Finite Group Databasebeta

← Group #13169363

Character table — Group #13169363

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111-1-111111111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111-1-1-1-111-1-11111111111-1-1-1-111-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111-1-1-1-11-1-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111111111-1-1-1-11111-11-1-111-1-111-1-1-1-11-11111-1-1-1-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111111111-1-1-1-111-1-11-1-11-1-11111-1-1-11-11-1-111-1-111-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1111-111-1-1-1-111111-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-111-1-111-1-11111-1-111-1-111-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-11-1-111-1-111-1-111-1-111-1-11111-11-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11-111-1-1-1-111-1-11-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-111-11-11-1-111-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-111-1-11-11111-1-1111-1-1-1
χ17222222-122-122-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1202-1-1220000-1-10022-1-1-1-1-1-1-1-10000-1-102-1-1-1-10000022000000000-1-100
χ18222222-122-122-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1-20-2-1-1-2-20000-1-10022-1-1-1-1-1-1-1-10000110-2111100000-2-20000000001100
χ19222222-122-122-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1202112200001100-2-2111111110000-1-102-1-1-1-100000-2-20000000001100
χ20222222-122-122-1-1222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-211-2-200001100-2-2111111110000110-211110000022000000000-1-100
χ21222222-122-122-1-1222-1-1-222-1-1-1-1-1-12-2-211111122-2-200-2-2-2-2-1-1-1-1-211-2-2111120-211220000-1-10022-1-1-1-1111100001-10-2-1-11100000-22000000000-1100
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χ23222222-122-122-1-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-222002222-1-1-1-1-211-2-2111120-2-1-12200001100-2-21111-1-1-1-100001-10-2-1-111000002-20000000001-100
χ24222222-122-122-1-1222-1-1-222-1-1-1-1-1-12-2-2111111-2-222002222-1-1-1-1-211-2-21111-202-1-1-2-200001100-2-21111-1-1-1-10000-110211-1-100000-22000000000-1100
χ2522222-122-122-122-12-12-12-1-1-1222-1-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1222200-1-10000000000002222-1-1-1-1-1-1-1-1-1-10002-1-100000000-10
χ2622222-122-122-122-12-12-12-1-1-1222-1-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20011222200-1-1000000000000-2-2-2-2-111111-1-1-1-1000-2110000000010
χ2722222-122-122-122-12-12-12-1-1-1222-1-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2200-1-1-2-2-2-20011000000000000-2-2221-1-1-1-1-11111000-2110000000010
χ2822222-122-122-122-12-12-12-1-1-1222-1-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2-2-2001100000000000022-2-211111111110002-1-100000000-10
χ2922222-122-122-122-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-200-1-122-2-200-1-100000000000022-2211-1-111-1-111000-2-1-10000000010
χ3022222-122-122-122-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22001122-2-200-1-1000000000000-2-22-21-111-1-1-1-11100021100000000-10
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χ3222222-122-122-122-12-12-1-2-1-1-1222-1-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-2220011-2-2220011000000000000222-2-1-111-1-111-1-1000-2-1-10000000010
χ332222-122-122-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10202200-1-1-1-12222-1-1-1-1-1-1-1-1-1-1220000200000-1-1-1-1200000-1-1-1-1000000
χ342222-122-122-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-202200111122-2-2-1-1-1-1-1-1-1-1-1-1-2-20000-2000001111-2000001111000000
χ352222-122-122-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1020-2-200-1-1-1-1-2-2221111111111-2-20000200000-1-1-1-1-2000001111000000
χ362222-122-122-12222-1-1-122-1-12-1-1-122-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-20-2-2001111-2-2-2-21111111111220000-2000001111200000-1-1-1-1000000
χ372222-122-122-12222-1-1-12-2-1-12-1-1-122-111-2-2111122-2-2221111-1-1-1-1-2-2-21111110-20-2-200-1-1112222-1-1-1-1-1-11111220000-200000-1-111-200000-1-111000000
χ382222-122-122-12222-1-1-12-2-1-12-1-1-122-111-2-2111122-2-2-2-21111-1-1-1-1-2-2-2111111020-2-20011-1-122-2-2-1-1-1-1-1-11111-2-2000020000011-1-120000011-1-1000000
χ392222-122-122-12222-1-1-12-2-1-12-1-1-122-111-2-21111-2-22222-1-1-1-1-1-1-1-1-2-2-21111110-202200-1-111-2-222111111-1-1-1-1-2-20000-200000-1-11120000011-1-1000000
χ402222-122-122-12222-1-1-12-2-1-12-1-1-122-111-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2111111020220011-1-1-2-2-2-2111111-1-1-1-122000020000011-1-1-200000-1-111000000
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χ452-2-22222-2-2-22-22-22-22220-2-2-22-2-2-222000000002i−2i002-200002-2-2200000000000000002-2002i−2i2-22i−2i2i2i−2i−2i00002i−2i00000000002-2000000002i−2i00000000
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χ482-2-22222-2-2-22-22-22-22220-2-2-22-2-2-22200000000−2i2i00-2200002-2-220000000000000000-2200−2i2i-22−2i2i−2i−2i2i2i00002i−2i0000000000-22000000002i−2i00000000
χ492-2-22-1221-2-2-1-22-221-1-12011-2-111-22-1−i3i300−i3−i3i3i32i−2i002-23−33−3-111-1000−i3i3−i3−i3i3i30000000-11−i3i32i−2i2-2−ii−i−iii3−33−32i−2i0000000000-11−i3i3000000−ii3−3000000
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χ904-44-4-24-2-2-4-22422-42-21-20-22-2-11-122200003i−3i−3i3i004-400-2-22211-1-1000003i−3i−3i3i000-220000000000003i−3i−3i3i11-1-100000000000000000000000000000000
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χ924-44-4-24-2-2-4-22422-42-21-20-22-2-11-12220000−3i3i3i−3i004-400-2-22211-1-100000−3i3i3i−3i000-22000000000000−3i3i3i−3i11-1-100000000000000000000000000000000
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χ944-4-4444-2-4-424-4-224-44-2-20-4-42-2222-24000000004i−4i00000000-222-200000000000000000000−2i2i004i−4i−2i−2i2i2i000000000000000000000000000000000000
χ954-4-4444-2-4-424-4-224-44-2-20-4-42-2222-2400000000−4i4i00000000-222-2000000000000000000002i−2i00−4i4i2i2i−2i−2i000000000000000000000000000000000000
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χ994-4-44-24-22-42-2-4-2242-21-202221-1-12-2-2−2i32i300i3i3−i3−i3−4i4i0000−2323−23231-1-11000−2i32i3i3i3−i3−i3000000000002i−2i002i−2i−i−iii3−33−300000000000000000000000000000000
χ1004-4-44-24-22-42-2-4-2242-21-202221-1-12-2-22i3−2i300−i3−i3i3i34i−4i0000−2323−23231-1-110002i3−2i3−i3−i3i3i300000000000−2i2i00−2i2iii−i−i3−33−300000000000000000000000000000000
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χ1024-4-44-2-2422-4-224-4-221-2-20-1-12-2222-21−2i32i300−2i3−2i32i32i300004-400001-1-11000i3−i3i3i3−i3−i30000000-22−2i32i300-2200000000000000000000001-1i3−i30000000000000000
χ1034-4-44-2-2422-4-224-4-221-2-20-1-12-2222-21−2i32i300−2i3−2i32i32i30000-4400001-1-11000i3−i3i3i3−i3−i300000002-22i3−2i3002-20000000000000000000000-11−i3i30000000000000000
χ1044-4-44-2-2422-4-224-4-221-2-20-1-12-2222-212i3−2i3002i32i3−2i3−2i300004-400001-1-11000−i3i3−i3−i3i3i30000000-222i3−2i300-2200000000000000000000001-1−i3i30000000000000000
χ1054-4-44-2-2422-4-224-4-221-2-20-1-12-2222-212i3−2i3002i32i3−2i3−2i30000-4400001-1-11000−i3i3−i3−i3i3i300000002-2−2i32i3002-20000000000000000000000-11i3−i30000000000000000
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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
χ10888-8-8-4-484-4-844-884-42-4-40-22444-4-44-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-44444-44-42220-22-2-2-222-2-20043−43−2323−23230000000000-11-110−2323003−33−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-44444-44-42220-22-2-2-222-2-200−434323−2323−230000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-484-4-8-4444-8-4-420-4424-44-2-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48-4484-4-8-8442-4-402-2-44-4444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-44-44-4444422202-22-22-2-2-2-200006i−6i−6i6i0000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-44-44-4444422202-22-22-2-2-2-20000−6i6i6i−6i0000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-4-84484-44-4-8-4-42044-2-444-22-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4444-44-44-442220-2-2-22-2-2-222−4i34i3002i32i3−2i3−2i30000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4444-44-44-442220-2-2-22-2-2-2224i3−4i300−2i3−2i32i32i30000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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