Finite Group Databasebeta

← Group #13168340

Character table — Group #13168340

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212224466663666121212121212121212444466666612121212121212121212121212121212441212121212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1111111111111-1-11-11111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-11111-1-1111111-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-1-11-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1111111111111111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111111-1-1-11-1-111-1-11-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-11-1-1-111-1-111-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11-111111-1-1-11-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-1111-1-11-111-1-1-1-11-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111-1-1-1-1-1-11111-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-11-111-1-11111-1-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111111111-1-1111111-1-11-1-1-111-1-111-1-1-11-111-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-11-1111-1-1-1-111111-1-1-1-1-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1111111111111111-11-1-1-11111-1-11-1-11-111-1-1-1-11-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-111-1-111-1-11-111111-1-1-11-1-11
χ17222222-12-122-122-122-1-122-1-1-12-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002222-1-1-1-122-1-100-1-1-1-122-1-1-1-1220020-1-1-1-1000002000-1-100-1-100000
χ18222222-12-122-122-122-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002-222-1-1-1-1-2-21100-1-11122-1-1-1-1-2-200-20111100000-200011001100000
χ19222222-12-122-122-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2221111-1-1-1-1222-1-1-1-1-1-100-22-2-2111122-1-10011-1-1-2-21111-2-20020-1-1-1-100000-200011001100000
χ20222222-12-122-122-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2-21111-2-211001111-2-211112200-201111000002000-1-100-1-100000
χ21222222-12-122-122-122-1-1-22-1-1-12-1-1-1211-2-211112222-1-1-1-1-1-1-1-1-2-2-211111100-2-222-1-1-1-122-1-1001111-2-211112200-20-1-11100000-2000-1-1001100000
χ22222222-12-122-122-122-1-1-22-1-1-12-1-1-1211-2-2111122-2-2-1-1-1-1-1-1-1-1-2-2-211111100-2222-1-1-1-1-2-2110011-1-1-2-21111-2-2002011-1-10000020001100-1-100000
χ23222222-12-122-122-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2221111-1-1-1-1-2-2-2111111002-2-2-2111122-1-100-1-11122-1-1-1-1-2-200-20-1-1110000020001100-1-100000
χ24222222-12-122-122-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-21111-1-1-1-1-2-2-21111110022-2-21111-2-21100-1-1-1-122-1-1-1-122002011-1-100000-2000-1-1001100000
χ2522222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-122002222-1-1-1-12-1-122-1-1-1-12220-1-1-1-1-1-10000222200-1-1-1-1-1-100-1-1020000-1-1-1-1002200000000-1-100
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χ2722222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-122-20111111000022-2-20011111100-1-1020000-1-1-1-100-2-2000000001100
χ2822222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2-201111110000-2-2-2-20011111100110-200001111002200000000-1-100
χ2922222-12-122-12222-1-12-1-2-12-1-1-122-1-1-2-211111122002222-1-1-1-1-211-2-211112-2-20-1-1-1-1-1-1000022-2-20011111100-110-20000-1-111002-200000000-1100
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χ3222222-12-122-12222-1-12-1-2-12-1-1-122-1-1-2-2111111-2-200-2-2-2-2-1-1-1-1-211-2-21111-22201111110000-2-22200-1-1-1-1-1-1001-102000011-1-1002-200000000-1100
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χ362222-12222-122-1-122-1-122-1-122-1-1-12-12222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-200000011-2-21100-2-200000000-2-211111111112000200-1-100-10000
χ372222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-11111111112-20-2000000-1-122-1-100-2-2000000002-211-1-111-1-111-2000200-1-10010000
χ382222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-220-2000000-1-1221100-2-200000000-221-1-1-11111-1-12000-2001100-10000
χ392222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-11111111112-20200000011-2-2-1-10022000000002-2-1111-1-1-1-1112000-2001100-10000
χ402222-12222-122-1-122-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111-220200000011-2-211002200000000-22-1-111-1-111-1-1-2000200-1-10010000
χ4122-2-22222-22-22-2-2-2-222202-22-2-22-2-2-2000000002-22-222-2-222-2-200000000000002-222-2-22-22-20000000000002-200002-2000000000002-2000000000
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χ4622-2-222-1212-2-1-2-21-22-1-1021-11-2-111-23−30033−3−32-2-22-1-111-1-1110003−333−3−300002-2-1-111-221-1003−3−330033−3−3-2200001-1−330000000001-100−3300000
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χ4922-2-222-1212-2-1-2-21-22-1-1021-11-2-111-2−3300−3−3332-22-2-1-111-1-111000−33−3−33300002-2-1-1112-2-1100−33−3300−3−3332-20000-11−33000000000-1100−3300000
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χ874-44-4-244-4424-42-2-4-4-2-2402-2-44222-4-20000000000000000-22-2200000000000000000000000000000000000000000000000000000000−23230000000
χ884-4-44444-4-4-4-4-44-4444440-4-4-4-44-444-400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-42-4-424-4-244-2-20-422242-2-2-4000000000000−2i32i32i3−2i3-222-2000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ904-4-4444-2-42-4-424-4-244-2-20-422242-2-2-40000000000002i3−2i3−2i32i3-222-20000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ914-4-444-242-4-42-44-44-2-24-202-422-2-44-2200−2i32i3−2i32i32i3−2i300000000-222-20−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ924-4-444-242-4-42-44-44-2-24-202-422-2-44-22002i3−2i32i3−2i3−2i32i300000000-222-202i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ934-4-444-2-222-4224-4-2-2-2-21022-1-1-22-21200−2i32i3i3−i3−i3i30000−2i32i32i3−2i31-1-110−2i32i300i3−i3−i3i3000000i3−i3−i3i30000000000003-3-33000000000000000000000000000000
χ944-4-444-2-222-4224-4-2-2-2-21022-1-1-22-21200−2i32i3i3−i3−i3i300002i3−2i3−2i32i31-1-110−2i32i300i3−i3−i3i3000000−i3i3i3−i3000000000000-333-3000000000000000000000000000000
χ954-4-444-2-222-4224-4-2-2-2-21022-1-1-22-212002i3−2i3−i3i3i3−i30000−2i32i32i3−2i31-1-1102i3−2i300−i3i3i3−i3000000i3−i3−i3i3000000000000-333-3000000000000000000000000000000
χ964-4-444-2-222-4224-4-2-2-2-21022-1-1-22-212002i3−2i3−i3i3i3−i300002i3−2i3−2i32i31-1-1102i3−2i300−i3i3i3−i3000000−i3i3i3−i30000000000003-3-33000000000000000000000000000000
χ974-4-44-244-4-42-4-4-2244-2-24022-4-4-22-2420000000000000000-222-20000000000000000000000023−230000000000000000000023−23000000000000000000
χ984-4-44-244-4-42-4-4-2244-2-24022-4-4-22-2420000000000000000-222-200000000000000000000000−232300000000000000000000−2323000000000000000000
χ994-4-44-2-242-422-4-224-21-2-20-122212-2-2-100−2i32i3−2i32i32i3−2i3000000001-1-110i3−i300i3−i3−i3i30000000000000023−2300000000000000000000−333i−3i0000000000000000
χ1004-4-44-2-242-422-4-224-21-2-20-122212-2-2-100−2i32i3−2i32i32i3−2i3000000001-1-110i3−i300i3−i3−i3i300000000000000−2323000000000000000000003−3−3i3i0000000000000000
χ1014-4-44-2-242-422-4-224-21-2-20-122212-2-2-1002i3−2i32i3−2i3−2i32i3000000001-1-110−i3i300−i3i3i3−i30000000000000023−2300000000000000000000−33−3i3i0000000000000000
χ1024-4-44-2-242-422-4-224-21-2-20-122212-2-2-1002i3−2i32i3−2i3−2i32i3000000001-1-110−i3i300−i3i3i3−i300000000000000−2323000000000000000000003−33i−3i0000000000000000
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
χ10588-8-8-4-48-4-8-44844-842-4-4024-44-2-444-2000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44-44-4444422202-22-2-22-2-2-243−4300−23−23232300000000-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44-44-4444422202-22-2-22-2-2-2−4343002323−23−2300000000-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-4-8-44844-44-8-42-40424-44-2-24-400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48484-4-84-4-842-4-40-2-44-4-2444200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-44-444-4442220-22-22-2-2-2-2200006i−6i6i−6i00000000-11-1100000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-44-444-4442220-22-22-2-2-2-220000−6i6i−6i6i00000000-11-11000003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4-844-84-44-48-42-404-244-4-22-4400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-42220-2-2-2-22-222-200−4i34i32i3−2i3−2i32i300000000-111-102i3−2i300−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-42220-2-2-2-22-222-2004i3−4i3−2i32i32i3−2i300000000-111-10−2i32i300i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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