Finite Group Databasebeta

← Group #13168026

Character table — Group #13168026

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212224412121212366612121212121212121222446666666666666612121212121212124466666121212121212122244466121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1111111111-1-111111111111111-111-1-11-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-11-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111111111-1-1-11111-1-1111111-1-1111111-1-11-1-111-111-1-111-1-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-111-1-11-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11-1-1-1111-1-111-11-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-11-11-1-1-1-1-1111-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-111-11111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-111-11-1-111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-1111-1-111-1-1-111-11-1-111-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-111-11111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-11111-1-111111111-1-1-1-1-1-1111-1-1111-1-111-1-1-11-11-1-1-1-1-1111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1111-1-111-11-1-11
χ17222222-1-122-1-122222-1-1222-1-1-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10222220000-1-1-1-1000022000000002-1-1-1-1-12-1-1-1-1-122000-1-10000-10000
χ18222222-1-122-1-122222-1-1222-1-1-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-22220000-1-11100002200000000-2-1-111-1-21-1-111-2-200011000010000
χ19222222-1-122-1-122222-1-1222-1-1-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1022-2-2-2000011-1-10000-2-200000000211-1-112-111-1-1-2-200011000010000
χ20222222-1-122-1-122222-1-1222-1-1-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2000011110000-2-200000000-211111-21111122000-1-10000-10000
χ21222222-1-122-1-122222-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-111111111102-2-2220000-1-1-1-10000-2-2000000002-1-1-1-11-2111112-2000-1-1000010000
χ22222222-1-122-1-122222-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-22-2220000-1-1110000-2-200000000-2-1-11112-111-1-1-22000110000-10000
χ23222222-1-122-1-122222-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111102-22-2-2000011-1-100002200000000211-1-1-1-21-1-111-22000110000-10000
χ24222222-1-122-1-122222-1-1-222-1-1-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-11111111110-222-2-20000111100002200000000-21111-12-1-1-1-1-12-2000-1-1000010000
χ2522222-1222-1222-12-1-12-12-1-12-12-12-1-122-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-122200022-1-10022-1-1-1-100-1-1-1-1-1-100-100-1-10-1200-1-1000220000000-1-100
χ2622222-1222-1222-12-1-12-12-1-12-12-12-1-122-1-1-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-12-2-200022-1-100-2-2-1-1-1-100-1-1-1-1-1-1001001101-20011000-2-200000001100
χ2722222-1222-1222-12-1-12-12-1-12-12-12-1-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-222000-2-211002211110011111100-100-1-10-1200-1-1000-2-200000001100
χ2822222-1222-1222-12-1-12-12-1-12-12-12-1-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-2000-2-21100-2-2111100111111001001101-20011000220000000-1-100
χ2922222-1222-1222-12-1-12-1-2-1-12-12-12-1-1-2-211111100222222-1-1-1-1-2-2-2111111-22-2000-2-2110022111100-1-1-1-1-1-100-100-1-101-20011000-220000000-1100
χ3022222-1222-1222-12-1-12-1-2-1-12-12-12-1-1-2-211111100222222-1-1-1-1-2-2-2111111-2-22000-2-21100-2-2111100-1-1-1-1-1-100100110-1200-1-10002-200000001-100
χ3122222-1222-1222-12-1-12-1-2-1-12-12-12-1-1-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-211111122-200022-1-10022-1-1-1-10011111100-100-1-101-200110002-200000001-100
χ3222222-1222-1222-12-1-12-1-2-1-12-12-12-1-1-2-211111100-2-2-2-2-2-2-1-1-1-1-2-2-21111112-2200022-1-100-2-2-1-1-1-10011111100100110-1200-1-1000-220000000-1100
χ332222-1222-1222-12-12-1-122-1-1-12-12-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-12002-1-1-1-1222200-1-1-1-1-1-122-1-1-1-1220-1-100200-1-1000020000-1-1-1-100000
χ342222-1222-1222-12-12-1-122-1-1-12-12-12-1-1-122-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-1-2002-1-111-2-222001111-1-1-2-21111-2-20-1-100200-1-10000-20000111100000
χ352222-1222-1222-12-12-1-122-1-1-12-12-12-1-1-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1200-211-1-122-2-200-1-1-1-11122-1-1-1-1-2-201100-200110000-20000111100000
χ362222-1222-1222-12-12-1-122-1-1-12-12-12-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-21111-2-2-2-200111111-2-211112201100-20011000020000-1-1-1-100000
χ372222-1222-1222-12-12-1-12-2-1-1-12-12-12-111-2-211112222-1-1-1-1-1-1-1-1-211-2-21111-200-2-1-111-2-2220011111122-1-1-1-1220-1-100-200110000-2000011-1-100000
χ382222-1222-1222-12-12-1-12-2-1-1-12-12-12-111-2-2111122-2-21111-1-1-1-1-211-2-21111200-2-1-1-1-1222200-1-1-1-111-2-21111-2-20-1-100-20011000020000-1-11100000
χ392222-1222-1222-12-12-1-12-2-1-1-12-12-12-111-2-21111-2-222-1-1-1-1-1-1-1-1-211-2-21111-20021111-2-2-2-2001111-1-122-1-1-1-1-2-201100200-1-1000020000-1-11100000
χ402222-1222-1222-12-12-1-12-2-1-1-12-12-12-111-2-21111-2-2-2-21111-1-1-1-1-211-2-21111200211-1-122-2-200-1-1-1-1-1-1-2-211112201100200-1-10000-2000011-1-100000
χ4122-2-2222-2-222-22-2-2-222202-22-2-2-2-22-2000000002-22i−2i2i2i−2i−2i22-2-200000000000002-200002-2000000002i−2i2i2i−2i−2i2i−2i02-20000000000000000002i−2i00000
χ4222-2-2222-2-222-22-2-2-222202-22-2-2-2-22-2000000002-2−2i2i−2i−2i2i2i22-2-200000000000002-200002-200000000−2i2i−2i−2i2i2i−2i2i02-2000000000000000000−2i2i00000
χ4322-2-2222-2-222-22-2-2-222202-22-2-2-2-22-200000000-222i−2i2i2i−2i−2i22-2-20000000000000-220000-22000000002i−2i2i2i−2i−2i−2i2i0-22000000000000000000−2i2i00000
χ4422-2-2222-2-222-22-2-2-222202-22-2-2-2-22-200000000-22−2i2i−2i−2i2i2i22-2-20000000000000-220000-2200000000−2i2i−2i−2i2i2i2i−2i0-220000000000000000002i−2i00000
χ4522-2-2-122-2122-2-1-21-2-1-120-11-1-21-21213−30033−3−32-22i−2i−i−iii-1-11103−30033−3−30000-11−i3i3002-200−i3−i3i3i33−32i−2i−i−iii2i−2i0-11000003−3000000000−i3i3−ii00000
χ4622-2-2-122-2122-2-1-21-2-1-120-11-1-21-21213−30033−3−32-2−2i2iii−i−i-1-11103−30033−3−30000-11i3−i3002-200i3i3−i3−i33−3−2i2iii−i−i−2i2i0-11000003−3000000000i3−i3i−i00000
χ4722-2-2-122-2122-2-1-21-2-1-120-11-1-21-21213−30033−3−3-222i−2i−i−iii-1-11103−30033−3−300001-1−i3i300-2200−i3−i3i3i3−332i−2i−i−iii−2i2i01-100000−33000000000i3−i3i−i00000
χ4822-2-2-122-2122-2-1-21-2-1-120-11-1-21-21213−30033−3−3-22−2i2iii−i−i-1-11103−30033−3−300001-1i3−i300-2200i3i3−i3−i3−33−2i2iii−i−i2i−2i01-100000−33000000000−i3i3−ii00000
χ4922-2-2-122-2122-2-1-21-2-1-120-11-1-21-2121−3300−3−3332-22i−2i−i−iii-1-1110−3300−3−3330000-11i3−i3002-200i3i3−i3−i3−332i−2i−i−iii2i−2i0-1100000−33000000000i3−i3−ii00000
χ5022-2-2-122-2122-2-1-21-2-1-120-11-1-21-2121−3300−3−3332-2−2i2iii−i−i-1-1110−3300−3−3330000-11−i3i3002-200−i3−i3i3i3−33−2i2iii−i−i−2i2i0-1100000−33000000000−i3i3i−i00000
χ5122-2-2-122-2122-2-1-21-2-1-120-11-1-21-2121−3300−3−333-222i−2i−i−iii-1-1110−3300−3−33300001-1i3−i300-2200i3i3−i3−i33−32i−2i−i−iii−2i2i01-1000003−3000000000−i3i3i−i00000
χ5222-2-2-122-2122-2-1-21-2-1-120-11-1-21-2121−3300−3−333-22−2i2iii−i−i-1-1110−3300−3−33300001-1−i3i300-2200−i3−i3i3i33−3−2i2iii−i−i2i−2i01-1000003−3000000000i3−i3−ii00000
χ5344444-2-2-24-2-2-24-24-2-2-214-2-2-21-21-21-244-2-2-2-2-2-2000000001111-2-2-2111111044000000000-2-200000000000000-200110-2-200110000000000000000
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χ5544444-2-2-24-2-2-24-24-2-2-21-4-2-2-21-21-21-2-4-4222222000000001111222-1-1-1-1-1-104-4000000000-2-200000000000000-2001102200-1-10000000000000000
χ5644444-2-2-24-2-2-24-24-2-2-21-4-2-2-21-21-21-2-4-4222222000000001111222-1-1-1-1-1-10-440000000002200000000000000200-1-10-2-200110000000000000000
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χ6944-4-4-24-2224-22-2-42-4-21-20-2212-12-1-2223−23002323−23−234-400000011-1-10−3300−3−3330000-220000-2200000023−230000000001-100000−33000000000000000000
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χ834-44-4-24442-4-4-42-4-24-2-240222-4-242-4-20000000000002i3−2i32i3−2i3-222-200000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ844-44-4-2-24422-4-422-2-21-2-20-1-122-2-222100003-33-30000−2i32i3−2i32i31-1-11000003-33-300000000−2i32i30000i3−i3i3−i30000i3−i3i3−i3000000000000000000000000000000
χ854-44-4-2-24422-4-422-2-21-2-20-1-122-2-222100003-33-300002i3−2i32i3−2i31-1-11000003-33-3000000002i3−2i30000−i3i3−i3i30000−i3i3−i3i3000000000000000000000000000000
χ864-44-4-2-24422-4-422-2-21-2-20-1-122-2-22210000-33-330000−2i32i3−2i32i31-1-1100000-33-33000000002i3−2i30000−i3i3−i3i30000i3−i3i3−i3000000000000000000000000000000
χ874-44-4-2-24422-4-422-2-21-2-20-1-122-2-22210000-33-3300002i3−2i32i3−2i31-1-1100000-33-3300000000−2i32i30000i3−i3i3−i30000−i3i3−i3i3000000000000000000000000000000
χ884-4-44444-44-4-44-44-4-44440-44-44-4-44-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-224-42-2-44-4-44-2-20-442-222-22-40000000000000000-22-22000000000000000000000−2i32i300000000000000000−2i32i300000000000000000000000
χ904-4-4444-224-42-2-44-4-44-2-20-442-222-22-40000000000000000-22-220000000000000000000002i3−2i3000000000000000002i3−2i300000000000000000000000
χ914-4-444-24-442-44-4-2-42-24-202-2-4-2-424220023−2323−23−232300000000-22-2200023−2323−23−232300000000000000000000000000000000000000000000000000000000
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χ944-4-444-2-22422-2-4-2-42-2-2102-2212-1-2-120023−2323−23−2323000000001-11-1000−33−333−30000000000002i3−2i300000000000000000−i3i300000−3i3i0000000000000000
χ954-4-444-2-22422-2-4-2-42-2-2102-2212-1-2-1200−2323−232323−23000000001-11-10003−33−3−33000000000000−2i32i300000000000000000i3−i300000−3i3i0000000000000000
χ964-4-444-2-22422-2-4-2-42-2-2102-2212-1-2-1200−2323−232323−23000000001-11-10003−33−3−330000000000002i3−2i300000000000000000−i3i3000003i−3i0000000000000000
χ974-4-44-244-4-2-4-44242-4-2-2402-2242-4-2-4200000000000023−23−2323-22-22000000000000000000000000000000023−23−2323000000000000000000000000000000
χ984-4-44-244-4-2-4-44242-4-2-2402-2242-4-2-42000000000000−232323−23-22-220000000000000000000000000000000−232323−23000000000000000000000000000000
χ994-4-44-2-24-4-22-442-2221-2-20-112-222-22-10023−23−333−3000023−23−23231-11-100023−23−333−3000000000000003-3-330000−333−3000000000000000000000000000000
χ1004-4-44-2-24-4-22-442-2221-2-20-112-222-22-10023−23−333−30000−232323−231-11-100023−23−333−300000000000000-333-300003−3−33000000000000000000000000000000
χ1014-4-44-2-24-4-22-442-2221-2-20-112-222-22-100−23233−3−33000023−23−23231-11-1000−23233−3−3300000000000000-333-30000−333−3000000000000000000000000000000
χ1024-4-44-2-24-4-22-442-2221-2-20-112-222-22-100−23233−3−330000−232323−231-11-1000−23233−3−33000000000000003-3-3300003−3−33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-44-8-4-4484-84-4-420-44-4-24-2424000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-444-4-44-444422202-22-2-2-2-22-243−4300−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-444-4-44-444422202-22-2-2-2-22-2−4343002323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-4-8444-848-4-4-420444-2-424-2-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4-44-8444-8-48-42-4044-242-4-24-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4444444-4-42220-2-2-2-222-2-2200006-66-600000000-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-4444444-4-42220-2-2-2-222-2-220000-66-6600000000-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44-4-84-4484-8-42-404-4-2-4-2424400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44-444-44-4442220-22-22-2-22-2-20043−43−232323−2300000000-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44-444-44-4442220-22-22-2-22-2-200−434323−23−232300000000-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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