Finite Group Databasebeta

← Group #13159457

Character table — Group #13159457

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444448888888888888888888888888888888888812121212121212121212121212121212121212122424242424242424363636363636363654547272108216
order122233333446666666666666663333666666666666121212121212121212124121212121212121212121212121212121212121212121212121212121212121212122288242424242424242424242424242424246666666644882424242444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
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χ11222222-1-1-12222-1-1-12-1-1-122-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000
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χ1114-4-44-2-24-2-24-422-422-24-2-222-422-21-211-12-1-11-211-12-1-12-422-2-24-2-220−2323000000001-1-221-11-13−33−3−2323−23233−33−33−33−3000000000000000000000000000000000000000000
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χ12288-8-8-48-4-4-400-48-4-4-4-84444-84444-4222-42224-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12588-8-8-4-4-4-4800-4-4-4-48444-84444-84222-4222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-48-4-4-4004-8444-8444-48-4-4-44-42224-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1298-88-8-4-4-4-48004444-8444-8-4-4-4-484222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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