Finite Group Databasebeta

← Group #13168077

Character table — Group #13168077

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122222446666366612121212121212121244466666666661212121212121212121212124444661212121212121212121224446612121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-11111-1-11111-1-11-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-11-1-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11-1-111111-1-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-111-1-11-11-111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-11111-1111-1-1-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-11-11111-1-1-111-1-1-111-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-11-1-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111111111111-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-11-11-1-1-1-111-111-1-1-111-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-11111-1-111-1111-1-1-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-111111-1-1111-11-111-1-111-1-1-11-11
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10022222-1-1-1-1-1-1-1-122-1-100-1-1-1-10022-1-10020-1-100002000-1-1-1-100000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-100-222-2-211-1-1-1-1-1-1221100-1-1-1-100-2-21100-20110000-2000111100000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1002-2-222-1-1111111-2-2-1-100111100-2-2-1-10020-1-10000-2000111100000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-100-2-2-2-2-211111111-2-21100111100221100-201100002000-1-1-1-100000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-211112222-2-2-1-1-1-1-1-1-1-1-211-2-2111100-22222-1-1-1-1-1-111-2-21100111100-2-2-1-100-201100002000-1-11100000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111100222-2-211-1-1-1-111-2-2-1-10011110022110020-1-10000-200011-1-100000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-222221111-1-1-1-1-211-2-2111100-2-2-222-1-11111-1-1221100-1-1-1-10022-1-100-20110000-200011-1-100000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-2-2-2221111-1-1-1-1-211-2-21111002-2-2-2-2111111-1-122-1-100-1-1-1-100-2-2110020-1-100002000-1-11100000000
χ2522222-122-1222-12-12-12-12-1-122-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1220000000022-1-100002200-1-122-1-1-1-1-1-1-1-102000000-1-100-1000
χ2622222-122-1222-12-12-12-12-1-122-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2200-1-1220000000022110000-2-200-1-1-2-2-11-1-111110-200000011001000
χ2722222-122-1222-12-12-12-12-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20011-2-200000000-2-2-1-10000-2-20011221-111-1-1-1-10-200000011001000
χ2822222-122-1222-12-12-12-12-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-200000000-2-2110000220011-2-21111111102000000-1-100-1000
χ2922222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-200-1-12200000000-2-2-1-100002200-1-12-21111-1-1110-2000000-1-1001000
χ3022222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200-1-12200000000-2-2110000-2-200-1-1-221-11111-1-1020000001100-1000
χ3122222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220011-2-20000000022-1-10000-2-200112-2-11-1-1-1-111020000001100-1000
χ3222222-122-1222-12-12-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2220011-2-20000000022110000220011-22-1-1-1-111-1-10-2000000-1-1001000
χ332222-122-1222-1222-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1220-1-10000-1-1-1-122-1-10022-1-1-1-1000000-1-10200-1-1-1-10022000000000-1-10
χ342222-122-1222-1222-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1-2-20-1-10000-1-1-1-122-1-100-2-2-1-1-1-1000000110-200111100-2-2000000000110
χ352222-122-1222-1222-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-12201100001111-2-21100221111000000-1-10200-1-1-1-100-2-2000000000110
χ362222-122-1222-1222-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-201100001111-2-21100-2-21111000000110-20011110022000000000-1-10
χ372222-122-1222-1222-1-1-12-2-1-1-1-1222-1-1-2-21111112200-2-22222-1-1-1-1-2-2-21111112-20-1-10000-1-1-1-1-2-21100221111000000-110-200-1-111002-2000000000-110
χ382222-122-1222-1222-1-1-12-2-1-1-1-1222-1-1-2-21111112200-2-22222-1-1-1-1-2-2-2111111-220-1-10000-1-1-1-1-2-21100-2-211110000001-1020011-1-100-220000000001-10
χ392222-122-1222-1222-1-1-12-2-1-1-1-1222-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-2-2-21111112-20110000111122-1-10022-1-1-1-1000000-110-200-1-11100-220000000001-10
χ402222-122-1222-1222-1-1-12-2-1-1-1-1222-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-2-2-2111111-220110000111122-1-100-2-2-1-1-1-10000001-1020011-1-1002-2000000000-110
χ412-22-22222-2-2-2-222-2-222202-22-2-2-22-2-2000000002-2000022-2-222-2-20000000000002-2000022-2-20000000000002i−2i00000000000000000000002i−2i2i−2i0000
χ422-22-22222-2-2-2-222-2-222202-22-2-2-22-2-2000000002-2000022-2-222-2-20000000000002-2000022-2-2000000000000−2i2i0000000000000000000000−2i2i−2i2i0000
χ432-22-22222-2-2-2-222-2-222202-22-2-2-22-2-200000000-220000-2-22222-2-2000000000000-220000-2-2220000000000002i−2i00000000000000000000002i−2i−2i2i0000
χ442-22-22222-2-2-2-222-2-222202-22-2-2-22-2-200000000-220000-2-22222-2-2000000000000-220000-2-222000000000000−2i2i0000000000000000000000−2i2i2i−2i0000
χ452-2-22222-222-2-2-2-2-222220-22-222-2-2-2-200000000002-22i−2i00002-22-2000000000000002-22-200002i−2i2i−2i00002i2i−2i−2i002i−2i2-200000000000000002i−2i00000000
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χ482-2-22222-222-2-2-2-2-222220-22-222-2-2-2-20000000000-22−2i2i00002-22-200000000000000-22-220000−2i2i−2i2i0000−2i−2i2i2i002i−2i-2200000000000000002i−2i00000000
χ492-2-2222-1-22-11-2-21-222-1-10-221-1-1111-23−30033−3−3002-22i−2i−i3i3−i3i3-11-1103−30033−3−3000002-2-11−i3i3−i3i3−ii2i−2i3−300−i−iii002i−2i-1100003−300000000−i3i3−ii00000000
χ502-2-2222-1-22-11-2-21-222-1-10-221-1-1111-23−30033−3−3002-2−2i2ii3−i3i3−i3-11-1103−30033−3−3000002-2-11i3−i3i3−i3i−i−2i2i3−300ii−i−i00−2i2i-1100003−300000000i3−i3i−i00000000
χ512-2-2222-1-22-11-2-21-222-1-10-221-1-1111-23−30033−3−300-222i−2i−i3i3−i3i3-11-1103−30033−3−300000-221-1−i3i3−i3i3−ii2i−2i−3300−i−iii00−2i2i1-10000−3300000000i3−i3i−i00000000
χ522-2-2222-1-22-11-2-21-222-1-10-221-1-1111-23−30033−3−300-22−2i2ii3−i3i3−i3-11-1103−30033−3−300000-221-1i3−i3i3−i3i−i−2i2i−3300ii−i−i002i−2i1-10000−3300000000−i3i3−ii00000000
χ532-2-2222-1-22-11-2-21-222-1-10-221-1-1111-2−3300−3−333002-22i−2ii3−i3i3−i3-11-110−3300−3−333000002-2-11i3−i3i3−i3−ii2i−2i−3300−i−iii002i−2i-110000−3300000000i3−i3−ii00000000
χ542-2-2222-1-22-11-2-21-222-1-10-221-1-1111-2−3300−3−333002-2−2i2i−i3i3−i3i3-11-110−3300−3−333000002-2-11−i3i3−i3i3i−i−2i2i−3300ii−i−i00−2i2i-110000−3300000000−i3i3i−i00000000
χ552-2-2222-1-22-11-2-21-222-1-10-221-1-1111-2−3300−3−33300-222i−2ii3−i3i3−i3-11-110−3300−3−33300000-221-1i3−i3i3−i3−ii2i−2i3−300−i−iii00−2i2i1-100003−300000000−i3i3i−i00000000
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χ5744444-2-24-2-2-24-2-2-24-2-214-2-2-2-2111-2-2-2-244-2-2-2-200440000001111-211-2-2111100400-2-2-2-200000000-2-200000000001100-201100000000000000000000
χ5844444-2-24-2-2-24-2-2-24-2-214-2-2-2-2111-2-2-2-244-2-2-2-200-4-40000001111-211-2-2111100-400222200000000220000000000-1-10020-1-100000000000000000000
χ5944444-2-24-2-2-24-2-2-24-2-21-4-2-2-2-2111-2-222-4-42222004400000011112-1-122-1-1-1-100-400-2-2-2-200000000220000000000110020-1-100000000000000000000
χ6044444-2-24-2-2-24-2-2-24-2-21-4-2-2-2-2111-2-222-4-4222200-4-400000011112-1-122-1-1-1-100400222200000000-2-20000000000-1-100-201100000000000000000000
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χ944-4-444-24-4-24-4-42-424-24-202-2-44-222-4200000000004-4000000-22-2200000000000000-224-400000000000000000000-2200000000000000000000000000
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χ1014-4-44-244244-42-4-4-4-2-2-2402-22-24-4-422000000000000−4i4i0000-22-220000000000000000000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000
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χ1034-4-44-24-224-222-42-4-2-21-202-2-11-222-1223−2300−3−3330000−4i4i2i3−2i32i3−2i31-11-1023−2300−3−333000000000−i3i3−i3i32i−2i2i−2i0000−i−iii00000000000000000000000000000000
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χ1054-4-44-24-224-222-42-4-2-21-202-2-11-222-12−23230033−3−30000−4i4i−2i32i3−2i32i31-11-10−23230033−3−3000000000i3−i3i3−i32i−2i2i−2i0000−i−iii00000000000000000000000000000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-4-844-4844-4-8-4-4204444-22-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4444-4-444-442220-2-2-2-2-22-22200−4i34i32i3−2i32i3−2i30000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4444-4-444-442220-2-2-2-2-22-222004i3−4i3−2i32i3−2i32i30000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-48444-8-4-44-8-4-420-44-44-2-224400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1158-8-88-4-484-48-844-84-42-4-40-224-4-4444-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-44-4-444444-42220-22-222-2-2-2-2−4343002323−23−230000000000-11-11023−2300−3−333000000000000000000000000000000000000000000000000000000000

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