Finite Group Databasebeta

← Group #13168739

Character table — Group #13168739

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444121212123666121212121212121212444666666661212121212121212121212121212224412121212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1111111-1-1-1-11-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11111111111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-1-1-1-11111-11-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-111-1-1-1-111111-1-1-111-1-111-1-1-1-11-111-1-111-1-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-1111-1-1111-1-1-1-111-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111-1-1-111-1-1111-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111-11-11-1-11111-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111-1-1-111-1-111-1-1-11-11-1-1111111-11-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-1111-1-1-1-111111-1-1-111-1-1-1-11-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1111-1-111-1-111-1-11-111-1-111111-1-1-1
χ17222222-122-1-12-12222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-1-1-122-1-1-1-12200-1-1-1-122000020-1-1-1-100000200-1-1-1-100000000
χ18222222-122-1-12-12222-1-1222-1-1-1-1-1-12-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20022-1-1-1-1-1-1-2-211112200-1-1-1-1-2-20000-20111100000-200111100000000
χ19222222-122-1-12-12222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1200-2-211111122-1-1-1-1-2-2001111-2-2000020-1-1-1-100000-200111100000000
χ20222222-122-1-12-12222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-2111111-2-21111-2-2001111220000-20111100000200-1-1-1-100000000
χ21222222-122-1-12-12222-1-1-222-1-1-1-1-1-1211-2-211112222-2-21111-1-1-1-1-211-2-21111-20022-1-1-1-1-1-122-1-111-2-2001111220000-20-1-11100000-200-1-11100000000
χ22222222-122-1-12-12222-1-1-222-1-1-1-1-1-1211-2-2111122-2-2-2-21111-1-1-1-1-211-2-2111120022-1-1-1-1-1-1-2-211-1-1-2-2001111-2-200002011-1-10000020011-1-100000000
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χ24222222-122-1-12-12222-1-1-222-1-1-1-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-2-2111111-2-211-1-12200-1-1-1-12200002011-1-100000-200-1-11100000000
χ2522222-12-122222-1-12-12-12-1-12-1-122-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1022-1-122-1-1-1-1000000-1-122-1-1-1-10000-1-1020000-1-1-1-1002200000000-1-100
χ2622222-12-122222-1-12-12-12-1-12-1-122-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-2-1-122-1-1-1-1000000-1-1-2-2-1-1-1-10000110-20000111100-2-2000000001100
χ2722222-12-122222-1-12-12-12-1-12-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-102211-2-21111000000112211110000-1-1020000-1-1-1-100-2-2000000001100
χ2822222-12-122222-1-12-12-12-1-12-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-211-2-2111100000011-2-211110000110-200001111002200000000-1-100
χ2922222-12-122222-1-12-12-1-2-1-12-1-122-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-2-1-122-1-1-1-1000000112211110000-110-20000-1-111002-200000000-1100
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χ3122222-12-122222-1-12-12-1-2-1-12-1-122-1-1-2-2111111-2-200222222-1-1-1-1-2-2-211111102-211-2-21111000000-1-122-1-1-1-10000-110-20000-1-11100-22000000001-100
χ3222222-12-122222-1-12-12-1-2-1-12-1-122-1-1-2-2111111-2-200222222-1-1-1-1-2-2-21111110-2211-2-21111000000-1-1-2-2-1-1-1-100001-102000011-1-1002-200000000-1100
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χ342222-1222-122-1222-1-1-122-1-1-122-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-200000000-1-122220011000000-2-2-2-2-11-1-1-1-11111-2000000011000010
χ352222-1222-122-1222-1-1-122-1-1-122-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2220000000011-2-2-2-200-1-1000000-2-2221-11111-1-1-1-1-2000000011000010
χ362222-1222-122-1222-1-1-122-1-1-122-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000000011-2-2-2-2001100000022-2-2111111111120000000-1-10000-10
χ372222-1222-122-1222-1-1-12-2-1-1-122-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200000000-1-122-2-200-1-1000000222-211-1-111-1-111-20000000-1-1000010
χ382222-1222-122-1222-1-1-12-2-1-1-122-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-2200000000-1-122-2-20011000000-2-2-221-1-1-11111-1-120000000110000-10
χ392222-1222-122-1222-1-1-12-2-1-1-122-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-20000000011-2-22200-1-1000000-2-22-2-1111-1-1-1-11120000000110000-10
χ402222-1222-122-1222-1-1-12-2-1-1-122-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220000000011-2-222001100000022-22-1-111-1-111-1-1-20000000-1-1000010
χ4122-2-2222222-2-2-2-2-2-222202-2-22-22-2-2-2000000002-22-200000022-2-20000000000002-22-222-2-22-22-200000000002-20000002-200000000002-20000000000
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χ4722-2-222-122-11-21-2-2-22-1-102-21-11-111-23−30033−3−3-222-200−3−333-1-11103−30033−3−3000-221-111-1-12-2-113−30000−3−333-22000000-113−3000000001-1−3300000000
χ4822-2-222-122-11-21-2-2-22-1-102-21-11-111-23−30033−3−3-22-2200−3−333-1-11103−30033−3−3000-221-111-1-1-221-1−330000−3−3332-20000001-1−3300000000-113−300000000
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χ5022-2-222-122-11-21-2-2-22-1-102-21-11-111-2−3300−3−3332-2-2200−3−333-1-1110−3300−3−3330002-2-11-1-111-221-13−30000−3−333-220000001-13−3000000001-13−300000000
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χ894-44-44-2-22-42-2-42-224-2-210222-1-12-21-2002i3−2i3−i3i3−i3i30000002i3−2i3−2i32i31-1-110002i3−2i3−i3i3−i3i300000003-33-30000000000−i3i3i3−i300000000000000000000000000000000
χ904-44-4-244-42-442-44-4-2-2-240222-4-42-24-2000000000000000000-222-20000000000000000000000000000−2i32i30000000000000000−2i32i3000000000000000000
χ914-44-4-244-42-442-44-4-2-2-240222-4-42-24-2000000000000000000-222-200000000000000000000000000002i3−2i300000000000000002i3−2i3000000000000000000
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χ934-44-4-2-2422-442-4-22-21-2-20-1-12222-2-2100−2i32i3−2i32i3−2i32i300000000001-1-11000i3−i3i3−i3i3−i300000000000000000002i3−2i30000000000000000−i3i3-330000000000000000
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χ974-4-4444-2-4-4224-2-44-44-2-20-44-22-2222-4000000000000−4i4i2i−2i2i−2i-22-2200000000000000000000000000−4i4i002i−2i2i−2i00000000000000000000000000000000
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χ994-4-444-242-4-4-4442-2-4-24-202-242-2-4-422000000000000−4i4i−4i4i−4i4i-22-22000000000000000000000000002i−2i002i−2i2i−2i00000000000000000000000000000000
χ1004-4-444-2-22-4224-22-2-4-2-2102-2-2-1122-1200003i−3i−3i3i00004i−4i−2i2i−2i2i1-11-1000003i−3i−3i3i0000000-333-3000000−2i2i00i−ii−i00000000000000000000000000000000
χ1014-4-444-2-22-4224-22-2-4-2-2102-2-2-1122-1200003i−3i−3i3i0000−4i4i2i−2i2i−2i1-11-1000003i−3i−3i3i00000003-3-330000002i−2i00−ii−ii00000000000000000000000000000000
χ1024-4-444-2-22-4224-22-2-4-2-2102-2-2-1122-120000−3i3i3i−3i00004i−4i−2i2i−2i2i1-11-100000−3i3i3i−3i00000003-3-33000000−2i2i00i−ii−i00000000000000000000000000000000
χ1034-4-444-2-22-4224-22-2-4-2-2102-2-2-1122-120000−3i3i3i−3i0000−4i4i2i−2i2i−2i1-11-100000−3i3i3i−3i0000000-333-30000002i−2i00−ii−ii00000000000000000000000000000000
χ1044-4-44-244-42-4-4-24-442-2-2402-2-2-4422-42000000000000000000-22-220000000000000000000000000000000000004-400000000000000000000-22000000
χ1054-4-44-244-42-4-4-24-442-2-2402-2-2-4422-42000000000000000000-22-22000000000000000000000000000000000000-44000000000000000000002-2000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
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
χ10888-8-8-4-48-4-48-84-84442-4-402-24-44-444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-4-4-444444422202-2-22-22-2-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-4-4-444444422202-2-22-22-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4-844-4448-8-4-42-4044-244-22-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4444-444-44-42220-2-2-2-2-2-222200−4i34i32i3−2i32i3−2i30000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-444-44-42220-2-2-2-2-2-2222004i3−4i3−2i32i3−2i32i30000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-4-8444-4-4-884-42-404-424-4-2-2440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4844-8-8-484-442-4-40-22-44-4444-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44444-4-44-442220-222-22-2-2-2-200006i−6i−6i6i0000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44444-4-44-442220-222-22-2-2-2-20000−6i6i6i−6i0000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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