Finite Group Databasebeta

← Group #13172325

Character table — Group #13172325

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order12222233366666666633366666666666666666664444121212121212121236666666666622446666121212121212121212121212121212126666661212121212122244446666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-1111111111-111-1-11-111-1-11-11-1-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-11111111111-11-1-111-11-1-111-11-11-1-1-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-1-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-1-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-111-111-1-1-1-11111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1111-1-111-1-1-1-1111111-1-1-1-11-111-1-1-11-1-11111-1-1-111111-1-1-1-1-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-11111-1-111-1-11111-1-1-1-1-11-1-1111-111-1-1-1-111-11-1-1-1-11111-1-111-11
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-111-11-1-1-11111-1-111-1-11-1
χ131111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-11
χ141111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11-1-1111-1-1-1-111-1-111-1-1-1-111111-111-1-1-11-1-111-1-111-11-1-1-1-11111-1-1111-1
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χ161111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111111-1-111-111-1-1-1-11111-1-1-11
χ1722222222-1222-1-1222-1-12-12222-1-1-1-1-1-1-1-122-1-12-1-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12020-1-100-1-122-1-100-1-1-1-1-1-1-1-120-1-10020-1-100202000-1-100-1-100000000
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χ432-22-22-222-1-2-2-2112-22-1-12-12-22-2-1111-1-111-2-2112-1-12-22-222-2-2-1-111-12-2-11-111-1-1110000−i3i300-112-2−i3i300-1-111-1-11100−i3i30000−i3i300000000−i3i300−i3i300000000
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Here i is the imaginary unit (i² = −1).