Finite Group Databasebeta

← Group #13170760

Character table — Group #13170760

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222444436661212121212121212121212122222244666612121212121212121212121244446666666666121212121212121212124441212121212122212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-111-1111111-1-111-1-111-1-111-1-1-1-1-1-11111111-111-1-111-1-11-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-111111-1-111-1-111-1-111-1-111-1-1-1-1111111-11-1-111-1-111-11-1-1-111-1-1-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-11-1-1-1-111-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-11-1-1-111-1-111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-11111-1-111-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-11-111-1-1-1-1111-11-1-11111-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-11-1-11111-1-11-11-1-11111111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111-111-1-1-1-111-11111-1-11111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ17222222-1-122-12222-1-1-122-1-1222-1-1-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-122220220000-1-1-1-12222-1-1-1-10000-1-1-1-100000022-1-1-1-1-1-1-1-10020000-1-100000
χ18222222-1-122-12222-1-1-122-1-1222-1-1-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-202-20000-1-11122-2-2-1-111000011110000002-2-1-111-1-11100-200001100000
χ19222222-1-122-12222-1-1-122-1-1222-1-1-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-22000011-1-1-2-22211-1-100001111000000-2211-1-111-1-100-200001100000
χ20222222-1-122-12222-1-1-122-1-1222-1-1-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-122220-2-200001111-2-2-2-211110000-1-1-1-1000000-2-2111111110020000-1-100000
χ21222222-1-122-12222-1-1-12-2-1-1222-1-1-1-111002222-1-1-1-1-2-2-2-21111111122220-2-2000011112222-1-1-1-10000-1-1-1-1000000-2-21111-1-1-1-100-200001100000
χ22222222-1-122-12222-1-1-12-2-1-1222-1-1-1-1110022-2-2-1-1-1-1-2-2-2-211111111-2-2-2-20-22000011-1-122-2-2-1-11100001111000000-2211-1-1-1-1110020000-1-100000
χ23222222-1-122-12222-1-1-12-2-1-1222-1-1-1-11100-2-222-1-1-1-1-2-2-2-211111111-2-2-2-202-20000-1-111-2-22211-1-1000011110000002-2-1-11111-1-10020000-1-100000
χ24222222-1-122-12222-1-1-12-2-1-1222-1-1-1-11100-2-2-2-2-1-1-1-1-2-2-2-21111111122220220000-1-1-1-1-2-2-2-211110000-1-1-1-100000022-1-1-1-1111100-200001100000
χ2522222-1222-122-12-122-1-122-1-1-1-12-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-1000020222-1-1002200-1-10022002200002-1-1-1-1-10-100-1-100-1-102000-1-100000-10
χ2622222-1222-122-12-122-1-122-1-1-1-12-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000020-222-1-100-2-2001100-2-200-2-200002-1-1-1-1-101001100110-2000110000010
χ2722222-1222-122-12-122-1-122-1-1-1-12-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-10000-202-2-211002200-1-1002200-2-20000-2111110-100-1-100-1-10-2000110000010
χ2822222-1222-122-12-122-1-122-1-1-1-12-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20-2-2-21100-2-2001100-2-200220000-211111010011001102000-1-100000-10
χ2922222-1222-122-12-122-1-1-22-1-1-1-12-12-1-2-2220022-1-1-1-1-2111-2-21111110000-20-222-1-100-2-200-1-1002200220000-21-1-11101001100-1-10-2000-1-10000010
χ3022222-1222-122-12-122-1-1-22-1-1-1-12-12-1-2-22200-2-2-1-1-1-1-2111-2-21111110000-20222-1-10022001100-2-200-2-20000-21-1-1110-100-1-10011020001100000-10
χ3122222-1222-122-12-122-1-1-22-1-1-1-12-12-1-2-2-2-20022-1-1-1-1-2111-2-2111111000020-2-2-21100-2-200-1-1002200-2-200002-111-1-101001100-1-1020001100000-10
χ3222222-1222-122-12-122-1-1-22-1-1-1-12-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111110000202-2-2110022001100-2-2002200002-111-1-10-100-1-100110-2000-1-10000010
χ332222-1222-122-12-122-12-12-12-1-1-1-12-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-10000220-1-1222200-1-100220022000000-12-1-1-1-1-10-1-100-1-100200-1-1000000-100
χ342222-1222-122-12-122-12-12-12-1-1-1-12-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-100002-20-1-122-2-2001100-2-200-2-2000000-12-1-1-1-11011001100-20011000000100
χ352222-1222-122-12-122-12-12-12-1-1-1-12-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-10000-22011-2-22200-1-1002200-2-20000001-21111-10-1-100-1-100-20011000000100
χ362222-1222-122-12-122-12-12-12-1-1-1-12-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-10000-2-2011-2-2-2-2001100-2-200220000001-211111011001100200-1-1000000-100
χ372222-1222-122-12-122-12-1-2-12-1-1-1-12-12-2-2222200-1-1-1-11-21111-2-211110000-2-20-1-122-2-200-1-1002200220000001-2-1-111101100-1-100-200-1-1000000100
χ382222-1222-122-12-122-12-1-2-12-1-1-1-12-12-2-222-2-200-1-1-1-11-21111-2-211110000-220-1-12222001100-2-200-2-20000001-2-1-111-10-1-100110020011000000-100
χ392222-1222-122-12-122-12-1-2-12-1-1-1-12-12-2-2-2-22200-1-1-1-11-21111-2-2111100002-2011-2-2-2-200-1-1002200-2-2000000-1211-1-1101100-1-10020011000000-100
χ402222-1222-122-12-122-12-1-2-12-1-1-1-12-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111000022011-2-222001100-2-20022000000-1211-1-1-10-1-1001100-200-1-1000000100
χ4122-2-2222-2222-2-2-2-2-22220-2-22-2-222-2-200002i−2i2i−2i22-2-200000000000022-2-2000000000002i−2i2i−2i2i−2i2i−2i000022-2-20000000000002i−2i2i−2i00000000000000
χ4222-2-2222-2222-2-2-2-2-22220-2-22-2-222-2-200002i−2i−2i2i22-2-2000000000000-2-222000000000002i−2i−2i2i2i−2i−2i2i0000-2-2220000000000002i−2i−2i2i00000000000000
χ4322-2-2222-2222-2-2-2-2-22220-2-22-2-222-2-20000−2i2i2i−2i22-2-2000000000000-2-22200000000000−2i2i2i−2i−2i2i2i−2i0000-2-222000000000000−2i2i2i−2i00000000000000
χ4422-2-2222-2222-2-2-2-2-22220-2-22-2-222-2-20000−2i2i−2i2i22-2-200000000000022-2-200000000000−2i2i−2i2i−2i2i−2i2i000022-2-2000000000000−2i2i−2i2i00000000000000
χ4522-2-222-1122-1-2-2-2-21-1-120112-2-2-1-1113−3002i−2i2i−2i-1-11100003−33−333−3−322-2-20000000−i3i3−i3i32i−2i2i−2i−ii−ii0000-1-11100000000−i3i3−i3i3−ii−ii00000003−300000
χ4622-2-222-1122-1-2-2-2-21-1-120112-2-2-1-1113−3002i−2i−2i2i-1-11100003−33−333−3−3-2-2220000000−i3i3i3−i32i−2i−2i2i−iii−i000011-1-100000000−i3i3i3−i3−iii−i0000000−3300000
χ4722-2-222-1122-1-2-2-2-21-1-120112-2-2-1-1113−300−2i2i2i−2i-1-11100003−33−333−3−3-2-2220000000i3−i3−i3i3−2i2i2i−2ii−i−ii000011-1-100000000i3−i3−i3i3i−i−ii0000000−3300000
χ4822-2-222-1122-1-2-2-2-21-1-120112-2-2-1-1113−300−2i2i−2i2i-1-11100003−33−333−3−322-2-20000000i3−i3i3−i3−2i2i−2i2ii−ii−i0000-1-11100000000i3−i3i3−i3i−ii−i00000003−300000
χ4922-2-222-1122-1-2-2-2-21-1-120112-2-2-1-111−33002i−2i2i−2i-1-1110000−33−33−3−33322-2-20000000i3−i3i3−i32i−2i2i−2i−ii−ii0000-1-11100000000i3−i3i3−i3−ii−ii0000000−3300000
χ5022-2-222-1122-1-2-2-2-21-1-120112-2-2-1-111−33002i−2i−2i2i-1-1110000−33−33−3−333-2-2220000000i3−i3−i3i32i−2i−2i2i−iii−i000011-1-100000000i3−i3−i3i3−iii−i00000003−300000
χ5122-2-222-1122-1-2-2-2-21-1-120112-2-2-1-111−3300−2i2i2i−2i-1-1110000−33−33−3−333-2-2220000000−i3i3i3−i3−2i2i2i−2ii−i−ii000011-1-100000000−i3i3i3−i3i−i−ii00000003−300000
χ5222-2-222-1122-1-2-2-2-21-1-120112-2-2-1-111−3300−2i2i−2i2i-1-1110000−33−33−3−33322-2-20000000−i3i3−i3i3−2i2i−2i2ii−ii−i0000-1-11100000000−i3i3−i3i3i−ii−i0000000−3300000
χ532-22-22222-2-2-222-2-2-2222022-22-2-2-2-2-2000000002-22-20000000000002-22-200000000000000000002i−2i2i−2i2-22-200000000000000000002i−2i2i−2i0000000
χ542-22-22222-2-2-222-2-2-2222022-22-2-2-2-2-2000000002-22-20000000000002-22-20000000000000000000−2i2i−2i2i2-22-20000000000000000000−2i2i−2i2i0000000
χ552-22-22222-2-2-222-2-2-2222022-22-2-2-2-2-2000000002-22-2000000000000-22-2200000000000000000002i−2i−2i2i-22-2200000000000000000002i−2i−2i2i0000000
χ562-22-22222-2-2-222-2-2-2222022-22-2-2-2-2-2000000002-22-2000000000000-22-220000000000000000000−2i2i2i−2i-22-220000000000000000000−2i2i2i−2i0000000
χ572-2-22222-2-2-2-2-2-22222220-2-2-2-22-2-222002-200002-2-220000000000002-2-220002-22-200000000000000002-2-22002-20000000000000000000002-2000
χ582-2-22222-2-2-2-2-2-22222220-2-2-2-22-2-222002-200002-2-22000000000000-222-20002-22-20000000000000000-222-2002-2000000000000000000000-22000
χ592-2-22222-2-2-2-2-2-22222220-2-2-2-22-2-22200-2200002-2-220000000000002-2-22000-22-2200000000000000002-2-2200-22000000000000000000000-22000
χ602-2-22222-2-2-2-2-2-22222220-2-2-2-22-2-22200-2200002-2-22000000000000-222-2000-22-220000000000000000-222-200-220000000000000000000002-2000
χ6144444-2-2-24-2-24-24-2-2-21-24-21-2-2-2-21-21-2-200004411114-2-2-2-2-21111110000004000000-2-200-2-200-2-2000000000000000-20011001100000000000000
χ6244444-2-2-24-2-24-24-2-2-21-24-21-2-2-2-21-21-2-20000-4-411114-2-2-2-2-2111111000000-40000002200220022000000000000000200-1-100-1-100000000000000
χ6344444-2-2-24-2-24-24-2-2-21-2-4-21-2-2-2-21-21220000441111-422222-1-1-1-1-1-1000000-40000002200-2-200-2-2000000000000000200-1-1001100000000000000
χ6444444-2-2-24-2-24-24-2-2-21-2-4-21-2-2-2-21-21220000-4-41111-422222-1-1-1-1-1-10000004000000-2-200220022000000000000000-2001100-1-100000000000000
χ654444-24-2-2-24-2-24-24-21-2-241-2-2-2-21-21-2-2-20044001111-24-2-211-2-2111100000400000-2-200-2-200-2-20000000000000000-201100110000000000000000
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χ714444-2-244-2-24-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-4440000111122-1-12222-1-1-1-10000-400-2-2-2-2000000000000000000002211-1-1000000000000000000000000
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χ7744-4-44-2-224-2-2-42-422-21-202-1-222-212-1−232300004i−4i11-1-10000−23233−333−3−300000000000002i3−2i300−2i2i00−2i2i000000000000000000−i3i300i−i00000000000000
χ7844-4-44-2-224-2-2-42-422-21-202-1-222-212-1−23230000−4i4i11-1-10000−23233−333−3−30000000000000−2i32i3002i−2i002i−2i000000000000000000i3−i300−ii00000000000000
χ7944-4-4-244-4-2442-42-4-4-24-202-4-222-242-400004i−4i00-2-222000000000000000000000000000−2i2i004i−4i0000000000000000000000−2i2i0000000000000000
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χ8344-4-4-24-22-24-22-42-421-2-20-12-2221-2-12−2323004i−4i0011-1-100003−3−232333−3−3000000000002i3−2i300−2i2i00−2i2i000000000000000000−i3i300i−i0000000000000000
χ8444-4-4-24-22-24-22-42-421-2-20-12-2221-2-12−232300−4i4i0011-1-100003−3−232333−3−300000000000−2i32i3002i−2i002i−2i000000000000000000i3−i300−ii0000000000000000
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χ874-44-44-244-42-44-2-42-44-2-204-22-22-42-4200000000-22-2200000000000000000000000000000000000004i−4i0000000000000000000000000−2i2i0000000
χ884-44-44-244-42-44-2-42-44-2-204-22-22-42-4200000000-22-220000000000000000000000000000000000000−4i4i00000000000000000000000002i−2i0000000
χ894-44-4-24442-4-4-242-4-4-24-20-242-222-42-400000000-22-22000000000000000000000000000000000004i−4i0000000000000000000000000−2i2i000000000
χ904-44-4-24442-4-4-242-4-4-24-20-242-222-42-400000000-22-2200000000000000000000000000000000000−4i4i00000000000000000000000002i−2i000000000
χ914-4-4444-22-4-42-4-444-2-2-24022-4-4422-2-200000000-222-20000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ924-4-4444-22-4-42-4-444-2-2-24022-4-4422-2-200000000-222-2000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ934-4-444-24-4-42-4-424-244-2-20-4222-2-424-2004-40000-222-200000000000000000004-4-220000000000000000000000-2200000000000000000000000000
χ944-4-444-24-4-42-4-424-244-2-20-4222-2-424-200-440000-222-20000000000000000000-442-200000000000000000000002-200000000000000000000000000
χ954-4-44-244-42-4-42-4-244-24-202-422-22-4-24004-40000-222-20000000000000000000-224-40000000000000000000000-2200000000000000000000000000
χ964-4-44-244-42-4-42-4-244-24-202-422-22-4-2400-440000-222-200000000000000000002-2-4400000000000000000000002-200000000000000000000000000
χ974-4-44-2-24-422-422-2-24-2-21022-1-1122-2-2004-400001-1-11003-300003-33-30000000-22-2200000000000000000000001-13-3000000000000000000000000
χ984-4-44-2-24-422-422-2-24-2-21022-1-1122-2-2004-400001-1-1100-330000-33-330000000-22-2200000000000000000000001-1-33000000000000000000000000
χ994-4-44-2-24-422-422-2-24-2-21022-1-1122-2-200-4400001-1-11003-300003-33-300000002-22-20000000000000000000000-11-33000000000000000000000000
χ1004-4-44-2-24-422-422-2-24-2-21022-1-1122-2-200-4400001-1-1100-330000-33-3300000002-22-20000000000000000000000-113-3000000000000000000000000
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
χ10388-8-8-4-48-8-4-484444-8-4-420442-2-2-4-4440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-44-4-4-4444442220-2-22-2-222-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-4-4-4444442220-2-22-2-222-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-4-4-4-8448-4-844-42-40-424-444-24-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-48-4-44-84-484-842-4-402-44-44-24-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-48844-8-4-444-8-4-420-4-4-22-24444000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-4444-4-4444222022-22-2-2-2-2-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4444-4-4444222022-22-2-2-2-2-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-44-844-848-4-4-42-404-244-44-2-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-444-844-8-48-42-4-40-2444-4-242-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-2-2-2-22-2-22200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-2-2-2-22-2-22200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000000

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