Finite Group Databasebeta

← Group #13170591

Character table — Group #13170591

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222222444444444444444444444446666668888888888881212121212121212121212121212121212121212121212181818182424242424242424242424242424363636363636363672727272108108
order12233344666661212333666666666121212121212121212121288242424243666612121212121212448882424242424242424242424242424242424242244121212121212121224242424242422246612126661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111
χ511111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11-1-11-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111-1-1-11-11-111-1-11-1-11-1-1-111-1-1111111-1-1-1-1-1-11-11-11-11-111-1-1111-1-1-11-11-11-11-111-1-1-11
χ1011-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111-1-1-11-11-111-1-11-1-1-11-1-1-1-111111111-1-1-1-1-1-1-11-111-11-111-1-1-1-1-11111-1-11-11-11-11-111-1
χ1111-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111-1-1-11-11-111-1-1-11-11-1-1-111-1-1111111-1-1-1-1-1-11-11-1-11-11-1-111111-1-1-1-11-111-11-1-1-1111-1
χ1211-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-11111111111111-1-1-11-11-111-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-11-11-11-11-1-111-1-1-1111-111-1-11-111-11-1-11
χ1311-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-11-111-1-11-111-11111-1-1-1-1-1-1-1-1111111-11-111-11-111-1-1111-1-1-1-111-1-11-111-11-11-1
χ1411-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-11-111-1-11-11-1111-1-111-1-1-1-1-1-11111111-11-11-11-111-1-1-1-1-1111-11-111-11-1-1-111-11
χ1511-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-11-111-1-1-1111-11111-1-1-1-1-1-1-1-1111111-11-11-11-11-1-111111-1-1-11-1-11-11-11-11-11-11
χ1611-1111-11-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-11-111-1-1-111-1111-1-111-1-1-1-1-1-11111111-11-1-11-11-1-111-1-1-11111-11-11-11-111-1-11-1
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χ29222-12222222-12-1-1-1-12-12-1-122-1-122-12-1-122-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-100-22211-1-1-1-1-2-21111-2-21111-2-2-2-2000000002-1-12-1-100001111000000
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χ34222-122-2-2222-1211-1-12-12-1-122-1-12-21-211-2-2111100−3−333-1-1-1-1-11-2-2111100000−33−33−3300−3−33300−3−3332-2-22000000000−330−330000-111-1000000
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χ3822-222-1-2211-122222-1-1-2-211112-1-11-2-211-1222-1-1222222-1-211-1-2-11-1-111-22-200-2-20000-1-1-1-1-1-111111100001-1-2211-1-1000000-2200000001-1000
χ3922-222-1-2211-122222-1-1-2-211112-1-11-2-211-1222-1-1-2-2-2-2-2-2-1-211-1-2-11-1-1112-2200220000111111-1-1-1-1-1-10000-112-2-1-111000000-2200000001-1000
χ4022-222-1-2211-122222-1-1-2-211112-1-11-2-211-1222-1-1-2-2-2-2-2-2-1-211-1-2-11-1-111-22200220000111111-1-1-1-1-1-100001-1-2211-1-10000002-20000000-11000
χ4122-22-12-22-2-222-122-12-1-21-2-211-12-1-2-21-2-22-1-1-122000000-1111-11-11-1-1112-202-20022-2-200000000000000002-2-11-1-111-1-1-1111002-20000-100100
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χ4322-22-12-22-2-222-122-12-1-21-2-211-12-1-2-21-2-22-1-1-122000000-1111-11-11-1-111-2202-20022-2-20000000000000000-221-111-1-1-1-1-111100-220000100-100
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.