Finite Group Databasebeta

← Group #13169427

Character table — Group #13169427

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666333466666666612124444443666121212121212121212121212444444412121212121212121212121212121212444412121212121212121212121212121212121212124441212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-111111-1-11111-1-111-1-1-1-111-1-1-1-1111-11111-1-11111-1-1-11-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-1111111-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-11111-1-1111-1-1-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-1111111111111-1-1-1-11111-11-11-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-11-1-1-111-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-111111-111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-11-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111111-11111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1111111-1-1-1-11-111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-111-1-111-1-111-1-1-1-1-11111-1-1-1-11
χ17222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-1222202200002222-1-1-1-1-1-1-1-10000-1-1-1-1020200-1-1-1-100-1-1-1-1002-1-1000000000
χ18222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-220000-2-222-1-111-1-11100001111020-200-1-11100-1-11100-211000000000
χ19222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-2000022-2-211-1-111-1-1000011110-2020011-1-10011-1-100-211000000000
χ20222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-122220-2-20000-2-2-2-2111111110000-1-1-1-10-20-2001111001111002-1-1000000000
χ21222222-12222-1-1-1222-1-1-22-1-12-1-12-1-111002222-1-1-1-1-2-2-2-21111111122220-2-200002222-1-11111-1-10000-1-1-1-10-20-20011-1-100-1-11100-211000000000
χ22222222-12222-1-1-1222-1-1-22-1-12-1-12-1-1110022-2-2-1-1-1-1-2-2-2-211111111-2-2-2-202-20000-2-222-1-1-1-11111000011110-20200111100-1-1-1-1002-1-1000000000
χ23222222-12222-1-1-1222-1-1-22-1-12-1-12-1-11100-2-222-1-1-1-1-2-2-2-211111111-2-2-2-20-22000022-2-21111-1-1-1-100001111020-200-1-1-1-1001111002-1-1000000000
χ24222222-12222-1-1-1222-1-1-22-1-12-1-12-1-11100-2-2-2-2-1-1-1-1-2-2-2-21111111122220220000-2-2-2-211-1-1-1-1110000-1-1-1-1020200-1-1110011-1-100-211000000000
χ2522222-1222-1-1222-12-12-12-12-1-12-1-12-122222200-1-1-1-1-12-1-122-1-1-1-1-1-1000020222-1-100-1-12200220000220000-1-120-1-1-1-100-1-1-1-10002000-1-10000-100
χ2622222-1222-1-1222-12-12-12-12-1-12-1-12-12222-2-200-1-1-1-1-12-1-122-1-1-1-1-1-1000020-222-1-10011-2-200-2-20000-2-20000-1120-1-11100-1-111000-2000110000100
χ2722222-1222-1-1222-12-12-12-12-1-12-1-12-122-2-22200-1-1-1-1-12-1-122-1-1-1-1-1-10000-202-2-21100-1-12200220000-2-200001-1-2011-1-10011-1-1000-2000110000100
χ2822222-1222-1-1222-12-12-12-12-1-12-1-12-122-2-2-2-200-1-1-1-1-12-1-122-1-1-1-1-1-10000-20-2-2-2110011-2-200-2-2000022000011-2011110011110002000-1-10000-100
χ2922222-1222-1-1222-12-12-1-2-12-1-12-1-12-1-2-2222200-1-1-1-11-211-2-21111110000-20-222-1-100-1-12200-2-2000022000011-20-1-1110011-1-1000-2000-1-10000100
χ3022222-1222-1-1222-12-12-1-2-12-1-12-1-12-1-2-222-2-200-1-1-1-11-211-2-21111110000-20222-1-10011-2-200220000-2-200001-1-20-1-1-1-10011110002000110000-100
χ3122222-1222-1-1222-12-12-1-2-12-1-12-1-12-1-2-2-2-22200-1-1-1-11-211-2-2111111000020-2-2-21100-1-12200-2-20000-2-20000-1120111100-1-1-1-10002000110000-100
χ3222222-1222-1-1222-12-12-1-2-12-1-12-1-12-1-2-2-2-2-2-200-1-1-1-11-211-2-21111110000202-2-2110011-2-200220000220000-1-12011-1-100-1-111000-2000-1-10000100
χ332222-122-1-1222222-1-1-122-1-12-1-12-1-1222220022-1-1-1-12-1-1-1-1-122-1-1-1-10000220-1-122-1-100002200222200000020-1-1-1-100-1-1-1-100-1-12000000-1-1000-10
χ342222-122-1-1222222-1-1-122-1-12-1-12-1-12222200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-100002-20-1-122110000-2-200-2-2-2-200000020-11-1-10011-1-10011-20000001100010
χ352222-122-1-1222222-1-1-122-1-12-1-12-1-1222-2-20022-1-1-1-12-1-1-1-1-122-1-1-1-10000-22011-2-2-1-10000220022-2-2000000-201-11100-1-11100-1-1-20000001100010
χ362222-122-1-1222222-1-1-122-1-12-1-12-1-1222-2-200-2-2-1-1-1-12-1-1-1-1-122-1-1-1-10000-2-2011-2-2110000-2-200-2-222000000-20111100111100112000000-1-1000-10
χ372222-122-1-1222222-1-1-12-2-1-12-1-12-1-12-2-2220022-1-1-1-1-211111-2-211110000-2-20-1-122-1-10000-2-2002222000000-2011-1-100-1-1110011-2000000-1-100010
χ382222-122-1-1222222-1-1-12-2-1-12-1-12-1-12-2-22200-2-2-1-1-1-1-211111-2-211110000-220-1-1221100002200-2-2-2-2000000-201-1-1-100111100-1-1200000011000-10
χ392222-122-1-1222222-1-1-12-2-1-12-1-12-1-12-2-2-2-20022-1-1-1-1-211111-2-2111100002-2011-2-2-1-10000-2-20022-2-200000020-111100-1-1-1-10011200000011000-10
χ402222-122-1-1222222-1-1-12-2-1-12-1-12-1-12-2-2-2-200-2-2-1-1-1-1-211111-2-21111000022011-2-21100002200-2-22200000020-1-1110011-1-100-1-1-2000000-1-100010
χ4122-2-22222-22-2-22-2-2-22220-2222-2-2-2-2-2002-2000022-2-200000000000022-2-20002-22-2000000000000000022-2-200002-200000000000000000002-2000
χ4222-2-22222-22-2-22-2-2-22220-2222-2-2-2-2-2002-2000022-2-2000000000000-2-2220002-22-20000000000000000-2-22200002-20000000000000000000-22000
χ4322-2-22222-22-2-22-2-2-22220-2222-2-2-2-2-200-22000022-2-200000000000022-2-2000-22-22000000000000000022-2-20000-220000000000000000000-22000
χ4422-2-22222-22-2-22-2-2-22220-2222-2-2-2-2-200-22000022-2-2000000000000-2-222000-22-220000000000000000-2-2220000-2200000000000000000002-2000
χ452-22-2222-2-2-222-2-2-222220-2-2-2-2-2-2222000000002-2-220000000000002i−2i2i−2i00000000000000000002-22i−2i2i−2i2i−2i0000000000000000000002i−2i2-200000
χ462-22-2222-2-2-222-2-2-222220-2-2-2-2-2-2222000000002-2-220000000000002i−2i2i−2i0000000000000000000-22−2i2i2i−2i2i−2i000000000000000000000−2i2i-2200000
χ472-22-2222-2-2-222-2-2-222220-2-2-2-2-2-2222000000002-2-22000000000000−2i2i−2i2i00000000000000000002-2−2i2i−2i2i−2i2i000000000000000000000−2i2i2-200000
χ482-22-2222-2-2-222-2-2-222220-2-2-2-2-2-2222000000002-2-22000000000000−2i2i−2i2i0000000000000000000-222i−2i−2i2i−2i2i0000000000000000000002i−2i-2200000
χ492-2-22222-22-2-2-2-222-222202-2-2-222-2-2-200002i−2i2-22-22-20000000000002i−2i−2i2i00000002-22i−2i2i−2i00002-200002i−2i−2i2i000000002-2002i−2i0000000000000000
χ502-2-22222-22-2-2-2-222-222202-2-2-222-2-2-200002i−2i-222-22-2000000000000−2i2i2i−2i0000000-222i−2i2i−2i0000-220000−2i2i2i−2i00000000-22002i−2i0000000000000000
χ512-2-22222-22-2-2-2-222-222202-2-2-222-2-2-20000−2i2i2-22-22-2000000000000−2i2i2i−2i00000002-2−2i2i−2i2i00002-20000−2i2i2i−2i000000002-200−2i2i0000000000000000
χ522-2-22222-22-2-2-2-222-222202-2-2-222-2-2-20000−2i2i-222-22-20000000000002i−2i−2i2i0000000-22−2i2i−2i2i0000-2200002i−2i−2i2i00000000-2200−2i2i0000000000000000
χ532-2-2222-1-22-2-211-12-22-1-10211-2-1-1-2113−3002i−2i2-2-11-1100003−33−333−3−32i−2i−2i2i00000002-22i−2i−ii3−3−i3i3-110000−iii−i000000−i3i3-1100−ii3−3000−i3i3000000000
χ542-2-2222-1-22-2-211-12-22-1-10211-2-1-1-2113−3002i−2i-22-11-1100003−33−333−3−3−2i2i2i−2i0000000-222i−2i−ii−33−i3i31-10000i−i−ii000000−i3i31-100−ii−33000i3−i3000000000
χ552-2-2222-1-22-2-211-12-22-1-10211-2-1-1-2113−300−2i2i2-2-11-1100003−33−333−3−3−2i2i2i−2i00000002-2−2i2ii−i3−3i3−i3-110000i−i−ii000000i3−i3-1100i−i3−3000i3−i3000000000
χ562-2-2222-1-22-2-211-12-22-1-10211-2-1-1-2113−300−2i2i-22-11-1100003−33−333−3−32i−2i−2i2i0000000-22−2i2ii−i−33i3−i31-10000−iii−i000000i3−i31-100i−i−33000−i3i3000000000
χ572-2-2222-1-22-2-211-12-22-1-10211-2-1-1-211−33002i−2i2-2-11-110000−33−33−3−3332i−2i−2i2i00000002-22i−2i−ii−33i3−i3-110000−iii−i000000i3−i3-1100−ii−33000i3−i3000000000
χ582-2-2222-1-22-2-211-12-22-1-10211-2-1-1-211−33002i−2i-22-11-110000−33−33−3−333−2i2i2i−2i0000000-222i−2i−ii3−3i3−i31-10000i−i−ii000000i3−i31-100−ii3−3000−i3i3000000000
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χ602-2-2222-1-22-2-211-12-22-1-10211-2-1-1-211−3300−2i2i-22-11-110000−33−33−3−3332i−2i−2i2i0000000-22−2i2ii−i3−3−i3i31-10000−iii−i000000−i3i31-100i−i3−3000i3−i3000000000
χ6144444-2-244-2-2-2-2-2-24-2-214-2-21-2-21-2-21-2-20044001111-24-2-2-2-21111110000004000000-2-2-2-200-2-200000000000-20000110000110000000000000000
χ6244444-2-244-2-2-2-2-2-24-2-214-2-21-2-21-2-21-2-200-4-4001111-24-2-2-2-2111111000000-4000000222200220000000000020000-1-10000-1-10000000000000000
χ6344444-2-244-2-2-2-2-2-24-2-21-4-2-21-2-21-2-212200440011112-42222-1-1-1-1-1-1000000-4000000-2-2-2-200220000000000020000-1-10000110000000000000000
χ6444444-2-244-2-2-2-2-2-24-2-21-4-2-21-2-21-2-212200-4-40011112-42222-1-1-1-1-1-10000004000000222200-2-200000000000-20000110000-1-10000000000000000
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χ664444-24-2-2-244-2-2-24-2-21-24-21-2-21-2-21-2-2-20000-4-411114-2-2-211-2-2111100000-4000002200002200220000000000020000-1-10000-1-100000000000000
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χ684444-24-2-2-244-2-2-24-2-21-2-4-21-2-21-2-21-2220000-4-41111-4222-1-122-1-1-1-100000400000220000-2-2002200000000000-20000-1-100001100000000000000
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χ8144-4-4-2-24-22-22-44-4221-2-20-1-2-2122-12200-44000011-1-1003i−3i00003i−3i3i−3i00000002-22-2000000000000000000000000-110000−3i3i000000000000000000
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χ864-44-44-24-4-42-24-4-424-24-202-422-42-24-200000000-222-20000000000000000000000000000000000000−4i4i00000000000000000000000002i−2i0000000
χ874-44-4-24422-444-4-4-4-2-2-24022-422-4-2-2400000000-222-2000000000000000000000000000000000004-400000000000000000000000000000-2200000
χ884-44-4-24422-444-4-4-4-2-2-24022-422-4-2-2400000000-222-200000000000000000000000000000000000-44000000000000000000000000000002-200000
χ894-4-444-24-4422-4-44-2-4-24-20-2-4224-22-4200004i−4i00-22-220000000000000000000000000−2i2i4i−4i00000000000000000000000000−2i2i0000000000000000
χ904-4-444-24-4422-4-44-2-4-24-20-2-4224-22-420000−4i4i00-22-2200000000000000000000000002i−2i−4i4i000000000000000000000000002i−2i0000000000000000
χ914-4-444-2-2-442222-2-2-4-2-210-22-12-2122-123−23004i−4i001-11-1000023−23−33−3−3330000000000000−2i2i−2i2i00−2i32i30000000000000000i3−i30000i−i0000000000000000
χ924-4-444-2-2-442222-2-2-4-2-210-22-12-2122-123−2300−4i4i001-11-1000023−23−33−3−33300000000000002i−2i2i−2i002i3−2i30000000000000000−i3i30000−ii0000000000000000
χ934-4-444-2-2-442222-2-2-4-2-210-22-12-2122-1−2323004i−4i001-11-10000−23233−333−3−30000000000000−2i2i−2i2i002i3−2i30000000000000000−i3i30000i−i0000000000000000
χ944-4-444-2-2-442222-2-2-4-2-210-22-12-2122-1−232300−4i4i001-11-10000−23233−333−3−300000000000002i−2i2i−2i00−2i32i30000000000000000i3−i30000−ii0000000000000000
χ954-4-44-2442-2-4-4-4-4442-2-240-22-42-2422-40000004-4-22-2200000000000000000000000-22000000004-40000000000000000-2200000000000000000000
χ964-4-44-2442-2-4-4-4-4442-2-240-22-42-2422-4000000-44-22-22000000000000000000000002-200000000-4400000000000000002-200000000000000000000
χ974-4-44-24-22-2-4-422-242-21-20-2-1221-22-1223−2300004-41-11-10000−3323−23−3−33300000000000-22000023−2300-2200000000000000001-10000−3300000000000000
χ984-4-44-24-22-2-4-422-242-21-20-2-1221-22-1223−230000-441-11-10000−3323−23−3−333000000000002-20000−2323002-20000000000000000-1100003−300000000000000
χ994-4-44-24-22-2-4-422-242-21-20-2-1221-22-12−232300004-41-11-100003−3−232333−3−300000000000-220000−232300-2200000000000000001-100003−300000000000000
χ1004-4-44-24-22-2-4-422-242-21-20-2-1221-22-12−23230000-441-11-100003−3−232333−3−3000000000002-2000023−23002-20000000000000000-110000−3300000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-48-8-444-444-8-4-4204-42-44-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-448-84-44-84-42-4042-4-4-244-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-44-444-44442220-2222-2-2-2-2-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44-444-44442220-2222-2-2-2-2-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-8-84-4-44448-4-42044-244-2-4-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-444-88-444-8-4-42-404-244-24-42-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48444-48-8-84-42-4-40-244-2442-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-4-4444-42220-2-2-2-2-2-222200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-4-4444-42220-2-2-2-2-2-222200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-444-8-88-442-4-40244-2-4-4-244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-44444-4-4422202-2-2-222-2-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-44444-4-4422202-2-2-222-2-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000

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