-11-1-1-111-1-1-11111-11-1-1-111-11-1-11-11111-1-11-1000000000000000000000000000000000000000
χ8522-222-2222-2-2222-2-2-2-22-2222-2-2-22-2-22-22222-2-2-22-1-11-1-11-1-1-111-1-1-11111-11-1-1-1111-111-11-1-1-1-1111-1000000000000000000000000000000000000000
χ8622-222-2222-2-2222-2-2-2-22-2222-2-2-22-2-2-2222-2-2222-2-1-11-1-11-1-1-111-1-1-11111-11-1-1-1111-1111-1-1-111-1-1-11000000000000000000000000000000000000000
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χ884444-2444-2-2-244-24-2-2-2-24-2-2-2-2-244-2-200-2-2000000-2-2-2-21-2-2-2111-2-21-21111-211111-2-2110011000000000000000000000000000000000000000000000
χ894444-2444-2-2-244-24-2-2-2-24-2-2-2-2-2-4-4220022000000-2-2-2-21-2-2-2111-2-21-21111-21111122-1-100-1-1000000000000000000000000000000000000000000000
χ904444-2-4-44-222-4-4-24-2-2-2-2-42222200−2i32i300−2i32i3000000-2-2-2-2122-21-1-1221-211112-1-1-1-1-100i3−i300i3−i3000000000000000000000000000000000000000000000
χ914444-2-4-44-222-4-4-24-2-2-2-2-422222002i3−2i3002i3−2i3000000-2-2-2-2122-21-1-1221-211112-1-1-1-1-100−i3i300−i3i3000000000000000000000000000000000000000000000
χ92444-2444-2444-2-2-2-24-2-2-2-24-2-2-2-200004400-2-2-2-200-2-2-21-2-2-21-2-2-21111-21111-211110000-2-200111100000000000000000000000000000000000000000
χ93444-2444-2444-2-2-2-24-2-2-2-24-2-2-2-20000-4-400222200-2-2-21-2-2-21-2-2-21111-21111-2111100002200-1-1-1-100000000000000000000000000000000000000000
χ94444-24-4-4-24-4-422-2-24-2-2-22-422220000000023−2323−2300-2-2-21-2221-222-1-111-2111-12-1-1-1-100000000−33−3300000000000000000000000000000000000000000
χ95444-24-4-4-24-4-422-2-24-2-2-22-4222200000000−2323−232300-2-2-21-2221-222-1-111-2111-12-1-1-1-1000000003−33−300000000000000000000000000000000000000000
χ9644-4444-44444-4-44-4-4-4-444-4-4-44400000000000000-2-22-2-2-22-2-2-2-222-22222-2-2222-2-200000000000000000000000000000000000000000000000000000
χ9744-44-24-44-2-2-2-4-4-2-4222-24222-2-200−2i32i3002i3−2i3000000-2-22-21-22-21112212-1-1-11-2-1-1-11100i3−i300−i3i3000000000000000000000000000000000000000000000
χ9844-44-24-44-2-2-2-4-4-2-4222-24222-2-2002i3−2i300−2i32i3000000-2-22-21-22-21112212-1-1-11-2-1-1-11100−i3i300i3−i3000000000000000000000000000000000000000000000
χ9944-44-2-444-22244-2-4222-2-4-2-2-2224-4-2-20022000000-2-22-212-2-21-1-1-2-212-1-1-112111-1-1-221100-1-1000000000000000000000000000000000000000000000
χ10044-44-2-444-22244-2-4222-2-4-2-2-222-442200-2-2000000-2-22-212-2-21-1-1-2-212-1-1-112111-1-12-2-1-10011000000000000000000000000000000000000000000000
χ10144-4-244-4-244422-22-422-2-2-422-2-20000000023−23−232300-2-221-2-221-2-2-2-1-11-12-1-1112-1-11100000000−333−300000000000000000000000000000000000000000
χ10244-4-244-4-244422-22-422-2-2-422-2-200000000−232323−2300-2-221-2-221-2-2-2-1-11-12-1-1112-1-111000000003−3−3300000000000000000000000000000000000000000
χ10344-4-24-44-24-4-4-2-2-22-422-224-2-22200004-400-2-22200-2-221-22-21-222111-12-1-11-1-211-1-10000-220011-1-100000000000000000000000000000000000000000
χ10444-4-24-44-24-4-4-2-2-22-422-224-2-2220000-440022-2-200-2-221-22-21-222111-12-1-11-1-211-1-100002-200-1-11100000000000000000000000000000000000000000
χ105888-4-488-4-4-4-4-4-42-4-4222-4-4222200000000000000-4-4-422-4-4222222-122-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000
χ106888-4-4-8-8-4-444442-4-422244-2-2-2-200000000000000-4-4-4224422-2-2-2-2-122-1-1-1-2-2111100000000000000000000000000000000000000000000000000000
χ10788-8-4-48-8-4-4-4-444244-2-22-44-2-22200000000000000-4-4422-442222-2-2-1-2-211-12-211-1-100000000000000000000000000000000000000000000000000000
χ10888-8-4-4-88-4-444-4-4244-2-224-422-2-200000000000000-4-44224-422-2-222-1-2-211-1-22-1-11100000000000000000000000000000000000000000000000000000
χ1098-808800-8-8000080000-800000000000000000000-440-4-400440000-40000400000000000000000000000000000000000000000000000000000000000
χ1108-808-400-8443−4300-400004000043−4300000000000000-440-42004-2−23230020000-20000−232300000000000000000000000000000000000000000000000000000
χ1118-808-400-84−434300-4000040000−434300000000000000-440-42004-223−230020000-2000023−2300000000000000000000000000000000000000000000000000000
χ1128-80-48004-80043−43-4000040043−430000000000000000-4402-400-2400−232320000-200−23230000000000000000000000000000000000000000000000000000000
χ1138-80-48004-800−4343-40000400−43430000000000000000-4402-400-240023−2320000-20023−230000000000000000000000000000000000000000000000000000000
χ1148-80-4-4004443−4343−432006-6-200−2323−232300000000000000-4402200-2-2−2323−2323-100-331003−33−300000000000000000000000000000000000000000000000000000
χ1158-80-4-4004443−43−4343200-66-20023−23−232300000000000000-4402200-2-2−232323−23-1003-3100−333−300000000000000000000000000000000000000000000000000000
χ1168-80-4-40044−434343−43200-66-200−232323−2300000000000000-4402200-2-223−23−2323-1003-31003−3−3300000000000000000000000000000000000000000000000000000
χ1178-80-4-40044−4343−43432006-6-20023−2323−2300000000000000-4402200-2-223−2323−23-100-33100−33−3300000000000000000000000000000000000000000000000000000

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