Finite Group Databasebeta

← Group #13167965

Character table — Group #13167965

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222444436661212121212121212121212124444244666666121212121212121212124444121212126666612121212121212121212124441212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-1111111-1-1111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-111-1-111111-1-111111-1-1-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-111-111-1-1111111-1-11-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-111-1-1-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1111111111111-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-11-11-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-11111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-1-111-11111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-11111-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1111-1-111-1-1-1-1111-11-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-11111111-1-111-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-12-1222-1-1222-1-122-1-1-1-12-1-12-1-1222200-1-1-1-122-1-1-1-122-1-1-1-1222222022-1-1-1-10022-1-1-1-1000000-1-1-1-12-1-1-1-1200-1-1-1-10000020-1-1000000000
χ18222222-12-1222-1-1222-1-122-1-1-1-12-1-12-1-122-2-200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-22022-1-11100-2-2-1-1110000001111-2-1-111200-1-11100000-2011000000000
χ19222222-12-1222-1-1222-1-122-1-1-1-12-1-12-1-1-2-22200-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-22-20-2-211-1-1002211-1-10000001111211-1-1-20011-1-100000-2011000000000
χ20222222-12-1222-1-1222-1-122-1-1-1-12-1-12-1-1-2-2-2-200-1-1-1-122-1-1-1-122-1-1-1-12222-2-20-2-2111100-2-21111000000-1-1-1-1-21111-20011110000020-1-1000000000
χ21222222-12-1222-1-1222-1-1-22-1-1-1-12-1-1211222200-1-1-1-1-2-21111-2-211112222-2-2022-1-111002211-1-1000000-1-1-1-1-2-1-111-20011-1-100000-2011000000000
χ22222222-12-1222-1-1222-1-1-22-1-1-1-12-1-121122-2-200-1-1-1-1-2-21111-2-21111-2-2-2-22-2022-1-1-1-100-2-2111100000011112-1-1-1-1-20011110000020-1-1000000000
χ23222222-12-1222-1-1222-1-1-22-1-1-1-12-1-1211-2-22200-1-1-1-1-2-21111-2-21111-2-2-2-2-220-2-211110022-1-1-1-10000001111-21111200-1-1-1-10000020-1-1000000000
χ24222222-12-1222-1-1222-1-1-22-1-1-1-12-1-1211-2-2-2-200-1-1-1-1-2-21111-2-211112222220-2-211-1-100-2-2-1-111000000-1-1-1-1211-1-1200-1-11100000-2011000000000
χ2522222-1222-12-122-12-12-12-12-12-1-12-1-122002222-1-1-1-1-1222-1-1-1-1-1-1-1-10000202000022-1-1-1-100222200220000-100-1-102-100-1-1-1-1-1-100200-1-10000-100
χ2622222-1222-12-122-12-12-12-12-12-1-12-1-1220022-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1000020-200002211-1-10022-2-200-2-20000-100-1-10-2100-1-1111100-200110000100
χ2722222-1222-12-122-12-12-12-12-12-1-12-1-12200-2-222-1-1-1-1-1222-1-1-1-1-1-1-1-10000-2020000-2-2-1-11100-2-22200-2-200001001102-10011-1-1-1-100-200110000100
χ2822222-1222-12-122-12-12-12-12-12-1-12-1-12200-2-2-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10000-20-20000-2-2111100-2-2-2-200220000100110-210011111100200-1-10000-100
χ2922222-1222-12-122-12-12-1-2-12-12-1-12-1-1-2-2002222-1-1-1-11-2-2-2111111110000-20-20000-2-2-1-1-1-100222200220000100110-2100-1-111-1-100-200-1-10000100
χ3022222-1222-12-122-12-12-1-2-12-12-1-12-1-1-2-20022-2-2-1-1-1-11-2-2-2111111110000-2020000-2-211-1-10022-2-200-2-200001001102-100-1-1-1-11100200110000-100
χ3122222-1222-12-122-12-12-1-2-12-12-1-12-1-1-2-200-2-222-1-1-1-11-2-2-211111111000020-2000022-1-11100-2-22200-2-20000-100-1-10-21001111-1-100200110000-100
χ3222222-1222-12-122-12-12-1-2-12-12-1-12-1-1-2-200-2-2-2-2-1-1-1-11-2-2-2111111110000202000022111100-2-2-2-200220000-100-1-102-10011-1-11100-200-1-10000100
χ332222-122-122-12222-1-1-122-1-12-12-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-10000022-1-1220022002200-1-1220000000-1-100-1-12-1-100-1-1-1-12000000-1-1000-10
χ342222-122-122-12222-1-1-122-1-12-12-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000002-2-1-12200-2-200220011-2-20000000-1-100-11-2-1-1001111-20000001100010
χ352222-122-122-12222-1-1-122-1-12-12-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-100000-2211-2-2002200-2-200-1-1-2-2000000011001-121100-1-1-1-1-20000001100010
χ362222-122-122-12222-1-1-122-1-12-12-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2-211-2-200-2-200-2-20011220000000110011-2110011112000000-1-1000-10
χ372222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-2220022-1-1-1-1-2111-2-211111100000-2-2-1-122002200-2-200-1-1220000000-1-10011-2110011-1-1-2000000-1-100010
χ382222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-22200-2-2-1-1-1-1-2111-2-211111100000-22-1-12200-2-200-2-20011-2-20000000-1-1001-121100-1-111200000011000-10
χ392222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-2-2-20022-1-1-1-1-2111-2-2111111000002-211-2-20022002200-1-1-2-200000001100-11-2-1-10011-1-1200000011000-10
χ402222-122-122-12222-1-1-12-2-1-12-12-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-2111111000002211-2-200-2-2002200112200000001100-1-12-1-100-1-111-2000000-1-100010
χ4122-2-2222-2-2-222-22-2-22220-2-2-2-2-2222-20000002i−2i22-2-200000000000022-2-20000000002i−2i0000002i−2i000022-2-2000000000000002i−2i0000000002i−2i000
χ4222-2-2222-2-2-222-22-2-22220-2-2-2-2-2222-20000002i−2i22-2-2000000000000-2-2220000000002i−2i0000002i−2i0000-2-222000000000000002i−2i000000000−2i2i000
χ4322-2-2222-2-2-222-22-2-22220-2-2-2-2-2222-2000000−2i2i22-2-200000000000022-2-2000000000−2i2i000000−2i2i000022-2-200000000000000−2i2i000000000−2i2i000
χ4422-2-2222-2-2-222-22-2-22220-2-2-2-2-2222-2000000−2i2i22-2-2000000000000-2-222000000000−2i2i000000−2i2i0000-2-22200000000000000−2i2i0000000002i−2i000
χ452-22-2222-222-2-2-2-2-222220-2-2-222-2-2-22000000002-2-220000000000002i−2i2i−2i00000000000000000002-22i−2i2i−2i2i−2i0000000000000000000002i−2i2-200000
χ462-22-2222-222-2-2-2-2-222220-2-2-222-2-2-22000000002-2-220000000000002i−2i2i−2i0000000000000000000-22−2i2i2i−2i2i−2i000000000000000000000−2i2i-2200000
χ472-22-2222-222-2-2-2-2-222220-2-2-222-2-2-22000000002-2-22000000000000−2i2i−2i2i00000000000000000002-2−2i2i−2i2i−2i2i000000000000000000000−2i2i2-200000
χ482-22-2222-222-2-2-2-2-222220-2-2-222-2-2-22000000002-2-22000000000000−2i2i−2i2i0000000000000000000-222i−2i−2i2i−2i2i0000000000000000000002i−2i-2200000
χ492-2-222222-2-2-2-22-22-22220222-2-2-2-2-2-2002-22i−2i002-22-20000000000002i−2i−2i2i0002-22-200002i−2i002i−2i0000002i−2i−2i2i02-200000002i−2i000000000000000000
χ502-2-222222-2-2-2-22-22-22220222-2-2-2-2-2-2002-2−2i2i002-22-2000000000000−2i2i2i−2i0002-22-20000−2i2i00−2i2i000000−2i2i2i−2i02-20000000−2i2i000000000000000000
χ512-2-222222-2-2-2-22-22-22220222-2-2-2-2-2-200-222i−2i002-22-2000000000000−2i2i2i−2i000-22-2200002i−2i002i−2i000000−2i2i2i−2i0-2200000002i−2i000000000000000000
χ522-2-222222-2-2-2-22-22-22220222-2-2-2-2-2-200-22−2i2i002-22-20000000000002i−2i−2i2i000-22-220000−2i2i00−2i2i0000002i−2i−2i2i0-220000000−2i2i000000000000000000
χ532-2-2222-121-2-2-2-112-22-1-102-1-111-211-23−32-22i−2i00-11-11003−33−30033−3−32i−2i−2i2i0002-2-11−i3i3002i−2i3−3−ii000000−iii−i0-11−i3i30003−3−ii0000000−i3i3000000000
χ542-2-2222-121-2-2-2-112-22-1-102-1-111-211-23−32-2−2i2i00-11-11003−33−30033−3−3−2i2i2i−2i0002-2-11i3−i300−2i2i3−3i−i000000i−i−ii0-11i3−i30003−3i−i0000000i3−i3000000000
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χ572-2-2222-121-2-2-2-112-22-1-102-1-111-211-2−332-22i−2i00-11-1100−33−3300−3−3332i−2i−2i2i0002-2-11i3−i3002i−2i−33−ii000000−iii−i0-11i3−i3000−33−ii0000000i3−i3000000000
χ582-2-2222-121-2-2-2-112-22-1-102-1-111-211-2−332-2−2i2i00-11-1100−33−3300−3−333−2i2i2i−2i0002-2-11−i3i300−2i2i−33i−i000000i−i−ii0-11−i3i3000−33i−i0000000−i3i3000000000
χ592-2-2222-121-2-2-2-112-22-1-102-1-111-211-2−33-222i−2i00-11-1100−33−3300−3−333−2i2i2i−2i000-221-1i3−i3002i−2i3−3−ii000000i−i−ii01-1i3−i30003−3−ii0000000−i3i3000000000
χ602-2-2222-121-2-2-2-112-22-1-102-1-111-211-2−33-22−2i2i00-11-1100−33−3300−3−3332i−2i−2i2i000-221-1−i3i300−2i2i3−3i−i000000−iii−i01-1−i3i30003−3i−i0000000i3−i3000000000
χ6144444-2-24-2-24-2-2-2-24-2-214-2-21-21-2-21-2-2-20044001111-24-2-211-2-2111100004000000-2-200-2-200-2-20000000000-200110000011000000000000000000
χ6244444-2-24-2-24-2-2-2-24-2-214-2-21-21-2-21-2-2-200-4-4001111-24-2-211-2-211110000-400000022002200220000000000200-1-100000-1-1000000000000000000
χ6344444-2-24-2-24-2-2-2-24-2-21-4-2-21-21-2-21-22200440011112-422-1-122-1-1-1-10000-40000002200-2-200-2-20000000000200-1-10000011000000000000000000
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χ714444-2-24-24-2-2-244-2-21-2-2-41-2-2-2-21-2-21-4-40000441111222222-1-1-1-1-1-1000000-4000000-2-2000000-2-200000000000000220000-1-11100000000000000
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χ7844-4-4-2442-4-4-24-44-42-2-24022-42-4-2-242000000−4i4i-2-2220000000000000000000000000−4i4i0000002i−2i00000000000000000000002i−2i00000000000000
χ7944-4-4-2-242-42-2-2-44221-2-20-122221-2-2-10000004i−4i11-1-10000003i−3i3i−3i3i−3i0000000000000−2i2i000000−2i2i000000000000000000003-3i−i00000000000000
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χ834-44-444-2-4-24-4-422-444-2-20-422-2-2-422400000000-222-20000000000004i−4i4i−4i00000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ844-44-444-2-4-24-4-422-444-2-20-422-2-2-422400000000-222-2000000000000−4i4i−4i4i000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ854-44-44-24-44-2-42-4-424-24-202-424-22-42-200000000-222-200000000000000000000000000000000000004i−4i0000000000000000000000000−2i2i0000000
χ864-44-44-24-44-2-42-4-424-24-202-424-22-42-200000000-222-20000000000000000000000000000000000000−4i4i00000000000000000000000002i−2i0000000
χ874-44-4-2442442-4-4-4-4-2-2-24022-4-2422-4-200000000-222-2000000000000000000000000000000000004-400000000000000000000000000000-2200000
χ884-44-4-2442442-4-4-4-4-2-2-24022-4-2422-4-200000000-222-200000000000000000000000000000000000-44000000000000000000000000000002-200000
χ894-4-444-244-42-424-4-2-4-24-20-24-2-422-42200004i−4i00-22-22000000000000000000000000000−2i2i004i−4i00000000000000000000−2i2i000000000000000000
χ904-4-444-244-42-424-4-2-4-24-20-24-2-422-4220000−4i4i00-22-220000000000000000000000000002i−2i00−4i4i000000000000000000002i−2i000000000000000000
χ914-4-444-2-2422-42-22-2-4-2-210-2-212-122-1223−23004i−4i001-11-10023−23−3300−3−33300000000000−2i32i300−2i2i00−2i2i0000000000000i3−i300000i−i000000000000000000
χ924-4-444-2-2422-42-22-2-4-2-210-2-212-122-1223−2300−4i4i001-11-10023−23−3300−3−333000000000002i3−2i3002i−2i002i−2i0000000000000−i3i300000−ii000000000000000000
χ934-4-444-2-2422-42-22-2-4-2-210-2-212-122-12−2323004i−4i001-11-100−23233−30033−3−3000000000002i3−2i300−2i2i00−2i2i0000000000000−i3i300000i−i000000000000000000
χ944-4-444-2-2422-42-22-2-4-2-210-2-212-122-12−232300−4i4i001-11-100−23233−30033−3−300000000000−2i32i3002i−2i002i−2i0000000000000i3−i300000−ii000000000000000000
χ954-4-44-244-2-4-42-44-442-2-240-2-242-422-42004-40000-22-220000000000000000000-224-4000000000000000000000-22000000000000000000000000000
χ964-4-44-244-2-4-42-44-442-2-240-2-242-422-4200-440000-22-2200000000000000000002-2-440000000000000000000002-2000000000000000000000000000
χ974-4-44-24-2-22-42-4-2242-21-20-21-2-122-12223−234-400001-11-100−3323−2300−3−3330000000-22-2200000023−2300000000000001-100000−3300000000000000000000
χ984-4-44-24-2-22-42-4-2242-21-20-21-2-122-12223−23-4400001-11-100−3323−2300−3−33300000002-22-2000000−23230000000000000-11000003−300000000000000000000
χ994-4-44-24-2-22-42-4-2242-21-20-21-2-122-122−23234-400001-11-1003−3−23230033−3−30000000-22-22000000−232300000000000001-1000003−300000000000000000000
χ1004-4-44-24-2-22-42-4-2242-21-20-21-2-122-122−2323-4400001-11-1003−3−23230033−3−300000002-22-200000023−230000000000000-1100000−3300000000000000000000
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
χ10388-8-88-4-4-8448-44-44-8-4-42044-24-2-4-4240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-444-8-484-4-84-42-404-24-24-42-440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4444-4-44-4442220-2-2-2-2-2222-200000000-1-1110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4444-4-44-4442220-2-2-2-2-2222-200000000-1-111000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-8-4-4-844448-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-484-844-8-4-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4848-444-8-84-42-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-4-444444-42220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-4-444444-42220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-4-84448-8-442-4-402-4-444-244-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-44444-44-442220222-2-2-2-2-2-243−43000000-11-1100−2323−23230033−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-44444-44-442220222-2-2-2-2-2-2−4343000000-11-110023−2323−2300−3−3330000000000000000000000000000000000000000000000000000000000000

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