Finite Group Databasebeta

← Group #13168446

Character table — Group #13168446

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order12223336666666663334666666666121244443666121212121212121212121212444412121212121212121212121212121212441212121212121212121212121212121212121212244446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-111111-1-1111111-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-11111-11-1-11-1-111-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11-1-11-111-1-1-1-1-1111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-11111111-1-11-111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1-11-1-11-1-111-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-1111111-1-1-11-1-11111-1-111-1-1-1-1-111-1-111-1-1-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111111111-1-11-1-1-11111-1-1-1-11111-1-1-111-1-1-1-11-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-11-11-11111111-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1111-1-1-1-1-111111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1111-11-11111111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-111111111-1111-1-1-1-11111-1-111-1-1-111-1-1-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111111111111-111-1-1-1-111-1-111-1-1-111-1-111-1-1-11-11
χ17222222-1-1-1222222-12-1-122-1-1-12-12-1-1220022-1-1-1-1-12-1-122-1-1-1-1-1-12022002222000022-1-1-1-1000000-102-100-1-100-1-1-1-1-1-120020-1-100000-100
χ18222222-1-1-1222222-12-1-122-1-1-12-12-1-1220022-1-1-1-1-12-1-122-1-1-1-1-1-120-2-20022-2-2000022-1-111000000-10-2100-1-100-1-11111-200-201100000100
χ19222222-1-1-1222222-12-1-122-1-1-12-12-1-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-202200-2-2220000-2-211-1-1000000102-100110011-1-1-1-1-200-201100000100
χ20222222-1-1-1222222-12-1-122-1-1-12-12-1-12200-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-20-2-200-2-2-2-20000-2-2111100000010-2100110011111120020-1-100000-100
χ21222222-1-1-1222222-12-1-1-22-1-1-12-12-1-1-2-20022-1-1-1-11-211-2-2111111-202-200-2-222000022-1-11100000010-2-100-1-10011-1-111-200201100000-100
χ22222222-1-1-1222222-12-1-1-22-1-1-12-12-1-1-2-20022-1-1-1-11-211-2-2111111-20-2200-2-2-2-2000022-1-1-1-1000000102100-1-1001111-1-1200-20-1-100000100
χ23222222-1-1-1222222-12-1-1-22-1-1-12-12-1-1-2-200-2-2-1-1-1-11-211-2-2111111202-20022220000-2-21111000000-10-2-1001100-1-1-1-111200-20-1-100000100
χ24222222-1-1-1222222-12-1-1-22-1-1-12-12-1-1-2-200-2-2-1-1-1-11-211-2-211111120-220022-2-20000-2-211-1-1000000-1021001100-1-111-1-1-200201100000-100
χ2522222-122222-1-1-122-12-12-12-1-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-102222200-1-1-1-1220000220000000-1-12-1-100-1-100-1-1-1-10200200-1-100-1000
χ2622222-122222-1-1-122-12-12-12-1-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-102-2-2220011-1-1220000-2-20000000-11-2-1-100-1-10011110-200-20011001000
χ2722222-122222-1-1-122-12-12-12-1-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-10-222-2-200-1-111-2-200002200000001-1211001100-1-1-1-10-200-20011001000
χ2822222-122222-1-1-122-12-12-12-1-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-10-2-2-2-2-2001111-2-20000-2-2000000011-21100110011110200200-1-100-1000
χ2922222-122222-1-1-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-1-211111-2-211110-22-22200-1-1-1-1-2-20000-2-200000001121100-1-100-1-1110-200200-1-1001000
χ3022222-122222-1-1-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-1-211111-2-211110-2-22220011-1-1-2-200002200000001-1-21100-1-10011-1-10200-2001100-1000
χ3122222-122222-1-1-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-21111022-2-2-200-1-111220000-2-20000000-112-1-1001100-1-1110200-2001100-1000
χ3222222-122222-1-1-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-2111102-22-2-2001111220000220000000-1-1-2-1-100110011-1-10-200200-1-1001000
χ332222-12222-1-1222-12-1-122-1-122-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-10022-1-1-1-1220022-1-1-1-12200-1-1-1-1-1-1-1-10000002000000-1-10000
χ342222-12222-1-1222-12-1-122-1-122-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2200-1-1110022-1-111-2-200-2-21111-2200-1-111-1-111000000-2000000110000
χ352222-12222-1-1222-12-1-122-1-122-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-12-20011-1-100-2-211-1-12200-2-211112-20011-1-111-1-1000000-2000000110000
χ362222-12222-1-1222-12-1-122-1-122-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-200111100-2-21111-2-20022-1-1-1-1-2-200111111110000002000000-1-10000
χ372222-12222-1-1222-12-1-12-2-1-122-1-1-1-12112222-1-1-1-1-2-2-2-211111111-2-200-1-111002211-1-1220022-1-1-1-1-2-20011-1-1-1-111000000-2000000110000
χ382222-12222-1-1222-12-1-12-2-1-122-1-1-1-121122-2-2-1-1-1-1-2-2-2-2111111112-200-1-1-1-100221111-2-200-2-211112-2001111-1-1-1-10000002000000-1-10000
χ392222-12222-1-1222-12-1-12-2-1-122-1-1-1-1211-2-222-1-1-1-1-2-2-2-211111111-2200111100-2-2-1-1-1-12200-2-21111-2200-1-1-1-111110000002000000-1-10000
χ402222-12222-1-1222-12-1-12-2-1-122-1-1-1-1211-2-2-2-2-1-1-1-1-2-2-2-211111111220011-1-100-2-2-1-111-2-20022-1-1-1-12200-1-11111-1-1000000-2000000110000
χ412-22-2222-2-2-2-22-2-2222220-2-2-2-222-2-22002i−2i2-222-2-200000000000000002i−2i00002i−2i002-22-2002i−2i2i2i−2i−2i0000002-22i−2i000000000000000000000
χ422-22-2222-2-2-2-22-2-2222220-2-2-2-222-2-22002i−2i-2222-2-200000000000000002i−2i00002i−2i00-22-2200−2i2i−2i−2i2i2i000000-222i−2i000000000000000000000
χ432-22-2222-2-2-2-22-2-2222220-2-2-2-222-2-2200−2i2i2-222-2-20000000000000000−2i2i0000−2i2i002-22-200−2i2i−2i−2i2i2i0000002-2−2i2i000000000000000000000
χ442-22-2222-2-2-2-22-2-2222220-2-2-2-222-2-2200−2i2i-2222-2-20000000000000000−2i2i0000−2i2i00-22-22002i−2i2i2i−2i−2i000000-22−2i2i000000000000000000000
χ452-22-2-122-2-2112-2-2-12-1-12011-2-2-1-11123−32i−2i2-2-1-11100003−33−333−3−30000−ii3−3002i−2i−i3i3-112-2002i−2i−i−iii0000−i3i3-11−ii3−30000000000000−i3i30000
χ462-22-2-122-2-2112-2-2-12-1-12011-2-2-1-11123−32i−2i-22-1-11100003−33−333−3−30000−ii−33002i−2i−i3i31-1-2200−2i2iii−i−i0000−i3i31-1−ii−330000000000000i3−i30000
χ472-22-2-122-2-2112-2-2-12-1-12011-2-2-1-11123−3−2i2i2-2-1-11100003−33−333−3−30000i−i3−300−2i2ii3−i3-112-200−2i2iii−i−i0000i3−i3-11i−i3−30000000000000i3−i30000
χ482-22-2-122-2-2112-2-2-12-1-12011-2-2-1-11123−3−2i2i-22-1-11100003−33−333−3−30000i−i−3300−2i2ii3−i31-1-22002i−2i−i−iii0000i3−i31-1i−i−330000000000000−i3i30000
χ492-22-2-122-2-2112-2-2-12-1-12011-2-2-1-1112−332i−2i2-2-1-1110000−33−33−3−3330000−ii−33002i−2ii3−i3-112-2002i−2i−i−iii0000i3−i3-11−ii−330000000000000i3−i30000
χ502-22-2-122-2-2112-2-2-12-1-12011-2-2-1-1112−332i−2i-22-1-1110000−33−33−3−3330000−ii3−3002i−2ii3−i31-1-2200−2i2iii−i−i0000i3−i31-1−ii3−30000000000000−i3i30000
χ512-22-2-122-2-2112-2-2-12-1-12011-2-2-1-1112−33−2i2i2-2-1-1110000−33−33−3−3330000i−i−3300−2i2i−i3i3-112-200−2i2iii−i−i0000−i3i3-11i−i−330000000000000−i3i30000
χ522-22-2-122-2-2112-2-2-12-1-12011-2-2-1-1112−33−2i2i-22-1-1110000−33−33−3−3330000i−i3−300−2i2i−i3i31-1-22002i−2i−i−iii0000−i3i31-1i−i3−30000000000000i3−i30000
χ5344444-2-2-2-244-2-2-24-2-2-214-2-211-2-2-2-214400001111-2-211-2-2-2-2111100440000-2-200000000-2-200000000-2-2000000001111000000000000000
χ5444444-2-2-2-244-2-2-24-2-2-214-2-211-2-2-2-214400001111-2-211-2-2-2-2111100-4-40000220000000022000000002200000000-1-1-1-1000000000000000
χ5544444-2-2-2-244-2-2-24-2-2-21-4-2-211-2-2-2-21-4-40000111122-1-12222-1-1-1-1004-40000-2-20000000022000000002-20000000011-1-1000000000000000
χ5644444-2-2-2-244-2-2-24-2-2-21-4-2-211-2-2-2-21-4-40000111122-1-12222-1-1-1-100-4400002200000000-2-200000000-2200000000-1-111000000000000000
χ574444-24-2-2-2-2-2444-2-2-21-24-21-2-2-21-21-2-2-200441111-24-2-2-2-2111111400000-2-2000000-2-2-2-200000000-2000001100110000000000000000000
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χ594444-24-2-2-2-2-2444-2-2-21-2-4-21-2-2-21-21-222004411112-42222-1-1-1-1-1-1-40000022000000-2-2-2-2000000002000001100-1-10000000000000000000
χ604444-24-2-2-2-2-2444-2-2-21-2-4-21-2-2-21-21-22200-4-411112-42222-1-1-1-1-1-1400000-2-2000000222200000000-200000-1-100110000000000000000000
χ614444-2-2444-2-2-2-2-2-241-2-241-2-2-21-21-2-2-2-2440011114-2-2-211-2-211110400-2-20000-2-2-2-20000000000000-200110011000000000000000000000
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χ844-44-4-2-24-4-422-222-241-2-20-12221-2-12-223−234i−4i0011-1-10000−3323−23−3−3330000−2i2i0000−2i2i−2i32i30000000000000000i3−i300i−i000000000000000000000
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χ864-44-4-2-24-4-422-222-241-2-20-12221-2-12-2−23234i−4i0011-1-100003−3−232333−3−30000−2i2i0000−2i2i2i3−2i30000000000000000−i3i300i−i000000000000000000000
χ874-44-4-2-24-4-422-222-241-2-20-12221-2-12-2−2323−4i4i0011-1-100003−3−232333−3−300002i−2i00002i−2i−2i32i30000000000000000i3−i300−ii000000000000000000000
χ884-4-444444-4-44-44-4-4-44440444-4-4-4-4-4-40000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-22-44-44-4-424-2-204-2-22-42-422000000-22-2200000000000000000000000000000000000000000000000000000000000−2i32i300000000
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χ934-4-44-2444-42-2-44-42-4-2-240-2-24-42222-4000000-22-220000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ944-4-44-2444-42-2-44-42-4-2-240-2-24-42222-4000000-22-2200000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-44-4-44-8-8844-42-404-24-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-88-4444-44-82-4-40-244-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44-4-4444-4442220-2-2-22-2-222-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-4-4444-4442220-2-2-22-2-222-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-444-8-8-4448-4-4-42044-2-2-4-444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-44444-444-4-42220-2-2-2-222-2-2243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-444-4-42220-2-2-2-222-2-22−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-4-44-884-44-84-4-420-4-42-24444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-444-4-88-844-42-40-42-444-24-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-488-84-44-444-82-4-402-4-44-24-2440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4-444-44-44442220222-2-2-2-2-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-444-44-44442220222-2-2-2-2-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000

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