Finite Group Databasebeta

← Group #13168083

Character table — Group #13168083

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244446666366612121212121212121224466666666121212121212121212121212121222446661212121212121212122444661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111-1-1111-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-11111-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-1-1111-1-11111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11-11111-1-1-11-11-1-1111111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111-111-1-1-1-111-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-11-1-1-111-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111-1-11-11111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-11111-1-1-1-11-11111-1-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-11-1111-1-11111-1-111-1-1-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-11-1-1-111-1-11-111-1-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-1111111-11-1-1-1-111-11-11-1-11111-1-1-11-11
χ17222222-12-12-1222-122-1-1222-1-1-1-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-1-1-122-1-10022-1-1-1-1-1-122002-1-1000-1-100000002-1-100-1-1000000
χ18222222-12-12-1222-122-1-1222-1-1-1-1-1-12-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2002211-1-1-1-1-2-2-1-1002211-1-1-1-1-2-200-211000110000000-2110011000000
χ19222222-12-12-1222-122-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1200-2-2-1-11111221100-2-2-1-11111-2-2002-1-1000-1-10000000-2110011000000
χ20222222-12-12-1222-122-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-2111111-2-21100-2-21111112200-2110001100000002-1-100-1-1000000
χ21222222-12-12-1222-122-1-1-222-1-1-1-1-1-1211-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-2002211-1-1-1-1221100-2-2-1-11111-2-200-211000-1-1000000021100-1-1000000
χ22222222-12-12-1222-122-1-1-222-1-1-1-1-1-1211-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120022-1-1-1-1-1-1-2-21100-2-211111122002-1-1000110000000-2-1-10011000000
χ23222222-12-12-1222-122-1-1-222-1-1-1-1-1-1211-2-21111-2-222221111-1-1-1-1-211-2-21111-200-2-211111122-1-10022-1-1-1-1-1-12200-211000-1-10000000-2-1-10011000000
χ24222222-12-12-1222-122-1-1-222-1-1-1-1-1-1211-2-21111-2-222-2-21111-1-1-1-1-211-2-21111200-2-2-1-11111-2-2-1-1002211-1-1-1-1-2-2002-1-100011000000021100-1-1000000
χ2522222-1222-12-1-1222-12-12-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200220000-1-100-1-1002200000022-1-1-1-122-1-1-1-1-1-1200000-1-10000-1000
χ2622222-1222-12-1-1222-12-12-1-122-1-1-12-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-200220000-1-100110022000000-2-2-1-1-11-2-2-1-11111-2000001100001000
χ2722222-1222-12-1-1222-12-12-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200-2-200001100-1-100-2-2000000-2-2111-12211-1-1-1-1-2000001100001000
χ2822222-1222-12-1-1222-12-12-1-122-1-1-12-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2000011001100-2-2000000221111-2-2111111200000-1-10000-1000
χ2922222-1222-12-1-1222-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-200-2-20000-1-100-1-100220000002211112-2-1-1-1-111-200000-1-100001000
χ3022222-1222-12-1-1222-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-2200-2-20000-1-100110022000000-2-2111-1-22-1-111-1-1200000110000-1000
χ3122222-1222-12-1-1222-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-2002200001100-1-100-2-2000000-2-2-1-1-112-211-1-111200000110000-1000
χ3222222-1222-12-1-1222-12-1-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-220022000011001100-2-200000022-1-1-1-1-221111-1-1-200000-1-100001000
χ332222-122-122222-12-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1022-1-100-1-1-1-1002222-1-100-1-1-1-100000002-1-100-1-1-1-10220000000000-1-10
χ342222-122-122222-12-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-10-2-2-1-100-1-1-1-10022-2-2-1-100-1-1-1-10000000-2110011110-2-20000000000110
χ352222-122-122222-12-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-10221100111100-2-2221100111100000002-1-100-1-1-1-10-2-20000000000110
χ362222-122-122222-12-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-21100111100-2-2-2-2110011110000000-2110011110220000000000-1-10
χ372222-122-122222-12-1-1-12-2-1-1-1-1222-1-1-2-211111122-2-2002222-1-1-1-1-2-2-211111102-2-1-100-1-1-1-100-2-222110011110000000-2-1100-1-11102-20000000000-110
χ382222-122-122222-12-1-1-12-2-1-1-1-1222-1-1-2-211111122-2-2002222-1-1-1-1-2-2-21111110-22-1-100-1-1-1-100-2-2-2-211001111000000021-10011-1-10-2200000000001-10
χ392222-122-122222-12-1-1-12-2-1-1-1-1222-1-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-211111102-211001111002222-1-100-1-1-1-10000000-2-1100-1-1110-2200000000001-10
χ402222-122-122222-12-1-1-12-2-1-1-1-1222-1-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-21111110-22110011110022-2-2-1-100-1-1-1-1000000021-10011-1-102-20000000000-110
χ4122-2-2222-22-2-2-22-2-2222202-22-22-2-2-2-200000000002i−2i2i−2i000022-2-2000000000000000000002i−2i2i−2i002i−2i2i−2i2i2i−2i−2i2-2000000002i−2i000000002-20000000000
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χ4322-2-2222-22-2-2-22-2-2222202-22-22-2-2-2-20000000000−2i2i2i−2i000022-2-2000000000000000000002i−2i−2i2i00−2i2i2i−2i−2i−2i2i2i-22000000002i−2i00000000-220000000000
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χ4522-2-222-1-2-1-21-22-2122-1-102-2-11-1111-23−30033−3−3002i−2i2i−2i−i3−i3i3i3-1-11103−30033−3−300000−i3i3−i3−i3i3i32i−2i−ii002i−2i−ii−i−iii2-2000−i3i3000−ii00000000-11003−3000000
χ4622-2-222-1-2-1-21-22-2122-1-102-2-11-1111-23−30033−3−3002i−2i−2i2i−i3−i3i3i3-1-11103−30033−3−300000i3−i3−i3−i3i3i3−2i2i−ii002i−2ii−i−i−iii-22000i3−i3000i−i000000001-100−33000000
χ4722-2-222-1-2-1-21-22-2122-1-102-2-11-1111-23−30033−3−300−2i2i2i−2ii3i3−i3−i3-1-11103−30033−3−300000−i3i3i3i3−i3−i32i−2ii−i00−2i2i−iiii−i−i-22000−i3i3000−ii000000001-100−33000000
χ4822-2-222-1-2-1-21-22-2122-1-102-2-11-1111-23−30033−3−300−2i2i−2i2ii3i3−i3−i3-1-11103−30033−3−300000i3−i3i3i3−i3−i3−2i2ii−i00−2i2ii−iii−i−i2-2000i3−i3000i−i00000000-11003−3000000
χ4922-2-222-1-2-1-21-22-2122-1-102-2-11-1111-2−3300−3−333002i−2i2i−2ii3i3−i3−i3-1-1110−3300−3−33300000i3−i3i3i3−i3−i32i−2i−ii002i−2i−ii−i−iii2-2000i3−i3000−ii00000000-1100−33000000
χ5022-2-222-1-2-1-21-22-2122-1-102-2-11-1111-2−3300−3−333002i−2i−2i2ii3i3−i3−i3-1-1110−3300−3−33300000−i3i3i3i3−i3−i3−2i2i−ii002i−2ii−i−i−iii-22000−i3i3000i−i000000001-1003−3000000
χ5122-2-222-1-2-1-21-22-2122-1-102-2-11-1111-2−3300−3−33300−2i2i2i−2i−i3−i3i3i3-1-1110−3300−3−33300000i3−i3−i3−i3i3i32i−2ii−i00−2i2i−iiii−i−i-22000i3−i3000−ii000000001-1003−3000000
χ5222-2-222-1-2-1-21-22-2122-1-102-2-11-1111-2−3300−3−33300−2i2i−2i2i−i3−i3i3i3-1-1110−3300−3−33300000−i3i3−i3−i3i3i3−2i2ii−i00−2i2ii−iii−i−i2-2000−i3i3000i−i00000000-1100−33000000
χ532-2-222222-22-2-2-2-22-22220-22-22-2-22-2-2000000002-200002-22-22-22-20000000000002-2002-22-200000000000000002i−2i0000000000000000002i−2i002i−2i0000
χ542-2-222222-22-2-2-2-22-22220-22-22-2-22-2-2000000002-200002-22-22-22-20000000000002-2002-22-20000000000000000−2i2i000000000000000000−2i2i00−2i2i0000
χ552-2-222222-22-2-2-2-22-22220-22-22-2-22-2-200000000-220000-22-222-22-2000000000000-2200-22-2200000000000000002i−2i0000000000000000002i−2i00−2i2i0000
χ562-2-222222-22-2-2-2-22-22220-22-22-2-22-2-200000000-220000-22-222-22-2000000000000-2200-22-220000000000000000−2i2i000000000000000000−2i2i002i−2i0000
χ5744444-2-24-2-2-2-2-24-24-2-214-2-2-2-2111-2-2-2-244-2-2-2-200004400001111-211-2-2111140000-2-20000-2-2000000-2-200000000-2110001100000000000000000000
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χ5944444-2-24-2-2-2-2-24-24-2-21-4-2-2-2-2111-2-222-4-42222000044000011112-1-122-1-1-1-1-40000220000-2-2000000-2-2000000002-1-10001100000000000000000000
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χ634444-24-2-2-24-244-2-2-2-21-2-4-2-211-2-2-21-22222-1-1-1-144-4-400-2-2-2-21111-42222-1-1-1-1000-2-20011110022002200-1-1-1-100000000000000000000000000000000
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χ7344-4-44-2-2-4-2222-2-424-2-210-22-221-1-122−232300−23−23232300004i−4i000011-1-103−30033−3−3000002i3−2i30000−2i2i000000−2i2i000000000−i3i3000i−i00000000000000000000
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χ1024-4-44-24-2-2242-4-42-22-21-202-2-1122-2-1200003i−3i−3i3i4-40000-22-221-11-1000003i−3i−3i3i000-22001-11-10000000000−3i3i3i−3i00000000000000000000000000000000
χ1034-4-44-24-2-2242-4-42-22-21-202-2-1122-2-1200003i−3i−3i3i-4400002-22-21-11-1000003i−3i−3i3i0002-200-11-1100000000003i−3i−3i3i00000000000000000000000000000000
χ1044-4-44-24-2-2242-4-42-22-21-202-2-1122-2-120000−3i3i3i−3i4-40000-22-221-11-100000−3i3i3i−3i000-22001-11-100000000003i−3i−3i3i00000000000000000000000000000000
χ1054-4-44-24-2-2242-4-42-22-21-202-2-1122-2-120000−3i3i3i−3i-4400002-22-21-11-100000−3i3i3i−3i0002-200-11-110000000000−3i3i3i−3i00000000000000000000000000000000
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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
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χ11088-8-8-4-4-44-4444-444-422202-22-22-2-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4-844-4-4484-8-4-4204444-22-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).