Finite Group Databasebeta

← Group #13170774

Character table — Group #13170774

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order122233366666666633346666666662222443666121212121212121212121212122246666666612121212224444666666666666121212121212444444466121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-1111111111-1-1-1-111-1-1-1-1-11-1111-1-111111111-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-1111111-1-1-1-1111-11-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-1-1-111-1-1-11-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1111111-11-111-1-1-1-11-1-11
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-111-1-11-111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-11111-1-1111111-1-1-1-1-11111-1-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-111-11-1111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-11111-111-1-111-1-11-11-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-11111111111111-1111-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ17222222-122-12-1-12222-1-122-1-1-12-1-12-1222200-1-1-1-12-1222-1-1-1-1-1-1-1-12022222-1-1-1-10000220000020-1-1-100-1-1-1-12-1-1-1000000020-1-10000-1000
χ18222222-122-12-1-12222-1-122-1-1-12-1-12-122-2-200-1-1-1-12-1222-1-1-1-1-1-1-1-120-2-2-222-1-1110000-2-20000020-11100-1-1-1-1-21110000000-201100001000
χ19222222-122-12-1-12222-1-122-1-1-12-1-12-1-2-22200-1-1-1-12-1222-1-1-1-1-1-1-1-1-20222-2-211-1-10000-2-200000-201-1-10011112-1-1-10000000-201100001000
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χ24222222-122-12-1-12222-1-1-22-1-1-12-1-12-1-2-2-2-200-1-1-1-1-21-2-2-211111111202-2-2-2-211110000220000020-1110011-1-12-1-1-10000000-20-1-100001000
χ2522222-12-122222-1-12-12-12-12-1-1-12-1-12220022-1-1-1-122-1-1-122-1-1-1-1-1-122000-1-12200-1-1220022002-1-1200-1-1-1-1-1-10000-1-1000020000-1-1000-100
χ2622222-12-122222-1-12-12-12-12-1-1-12-1-122200-2-2-1-1-1-122-1-1-122-1-1-1-1-1-12-2000-1-1220011-2-200-2-200-2-1120011-1-1-1-10000110000-2000011000100
χ2722222-12-122222-1-12-12-12-12-1-1-12-1-12-2-20022-1-1-1-122-1-1-122-1-1-1-1-1-1-2200011-2-200-1-12200-2-20021-1-200-1-111110000-1-10000-2000011000100
χ2822222-12-122222-1-12-12-12-12-1-1-12-1-12-2-200-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1-2-200011-2-20011-2-2002200-211-200111111000011000020000-1-1000-100
χ2922222-12-122222-1-12-12-1-2-12-1-1-12-1-12220022-1-1-1-1-2-2111-2-2111111-2-2000-1-12200-1-122002200-211-20011-1-1110000-1-10000-20000-1-1000100
χ3022222-12-122222-1-12-12-1-2-12-1-1-12-1-122200-2-2-1-1-1-1-2-2111-2-2111111-22000-1-1220011-2-200-2-20021-1-200-1-1-1-11100001100002000011000-100
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χ3222222-12-122222-1-12-12-1-2-12-1-1-12-1-12-2-200-2-2-1-1-1-1-2-2111-2-21111112200011-2-20011-2-20022002-1-1200-1-111-1-10000110000-20000-1-1000100
χ332222-1222-12-12222-1-1-122-1-122-1-12-1-1002222-1-1-1-1-122-1-1-1-122-1-1-1-1022-1-100002222-1-1000022-1020-1-1-1-10000-12-1-1-1-100000020000-1-100-10
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χ352222-1222-12-12222-1-1-122-1-122-1-12-1-100-2-222-1-1-1-1-122-1-1-1-122-1-1-1-102-2110000-2-222-1-10000-2-2-102011-1-100001-211-1-1000000-20000110010
χ362222-1222-12-12222-1-1-122-1-122-1-12-1-100-2-2-2-2-1-1-1-1-122-1-1-1-122-1-1-1-10-2-2110000-2-2-2-21100002210-20111100001-2111100000020000-1-100-10
χ372222-1222-12-12222-1-1-12-2-1-122-1-12-1-1002222-1-1-1-11-2-21111-2-211110-2-2-1-100002222-1-100002210-20-1-11100001-211-1-1000000-20000-1-10010
χ382222-1222-12-12222-1-1-12-2-1-122-1-12-1-10022-2-2-1-1-1-11-2-21111-2-2111102-2-1-1000022-2-2110000-2-2-1020-1-1-1-100001-21111000000200001100-10
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χ402222-1222-12-12222-1-1-12-2-1-122-1-12-1-100-2-2-2-2-1-1-1-11-2-21111-2-21111022110000-2-2-2-211000022-102011-1-10000-12-1-111000000-20000-1-10010
χ4122-2-2222-222-2-2-22-2-22220-2-2-2-2222-2-22-200002-2-220000000000000000002-22-200000000002i−2i000000002-2000000002i2i−2i−2i00000002i−2i0000
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χ9988-8-8-4-4-44-4-4444-4442220-2-2-2-2222-2-2000000-111-100000006-6-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-4-4444-4442220-2-2-2-2222-2-2000000-111-10000000-6633-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-4-848-4444-8-4-420-442-244-24-400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-4844-4-44-8-84-42-40-4-2-444-244200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444-4-4444422202-22-2-2-2-2-22000000-1-1110006i−6i0000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444-4-4444422202-22-2-2-2-2-22000000-1-111000−6i6i00003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44-84-84-44-48-4-4204-4-2244-2-440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-84-884-4-42-4-40-2-44-4-244240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444444-44-4-42220-22-22-2-2-22-2000000-11-11000006i−6i00−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444444-44-4-42220-22-22-2-2-22-2000000-11-1100000−6i6i003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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