Finite Group Databasebeta

← Group #13168746

Character table — Group #13168746

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212224466663666121212121212121212244466666666121212121212121212121212121244666121212121212121212244441212121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-11111-1-111111111111111111111-1-1-1-1-11-1-11111-1-11-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-11111-1-111111-111-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-1-11-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1-1111-1-1-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-11-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-11-1-1-1-11111-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1-11-1-111111-1-1-1-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-111-11111-1-11-1-11-1-1-111-1-111-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-111111-1-1-1-1-1-1111-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-111111-1-111-11-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111111-1-11111-1-1111-1-1-1-1-111-1-1-1-111111-1-111-11-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-111-11111-1-1111-1-1-1-1-1-1111-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-111111111111-1-11-1-1-1-1111-1-11-1-1-111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111111-1-111-11-1-111111-1-1-1-11-11
χ17222222-12-12-1222-12-12-12-122-1-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1220200-1-100000000-1-122220000002-1-12-1-1-1-1-1-1-1-120002-1-10000-10000
χ18222222-12-12-1222-12-12-12-122-1-1-1-12-12222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-202001100000000-1-12222000000-211-21-111-1-1-1-1-2000-211000010000
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χ20222222-12-12-1222-12-12-12-122-1-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-200110000000011-2-2-2-2000000-211-21111111120002-1-10000-10000
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χ22222222-12-12-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-220-2001100000000-1-122-2-2000000-2112-11-1-1-1-1112000-2110000-10000
χ23222222-12-12-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-11111111112-20200-1-10000000011-2-2220000002-1-1-21-11111-1-12000-2110000-10000
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χ2522222-1222-122-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12220-1-122-1-1-1-122-1-1000000-1-1-1-100-1-1-1-120-1-10000020200000000-1-100
χ2622222-1222-122-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-1-2-220-1-1-2-2-1-1-1-122-1-1000000-1-1-1-1001111-201100000-20-2000000001100
χ2722222-1222-122-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-122-2011221111-2-211000000111100-1-1-1-120-1-100000-20-2000000001100
χ2822222-1222-122-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-2-2011-2-21111-2-2110000001111001111-20110000020200000000-1-100
χ2922222-1222-122-1-1222-1-1-22-1-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-21111112-2-20-1-122-1-1-1-1-2-211000000111100-1-1-11-20110000020-2000000001-100
χ3022222-1222-122-1-1222-1-1-22-1-1-12-1-1-12-2-211111122002222-1-1-1-1-2-2-2111111-22-20-1-1-2-2-1-1-1-1-2-211000000111100111-120-1-100000-20200000000-1100
χ3122222-1222-122-1-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-21111112-2201122111122-1-1000000-1-1-1-100-1-1-11-201100000-20200000000-1100
χ3222222-1222-122-1-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111-222011-2-2111122-1-1000000-1-1-1-100111-120-1-10000020-2000000001-100
χ332222-122-1222-1222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-100222200-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000200-1-1-1-10020000-1-1-1-100000
χ342222-122-1222-1222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-1002-22200-1-1-1-1-1-122-2-21111-1-1-1-1-2-200000-200111100-20000111100000
χ352222-122-1222-1222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-100-22-2-200111111-2-222-1-1-1-11111-2-200000200-1-1-1-100-20000111100000
χ362222-122-1222-1222-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-100-2-2-2-200111111-2-2-2-2111111112200000-20011110020000-1-1-1-100000
χ372222-122-1222-1222-1-1-12-2-1-1-12-122-1-111-2-211112222-1-1-1-1-1-1-1-1-211-2-2111100-2-22200-1-1-1-111-2-222-1-11111112200000-200-1-11100-20000-1-11100000
χ382222-122-1222-1222-1-1-12-2-1-1-12-122-1-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-2111100-222200-1-1-1-111-2-2-2-211-1-11111-2-20000020011-1-1002000011-1-100000
χ392222-122-1222-1222-1-1-12-2-1-1-12-122-1-111-2-21111-2-2221111-1-1-1-1-211-2-21111002-2-2-2001111-1-12222-1-111-1-1-1-1-2-200000-200-1-111002000011-1-100000
χ402222-122-1222-1222-1-1-12-2-1-1-12-122-1-111-2-21111-2-2-2-21111-1-1-1-1-211-2-211110022-2-2001111-1-122-2-211-1-1-1-1-1-1220000020011-1-100-20000-1-11100000
χ412-22-2222-22-2-22-22-2-22220-2-2-2-222-22-2000000002-22i−2i22-2-22-2-2200000000000002-20022-2-200002i−2i2i−2i0000002i−2i000000002i−2i0000000002i−2i0000000
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χ834-44-4-24-22-2-42-2-44221-2-20-12221-22-2-12i3−2i3002i32i3−2i3−2i300−4i4i00001-1-110−i3i300−i3−i3i3i300000000000000002i−2i2i−2i23−2300000000000000−ii−330000000000000000
χ844-44-4-2-24242-4-22-2-42-21-202-1-12-2-2212−2i32i300i3i3−i3−i34-400-2-2221-1-110−2i32i300i3i3−i3−i30000-220011-1-1−2i32i300000000i3i3−i3−i3000000000000000000000000000000
χ854-44-4-2-24242-4-22-2-42-21-202-1-12-2-2212−2i32i300i3i3−i3−i3-440022-2-21-1-110−2i32i300i3i3−i3−i300002-200-1-1112i3−2i300000000−i3−i3i3i3000000000000000000000000000000
χ864-44-4-2-24242-4-22-2-42-21-202-1-12-2-22122i3−2i300−i3−i3i3i34-400-2-2221-1-1102i3−2i300−i3−i3i3i30000-220011-1-12i3−2i300000000−i3−i3i3i3000000000000000000000000000000
χ874-44-4-2-24242-4-22-2-42-21-202-1-12-2-22122i3−2i300−i3−i3i3i3-440022-2-21-1-1102i3−2i300−i3−i3i3i300002-200-1-111−2i32i300000000i3i3−i3−i3000000000000000000000000000000
χ884-4-44444-4-4-4-4-44-4444440-4-444-4-4-4-4400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-42-42-44-4-24-24-202-44-2222-4-20000000000000000-22-22000000000000000−2i32i3000000000000000000000−2i32i30000000000000000000000000
χ904-4-4444-2-42-42-44-4-24-24-202-44-2222-4-20000000000000000-22-220000000000000002i3−2i30000000000000000000002i3−2i30000000000000000000000000
χ914-4-444-24-4-42-4-4-22444-2-20-42-2-2-422240023−2323−23−232300000000-22-2200023−2323−23−232300000000000000000000000000000000000000000000000000000000
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χ944-4-444-2-2-4222-4-22-24-2-21022-212-1-12-20023−2323−23−2323000000001-11-1000−33−333−30000002i3−2i3000000000000000000000−i3i3000−3i3i00000000000000000000
χ954-4-444-2-2-4222-4-22-24-2-21022-212-1-12-200−2323−232323−23000000001-11-10003−33−3−33000000−2i32i3000000000000000000000i3−i3000−3i3i00000000000000000000
χ964-4-444-2-2-4222-4-22-24-2-21022-212-1-12-200−2323−232323−23000000001-11-10003−33−3−330000002i3−2i3000000000000000000000−i3i30003i−3i00000000000000000000
χ974-4-44-2442-4-4-424-44-2-2-24022-242-4-42-2000000000000−2i32i32i3−2i3-22-2200000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ984-4-44-2442-4-4-424-44-2-2-24022-242-4-42-20000000000002i3−2i3−2i32i3-22-22000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ994-4-44-2-242-42-42-224-2-21-202-11-2222-1-20023−23−333−30000−2i32i32i3−2i31-11-100023−23−333−300000000i3−i3−i3i300000000003i−3i−3i3i000000000000000000000000000000
χ1004-4-44-2-242-42-42-224-2-21-202-11-2222-1-20023−23−333−300002i3−2i3−2i32i31-11-100023−23−333−300000000−i3i3i3−i30000000000−3i3i3i−3i000000000000000000000000000000
χ1014-4-44-2-242-42-42-224-2-21-202-11-2222-1-200−23233−3−330000−2i32i32i3−2i31-11-1000−23233−3−3300000000i3−i3−i3i30000000000−3i3i3i−3i000000000000000000000000000000
χ1024-4-44-2-242-42-42-224-2-21-202-11-2222-1-200−23233−3−3300002i3−2i3−2i32i31-11-1000−23233−3−3300000000−i3i3i3−i300000000003i−3i−3i3i000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-484-4-4-8444-8-4-420-4-44-24-2244000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-448-44-8-8442-4-402-444-24-44-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44-4-444444222022-2-2-2-22-2-200006i−6i6i−6i00000000-1-11100000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-44-4-444444222022-2-2-2-22-2-20000−6i6i−6i6i00000000-1-111000003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-4-8-44484-44-8-4-420444-2-42-2-4400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-444-44-4442220-2-2-2-222-22-2−4i34i3002i32i3−2i3−2i300000000-111-102i3−2i300−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-444-44-4442220-2-2-2-222-22-24i3−4i300−2i3−2i32i32i300000000-111-10−2i32i300i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-444-8448-8-4-42-4-40-24-4-4-2444200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-2-222-2-2-2-220043−43−232323−2300000000-11-11000−23233−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-2-222-2-2-2-2200−434323−23−232300000000-11-1100023−23−333−300000000000000000000000000000000000000000000000000000000

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