Finite Group Databasebeta

← Group #13170798

Character table — Group #13170798

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121222224446666121212121212121212121212444466666612121212121212121212121212124441212121212122212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-111-1111111-1-111-1-111-1-111-1-1-1-1-1-111111-11111-1-111-1-11-1-1-1-111-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-111111-1-111-1-111-1-111-1-111-1-1-1-11111-1111-1-111-1-111-11-1-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111111111-1-1111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-11-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-1-1-1-111-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1111-1111-1-111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1111-1-11111-1-11-1111-1-111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11
χ17222222-122-122-1-122-1-122-1-122-1-12-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-122220220000-1-1-1-1-1-1-1-122220000-1-1-1-100002200-1-1-1-1-1-1-1-1002-1-1000000000
χ18222222-122-122-1-122-1-122-1-122-1-12-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-20000-1-111-1-11122-2-20000111100002-200-1-111-1-11100-211000000000
χ19222222-122-122-1-122-1-122-1-122-1-12-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-22000011-1-111-1-1-2-222000011110000-220011-1-111-1-100-211000000000
χ20222222-122-122-1-122-1-122-1-122-1-12-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-122220-2-2000011111111-2-2-2-20000-1-1-1-10000-2-20011111111002-1-1000000000
χ21222222-122-122-1-122-1-12-2-1-122-1-12-1-111002222-1-1-1-1-2-2-2-21111111122220-2-200001111-1-1-1-122220000-1-1-1-10000-2-2001111-1-1-1-100-211000000000
χ22222222-122-122-1-122-1-12-2-1-122-1-12-1-1110022-2-2-1-1-1-1-2-2-2-211111111-2-2-2-20-22000011-1-1-1-11122-2-2000011110000-220011-1-1-1-111002-1-1000000000
χ23222222-122-122-1-122-1-12-2-1-122-1-12-1-11100-2-222-1-1-1-1-2-2-2-211111111-2-2-2-202-20000-1-11111-1-1-2-2220000111100002-200-1-11111-1-1002-1-1000000000
χ24222222-122-122-1-122-1-12-2-1-122-1-12-1-11100-2-2-2-2-1-1-1-1-2-2-2-21111111122220220000-1-1-1-11111-2-2-2-20000-1-1-1-100002200-1-1-1-1111100-211000000000
χ2522222-122-122-1222-12-1-122-1-1-12-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-1000020222-1-10022002200-1-100220000-1-12-10-1-1-100-1-100-1-10200000-1-1000-10
χ2622222-122-122-1222-12-1-122-1-1-12-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000020-222-1-100-2-200-2-2001100-2-20000-1-12-101-1-1001100110-2000001100010
χ2722222-122-122-1222-12-1-122-1-1-12-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-10000-202-2-2110022002200-1-100-2-2000011-210-11100-1-100-1-10-2000001100010
χ2822222-122-122-1222-12-1-122-1-1-12-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20-2-2-21100-2-200-2-200110022000011-210111001100110200000-1-1000-10
χ2922222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2220022-1-1-1-1-2111-2-21111110000-20-222-1-100-2-2002200-1-100220000-1-1-210111001100-1-10-200000-1-100010
χ3022222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-22200-2-2-1-1-1-1-2111-2-21111110000-20222-1-1002200-2-2001100-2-20000-1-1-210-11100-1-10011020000011000-10
χ3122222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2-2-20022-1-1-1-1-2111-2-2111111000020-2-2-21100-2-2002200-1-100-2-20000112-101-1-1001100-1-1020000011000-10
χ3222222-122-122-1222-12-1-1-22-1-1-12-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111110000202-2-211002200-2-2001100220000112-10-1-1-100-1-100110-200000-1-100010
χ332222-122-122-1222-12-12-12-12-1-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-10000220-1-12222002200-1-10022000000-1-1-12-10-1-1-1-100-1-10020000-1-10000-100
χ342222-122-122-1222-12-12-12-12-1-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-100002-20-1-122-2-200-2-2001100-2-2000000-1-1-1210-1-111001100-20000110000100
χ352222-122-122-1222-12-12-12-12-1-1-12-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-10000-22011-2-222002200-1-100-2-2000000111-2-1011-1-100-1-100-20000110000100
χ362222-122-122-1222-12-12-12-12-1-1-12-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-2-2011-2-2-2-200-2-200110022000000111-210111100110020000-1-10000-100
χ372222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2222200-1-1-1-11-21111-2-211110000-2-20-1-122-2-2002200-1-10022000000-1-11-210111100-1-100-20000-1-10000100
χ382222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-211110000-220-1-1222200-2-2001100-2-2000000-1-11-2-1011-1-100110020000110000-100
χ392222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-2111100002-2011-2-2-2-2002200-1-100-2-200000011-1210-1-11100-1-10020000110000-100
χ402222-122-122-1222-12-12-1-2-12-1-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111000022011-2-22200-2-20011002200000011-12-10-1-1-1-1001100-20000-1-10000100
χ4122-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2002-2000022-2-200000000000022-2-20002-22-2000000000000000022-2-22-2000000000000000000000002-2000
χ4222-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-2002-2000022-2-2000000000000-2-2220002-22-20000000000000000-2-2222-200000000000000000000000-22000
χ4322-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-200-22000022-2-200000000000022-2-2000-22-22000000000000000022-2-2-2200000000000000000000000-22000
χ4422-2-2222222-2-2-2-2-2-22220222-2-2-2-2-2-200-22000022-2-2000000000000-2-222000-22-220000000000000000-2-222-22000000000000000000000002-2000
χ452-22-2222-2-2-2222-2-2-22220-2-2-2-2222-2-200002i−2i2i−2i2-22-20000000000002-22-2000000000002i−2i2i−2i2i−2i2i−2i00002-22-20000000000002i−2i2i−2i00000000000000
χ462-22-2222-2-2-2222-2-2-22220-2-2-2-2222-2-200002i−2i−2i2i2-22-2000000000000-22-22000000000002i−2i−2i2i2i−2i−2i2i0000-22-220000000000002i−2i−2i2i00000000000000
χ472-22-2222-2-2-2222-2-2-22220-2-2-2-2222-2-20000−2i2i2i−2i2-22-2000000000000-22-2200000000000−2i2i2i−2i−2i2i2i−2i0000-22-22000000000000−2i2i2i−2i00000000000000
χ482-22-2222-2-2-2222-2-2-22220-2-2-2-2222-2-20000−2i2i−2i2i2-22-20000000000002-22-200000000000−2i2i−2i2i−2i2i−2i2i00002-22-2000000000000−2i2i−2i2i00000000000000
χ492-22-222-1-2-2122-11-2-2-1-12011-2-2-1-12113−3002i−2i2i−2i-11-1100003−33−333−3−32-22-20000000−i3i3−i3i3−ii−ii2i−2i2i−2i0000-11-1100000000−i3i3−i3i3−ii−ii0003−3000000000
χ502-22-222-1-2-2122-11-2-2-1-12011-2-2-1-12113−3002i−2i−2i2i-11-1100003−33−333−3−3-22-220000000−i3i3i3−i3−iii−i2i−2i−2i2i00001-11-100000000−i3i3i3−i3−iii−i000−33000000000
χ512-22-222-1-2-2122-11-2-2-1-12011-2-2-1-12113−300−2i2i2i−2i-11-1100003−33−333−3−3-22-220000000i3−i3−i3i3i−i−ii−2i2i2i−2i00001-11-100000000i3−i3−i3i3i−i−ii000−33000000000
χ522-22-222-1-2-2122-11-2-2-1-12011-2-2-1-12113−300−2i2i−2i2i-11-1100003−33−333−3−32-22-20000000i3−i3i3−i3i−ii−i−2i2i−2i2i0000-11-1100000000i3−i3i3−i3i−ii−i0003−3000000000
χ532-22-222-1-2-2122-11-2-2-1-12011-2-2-1-1211−33002i−2i2i−2i-11-110000−33−33−3−3332-22-20000000i3−i3i3−i3−ii−ii2i−2i2i−2i0000-11-1100000000i3−i3i3−i3−ii−ii000−33000000000
χ542-22-222-1-2-2122-11-2-2-1-12011-2-2-1-1211−33002i−2i−2i2i-11-110000−33−33−3−333-22-220000000i3−i3−i3i3−iii−i2i−2i−2i2i00001-11-100000000i3−i3−i3i3−iii−i0003−3000000000
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χ562-22-222-1-2-2122-11-2-2-1-12011-2-2-1-1211−3300−2i2i−2i2i-11-110000−33−33−3−3332-22-20000000−i3i3−i3i3i−ii−i−2i2i−2i2i0000-11-1100000000−i3i3−i3i3i−ii−i000−33000000000
χ572-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-220000000000002-2-2200000000000000000002-22-22-2-220000000000000000000002-22-200000
χ582-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-220000000000002-2-220000000000000000000-22-222-2-22000000000000000000000-22-2200000
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χ602-2-22222-2-2-2-2-2-22222220-2-2-22-2-2-222000000002-2-22000000000000-222-20000000000000000000-222-2-222-2000000000000000000000-222-200000
χ6144444-2-24-2-24-2-2-24-2-21-24-21-2-2-21-2-21-2-200004411114-2-2-2-2-21111110000004000000-2-200-2-200-2-20000000000000-2000011001100000000000000
χ6244444-2-24-2-24-2-2-24-2-21-24-21-2-2-21-2-21-2-20000-4-411114-2-2-2-2-2111111000000-40000002200220022000000000000020000-1-100-1-100000000000000
χ6344444-2-24-2-24-2-2-24-2-21-2-4-21-2-2-21-2-21220000441111-422222-1-1-1-1-1-1000000-40000002200-2-200-2-2000000000000020000-1-1001100000000000000
χ6444444-2-24-2-24-2-2-24-2-21-2-4-21-2-2-21-2-21220000-4-41111-422222-1-1-1-1-1-10000004000000-2-2002200220000000000000-200001100-1-100000000000000
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χ864-44-44-2-2-4224-2-22-42-21-202-122-21-22-123−230000−4i4i1-11-1000023−23−33−3−33300000000000002i3−2i3002i−2i002i−2i000000000000000000−i3i300−ii00000000000000
χ874-44-44-2-2-4224-2-22-42-21-202-122-21-22-1−232300004i−4i1-11-10000−23233−333−3−300000000000002i3−2i300−2i2i00−2i2i000000000000000000−i3i300i−i00000000000000
χ884-44-44-2-2-4224-2-22-42-21-202-122-21-22-1−23230000−4i4i1-11-10000−23233−333−3−30000000000000−2i32i3002i−2i002i−2i000000000000000000i3−i300−ii00000000000000
χ894-44-4-2442-4-4-244-42-4-24-202-422-24-22-400004i−4i00-22-220000000000000000000000000004i−4i00−2i2i0000000000000000000000−2i2i0000000000000000
χ904-44-4-2442-4-4-244-42-4-24-202-422-24-22-40000−4i4i00-22-22000000000000000000000000000−4i4i002i−2i00000000000000000000002i−2i0000000000000000
χ914-44-4-24-22-42-24-222-41-2-20-12221-2-2-1223−23004i−4i001-11-10000−3323−23−3−33300000000000−2i32i300−2i2i00−2i2i000000000000000000i3−i300i−i0000000000000000
χ924-44-4-24-22-42-24-222-41-2-20-12221-2-2-1223−2300−4i4i001-11-10000−3323−23−3−333000000000002i3−2i3002i−2i002i−2i000000000000000000−i3i300−ii0000000000000000
χ934-44-4-24-22-42-24-222-41-2-20-12221-2-2-12−2323004i−4i001-11-100003−3−232333−3−3000000000002i3−2i300−2i2i00−2i2i000000000000000000−i3i300i−i0000000000000000
χ944-44-4-24-22-42-24-222-41-2-20-12221-2-2-12−232300−4i4i001-11-100003−3−232333−3−300000000000−2i32i3002i−2i002i−2i000000000000000000i3−i300−ii0000000000000000
χ954-4-4444-2-4-42-4-42-244-2-24022-4422-4-2-200000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ964-4-4444-2-4-42-4-42-244-2-24022-4422-4-2-200000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ974-4-444-24-42-4-42-444-24-2-20-422-2-4224-200000000-222-200000000000000000000000000000000000004-4000000000000000000000000000-2200000
χ984-4-444-24-42-4-42-444-24-2-20-422-2-4224-200000000-222-20000000000000000000000000000000000000-440000000000000000000000000002-200000
χ994-4-44-2442-4-42-4-44-24-24-202-42-22-42-2400000000-222-2000000000000000000000000000000000004-4000000000000000000000000000-220000000
χ1004-4-44-2442-4-42-4-44-24-24-202-42-22-42-2400000000-222-200000000000000000000000000000000000-440000000000000000000000000002-20000000
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
χ10388-8-88-4-48-4-4-8444-84-42-40-42-444-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-4-48-44-8444-82-4-402-4-44-244-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4844-8-4-48-844-4-42044-2-2-4-4244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-4-4-44442220-2-2-2-2222-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4444-4-4-44442220-2-2-2-2222-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-844-844-48-4-42-404-24-44-24-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-844-84-4-482-4-40-244-4-2442-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-844-88-4-4-4-42044-2244-2-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-2-2-22-2-2-22200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-2-2-22-2-2-22200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000

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