Finite Group Databasebeta

← Group #13172083

Character table — Group #13172083

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222223336666666663336666666666666666666222236666666666644444444666666666666666612121212121212124412121212121212121212121212121212224412124444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-11-11
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-11111-11-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111111-11-1
χ91111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11-1-1-1-1111-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-11-111-1-111-1-11-1-11-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11-1-1-1-1111-1-1-1-11111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-1-111-111-1-1-111-1-1-111-1
χ111111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-11111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-111
χ131111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-111111-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111111-11-111-1-111-1-1-111-1-1-1-1-111-111-1
χ141111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11111-11-11-1-111-1-1111-1-11-1-1-1-1111-1-11
χ151111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-111
χ161111-1-1111111111111111-1-1-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-1-11111-1-111-1-11111-1-111-1-1
χ1722222222-122-1-1222-122-1-12222-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-10000002222-1-122-1-1-1-1-1-1-1-1-1-10000222200000000-1-10000-1-1-1-102020000000-10-1
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χ232222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-122-1-1-1-1-1-1-10000220011-2-211-2-21111111122220000000000-1-100-1-1-1-10000-20-200000001010
χ242222222-12-1-12222-122-12-122-1-122-12-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-20011-2-211-2-211111111-2-2-2-200000000001100111100002020000000-10-10
χ25222222-1222222-1-122-1-1-12-1-12222-1-12222222-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
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χ322222-2-222-122-1-1222-122-1-1-2-2-2-2112-1-1-1-1111122-1-1-2-222-1-2-211-1-1-11111000000-22-2-21122-1-11111-1-1-1-10000-2-222000000001-1000011-1-10-202000000010-1
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χ362222-2-22-12-1-12222-122-12-1-2-211-2-2-12-1-1-11111-1-122-2-222-111-2-2-1-1-111110000-220011-2-2-1-1221111-1-1-1-1-2-22200000000001-10011-1-1000020-20000000-1010
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χ1158-88-800-48-4-884-44-4-844-42-40000004-24-4400004-4-22000020000-22-200000000000000000000000000000000000000000000000000000000000000000000
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χ1198-8-888-8-4-4-4444444-4-4-4222-44-44-4422-2-2222-2-2-2-2-2-20000-12-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).