Finite Group Databasebeta

← Group #13169276

Character table — Group #13169276

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212444412121212366612121212121212121244441212121212121212121212121212121212121212121244121212121212121212121212222446612121212661244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-11111-1-11111111111111111111-1-1-111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111-1-11111-1-111-1-111111111-1-1-1111-1-111-1-1111-1-11-1-1-1-1-1-1-11-11-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-11-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-111
χ51111111111111111111111111111111111111-1-111-1-1-1-111111111111111-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-11-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-1-1-11-1-11111-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-11-11-1-11111-1-1-11-11-1-1-1-1-111-1111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-111111-11-1-111-1-1111-1-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1-11111111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-1-1-11111-1-11-1-111-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-11-11-1-11111-1-111-1-11-1-111-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-11111111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-111111-1-1-1-11-11-1-111-1-1111-1-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-11111111-11-111-1-1-1-111-11-11-1-1-1-1-111-111-11
χ17222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1202200-1-1-1-1002200220000000000-1-122-1-1-1-1-1-1-1-102200-1-100000-1000
χ18222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-200-1-111002200220000000000-11-2-2-1-111-1-1110-2-20011000001000
χ19222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-120-220011-1-100-2-200-2-200000000001-12211-1-111-1-10-2-20011000001000
χ20222222-12-1-122-12222-1-12-1-1222-1-1-1-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-200111100-2-200-2-2000000000011-2-21111111102200-1-100000-1000
χ21222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200220000-1-1-1-111111111120-2-200-1-111002200-2-200000000001-1-2211-1-1-1-11102-2001100000-1000
χ22222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-20-2200-1-1-1-1002200-2-20000000000112-21111-1-1-1-10-2200-1-1000001000
χ23222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111202-200111100-2-200220000000000-1-1-22-1-1-1-111110-2200-1-1000001000
χ24222222-12-1-122-12222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111-20220011-1-100-2-200220000000000-112-2-1-11111-1-102-2001100000-1000
χ2522222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12202-1-10022-1-1002200-1-1-1-1-1-1-1-10002-1-100-1-100-1-120020000000-10-100
χ2622222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-1-220-2-1-100-2-2-1-1002200-1-1-1-1-1-1-1-1000-21100110011-200-2000000010100
χ2722222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-12-2021100221100-2-200111111110002-1-100-1-100-1-1-200-2000000010100
χ2822222-12222-1-12-122-12-122-1-1-1-12-12-1-1-122-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-21100-2-21100-2-20011111111000-2110011001120020000000-10-100
χ2922222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-2111122002222-1-1-1-1-2-2-21111112-20-2-1-100-2-21100-2-200-1-1-1-1111100021-100-1-10011-2002000000010-100
χ3022222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-2111122002222-1-1-1-1-2-2-2111111-2-202-1-100221100-2-200-1-1-1-11111000-2-11001100-1-1200-20000000-10100
χ3122222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-21111-2-200-2-2-2-2-1-1-1-1-2-2-2111111220-21100-2-2-1-10022001111-1-1-1-100021-100-1-10011200-20000000-10100
χ3222222-12222-1-12-122-12-1-22-1-1-1-12-12-111-2-21111-2-200-2-2-2-2-1-1-1-1-2-2-2111111-2202110022-1-10022001111-1-1-1-1000-2-11001100-1-1-2002000000010-100
χ332222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022022220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000-1-100-1-1000000200-1-1-1-100000
χ342222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-102-2022-2-2002211-1-111-1-1-1-1-1-1-1-1-2-2-2000110011000000-200111100000
χ352222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-10-220-2-22200-2-2-1-111-1-111111111-2-22000-1-100-1-1000000-200111100000
χ362222-122-1222222-1-1-1-122-12-1-1-1-12-1222-1-1-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-20-2-2-2-200-2-21111111111111122-2000110011000000200-1-1-1-100000
χ372222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-21111112222-1-1-1-1-1-1-1-1-211-2-211110-2-20222200-2-2-1-11111-1-1-1-1111122-20001100-1-1000000-20011-1-100000
χ382222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-211111122-2-2-1-1-1-1-1-1-1-1-211-2-211110-22022-2-200-2-21111-1-1-1-1-1-11111-2-22000-1-10011000000200-1-11100000
χ392222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-2111111-2-2221111-1-1-1-1-211-2-2111102-20-2-2220022-1-1-1-1111111-1-1-1-1-2-2-20001100-1-1000000200-1-11100000
χ402222-122-1222222-1-1-1-12-2-12-1-1-1-12-12-2-2111111-2-2-2-21111-1-1-1-1-211-2-211110220-2-2-2-2002211-1-1-1-11111-1-1-1-1222000-1-10011000000-20011-1-100000
χ412-22-2222-22-2-2-2-22-222220-22-22-22-2-2-2000000002i−2i2i−2i2i2i−2i−2i22-2-200000000000002i−2i2i−2i00002i−2i00002i2i−2i−2i00002-2000000002i−2i000000000002-200000
χ422-22-2222-22-2-2-2-22-222220-22-22-22-2-2-2000000002i−2i−2i2i2i2i−2i−2i22-2-200000000000002i−2i−2i2i0000−2i2i00002i2i−2i−2i0000-2200000000−2i2i00000000000-2200000
χ432-22-2222-22-2-2-2-22-222220-22-22-22-2-2-200000000−2i2i2i−2i−2i−2i2i2i22-2-20000000000000−2i2i2i−2i00002i−2i0000−2i−2i2i2i0000-22000000002i−2i00000000000-2200000
χ442-22-2222-22-2-2-2-22-222220-22-22-22-2-2-200000000−2i2i−2i2i−2i−2i2i2i22-2-20000000000000−2i2i−2i2i0000−2i2i0000−2i−2i2i2i00002-200000000−2i2i000000000002-200000
χ452-22-2-12212-2-2-2-221-1-1-120121-11-1-21-2003−333−3−32i−2i2i−2i−i−iii-1-11103−30033−3−300002i−2i2i−2i0000−ii−i3i3−i3i3−i−iii−i3−i3i3i32-20000−i3i300−ii0000000003−3-1100000
χ462-22-2-12212-2-2-2-221-1-1-120121-11-1-21-2003−333−3−32i−2i−2i2i−i−iii-1-11103−30033−3−300002i−2i−2i2i0000i−i−i3i3i3−i3−i−iii−i3−i3i3i3-220000i3−i300i−i000000000−331-100000
χ472-22-2-12212-2-2-2-221-1-1-120121-11-1-21-2003−333−3−3−2i2i2i−2iii−i−i-1-11103−30033−3−30000−2i2i2i−2i0000−iii3−i3−i3i3ii−i−ii3i3−i3−i3-220000−i3i300−ii000000000−331-100000
χ482-22-2-12212-2-2-2-221-1-1-120121-11-1-21-2003−333−3−3−2i2i−2i2iii−i−i-1-11103−30033−3−30000−2i2i−2i2i0000i−ii3−i3i3−i3ii−i−ii3i3−i3−i32-20000i3−i300i−i0000000003−3-1100000
χ492-22-2-12212-2-2-2-221-1-1-120121-11-1-21-200−33−3−3332i−2i2i−2i−i−iii-1-1110−3300−3−33300002i−2i2i−2i0000−iii3−i3i3−i3−i−iiii3i3−i3−i32-20000i3−i300−ii000000000−33-1100000
χ502-22-2-12212-2-2-2-221-1-1-120121-11-1-21-200−33−3−3332i−2i−2i2i−i−iii-1-1110−3300−3−33300002i−2i−2i2i0000i−ii3−i3−i3i3−i−iiii3i3−i3−i3-220000−i3i300i−i0000000003−31-100000
χ512-22-2-12212-2-2-2-221-1-1-120121-11-1-21-200−33−3−333−2i2i2i−2iii−i−i-1-1110−3300−3−3330000−2i2i2i−2i0000−ii−i3i3i3−i3ii−i−i−i3−i3i3i3-220000i3−i300−ii0000000003−31-100000
χ522-22-2-12212-2-2-2-221-1-1-120121-11-1-21-200−33−3−333−2i2i−2i2iii−i−i-1-1110−3300−3−3330000−2i2i−2i2i0000i−i−i3i3−i3i3ii−i−i−i3−i3i3i32-20000−i3i300i−i000000000−33-1100000
χ5344444-2-24-2-2-2-2-2-244-2-214-21-2-2-2-21-21-2-244-2-2-2-2000000001111-2-2-211111140040000-2-20000000000000000000-2-2-2001100110000000000000000
χ5444444-2-24-2-2-2-2-2-244-2-214-21-2-2-2-21-21-2-244-2-2-2-2000000001111-2-2-2111111-400-4000022000000000000000000022200-1-100-1-10000000000000000
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χ584444-24-2-2-2-244-24-2-2-21-241-2-2-2-21-21-244-2-2-2-2-2-200-4-400001111-211-2-2111100-400022000022002200000000002000-1-100-1-1000000000000000000
χ594444-24-2-2-2-244-24-2-2-21-2-41-2-2-2-21-21-2-4-42222220044000011112-1-122-1-1-1-100-4000-2-20000-2-2002200000000002000-1-10011000000000000000000
χ604444-24-2-2-2-244-24-2-2-21-2-41-2-2-2-21-21-2-4-422222200-4-4000011112-1-122-1-1-1-10040002200002200-2-20000000000-20001100-1-1000000000000000000
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χ7544-4-4-244-2-44-44-4-422-2-240-2-422-2242-40000000000002i3−2i32i3−2i3-22-220000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000000000
χ7644-4-4-2-24-2-442-2-42221-2-20-22-1-112-22223−2300−33−330000−2i32i3−2i32i31-11-100023−23−33−33000000000000000000i3−i3i3−i33i−3i3i−3i000000000000000000000000000000
χ7744-4-4-2-24-2-442-2-42221-2-20-22-1-112-22223−2300−33−3300002i3−2i32i3−2i31-11-100023−23−33−33000000000000000000−i3i3−i3i3−3i3i−3i3i000000000000000000000000000000
χ7844-4-4-2-24-2-442-2-42221-2-20-22-1-112-222−2323003−33−30000−2i32i3−2i32i31-11-1000−23233−33−3000000000000000000i3−i3i3−i3−3i3i−3i3i000000000000000000000000000000
χ7944-4-4-2-24-2-442-2-42221-2-20-22-1-112-222−2323003−33−300002i3−2i32i3−2i31-11-1000−23233−33−3000000000000000000−i3i3−i3i33i−3i3i−3i000000000000000000000000000000
χ804-44-444-2-4-22-4-424-444-2-202-2-44-4-222200000000004i−4i0000-2-222000000000000000−2i2i00004i−4i0000000000000000000000−2i2i000000000000000000
χ814-44-444-2-4-22-4-424-444-2-202-2-44-4-22220000000000−4i4i0000-2-2220000000000000002i−2i0000−4i4i00000000000000000000002i−2i000000000000000000
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χ844-44-4-24-22-22-4-4242-2-21-20-1-22-2212-120023−232323−23−23004i−4i000011-1-10−3300−3−333000000−2i2i0000−2i2i00−2i32i300000000000000i3−i300i−i000000000000000000
χ854-44-4-24-22-22-4-4242-2-21-20-1-22-2212-120023−232323−23−2300−4i4i000011-1-10−3300−3−3330000002i−2i00002i−2i002i3−2i300000000000000−i3i300−ii000000000000000000
χ864-44-4-24-22-22-4-4242-2-21-20-1-22-2212-1200−2323−23−232323004i−4i000011-1-103−30033−3−3000000−2i2i0000−2i2i002i3−2i300000000000000−i3i300i−i000000000000000000
χ874-44-4-24-22-22-4-4242-2-21-20-1-22-2212-1200−2323−23−23232300−4i4i000011-1-103−30033−3−30000002i−2i00002i−2i00−2i32i300000000000000i3−i300−ii000000000000000000
χ884-44-4-2-2424-422-4-22-21-2-202-2-11-1-22220023−23−3−3334i−4i00−2i−2i2i2i11-1-1023−2300−3−3330000−2i2i00000000−2i32i300ii−i−ii3i3−i3−i3000000000000000000000000000000
χ894-44-4-2-2424-422-4-22-21-2-202-2-11-1-22220023−23−3−333−4i4i002i2i−2i−2i11-1-1023−2300−3−33300002i−2i000000002i3−2i300−i−iii−i3−i3i3i3000000000000000000000000000000
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χ914-44-4-2-2424-422-4-22-21-2-202-2-11-1-222200−232333−3−3−4i4i002i2i−2i−2i11-1-10−23230033−3−300002i−2i00000000−2i32i300−i−iiii3i3−i3−i3000000000000000000000000000000
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χ954-4-444-24-4-4-4-22424-4-24-20-42-222-424-20000000000000000-222-2000000000000000000023−23000000000023−23−2323000000000000000000000000000000
χ964-4-444-24-4-4-4-22424-4-24-20-42-222-424-20000000000000000-222-20000000000000000000−23230000000000−232323−23000000000000000000000000000000
χ974-4-44-2442-4-44-44-4-22-2-2402-4-2222-4-2400000000000023−23−2323-222-200000000000000000000000000023−23−23230000000000000000000000000000000000
χ984-4-44-2442-4-44-44-4-22-2-2402-4-2222-4-24000000000000−232323−23-222-2000000000000000000000000000−232323−230000000000000000000000000000000000
χ994-4-44-2-242-4-4-2242-221-2-20221-1-122-2-200003-3-33000023−23−23231-1-11000003-3-330000000000−2323000000−333−33−3−33000000000000000000000000000000
χ1004-4-44-2-242-4-4-2242-221-2-20221-1-122-2-200003-3-330000−232323−231-1-11000003-3-33000000000023−230000003−3−33−333−3000000000000000000000000000000
χ1014-4-44-2-242-4-4-2242-221-2-20221-1-122-2-20000-333-3000023−23−23231-1-1100000-333-3000000000023−23000000−333−3−333−3000000000000000000000000000000
χ1024-4-44-2-242-4-4-2242-221-2-20221-1-122-2-20000-333-30000−232323−231-1-1100000-333-30000000000−23230000003−3−333−3−33000000000000000000000000000000
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χ10588-8-8-48-4-44-4-884-844-42-402444-4-2-4-2400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44-44-4444422202-2-2-22-22-2-243−4300−2323−232300000000-11-11000−23233−33−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44-44-4444422202-2-2-22-22-2-2−43430023−2323−2300000000-11-1100023−23−33−3300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-8-44444-4-88-4-420424-44-4-24-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44-44444-44-42220-22-22-22-2-2-20043−43−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44444-44-42220-22-22-22-2-2-200−43432323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-844-44-448-8-4-4204-2-4444-2-4200000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44448-8-4-8-44-42-40-24-444-242-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-44-44-442220-2-22-2-2-2-22200006-6-6600000000-111-100000-333-300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-44-44-442220-2-22-2-2-2-2220000-666-600000000-111-1000003-3-3300000000000000000000000000000000000000000000000000000000

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