Finite Group Databasebeta

← Group #13169435

Character table — Group #13169435

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444448888888888888812121212121218181818181824242424242424242424242424242424242424242424242436363636363636363636363636363654545454
order1222333446666666663336666666661212121212123666121212121212121212122444444444446666121212121212121212121212121212121212121224466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-111-1-1-1-111111-11-1111-11-11111-1-111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-11-1-111-1-11111-11-1111-11-1111-1-111-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-11-11-1-1-111-1-1-1-1-1-11-11-1-1-11-11-1-1-111-1-111-1-1-1-11-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1-111-1-111-11-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-111-1-11111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111111-1-11-1-1-111-1-1-1-1-11111-1-111-11111-1-1-1-111-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-11111-111-1-1-11-1-11-1-111-1-1-1-1111-1111-1-11111-1-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11-1-1111-111-111-1-11111-1-11-1111-1-11111-1-1-1-111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-1-111-1111-1-111111-1-1-1-11111-11111-1-1-1-111-1-111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-111-1-111-1-111-1-111-1-111
χ17222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1002222000022000022-1-10022-1-100-1-1-1-1-1-1-1-1200-1-100000000-1-10000
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χ19222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100-22-220000-2-20000-221-100-221-10011-1-111-1-1-2001100000000110000
χ20222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000220000-2-21100-2-2110011111111200-1-100000000-1-10000
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χ23222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-211-1-1-1-1-2-21111111100-222-20000-2-20000-22-11002-21-100-1-11111-1-1200-1-100000000110000
χ24222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-211-1-1-1-1-2-21111111100-2-2220000220000-2-2-1-100221100-1-1-1-11111-2001100000000-1-10000
χ2522222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12202020022002-1-1-10-1022-10-102-1-100-1-100-1-1002000000-1-1-1-1000000
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χ2722222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2020200-2-200-21110-102-210-1021100-1-100-1-100-20000001111000000
χ2822222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20-20-2002200-2111010-2-21010-21100110011002000000-1-1-1-1000000
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χ3022222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-2-1-1-1-111-2-21111112-20-2020022002-1-1-10102-210-10-21100-1-1001100-200000011-1-1000000
χ3122222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111-22020-2002200-21110-10-22-10102-1-1001100-1-100-200000011-1-1000000
χ3222222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111-220-20200-2-200-211101022-10-10-2-1-100-1-10011002000000-1-111000000
χ332222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1222020220000-12-1-1-1020-12-1020-1-1-1-100-1-10002000-1-1-1-10000000000
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χ352222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-22020-2-200001-211-10201-2-102011-1-100-1-1000-200011110000000000
χ362222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-20-202200001-21110-201-210-20111100110002000-1-1-1-10000000000
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χ392222-122-2-22-122-1-1222-12-1-12-1-1-12-1-1211-2-2-2-2-1-1-1-11111-2-21111-2220-202200001-211-10-20-121020-1-11100-1-1000-200011-1-10000000000
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χ4944444-2-244-24-2-244-2-2-2-21-2-21-2-2-21-2-2144-2-2-2-21111-2-2-2-211111100040400000000000-20-2000-20-200001100110000000000000000000
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χ9788-8-8-4-4-400-44444-44-4422222-2-2-2-22-2-2000000-11-1100000033−3333−330000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-400-44444-44-4422222-2-2-2-22-2-2000000-11-11000000−3333−33330000000000000000000000000000000000000000000000000000000
χ998-88-88-4-40048-44-8-844-4-42-44-24-44-24-420000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-4004-48444-8-8-42-4-4-244-4-2442-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800-8-4-4-844448-4-4244-2244-2-4-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4004-4-444444-4222-2-2-22-2-2-222000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4004-4-444444-4222-2-2-22-2-2-222000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48i−8i444-4-44-444222-2-22-222-2-2-2−4i4i−4i4i−4i4i-1-1112i−2i2i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4−8i8i444-4-44-444222-2-22-222-2-2-24i−4i4i−4i4i−4i-1-111−2i2i−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000

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