Finite Group Databasebeta

← Group #13168241

Character table — Group #13168241

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666644443666121212121212121212121212124444121212121212121212121212224412121212121212121212121212121212121224446612121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111-1-11111-1-1-1-1-1-11-111-1111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111-1111-1-1111111-1-111-1-111-11-111111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-1-11-1-111-1-111-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-11-1-111-1-1-1-11111-11-1
χ511111111111111111111111111111-1-11111111111111111111111-111-1-111-1-1111111-1-1111-11-1-1-111-1-1111111-11-1-111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-111-1-111-1-1-1-11-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-111-1-1-11111-1-111-11-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111111111-1-1-11-1-1-1-1-1-11111-1-1-1-1111-11-111-1-11111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111-11-11-1-1-1-1-1111111-1-1-1-1-111111-1-111-1-1-1-11
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-11-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-11-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11-11-111111-1-1-1-1-1-111-1-1-111111-1-1-1-111-1-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111-1-11-1111111-1-1-1-11111-1-11-11-111-1-111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-111-1-111-111-1-1-1111111-1-1-11-1
χ17222222-1222-1-12-1222-1-122-1-1-12-12-1-12200-1-1-1-12-12-1-122-1-1-1-1-1-1022200-1-1-1-122002200220-10-122-1-100-1-100-1-1-1-1200000-1-1000000-100
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χ2822222-12-12-12222-12-12-12-12-1-1-12-12-100-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20-2-200-2-200111122001-2-20100011001111110200-1-1000000000-10
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χ3022222-12-12-12222-12-12-1-2-12-1-1-12-12-10022-1-1-1-11-2-21111-2-21111-2-2202200-2-200-1-1-1-1220012-201000-1-1001111-1-10-200-1-100000000010
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χ332222-1222-1222-122-1-1-122-1-122-1-1-1-122222-1-1-1-122-122-1-1-1-1-1-1-1-12002-1-12200-1-12200000020-120-1-1-1-1-1-1-1-1-1000000220000-1-1000000-1
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χ402222-1222-1222-122-1-1-12-2-1-122-1-1-1-12-2-2-2-2-1-1-1-1-2-21-2-211111111200211-2-20011-2-200000020-120-1-1-11111-1-10000002-20000-1-10000001
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χ1038-8-88-4-48-444-8-8484-42-4-4024-44-2-4-24400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-44-422202-22-2-22-2-2-20000-11-1100000006i−6i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-44-422202-22-2-22-2-2-20000-11-110000000−6i6i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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