Finite Group Databasebeta

← Group #13168571

Character table — Group #13168571

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666633346666666661212121212121212443666121212121212121212244446612121212121212121212121212121212121244666121212121212121212121222444121244661212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-11111111111-1-111111111-1-1111-11-1-1111-1-1-1-11-1-1-11-1-1-1-1-11-11-1-1
χ31111111111111111111111111111111111111111111111111111-111-11-1-1111111111111111111-1-1-1-1-11-111-1-1-11111-111-1-1-1-1-1-11-11-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-11-111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1111-1-1-1-1-111-1-1-1-1111-11-1-11
χ71111111111111111111111111111111111111-1-11111111111111-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111111-1-1-11-1-111-11-11-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-111111-1-111-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-111-1-1-11-111-1-1-1-11-1-1111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1111-1-1111-111-1-1-1-1-1-111-111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-111-1-1-1111111-1-1-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111-1-111-1-111-1-1-1-1-1-11111-1-1111-1-111-1-1-111-1-11-111-1-1-111-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-11-111-1-1111-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-111-11
χ17222222-12-1-12222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-12022022-1-12222-1-100-1-1-1-1-1-1-1-100-1-1-10200-1-1-100002000200000-10-100
χ18222222-12-1-12222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1-202-20-2-2-1-12222-1-100-1-1-1-1-1-1-1-1001110-2001110000-2000-20000010100
χ19222222-12-1-12222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-120-2202211-2-2-2-211001111111100-1-1-10200-1-1-10000-2000-20000010100
χ20222222-12-1-12222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-1-1-1-12-1-122-1-1-1-1-20-2-20-2-211-2-2-2-2110011111111001110-20011100002000200000-10-100
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χ23222222-12-1-12222-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2-1-1-1-1-211-2-21111202-20221122-2-2-1-1001111-1-1-1-100-1-1-10-20011100002000-200000-10100
χ24222222-12-1-12222-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2-1-1-1-1-211-2-21111-20220-2-21122-2-2-1-1001111-1-1-1-1001110200-1-1-10000-200020000010-100
χ2522222-12222-12-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1022020022-1-1-1-12222-1-1-1-1-1-1-1-100000-102-1000-1-1-1-1022000000-10-1000
χ2622222-12222-12-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-10-220-20022-1-1-1-122-2-2-1-1-1-1-1-1-1-10000010-2100011110-2-2000000101000
χ2722222-12222-12-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-102-20200-2-21111-2-2221111111100000-102-1000-1-1-1-10-2-2000000101000
χ2822222-12222-12-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-1-2-2-1-1-1-1222-1-1-1-1-1-10-2-20-200-2-21111-2-2-2-2111111110000010-210001111022000000-10-1000
χ2922222-12222-12-1-122-1-12-2-12-12-1-1-12-1-2-211111122-1-1-1-1-2-2-211111102-20-2002211-1-1-2-222-1-1-1-1111100000-10-2100011-1-10-2200000010-1000
χ3022222-12222-12-1-122-1-12-2-12-12-1-1-12-1-2-211111122-1-1-1-1-2-2-21111110-2-202002211-1-1-2-2-2-2-1-1-1-1111100000102-1000-1-11102-2000000-101000
χ3122222-12222-12-1-122-1-12-2-12-12-1-1-12-1-2-2111111-2-2-1-1-1-1-2-2-21111110220-200-2-2-1-11122221111-1-1-1-100000-10-2100011-1-102-2000000-101000
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χ352222-122-1222-1222-1-12-12-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-220-221100000000-1-100000000-2-2-21121-12-211-1-1-1-1000-201100000010
χ362222-122-1222-1222-1-12-12-1-12-1-122-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-21100000000110000000022-211-211-2-211111100020-1-1000000-10
χ372222-122-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111220-2-2-1-100000000-1-100000000222-1-1211-2-21111-1-1000-20-1-100000010
χ382222-122-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-11111111112-20-22-1-1000000001100000000-2-22-1-1-21-12-211-1-1110002011000000-10
χ392222-122-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-2202-21100000000-1-100000000-2-2-2112-11-22-1-111-1-10002011000000-10
χ402222-122-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-1-1-1-1111111111-2-20221100000000110000000022-211-2-1-122-1-1-1-111000-20-1-100000010
χ412-22-2222-22-22-2-2-2-222220-2-222-2-2-2-22000000002i−2i2-2-2200000000000000002i−2i002i−2i00002i2i−2i−2i00002-200000000000000000002-22i−2i000000
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χ944-4-44-2-242-4-42-2-22421-2-20-122212-2-2-10023−2323−23−2323001-11-1000−33−333−3000000000000000−232300000000000000000000-333−3000000000000000
χ954-4-44-2-242-4-42-2-22421-2-20-122212-2-2-100−2323−232323−23001-11-10003−33−3−3300000000000000023−2300000000000000000000-33−33000000000000000
χ964-4-44-2-242-4-42-2-22421-2-20-122212-2-2-100−2323−232323−23001-11-10003−33−3−33000000000000000−2323000000000000000000003-33−3000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-4-88444-4-842-4-402-444-2-444-2000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-4444-444222022-2-2-22-2-2-243−4300−23−23232300-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-4444-444222022-2-2-22-2-2-2−4343002323−23−2300-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-4484-8-84-4-4-4204-2-42444-2-400000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4848-8-4444-8-42-4-40-24-4-4-2444200000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44444-42220-2-222-2-2-2-2200006-66-600-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-44-44444-42220-2-222-2-2-2-220000-66-6600-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4444-8-48-8-44-4-4204-24-2-44-42400000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-4-44-442220-2-2-2-22-222-20043−43−232323−2300-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-4-44-442220-2-2-2-22-222-200−434323−23−232300-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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