Finite Group Databasebeta

← Group #13168513

Character table — Group #13168513

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666622443666121212121212121212121212122444666666121212121212444466666121212121212121212121212122444121212121212224461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-111-1-11-111111-1-11111-1-111-1-111-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-11111-1-11111111-11-11111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-1-11-111-1-1-1-1-1-11-1-1-111-1-1-1-111111-1-1
χ511111111111111111111111111111-1-1111111111111111111111-11-1-1-1-111111111-1-1111-1-111-111-11-1-11111111-1-1-111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-11-1-1-1-1-1-1111111-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-11-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-11-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-111-1-1-11-1-1-1-1-11111-1-11-11-1-1-1111111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-11-11-1-1-1-1-1-11111-11-1-1-1-1-1-111-1-1111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1111111-111-1-1-111-11-1-111-1-111-1-1-1111-1-111-1-111-11-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-111111-1-1111-1-11-111-1-111-1-1-1-1-1111-1-11111-1-1-11-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11-1111111-1-111-11-1-1-1-1-1-1-1-111111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111-1-11-1-1111-111111-1-1-1-1111-11-1-1-11111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111111-1-111-111-11111-1-111-1-1-1-11
χ17222222-122-12-12-122-12-12-12-1-12-12-1-10022-1-1-1-12-1222-1-1-1-1-1-1-1-122020000-1-1-1-122220022200-1-10-1-10200-1-1-1-1-1-12000-1-100000000-100
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χ20222222-122-12-12-122-12-12-12-1-12-12-1-100-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-20-200001111-2-2-2-20022-200110110-2001111112000-1-100000000-100
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χ362222-122-12222-12-12-1-122-1-12-1-12-12-1-2-2-2-2-1-1-1-122-1-1-1-1-122-1-1-1-100-2-211-2-200-2-21100000001100-20-21111001111002200-1-10000000-10
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χ1038-8-88-4-484-484-8-4-844-42-404-24-42-4-24400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4-444-44442220-2-2-2222-2-2-20000-111-1000006-600-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4-444-44442220-2-2-2222-2-2-20000-111-100000-66003-3-330000000000000000000000000000000000000000000000000000000

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