Finite Group Databasebeta

← Group #13172327

Character table — Group #13172327

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636363672727272108108
order122222333666666666666633366666666666666666666636666666662222246666666666666666666666666666666644446666121212124444121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-11-1
χ101111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-11-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1111-1-1-11-11-11
χ111111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-111-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1111-1-11-11
χ121111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-11-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111-111-11-1
χ131111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-111-1-11
χ141111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-1111-1-111-1
χ151111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11-111-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-1111-1-1-11-111-1
χ161111-1-111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11-11-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-11-11-1-11
χ1722222222-1-1-1-1-1-1-1222222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
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χ2022222222-1-1-1-1-1-1-1222222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-21111111111111111111111112222000000000000-1-1-1-1000000
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χ322222-2-222-1-1-11111222222-12-1-1-2-2-2-222-1-1-1-1-1-1111111112-1-2-2-1-1-11111-22-2200-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-122-2-2000000000000-1-111000000
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χ352222-2-22-1222-2-2-2-22-122-1-12-12-1-2-211-1-1222-1-1-1-2-2-2-21111-1-111-1-1-1111100-222-2000011-1-10000-2-222000000001111-1-1-1-100002-1-1-1-211100-220000001-100
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χ372222-2-2-12222-2-2-2-2-12-1-1222-1-1211-2-2-1-1-1-1-12221111-2-2-2-2-1-111-1-1-111112-2002-2-1-111000022-2-20000-1-1-1-11111000000000000-12-1-11-2112-2000000-110000
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χ412-2-222-2222-2-222-2-222-2-2-2-222222-22-2-2-22-2-22-2-222-2-222-2-2222-22-2-222-2-2000000000000000000000000000000000000002-22-20000000000002-22-2000000
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χ111888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-422222222222222222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).