Finite Group Databasebeta

← Group #13168578

Character table — Group #13168578

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121222221212121212121212121212122244666612124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111-1-111111111111111-1-11-1-1-111-1-111-1-1-1-1-1111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111-11-1-1-1-111-1-111111111111111-1-1-1-1-1111-1-111-1-111-111-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-1-1111-1-11111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-111-1-1111111-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-11-1-1-1-111-1-111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-1-1-111111111-1-11-1-1-1-1-11111-11-1-11111-1-1-1-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-11-1-11111-1-11-11-111-1-1-1-111-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11-11-111-1-1-1-1111-11-111-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-111111-1-1-1-1-11-1-11111-1-1111-1-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11-11-111-1-1-1-11111-11-1-1-1-1111111-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ17222222-1-1-12222-1222-1-12-1-1222-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222222200-1-1-1-10000000000000022-1-122-1-1-1-1-1-1-1-1200000-1-100000-100
χ18222222-1-1-12222-1222-1-12-1-1222-1-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2222200-1-11100000000000000-2-2-11-2-2-1-111-1-111-2000001100000100
χ19222222-1-1-12222-1222-1-12-1-1222-1-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-2-2-20011-1-100000000000000-2-21-12211-1-111-1-1-2000001100000100
χ20222222-1-1-12222-1222-1-12-1-1222-1-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2001111000000000000002211-2-211111111200000-1-100000-100
χ21222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-2-222-2-200-1-1-1-10000000000000022112-21111-1-1-1-1-200000-1-100000100
χ22222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-2-2222-2-200-1-11100000000000000-2-21-1-2211-1-1-1-1112000001100000-100
χ23222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-2-2-2220011-1-100000000000000-2-2-112-2-1-11111-1-12000001100000-100
χ24222222-1-1-12222-1222-1-1-2-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111-222-2-2220011110000000000000022-1-1-22-1-1-1-11111-200000-1-100000100
χ2522222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-12020000-1-10022-1-122-1-1-1-1-1-1-1-1000002-1-100-1-100-1-1022000000000-10-10
χ2622222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-1-20-20000-1-100-2-2-1-122-1-1-1-1-1-1-1-100000-211001100110-2-20000000001010
χ2722222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1202000011002211-2-211111111000002-1-100-1-100-1-10-2-20000000001010
χ2822222-12222-12-122-1-12-122-1-1-1-12-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-200001100-2-211-2-21111111100000-21100110011022000000000-10-10
χ2922222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-21111110022-2-22222-1-1-1-1-2-2-211111120-20000110022-1-1-2-2-1-1-1-1111100000-2-11001100-1-10-2200000000010-10
χ3022222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-21111110022-2-22222-1-1-1-1-2-2-2111111-20200001100-2-2-1-1-2-2-1-1-1-111110000021-100-1-1001102-2000000000-1010
χ3122222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-211111100-2-222-2-2-2-2-1-1-1-1-2-2-211111120-20000-1-1002211221111-1-1-1-100000-2-11001100-1-102-2000000000-1010
χ3222222-12222-12-122-1-12-1-22-1-1-1-12-12-1-2-211111100-2-222-2-2-2-2-1-1-1-1-2-2-2111111-2020000-1-100-2-211221111-1-1-1-10000021-100-1-100110-2200000000010-10
χ332222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1020-1-1-1-122220022-1-1-1-1-1-1-1-1-1-122002000-1-100-1-1000002-1-100-1-1000000
χ342222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-122-2-2-2-21111-1-1-1-12-1-122-1-1-1-1020-1-1-1-1-2-22200-2-21111111111-2-2002000-1-100-1-100000-2110011000000
χ352222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-10-20111122-2-20022-1-1-1-1-1-1-1-1-1-1-2-200-200011001100000-2110011000000
χ362222-12222-12-122-12-1-122-12-1-1-1-12-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-201111-2-2-2-200-2-211111111112200-2000110011000002-1-100-1-1000000
χ372222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-211112222-2-2-1-1-1-1-1-1-1-1-211-2-211110-20-1-111-2-222002211-1-1-1-11111-2-200-20001100-1-10000021100-1-1000000
χ382222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-2111122-2-2221111-1-1-1-1-211-2-211110-20-1-111222200-2-2-1-11111-1-1-1-12200-20001100-1-100000-2-1-10011000000
χ392222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-211-2-2111102011-1-1-2-2-2-2002211-1-1-1-1111122002000-1-1001100000-2-1-10011000000
χ402222-12222-12-122-12-1-12-2-12-1-1-1-12-1211-2-21111-2-2-2-2221111-1-1-1-1-211-2-2111102011-1-122-2-200-2-2-1-11111-1-1-1-1-2-2002000-1-100110000021100-1-1000000
χ4122-2-2222-2-222-2-22-2-22220-2-22-2-2-2-22200000000002i−2i002i2i−2i−2i2-2-2200000000000000000000002i−2i002i2i−2i−2i0000002-20000000000000000002-2002i−2i0000
χ4222-2-2222-2-222-2-22-2-22220-2-22-2-2-2-22200000000002i−2i002i2i−2i−2i2-2-2200000000000000000000002i−2i002i2i−2i−2i000000-22000000000000000000-2200−2i2i0000
χ4322-2-2222-2-222-2-22-2-22220-2-22-2-2-2-2220000000000−2i2i00−2i−2i2i2i2-2-220000000000000000000000−2i2i00−2i−2i2i2i0000002-20000000000000000002-200−2i2i0000
χ4422-2-2222-2-222-2-22-2-22220-2-22-2-2-2-2220000000000−2i2i00−2i−2i2i2i2-2-220000000000000000000000−2i2i00−2i−2i2i2i000000-22000000000000000000-22002i−2i0000
χ452-22-22222-2-2-22-2-2-222220-22-22-22-2-2-2000000002i−2i002i−2i000022-2-20000000000002i−2i002i−2i2i−2i00002i−2i00002i2i−2i−2i2-200000000002i−2i0000002-20000000000
χ462-22-22222-2-2-22-2-2-222220-22-22-22-2-2-2000000002i−2i00−2i2i000022-2-20000000000002i−2i00−2i2i2i−2i0000−2i2i0000−2i−2i2i2i-2200000000002i−2i000000-220000000000
χ472-22-22222-2-2-22-2-2-222220-22-22-22-2-2-200000000−2i2i002i−2i000022-2-2000000000000−2i2i002i−2i−2i2i00002i−2i00002i2i−2i−2i-220000000000−2i2i000000-220000000000
χ482-22-22222-2-2-22-2-2-222220-22-22-22-2-2-200000000−2i2i00−2i2i000022-2-2000000000000−2i2i00−2i2i−2i2i0000−2i2i0000−2i−2i2i2i2-20000000000−2i2i0000002-20000000000
χ492-22-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−32i−2i002i−2i−i3i3−i3i3-1-11103−30033−3−3000−ii−i3i32i−2i2i−2i0000−ii−i3i3−i3i3−i−iii2-2000000−i3i300−ii000000-11003−3000000
χ502-22-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−32i−2i00−2i2ii3−i3i3−i3-1-11103−30033−3−3000−ii−i3i3−2i2i2i−2i0000i−ii3−i3i3−i3ii−i−i-22000000−i3i300−ii0000001-100−33000000
χ512-22-2-1222-21-2-1-2-212-1-120121-11-1-21-23−30033−3−3−2i2i002i−2i−i3i3−i3i3-1-11103−30033−3−3000i−ii3−i32i−2i−2i2i0000−ii−i3i3−i3i3−i−iii-22000000i3−i300i−i0000001-100−33000000
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χ542-22-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−3332i−2i00−2i2i−i3i3−i3i3-1-1110−3300−3−333000−iii3−i3−2i2i2i−2i0000i−i−i3i3−i3i3ii−i−i-22000000i3−i300−ii0000001-1003−3000000
χ552-22-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−333−2i2i002i−2ii3−i3i3−i3-1-1110−3300−3−333000i−i−i3i32i−2i−2i2i0000−iii3−i3i3−i3−i−iii-22000000−i3i300i−i0000001-1003−3000000
χ562-22-2-1222-21-2-1-2-212-1-120121-11-1-21-2−3300−3−333−2i2i00−2i2i−i3i3−i3i3-1-1110−3300−3−333000i−i−i3i3−2i2i−2i2i0000i−i−i3i3−i3i3ii−i−i2-2000000−i3i300i−i000000-1100−33000000
χ5744444-2-2-2-24-24-2-24-2-2-214-21-2-2-2-21-2144-2-2-2-2-2-200000000001111-2-2-211111140400000000-2-200000000000000000-2-2-2001100110000000000000000
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χ654444-2-2444-2-2-2-24-2-21-2-24-2-2111-2-2-2-2-2-2-2-21111004444-2-2-2-211114-2-2-2-211110000000-2-20000-2-2-2-21111111100000000000000000000000000000000
χ664444-2-2444-2-2-2-24-2-21-2-24-2-2111-2-2-2-2-2-2-2-2111100-4-4-4-4222211114-2-2-2-2111100000002200002222-1-1-1-1-1-1-1-100000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).