Finite Group Databasebeta

← Group #13168552

Character table — Group #13168552

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666644443666121212121212121212121212124444121212121212121212121212444412121212121212121212121212121212121222446612121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1111111-1-1-1-111-111-111-1-111-1-111111-1-1111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-1111111-1-111-1-111-1-11-11-11111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111111111111-1-1111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111111-1-1
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1111111-1-111-1-111-1111-11-1-111-1-1111111-11-1-1-1-111-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-11111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1111111-1-11
χ711111111111111111111111111111-1-1-1-111111111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-1111-1-1-1-11111-11-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111111-1-111-1-1-1-1-1111-1-1-1-11111-1-11-11-11111-1-111-1-1-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1111-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1111-1-11111-1-1-1-1-1-111-1-1-11-1-1111111-1-1-11-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-11-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1-11-11-11-1-1-11111-1-111-1-1-1111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111-1-111-1111-1-1-1-11111-1-11111-1-111-1-11111-1-11-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1111-11-11111-1-1-1-111-1-11
χ17222222-12222-1-1-1222-1-122-1-1-12-12-1-10022-1-1-1-12-12-1-122-1-1-1-1-1-102220022-1-1-1-1002200220-1-120200-1-100-1-1-1-1-1-1020000-1-1000000-100
χ18222222-12222-1-1-1222-1-122-1-1-12-12-1-10022-1-1-1-12-12-1-122-1-1-1-1-1-10-2-2200-2-211-1-1002200-2-20-1120-200110011-1-1-1-10-2000011000000100
χ19222222-12222-1-1-1222-1-122-1-1-12-12-1-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1022-20022-1-11100-2-200-2-201-1-20200-1-100-1-111110-2000011000000100
χ20222222-12222-1-1-1222-1-122-1-1-12-12-1-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-10-2-2-200-2-2111100-2-20022011-20-2001100111111020000-1-1000000-100
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χ2622222-12-122-1222-12-12-12-12-1-1-12-12-122-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1200-2220000-2-2-1-1110000-1-20120-1-100-1-1001111-200-21100000000010
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χ2822222-12-122-1222-12-12-12-12-1-1-12-12-1-2-2-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-2-20000-2-2111100001-201-201100110011112002-1-1000000000-10
χ2922222-12-122-1222-12-12-1-2-12-1-1-12-12-12222-1-1-1-11-2-21111-2-21111-200-222000022-1-1-1-100001-201-20-1-1001100-1-111200-2-1-100000000010
χ3022222-12-122-1222-12-12-1-2-12-1-1-12-12-122-2-2-1-1-1-11-2-21111-2-21111-2002220000-2-2-1-1110000120-1-20-1-100110011-1-1-200211000000000-10
χ3122222-12-122-1222-12-12-1-2-12-1-1-12-12-1-2-222-1-1-1-11-2-21111-2-21111200-2-2-200002211-1-10000-1-201201100-1-100-1-111-200211000000000-10
χ3222222-12-122-1222-12-12-1-2-12-1-1-12-12-1-2-2-2-2-1-1-1-11-2-21111-2-211112002-2-20000-2-211110000-120-1201100-1-10011-1-1200-2-1-100000000010
χ332222-1222-1-122222-1-1-122-1-122-1-1-1-122200-1-1-1-122-122-1-1-1-1-1-1-1-12220-1-1-1-12200220022002020-1-1-1-1-1-1-1-1-1-1000000200000-1-1000000-1
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χ362222-1222-1-122222-1-1-122-1-122-1-1-1-12-2-200-1-1-1-122-122-1-1-1-1-1-1-1-1-2-2-201111-2-200-2-2002200-20-201111111111000000200000-1-1000000-1
χ372222-1222-1-122222-1-1-12-2-1-122-1-1-1-122200-1-1-1-1-2-21-2-211111111-22-20-1-11122002200-2-200-20-201-1-1-11111-1-100000020000011000000-1
χ382222-1222-1-122222-1-1-12-2-1-122-1-1-1-122200-1-1-1-1-2-21-2-211111111-2-220-1-1-1-1-2-20022002200-202011-1-1-1-11111000000-200000-1-10000001
χ392222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-200-1-1-1-1-2-21-2-21111111122-2011112200-2-200220020-20-1-11111-1-1-1-1000000-200000-1-10000001
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χ1038-8-88-48-4-8-44-84-4484-42-404244-4-24-2-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4444-44-442220-22-2-22-2-2-220000-1-111000006i−6i00−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4444-44-442220-22-2-22-2-2-220000-1-11100000−6i6i003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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