Finite Group Databasebeta

← Group #13168467

Character table — Group #13168467

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121224466661212121212121212121212124444121212126666661212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111111111111-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-11-11-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-11-11-1-111-1-1-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-111-1-1-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-11-11-1-111-1-111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-11-111-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-111-1-1-11-1-11111-1-11-1-1111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-11111-1-111-1-11111-1-111-1-11-111-1-1-1-111-111-1-1-111-1-1111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-111-11-1-11111-1-1-111-1-1-111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1111-111-1-1-1-1111-1-1111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1
χ17222222-12-1222-12-122-1-122-1-1-1-12-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-120222-1-1002200-1-10022000000002-1-1-1-1-10-100-1-100-1-1020200-1-100000-10
χ18222222-12-1222-12-122-1-122-1-1-1-12-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-120-222-1-100-2-2001100-2-2000000002-1-1-1-1-101001100110-20-200110000010
χ19222222-12-1222-12-122-1-122-1-1-1-12-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-1-202-2-211002200-1-1002200000000-2111110-100-1-100-1-10-20-200110000010
χ20222222-12-1222-12-122-1-122-1-1-1-12-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-20-2-2-21100-2-2001100-2-200000000-2111110100110011020200-1-100000-10
χ21222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-2220022-1-1-1-1-2111-2-2111111-20-222-1-1002200-1-100-2-200000000-21-1-11101001100-1-1020-200-1-10000010
χ22222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-22200-2-2-1-1-1-1-2111-2-2111111-20222-1-100-2-20011002200000000-21-1-1110-100-1-100110-202001100000-10
χ23222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-2-2-20022-1-1-1-1-2111-2-211111120-2-2-211002200-1-100-2-2000000002-111-1-101001100-1-10-202001100000-10
χ24222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-2111111202-2-21100-2-200110022000000002-111-1-10-100-1-10011020-200-1-10000010
χ2522222-12-1222-12-122-12-12-12-1-1-1-12-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-1220-1-1222200-1-100220000000000-12-1-1-1-1-10-1-100-1-1002020-1-1000000-100
χ2622222-12-1222-12-122-12-12-12-1-1-1-12-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-12-20-1-122-2-2001100-2-20000000000-12-1-1-1-11011001100-20-2011000000100
χ2722222-12-1222-12-122-12-12-12-1-1-1-12-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1-22011-2-22200-1-1002200000000001-21111-10-1-100-1-100-20-2011000000100
χ2822222-12-1222-12-122-12-12-12-1-1-1-12-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2011-2-2-2-2001100-2-200000000001-2111110110011002020-1-1000000-100
χ2922222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-2222200-1-1-1-11-21111-2-21111-2-20-1-1222200-1-100-2-200000000001-2-1-111101100-1-10020-20-1-1000000100
χ3022222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-222-2-200-1-1-1-11-21111-2-21111-220-1-122-2-20011002200000000001-2-1-111-10-1-1001100-202011000000-100
χ3122222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-2-2-22200-1-1-1-11-21111-2-211112-2011-2-22200-1-100-2-20000000000-1211-1-1101100-1-100-202011000000-100
χ3222222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-2-2-2-2-200-1-1-1-11-21111-2-2111122011-2-2-2-2001100220000000000-1211-1-1-10-1-100110020-20-1-1000000100
χ332222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-10220000-1-1-1-12222-1-1-1-12222-1-1-1-100000022-1-1-1-1-1-1-1-100000000-1-100000
χ342222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-102-20000-1-11122-2-2-1-111-2-2-2-211110000002-2-1-111-1-111000000001100000
χ352222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-10-22000011-1-1-2-22211-1-1-2-2-2-21111000000-2211-1-111-1-1000000001100000
χ362222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-2-200001111-2-2-2-211112222-1-1-1-1000000-2-21111111100000000-1-100000
χ372222-12222-1-12222-1-1-12-2-1-1222-1-1-1-111002222-1-1-1-1-2-2-2-2111111110-2-20000-1-1-1-122221111-2-2221111000000-2-21111-1-1-1-100000000-1-100000
χ382222-12222-1-12222-1-1-12-2-1-1222-1-1-1-1110022-2-2-1-1-1-1-2-2-2-2111111110-220000-1-11122-2-211-1-122-2-2-1-1-1-1000000-2211-1-1-1-111000000001100000
χ392222-12222-1-12222-1-1-12-2-1-1222-1-1-1-11100-2-222-1-1-1-1-2-2-2-21111111102-2000011-1-1-2-222-1-11122-2-2-1-1-1-10000002-2-1-11111-1-1000000001100000
χ402222-12222-1-12222-1-1-12-2-1-1222-1-1-1-11100-2-2-2-2-1-1-1-1-2-2-2-21111111102200001111-2-2-2-2-1-1-1-1-2-222111100000022-1-1-1-1111100000000-1-100000
χ4122-2-2222-2-22-2-2-222-22220-2-2-2-22-2-222002-200002-2-220000000000000002-22-20000000000002i−2i002i2i−2i−2i002-200000000000000000000002i−2i000
χ4222-2-2222-2-22-2-2-222-22220-2-2-2-22-2-222002-200002-2-220000000000000002-22-2000000000000−2i2i00−2i−2i2i2i002-20000000000000000000000−2i2i000
χ4322-2-2222-2-22-2-2-222-22220-2-2-2-22-2-22200-2200002-2-22000000000000000-22-220000000000002i−2i002i2i−2i−2i00-220000000000000000000000−2i2i000
χ4422-2-2222-2-22-2-2-222-22220-2-2-2-22-2-22200-2200002-2-22000000000000000-22-22000000000000−2i2i00−2i−2i2i2i00-2200000000000000000000002i−2i000
χ452-2-2222222-2-2-2-2-2-222220-2-22-2-222-2-200002i−2i2i−2i22-2-200000000000000000002i−2i2i−2i2i−2i2i−2i0000002-200000000000000002i−2i2i−2i000000002-200000
χ462-2-2222222-2-2-2-2-2-222220-2-22-2-222-2-200002i−2i−2i2i22-2-200000000000000000002i−2i−2i2i2i−2i−2i2i000000-2200000000000000002i−2i−2i2i00000000-2200000
χ472-2-2222222-2-2-2-2-2-222220-2-22-2-222-2-20000−2i2i2i−2i22-2-20000000000000000000−2i2i2i−2i−2i2i2i−2i000000-220000000000000000−2i2i2i−2i00000000-2200000
χ482-2-2222222-2-2-2-2-2-222220-2-22-2-222-2-20000−2i2i−2i2i22-2-20000000000000000000−2i2i−2i2i−2i2i−2i2i0000002-20000000000000000−2i2i−2i2i000000002-200000
χ492-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-1113−3002i−2i2i−2i-1-11100003−33−333−3−30000000−ii−ii2i−2i2i−2i−i3i3−i3i3002-23−33−300000000−i3i3−i3i3−ii−ii00000000-1100000
χ502-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-1113−3002i−2i−2i2i-1-11100003−33−333−3−30000000−iii−i2i−2i−2i2i−i3i3i3−i300-22−33−3300000000−i3i3i3−i3−iii−i000000001-100000
χ512-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-1113−300−2i2i2i−2i-1-11100003−33−333−3−30000000i−i−ii−2i2i2i−2ii3−i3−i3i300-22−33−3300000000i3−i3−i3i3i−i−ii000000001-100000
χ522-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-1113−300−2i2i−2i2i-1-11100003−33−333−3−30000000i−ii−i−2i2i−2i2ii3−i3i3−i3002-23−33−300000000i3−i3i3−i3i−ii−i00000000-1100000
χ532-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-111−33002i−2i2i−2i-1-1110000−33−33−3−3330000000−ii−ii2i−2i2i−2ii3−i3i3−i3002-2−33−3300000000i3−i3i3−i3−ii−ii00000000-1100000
χ542-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-111−33002i−2i−2i2i-1-1110000−33−33−3−3330000000−iii−i2i−2i−2i2ii3−i3−i3i300-223−33−300000000i3−i3−i3i3−iii−i000000001-100000
χ552-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-111−3300−2i2i2i−2i-1-1110000−33−33−3−3330000000i−i−ii−2i2i2i−2i−i3i3i3−i300-223−33−300000000−i3i3i3−i3i−i−ii000000001-100000
χ562-2-22-1222211-2-2-2-2-1-1-120112-2-2-1-111−3300−2i2i−2i2i-1-1110000−33−33−3−3330000000i−ii−i−2i2i−2i2i−i3i3−i3i3002-2−33−3300000000−i3i3−i3i3i−ii−i00000000-1100000
χ5744444-2-2-2-244-2-2-2-24-2-214-2-2111-2-2-2-2444400001111-2-211-2-2-2-21111400-2-2-2-200000000000000000000-2-211110000000000000000000000000
χ5844444-2-2-2-244-2-2-2-24-2-214-2-2111-2-2-2-244-4-400001111-2-211-2-2-2-21111-40022220000000000000000000022-1-1-1-10000000000000000000000000
χ5944444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-4440000111122-1-12222-1-1-1-1-400-2-2-2-2000000000000000000002211-1-10000000000000000000000000
χ6044444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-4-4-40000111122-1-12222-1-1-1-1400222200000000000000000000-2-2-1-1110000000000000000000000000
χ614444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-21-2-200004411114-2-2-2-2-2111111004000000-2-200-2-200-2-2000000000000000-200110011000000000000000
χ624444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-21-2-20000-4-411114-2-2-2-2-211111100-40000002200220022000000000000000200-1-100-1-1000000000000000
χ634444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-21220000441111-422222-1-1-1-1-1-100-4000000-2-200-2-20022000000000000000200-1-10011000000000000000
χ644444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-21220000-4-41111-422222-1-1-1-1-1-100400000022002200-2-2000000000000000-2001100-1-1000000000000000
χ654444-2-24-24-2-2-24-24-21-2-241-2-2-2-21-21-2-2-20044001111-24-2-211-2-211110400000-2-200-2-200-2-20000000000000000-2011001100000000000000000
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χ674444-2-24-24-2-2-24-24-21-2-2-41-2-2-2-21-21-22200440011112-422-1-122-1-1-1-10-400000-2-200-2-20022000000000000000020-1-1001100000000000000000
χ684444-2-24-24-2-2-24-24-21-2-2-41-2-2-2-21-21-22200-4-40011112-422-1-122-1-1-1-1040000022002200-2-20000000000000000-201100-1-100000000000000000
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χ814-44-444-2-42-444-2-42-44-2-204-22-22-42-4200000000-22-220000000000000000000000000000000000000000000000000000000000000−23230000000
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χ904-4-44-24-24-222-42-42-2-21-202-1-222-212-123−2300004i−4i11-1-1000023−23−33−3−333000000000−2i2i00−2i2i00−2i32i3000000000000000000i3−i300i−i000000000000000
χ914-4-44-24-24-222-42-42-2-21-202-1-222-212-123−230000−4i4i11-1-1000023−23−33−3−3330000000002i−2i002i−2i002i3−2i3000000000000000000−i3i300−ii000000000000000
χ924-4-44-24-24-222-42-42-2-21-202-1-222-212-1−232300004i−4i11-1-10000−23233−333−3−3000000000−2i2i00−2i2i002i3−2i3000000000000000000−i3i300i−i000000000000000
χ934-4-44-24-24-222-42-42-2-21-202-1-222-212-1−23230000−4i4i11-1-10000−23233−333−3−30000000002i−2i002i−2i00−2i32i3000000000000000000i3−i300−ii000000000000000
χ944-4-44-2-24-24222-42-4-21-2-20-12-2221-2-1223−23004i−4i0011-1-10000−3323−23−3−3330000000−2i2i00−2i2i00−2i32i3000000000000000000i3−i300i−i00000000000000000
χ954-4-44-2-24-24222-42-4-21-2-20-12-2221-2-1223−2300−4i4i0011-1-10000−3323−23−3−33300000002i−2i002i−2i002i3−2i3000000000000000000−i3i300−ii00000000000000000
χ964-4-44-2-24-24222-42-4-21-2-20-12-2221-2-12−2323004i−4i0011-1-100003−3−232333−3−30000000−2i2i00−2i2i002i3−2i3000000000000000000−i3i300i−i00000000000000000
χ974-4-44-2-24-24222-42-4-21-2-20-12-2221-2-12−232300−4i4i0011-1-100003−3−232333−3−300000002i−2i002i−2i00−2i32i3000000000000000000i3−i300−ii00000000000000000
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
χ10088-8-8-48-4-84-44-848-44-42-404-244-44-2-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-484-8-444-8-4842-4-40-2444-4-242-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-4444-4-442220-2-2-2-22-2-22200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-444-4444-4-442220-2-2-2-22-2-22200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-444-88-4-444-8-4-420-4-4-22-24444000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-4-844-48-4-844-42-40-424-444-24-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-484-84-4-484-842-4-402-44-44-24-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4444-4-4-4444222022-22-2-2-2-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-4-4-4444222022-22-2-2-2-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000
χ1098-8-888-4-4-4-4-8-844448-4-420442-2-2-4-4440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4-4444444-42220-2-22-2-222-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4-4444444-42220-2-22-2-222-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000

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