Finite Group Databasebeta

← Group #13170467

Character table — Group #13170467

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612124444443666121212121212121212121212444121212121212121212121212121212124444121212121212121212121212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-111-1-1-1-111111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111
χ51111111111111111111111111111111-1-1111111111111111111111-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-11111-1-11111-1-111-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-111-1-1-1-111-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-11-1-1111111-1-1-1-11-1-11-1-111-1-111-11-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11111-1-1111111-11-1-111-1-111-1-111-111-1-1-1-1-111-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-111-1-11111-1-11-111-1-111-1-111-1-1-111-1-1-1-1-111111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-11111111-111-1-1-1-1-1-111111-1-11-1-111-1-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1111-11-111111111-1-1-1
χ17222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-1022000022-1-122-1-1-1-1-1-12222-1-1-1-10022-1-1-1-100-1-1-1-1000000-1-1000000000
χ18222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-102-2000022-1-1-2-211-1-111-2-2-2-21111002-2-1-11100-1-11100000011000000000
χ19222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-10-220000-2-21122-1-111-1-1-2-2-2-2111100-2211-1-10011-1-100000011000000000
χ20222222-12222-1-1-1222-1-122-1-12-1-12-1-1-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-10-2-20000-2-211-2-21111112222-1-1-1-100-2-21111001111000000-1-1000000000
χ21222222-12222-1-1-1222-1-1-22-1-12-1-12-1-111222200-1-1-1-1-2-2-2-2111111110-2-2000022-1-122-1-11111-2-222111100-2-2111100-1-1-1-1000000-1-1000000000
χ22222222-12222-1-1-1222-1-1-22-1-12-1-12-1-11122-2-200-1-1-1-1-2-2-2-2111111110-22000022-1-1-2-21111-1-122-2-2-1-1-1-100-2211-1-100-1-11100000011000000000
χ23222222-12222-1-1-1222-1-1-22-1-12-1-12-1-111-2-22200-1-1-1-1-2-2-2-21111111102-20000-2-21122-1-1-1-11122-2-2-1-1-1-1002-2-1-1110011-1-100000011000000000
χ24222222-12222-1-1-1222-1-1-22-1-12-1-12-1-111-2-2-2-200-1-1-1-1-2-2-2-2111111110220000-2-211-2-211-1-1-1-1-2-22211110022-1-1-1-1001111000000-1-1000000000
χ2522222-122-12-12222-1-12-12-12-1-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-120222-1-10000-1-1220022000000002-10-100-1-1-1-100-1-1-1-100220000-1-1000-10
χ2622222-122-12-12222-1-12-12-12-1-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-202-2-2110000-1-122002200000000-210-100-1-11100-1-11100-2-200001100010
χ2722222-122-12-12222-1-12-12-12-1-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-120-222-1-1000011-2-200-2-2000000002-1010011-1-10011-1-100-2-200001100010
χ2822222-122-12-12222-1-12-12-12-1-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-20-2-2-211000011-2-200-2-200000000-210100111100111100220000-1-1000-10
χ2922222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-2002222-1-1-1-1-2111-2-2111111-20-222-1-10000-1-12200-2-200000000-21010011-1-100-1-111002-20000-1-100010
χ3022222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-211111120-2-2-2110000-1-12200-2-2000000002-10100111100-1-1-1-100-22000011000-10
χ3122222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-200-2-222-1-1-1-1-2111-2-2111111-20222-1-1000011-2-2002200000000-210-100-1-1-1-100111100-22000011000-10
χ3222222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-2111111202-2-211000011-2-20022000000002-10-100-1-1110011-1-1002-20000-1-100010
χ332222-122-12-12222-12-1-122-1-12-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-1220-1-122-1-1220000220000000000-12-10-1-100-1-1-1-100-1-1220000-1-10000-100
χ342222-122-12-12222-12-1-122-1-12-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-22011-2-2-1-12200002200000000001-2-10-1-10011-1-10011-2-20000110000100
χ352222-122-12-12222-12-1-122-1-12-1-12-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-12-20-1-12211-2-20000-2-20000000000-12101100-1-11100-1-1-2-20000110000100
χ362222-122-12-12222-12-1-122-1-12-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2011-2-211-2-20000-2-200000000001-210110011110011220000-1-10000-100
χ372222-122-12-12222-12-1-12-2-1-12-1-12-1-12-2-2220022-1-1-1-11-21111-2-21111-2-20-1-122-1-1220000-2-200000000001-2101100-1-1-1-100112-20000-1-10000100
χ382222-122-12-12222-12-1-12-2-1-12-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-211112-2011-2-2-1-1220000-2-20000000000-1210110011-1-100-1-1-220000110000-100
χ392222-122-12-12222-12-1-12-2-1-12-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-21111-220-1-12211-2-200002200000000001-2-10-1-100-1-1110011-220000110000-100
χ402222-122-12-12222-12-1-12-2-1-12-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-2111122011-2-211-2-20000220000000000-12-10-1-100111100-1-12-20000-1-10000100
χ412-22-222222-2-2-22-2-2-22220-2222-2-2-2-2-20000002-222-2-20000000000000002-22-20000000000002-20022-2-2000000002-200000000000000002-2000
χ422-22-222222-2-2-22-2-2-22220-2222-2-2-2-2-20000002-222-2-20000000000000002-22-2000000000000-2200-2-222000000002-20000000000000000-22000
χ432-22-222222-2-2-22-2-2-22220-2222-2-2-2-2-2000000-2222-2-2000000000000000-22-220000000000002-20022-2-200000000-220000000000000000-22000
χ442-22-222222-2-2-22-2-2-22220-2222-2-2-2-2-2000000-2222-2-2000000000000000-22-22000000000000-2200-2-22200000000-2200000000000000002-2000
χ452-2-22222-2-2-2-2-2-222222202-2-2-222-2-2-2002i−2i2i−2i002-22-200000000000000000002i−2i2i−2i2i−2i2i−2i0000002-2000000000000002i−2i2i−2i0000002-2000000000
χ462-2-22222-2-2-2-2-2-222222202-2-2-222-2-2-2002i−2i−2i2i002-22-200000000000000000002i−2i2i−2i−2i2i−2i2i000000-22000000000000002i−2i−2i2i000000-22000000000
χ472-2-22222-2-2-2-2-2-222222202-2-2-222-2-2-200−2i2i2i−2i002-22-20000000000000000000−2i2i−2i2i2i−2i2i−2i000000-2200000000000000−2i2i2i−2i000000-22000000000
χ482-2-22222-2-2-2-2-2-222222202-2-2-222-2-2-200−2i2i−2i2i002-22-20000000000000000000−2i2i−2i2i−2i2i−2i2i0000002-200000000000000−2i2i−2i2i0000002-2000000000
χ492-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-2113−32i−2i2i−2i00-11-1100003−33−333−3−300000002i−2i−ii2i−2i−ii−i3i3−i3i3002-23−33−30000−i3i3−i3i300−ii−ii000000-11000000000
χ502-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-2113−32i−2i−2i2i00-11-1100003−33−333−3−300000002i−2i−ii−2i2ii−i−i3i3i3−i300-22−33−330000−i3i3i3−i300−iii−i0000001-1000000000
χ512-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-2113−3−2i2i2i−2i00-11-1100003−33−333−3−30000000−2i2ii−i2i−2i−iii3−i3−i3i300-22−33−330000i3−i3−i3i300i−i−ii0000001-1000000000
χ522-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-2113−3−2i2i−2i2i00-11-1100003−33−333−3−30000000−2i2ii−i−2i2ii−ii3−i3i3−i3002-23−33−30000i3−i3i3−i300i−ii−i000000-11000000000
χ532-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-211−332i−2i2i−2i00-11-110000−33−33−3−33300000002i−2i−ii2i−2i−iii3−i3i3−i3002-2−33−330000i3−i3i3−i300−ii−ii000000-11000000000
χ542-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-211−332i−2i−2i2i00-11-110000−33−33−3−33300000002i−2i−ii−2i2ii−ii3−i3−i3i300-223−33−30000i3−i3−i3i300−iii−i0000001-1000000000
χ552-2-2222-1-2-2-2-211-1222-1-10211-2-1-1-211−33−2i2i2i−2i00-11-110000−33−33−3−3330000000−2i2ii−i2i−2i−ii−i3i3i3−i300-223−33−30000−i3i3i3−i300i−i−ii0000001-1000000000
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χ5744444-2-24-24-2-2-2-24-2-2-214-2-21-2-21-2-21-2-200440011114-2-2-2-2-211111100400000000-2-2-2-200-2-200000000000-2001100001100000000000000000
χ5844444-2-24-24-2-2-2-24-2-2-214-2-21-2-21-2-21-2-200-4-40011114-2-2-2-2-211111100-4000000002222002200000000000200-1-10000-1-100000000000000000
χ5944444-2-24-24-2-2-2-24-2-2-21-4-2-21-2-21-2-21220044001111-422222-1-1-1-1-1-100-400000000-2-2-2-2002200000000000200-1-100001100000000000000000
χ6044444-2-24-24-2-2-2-24-2-2-21-4-2-21-2-21-2-212200-4-4001111-422222-1-1-1-1-1-100400000000222200-2-200000000000-200110000-1-100000000000000000
χ614444-24-2-24-24-2-2-2-24-21-24-21-2-21-2-21-2-2-24400001111-24-2-211-2-211110400000-2-2-2-20000-2-2000000000000-20110000110000000000000000000
χ624444-24-2-24-24-2-2-2-24-21-24-21-2-21-2-21-2-2-2-4-400001111-24-2-211-2-211110-400000222200002200000000000020-1-10000-1-10000000000000000000
χ634444-24-2-24-24-2-2-2-24-21-2-4-21-2-21-2-21-22244000011112-422-1-122-1-1-1-10-400000-2-2-2-200002200000000000020-1-10000110000000000000000000
χ644444-24-2-24-24-2-2-2-24-21-2-4-21-2-21-2-21-222-4-4000011112-422-1-122-1-1-1-1040000022220000-2-2000000000000-20110000-1-10000000000000000000
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χ834-44-4-2-24-2-222-44-4221-2-20-1-2-2122-1220000004-411-1-100−3i3i0000−3i3i−3i3i000-22-2200000000000000000000000000001-10000−3i3i000000000000000
χ844-44-4-2-24-2-222-44-4221-2-20-1-2-2122-122000000-4411-1-1003i−3i00003i−3i3i−3i0002-22-20000000000000000000000000000-110000−3i3i000000000000000
χ854-44-4-2-24-2-222-44-4221-2-20-1-2-2122-122000000-4411-1-100−3i3i0000−3i3i−3i3i0002-22-20000000000000000000000000000-1100003i−3i000000000000000
χ864-4-444-24-42-42-4-444-2-24-20-2-4224-22-4200004i−4i00-22-2200000000000000000000000−2i2i4i−4i000000000000000000000000−2i2i00000000000000000
χ874-4-444-24-42-42-4-444-2-24-20-2-4224-22-420000−4i4i00-22-22000000000000000000000002i−2i−4i4i0000000000000000000000002i−2i00000000000000000
χ884-4-444-2-2-42-4222-24-2-2-210-22-12-2122-123−23004i−4i001-11-1000023−23−33−3−33300000000000−2i2i−2i2i00−2i32i300000000000000i3−i30000i−i00000000000000000
χ894-4-444-2-2-42-4222-24-2-2-210-22-12-2122-123−2300−4i4i001-11-1000023−23−33−3−333000000000002i−2i2i−2i002i3−2i300000000000000−i3i30000−ii00000000000000000
χ904-4-444-2-2-42-4222-24-2-2-210-22-12-2122-1−2323004i−4i001-11-10000−23233−333−3−300000000000−2i2i−2i2i002i3−2i300000000000000−i3i30000i−i00000000000000000
χ914-4-444-2-2-42-4222-24-2-2-210-22-12-2122-1−232300−4i4i001-11-10000−23233−333−3−3000000000002i−2i2i−2i00−2i32i300000000000000i3−i30000−ii00000000000000000
χ924-4-44-2442-42-4-4-44-24-2-240-22-42-2422-4004i−4i0000-22-220000000000000000000−2i2i4i−4i00000000000000000000000000−2i2i0000000000000000000
χ934-4-44-2442-42-4-4-44-24-2-240-22-42-2422-400−4i4i0000-22-2200000000000000000002i−2i−4i4i000000000000000000000000002i−2i0000000000000000000
χ944-4-44-24-22-42-422-2-24-21-20-2-1221-22-1223−234i−4i00001-11-10000−3323−23−3−3330000000−2i2i−2i2i0000−2i32i300000000000000i3−i30000i−i0000000000000000000
χ954-4-44-24-22-42-422-2-24-21-20-2-1221-22-1223−23−4i4i00001-11-10000−3323−23−3−33300000002i−2i2i−2i00002i3−2i300000000000000−i3i30000−ii0000000000000000000
χ964-4-44-24-22-42-422-2-24-21-20-2-1221-22-12−23234i−4i00001-11-100003−3−232333−3−30000000−2i2i−2i2i00002i3−2i300000000000000−i3i30000i−i0000000000000000000
χ974-4-44-24-22-42-422-2-24-21-20-2-1221-22-12−2323−4i4i00001-11-100003−3−232333−3−300000002i−2i2i−2i0000−2i32i300000000000000i3−i30000−ii0000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-848-4-444-84-4-42044-244-2-4-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-44-8-48-4444-8-42-404-244-24-42-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4844-4-48-8-8442-4-40-244-2442-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-444-4-4-444442220-2-2-2-2-2-222200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-444-4-4-444442220-2-2-2-2-2-222200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-48-4-844-44-84-4-4204-42-44-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-4-484-84-444-8-42-4042-4-4-244-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-4-4444-44442220-2222-2-2-2-2-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-4-4444-44442220-2222-2-2-2-2-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484444-8-88-4-42-4-40244-2-4-4-244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444444-4-4-422202-2-2-222-2-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444444-4-4-422202-2-2-222-2-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000

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