Finite Group Databasebeta

← Group #13168742

Character table — Group #13168742

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444121212123666121212121212121212444666666661212121212121212121212121212224412121212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111111111-1-111111111-1-1-1-11-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-111111111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-11-1-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-1-1-11-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-11-1111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111-1-1-111-1-11111-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1111-1-11-1-11111-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1111-1-1-111-1-111-1-11-1-11-1-1111111-1-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1111-1-1-1-111111-1-1-111-1-1-1-111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-11111-1-1-11-1111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1111-1-111-1-111-1-11-111-1-11111-11-1-1
χ17222222-122-12-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100222-1-1-1-1-1-122-1-1-1-10022-1-1-1-122000020-1-1-1-100002000-1-1-1-100000000
χ18222222-122-12-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-222-1-1-1-1-1-1-2-211110022-1-1-1-1-2-20000-2011110000-2000111100000000
χ19222222-122-12-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1002-2-211111122-1-1-1-100-2-21111-2-2000020-1-1-1-10000-2000111100000000
χ20222222-122-12-1-12222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2111111-2-2111100-2-21111220000-20111100002000-1-1-1-100000000
χ21222222-122-12-1-12222-1-1-22-1-1-12-1-1-1211-2-211112222-2-21111-1-1-1-1-2-2-211111100-222-1-1-1-1-1-122-1-11100-2-21111220000-20-1-1110000-2000-1-11100000000
χ22222222-122-12-1-12222-1-1-22-1-1-12-1-1-1211-2-2111122-2-2-2-21111-1-1-1-1-2-2-211111100222-1-1-1-1-1-1-2-211-1-100-2-21111-2-200002011-1-10000200011-1-100000000
χ23222222-122-12-1-12222-1-1-22-1-1-12-1-1-1211-2-21111-2-22222-1-1-1-1-1-1-1-1-2-2-211111100-2-2-211111122-1-1110022-1-1-1-1-2-20000-20-1-1110000200011-1-100000000
χ24222222-122-12-1-12222-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2111111002-2-2111111-2-211-1-10022-1-1-1-12200002011-1-10000-2000-1-11100000000
χ2522222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1220-1-122-1-1-1-100000022-1-1-1-1-1-10000-1-1020000-1-1-1-10022000000000-1-10
χ2622222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1-2-20-1-122-1-1-1-1000000-2-2-1-1-1-1-1-10000110-20000111100-2-2000000000110
χ2722222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-122011-2-21111000000221111110000-1-1020000-1-1-1-100-2-2000000000110
χ2822222-12-122-12222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-21111000000-2-21111110000110-2000011110022000000000-1-10
χ2922222-12-122-12222-1-12-1-2-12-1-1-122-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-211-2-211112-20-1-122-1-1-1-1000000221111110000-110-20000-1-111002-2000000000-110
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χ3222222-12-122-12222-1-12-1-2-12-1-1-122-1-1-2-2111111-2-200222222-1-1-1-1-211-2-21111-22011-2-21111000000-2-2-1-1-1-1-1-100001-102000011-1-1002-2000000000-110
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χ352222-1222-12222-1-12-1-122-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20000000011-2-2-2-2-1-100000000-2-2221-11111-1-1-1-10-200000011001000
χ362222-1222-12222-1-12-1-122-1-122-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000000011-2-2-2-2110000000022-2-2111111111102000000-1-100-1000
χ372222-1222-12222-1-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-200000000-1-122-2-2-1-100000000222-211-1-111-1-1110-2000000-1-1001000
χ382222-1222-12222-1-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200000000-1-122-2-21100000000-2-2-221-1-1-11111-1-1020000001100-1000
χ392222-1222-12222-1-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220000000011-2-222-1-100000000-2-22-2-1111-1-1-1-111020000001100-1000
χ402222-1222-12222-1-12-1-12-2-1-122-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2220000000011-2-222110000000022-22-1-111-1-111-1-10-2000000-1-1001000
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χ4822-2-222-122-1-211-2-2-22-1-1021-11-2-111-23−30033−3−3-22-2200−3−333-1-1110003−333−3−3000-221-111-1-1-221-1−330000−3−3332-20000001-1−3300000000-113−300000000
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χ5022-2-222-122-1-211-2-2-22-1-1021-11-2-111-2−3300−3−3332-2-2200−3−333-1-111000−33−3−3330002-2-11-1-111-221-13−30000−3−333-220000001-13−3000000001-13−300000000
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χ904-44-4-244-42-44-442-2-4-2-2402-2-44222-4-2000000000000000000-22-22000000000000000000000000000000000000−4i4i000000000000000000002i−2i000000
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χ984-4-444-2-22-422-224-4-2-2-21022-1-1-22-212002i3−2i3−i3i3i3−i3000000−2i32i32i3−2i31-1-1102i3−2i300−i3i3i3−i300000003-3-330000000000i3−i3−i3i300000000000000000000000000000000
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χ1014-4-44-244-42-4-44-4-224-2-24022-4-4-22-242000000000000000000-222-200000000000000000000000000−2323000000000000000000−2323000000000000000000
χ1024-4-44-2-2422-424-4-22-21-2-20-122212-2-2-100−2i32i3−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i30000000000000000023−23000000000000000000−333i−3i0000000000000000
χ1034-4-44-2-2422-424-4-22-21-2-20-122212-2-2-100−2i32i3−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i300000000000000000−23230000000000000000003−3−3i3i0000000000000000
χ1044-4-44-2-2422-424-4-22-21-2-20-122212-2-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i30000000000000000023−23000000000000000000−33−3i3i0000000000000000
χ1054-4-44-2-2422-424-4-22-21-2-20-122212-2-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i300000000000000000−23230000000000000000003−33i−3i0000000000000000
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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
χ10888-8-8-4-48-4-484-8-84442-4-4024-44-2-444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-4-4-444444422202-22-2-22-2-2-243−4300−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-4-4-444444422202-22-2-22-2-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4-84484-44-4-8-42-40424-44-2-24-40000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4844-8-4-884-442-4-40-2-44-4-244420000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-44-44-442220-22-22-2-2-2-2200006i−6i6i−6i0000000000-11-1100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4444-44-44-442220-22-22-2-2-2-220000−6i6i−6i6i0000000000-11-11000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4-844-8-44-448-42-404-244-4-22-440000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44444-44-44-42220-2-2-2-22-222-200−4i34i32i3−2i3−2i32i30000000000-111-102i3−2i300−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44444-44-44-42220-2-2-2-22-222-2004i3−4i3−2i32i32i3−2i30000000000-111-10−2i32i300i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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