Finite Group Databasebeta

← Group #13170758

Character table — Group #13170758

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order1222333666666666333466666666622224436661212121212121212121212121224466666666121212122244446666666612121212121212121212444444466121212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-111111111-1-1-1-111-1-1-1-1111111111-11-111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111-11-1-11111-1-11111-1-111-1-111-1-11111-11-11-1-11111-1-1-1-1-11-1-1-111-1-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-1-1-11111-11-1-1-111-1-1-11-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111111-1-111-1-1-1-11-1-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-11-11-111-1-111-1-1-1-11-11-1-111-1-11-111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1111111-1-1-1-1-11111-1-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-11-11-1-111-1-111111-11-1-111-1-11-11-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-11-111-1-1111111-11111-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ17222222-12-12-122-1222-1-122-1-1-1-1-12-12222200-1-1-1-1-122-1-1-1-122-1-1-1-12202222-1-1-1-100002200002-1-1-1-1-1-1-1-1020-1-100000000200-1-10000-1000
χ18222222-12-12-122-1222-1-122-1-1-1-1-12-1222-2-200-1-1-1-1-122-1-1-1-122-1-1-1-12-20-2-222-1-1110000-2-200002-111-1-1-1-110-201100000000-2001100001000
χ19222222-12-12-122-1222-1-122-1-1-1-1-12-12-2-22200-1-1-1-1-122-1-1-1-122-1-1-1-1-22022-2-211-1-10000-2-20000-21-1-11111-1020-1-100000000-2001100001000
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χ2522222-1222-122-12-12-12-12-12-1-12-1-12-1220022-1-1-1-12-1222-1-1-1-1-1-1-1-120200-1-12200-1-122002200-1200-1-1-1-10-10200-1-1-1-1000002000-1-1000-100
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χ2822222-1222-122-12-12-12-12-12-1-12-1-12-1-2-200-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-20-20011-2-20011-2-20022001-2001111010-2001111000002000-1-1000-100
χ2922222-1222-122-12-12-12-1-2-12-1-12-1-12-1220022-1-1-1-1-21-2-2-211111111-20-200-1-12200-1-1220022001-200-1-111010-20011-1-100000-2000-1-1000100
χ3022222-1222-122-12-12-12-1-2-12-1-12-1-12-12200-2-2-1-1-1-1-21-2-2-211111111-20200-1-1220011-2-200-2-2001-200-1-1110-10200-1-11100000200011000-100
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χ352222-122-1222-1222-1-1-122-1-122-12-1-1-100-2-222-1-1-1-122-1-1-122-1-1-1-1-1-10-22110000-2-222-1-10000-2-200110000-221-111-1-1-1-1000000-20000110010
χ362222-122-1222-1222-1-1-122-1-122-12-1-1-100-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-2110000-2-2-2-21100002200110000-2-21111111100000020000-1-100-10
χ372222-122-1222-1222-1-1-12-2-1-122-12-1-1-1002222-1-1-1-1-2-2111-2-21111110-2-2-1-100002222-1-100002200-1-10000-2-2111111-1-1000000-20000-1-10010
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χ402222-122-1222-1222-1-1-12-2-1-122-12-1-1-100-2-2-2-2-1-1-1-1-2-2111-2-2111111022110000-2-2-2-2110000220011000022-1-1-1-1-1-111000000-20000-1-10010
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χ9988-8-8-4-4-444-4-4-444442220-2-22-2-2-222-2000000-1-11100000006i−6i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-4-4-444442220-2-22-2-2-222-2000000-1-1110000000−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-48444-8-4-44-8-4-420-4-4-224-24440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-4-84-84-48442-4-402-44-444-24-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-44444-4-444222022-22-2-2-2-2-2000000-11-110006i−6i0000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-44444-4-444222022-22-2-2-2-2-2000000-11-11000−6i6i00003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-44-4-844-848-4-42-404-2442-44-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48484-844-8-4-42-4-40-2444-4-4-2420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-444444-4-42220-2-2-2-222-2-22000000-111-1000006-600-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-444444-4-42220-2-2-2-222-2-22000000-111-100000-66003-3-3300000000000000000000000000000000000000000000000000000000

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