Finite Group Databasebeta

← Group #13169376

Character table — Group #13169376

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212444444121212123666121212121212121212244661212121212121212121212121212121212121212444466612121212121212121224446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111-1-111111111111111-1-111111-1-1-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-11-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111111-1-1-111-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-11-11111-1-1-11-1-1-1-11111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-11-1111-1-111-1-111-1-1-1-111111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-111-1-111-1111-1-1-1-11111-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-11-1-1-1-1111-11-11111-1-1-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11111-1-11-11-11111-1-111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1111-1-11111-1111-1-1-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-1-111-1-1-1-111-1-1-1-111-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-111-11-1-1-1-1111111-11-1-1
χ17222222-12-12-1222-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1200-1-1-1-1220022-1-122-1-1-1-1-1-1-1-100222-1-1000-1-100002000-1-100-1-1000000
χ18222222-12-12-1222-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-20011-1-12200-2-21122-1-1-1-1-1-1-1-100-2-2-211000110000-2000110011000000
χ19222222-12-12-1222-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1200-1-111-2-20022-1-1-2-21111111100-2-22-1-1000-1-10000-2000110011000000
χ20222222-12-12-1222-122-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2001111-2-200-2-211-2-2111111110022-2110001100002000-1-100-1-1000000
χ21222222-12-12-1222-122-1-1-22-12-1-1-1-1-12-2-211111122-2-2221111-1-1-1-1-2-2-2111111-20011-1-1-2-20022-1-122-1-1-1-111110022-211000-1-10000-20001100-1-1000000
χ22222222-12-12-1222-122-1-1-22-12-1-1-1-1-12-2-211111122-2-2-2-21111-1-1-1-1-2-2-2111111200-1-1-1-1-2-200-2-21122-1-1-1-1111100-2-22-1-10001100002000-1-10011000000
χ23222222-12-12-1222-122-1-1-22-12-1-1-1-1-12-2-2111111-2-22222-1-1-1-1-1-1-1-1-2-2-2111111-2001111220022-1-1-2-21111-1-1-1-100-2-2-211000-1-100002000-1-10011000000
χ24222222-12-12-1222-122-1-1-22-12-1-1-1-1-12-2-2111111-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2111111200-1-1112200-2-211-2-21111-1-1-1-100222-1-1000110000-20001100-1-1000000
χ2522222-122222-1-1-122-12-12-1-1-12-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222220000-1-1-1-12200000000002200-1-1-1-122-1-1-1-1-1-1000200-1-10000-1000
χ2622222-122222-1-1-122-12-12-1-1-12-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-222000011-1-1220000000000-2-200-1-1-11-2-2-1-11111000-2001100001000
χ2722222-122222-1-1-122-12-12-1-1-12-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-20000-1-111-2-20000000000-2-200111-12211-1-1-1-1000-2001100001000
χ2822222-122222-1-1-122-12-12-1-1-12-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200001111-2-2000000000022001111-2-2111111000200-1-10000-1000
χ2922222-122222-1-1-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-2-2-20000-1-1-1-1220000000000220011112-2-1-1-1-111000-200-1-100001000
χ3022222-122222-1-1-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22-2-2000011-1-1220000000000-2-200111-1-22-1-111-1-1000200110000-1000
χ3122222-122222-1-1-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-2220000-1-111-2-20000000000-2-200-1-1-112-211-1-111000200110000-1000
χ3222222-122222-1-1-122-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-222200001111-2-200000000002200-1-1-1-1-221111-1-1000-200-1-100001000
χ332222-122-12-122222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-10220022-1-1220000-1-1-1-1-1-1-1-1-1-100000002-1-100-1-1-1-10220000000000-1-10
χ342222-122-12-122222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-10-2-20022-1-1-2-20000-1-1-1-1-1-1-1-1-1-10000000-2110011110-2-20000000000110
χ352222-122-12-122222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-102200-2-211220000111111111100000002-1-100-1-1-1-10-2-20000000000110
χ362222-122-12-122222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-200-2-211-2-2000011111111110000000-2110011110220000000000-1-10
χ372222-122-12-122222-1-1-12-2-12-1-12-1-12-111-2-2111122-2-200-2-2-2-2-1-1-1-1-211-2-2111102-2002211220000-1-1-1-1-1-111110000000-2-1100-1-11102-20000000000-110
χ382222-122-12-122222-1-1-12-2-12-1-12-1-12-111-2-2111122-2-200-2-2-2-2-1-1-1-1-211-2-211110-22002211-2-20000-1-1-1-1-1-11111000000021-10011-1-10-2200000000001-10
χ392222-122-12-122222-1-1-12-2-12-1-12-1-12-111-2-21111-2-222002222-1-1-1-1-211-2-2111102-200-2-2-1-1220000111111-1-1-1-10000000-2-1100-1-1110-2200000000001-10
χ402222-122-12-122222-1-1-12-2-12-1-12-1-12-111-2-21111-2-222002222-1-1-1-1-211-2-211110-2200-2-2-1-1-2-20000111111-1-1-1-1000000021-10011-1-102-20000000000-110
χ4122-2-2222-2-2-222-2-2-222220-22-2-2-22-2-22000000002-2002i−2i000022-2-2000000000000002-200002i−2i2i−2i2-222-2-20000002i−2i0000002i−2i0000000000002i−2i000000
χ4222-2-2222-2-2-222-2-2-222220-22-2-2-22-2-22000000002-200−2i2i000022-2-2000000000000002-20000−2i2i−2i2i2-222-2-2000000−2i2i000000−2i2i000000000000−2i2i000000
χ4322-2-2222-2-2-222-2-2-222220-22-2-2-22-2-2200000000-22002i−2i000022-2-200000000000000-2200002i−2i2i−2i-22-2-222000000−2i2i0000002i−2i000000000000−2i2i000000
χ4422-2-2222-2-2-222-2-2-222220-22-2-2-22-2-2200000000-2200−2i2i000022-2-200000000000000-220000−2i2i−2i2i-22-2-2220000002i−2i000000−2i2i0000000000002i−2i000000
χ4522-2-222-1-21-2-12-2-2122-1-10-2-1-211-1112003−333−3−32-2002i−2i33−3−3-1-1110003−333−3−3000−i3i3-1100002i−2i−ii2-2-1-11133−3−3002i−2i0−i3i3000−ii00000000−i3i300−ii000000
χ4622-2-222-1-21-2-12-2-2122-1-10-2-1-211-1112003−333−3−32-200−2i2i33−3−3-1-1110003−333−3−3000i3−i3-110000−2i2ii−i2-2-1-11133−3−300−2i2i0i3−i3000i−i00000000i3−i300i−i000000
χ4722-2-222-1-21-2-12-2-2122-1-10-2-1-211-1112003−333−3−3-22002i−2i−3−333-1-1110003−333−3−3000−i3i31-100002i−2i−ii-2211-1-1−3−33300−2i2i0−i3i3000−ii00000000i3−i300i−i000000
χ4822-2-222-1-21-2-12-2-2122-1-10-2-1-211-1112003−333−3−3-2200−2i2i−3−333-1-1110003−333−3−3000i3−i31-10000−2i2ii−i-2211-1-1−3−333002i−2i0i3−i3000i−i00000000−i3i300−ii000000
χ4922-2-222-1-21-2-12-2-2122-1-10-2-1-211-111200−33−3−3332-2002i−2i−3−333-1-111000−33−3−333000i3−i3-1100002i−2i−ii2-2-1-111−3−333002i−2i0i3−i3000−ii00000000i3−i300−ii000000
χ5022-2-222-1-21-2-12-2-2122-1-10-2-1-211-111200−33−3−3332-200−2i2i−3−333-1-111000−33−3−333000−i3i3-110000−2i2ii−i2-2-1-111−3−33300−2i2i0−i3i3000i−i00000000−i3i300i−i000000
χ5122-2-222-1-21-2-12-2-2122-1-10-2-1-211-111200−33−3−333-22002i−2i33−3−3-1-111000−33−3−333000i3−i31-100002i−2i−ii-2211-1-133−3−300−2i2i0i3−i3000−ii00000000−i3i300i−i000000
χ5222-2-222-1-21-2-12-2-2122-1-10-2-1-211-111200−33−3−333-2200−2i2i33−3−3-1-111000−33−3−333000−i3i31-10000−2i2ii−i-2211-1-133−3−3002i−2i0−i3i3000i−i00000000i3−i300−ii000000
χ532-2-22222-2-22-2-2-222-222202-2-2-2-2-222-200000000002-2002-22-22-22-200000000000000002-20000000000002-22-22i−2i000000000000000000002i−2i002i−2i0000
χ542-2-22222-2-22-2-2-222-222202-2-2-2-2-222-200000000002-2002-22-22-22-200000000000000002-20000000000002-22-2−2i2i00000000000000000000−2i2i00−2i2i0000
χ552-2-22222-2-22-2-2-222-222202-2-2-2-2-222-20000000000-2200-22-222-22-20000000000000000-22000000000000-22-222i−2i000000000000000000002i−2i00−2i2i0000
χ562-2-22222-2-22-2-2-222-222202-2-2-2-2-222-20000000000-2200-22-222-22-20000000000000000-22000000000000-22-22−2i2i00000000000000000000−2i2i002i−2i0000
χ5744444-2-24-24-2-2-2-2-24-2-214-21-2-21-2-21-244-2-2-2-2-2-200004400001111-2-2-2111111400-2-2000000-2-2-2-200000000000000-2110001100000000000000000000
χ5844444-2-24-24-2-2-2-2-24-2-214-21-2-21-2-21-244-2-2-2-2-2-20000-4-400001111-2-2-2111111-400220000002222000000000000002-1-1000-1-100000000000000000000
χ5944444-2-24-24-2-2-2-2-24-2-21-4-21-2-21-2-21-2-4-422222200004400001111222-1-1-1-1-1-1-40022000000-2-2-2-2000000000000002-1-10001100000000000000000000
χ6044444-2-24-24-2-2-2-2-24-2-21-4-21-2-21-2-21-2-4-42222220000-4-400001111222-1-1-1-1-1-1400-2-2000000222200000000000000-211000-1-100000000000000000000
χ614444-24-2-2-2-2-2444-2-2-21-24-2-2-21-211-2-2-2-2-2-21111444400-2-2-2-211114-2-2-2-2111100000-2-2-2-2000000-2-21111111100000000000000000000000000000000
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χ684444-2-24-24-24-2-2-24-21-2-2-41-21-2-2-2-2-2122-4-42222000000000011112-1-122-1-1-1-10-4400000022000000000000000000000-22-200-1-1110000000000000000
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χ7444-4-44-2-2-42-4-2-22224-2-2102122-1-22-1-200−2323−23−2323230000−4i4i000011-1-10003−333−3−3000−2i32i30000002i−2i2i−2i000000000000000i3−i3000−ii00000000000000000000
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χ7844-4-4-24-2222-24-4-42-2-21-202-22-121-12-20023−23−3−333-440000−23−23232311-1-100023−23−3−333000002-2000000002-2-1-11133−3−300000000000000000000000000000000
χ7944-4-4-24-2222-24-4-42-2-21-202-22-121-12-200−232333−3−34-40000−23−23232311-1-1000−232333−3−300000-2200000000-2211-1-133−3−300000000000000000000000000000000
χ8044-4-4-24-2222-24-4-42-2-21-202-22-121-12-200−232333−3−3-4400002323−23−2311-1-1000−232333−3−3000002-2000000002-2-1-111−3−33300000000000000000000000000000000
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χ904-44-4-24-2-2-222-44-422-21-2022-21-2-1-1222i3−2i300−i3i3−i3i300000023−23−23231-1-1102i3−2i300−i3i3−i3i300000000000000000−3i3i−3i3i−333−300000000000000000000000000000000
χ914-44-4-24-2-2-222-44-422-21-2022-21-2-1-1222i3−2i300−i3i3−i3i3000000−232323−231-1-1102i3−2i300−i3i3−i3i3000000000000000003i−3i3i−3i3−3−3300000000000000000000000000000000
χ924-44-4-2-24-242-42-22-421-2-20-121-2-2222-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i300000000023−2300000000000000000000000000−333i−3i0000000000000000
χ934-44-4-2-24-242-42-22-421-2-20-121-2-2222-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i3000000000−2323000000000000000000000000003−3−3i3i0000000000000000
χ944-44-4-2-24-242-42-22-421-2-20-121-2-2222-12i3−2i3002i3−2i32i3−2i300000000001-1-110−i3i300−i3i3−i3i300000000023−2300000000000000000000000000−33−3i3i0000000000000000
χ954-44-4-2-24-242-42-22-421-2-20-121-2-2222-12i3−2i3002i3−2i32i3−2i300000000001-1-110−i3i300−i3i3−i3i3000000000−2323000000000000000000000000003−33i−3i0000000000000000
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χ984-4-444-24-4-44-422-24-4-24-20-222-42-44-22000000000000000000-22-2200000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000
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χ1024-4-44-24-222-22-4-44-22-21-20-222-12-11-2200003i−3i−3i3i004-400-22-221-11-1000003i−3i−3i3i0000000-22000000003i−3i−3i3i1-11-100000000000000000000000000000000
χ1034-4-44-24-222-22-4-44-22-21-20-222-12-11-2200003i−3i−3i3i00-44002-22-21-11-1000003i−3i−3i3i00000002-200000000−3i3i3i−3i-11-1100000000000000000000000000000000
χ1044-4-44-24-222-22-4-44-22-21-20-222-12-11-220000−3i3i3i−3i004-400-22-221-11-100000−3i3i3i−3i0000000-2200000000−3i3i3i−3i1-11-100000000000000000000000000000000
χ1054-4-44-24-222-22-4-44-22-21-20-222-12-11-220000−3i3i3i−3i00-44002-22-21-11-100000−3i3i3i−3i00000002-2000000003i−3i−3i3i-11-1100000000000000000000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-484-848-444-8-42-4-40-2-4-244-444200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4444-4-4444-42220-22-2-2-22-2-220043−43−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4444-4-4444-42220-22-2-2-22-2-2200−43432323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-48-4-844-444-8-4-4204-2-4-4244-240000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4-4-4444-44442220-2-2222-2-2-2-2−4i34i3002i3−2i32i3−2i30000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-4-4444-44442220-2-2222-2-2-2-24i3−4i300−2i32i3−2i32i30000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-4-848444-4-4-8-4-420-4-244-24-4240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-484-8-4-844-4842-4-4024-2444-4-4-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-4444-4-4422202-2-2-2-2-222-200006i−6i−6i6i0000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-4444-4-4422202-2-2-2-2-222-20000−6i6i6i−6i0000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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