Finite Group Databasebeta

← Group #13170661

Character table — Group #13170661

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order124423334666121212121212333666666661212121212121212121212366666121212121212224466668812121212242424242424242424242424242424242244661212666666121212121212224461266121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-11-11-1-1-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11-11-1-1-11-1111
χ51111111111111111111111111111111111111111111111111111-11-11-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-11-11-1-1-11-11-1-1
χ61111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1111-11-1-1-11-11-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-111-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11-1-11-111-1-111-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-111-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1111111-1-1-1-1-1-1-111-1-11-111-1-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-11-1-1111-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-1-11-1-11111-1-11-111-1-1-11
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-11-1-1111-1-1-11-1-111-1-1-1-1-1-1-1-111111111-11-11-1-1111-111-1-1-11-1-111-1-1111-1-1-1111-1
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-111-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-1111-111-1-1-1-1111-1-1-111-11
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-111-1-1-111-1111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-11-1-1111-111-1-111-1-11-111-1-11-1
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-111-1-1-1-11-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1111111-111-1-11-111-11-1
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χ172222222-1222-12222-1-12-1-122-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100-1-1-1-100000000000000002222-1-1-1-122-1-1-1-122-1-1-1-10000-1-1000000
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χ2522222-1222-122-1-12222-1-12-122-1-1-1-122-1-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-120202200222200-1-122-1-1-1-1-1-122-1-1-1-100000000-10-1-100-10-1-100202000-10-1000
χ2622222-1222-122-1-12222-1-12-122-1-1-1-122-1-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-120202200-2-2220011-2-2111111-2-2111100000000-10-1-100-10-1-100-20-2000101000
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χ2822222-1222-122-1-12222-1-12-122-1-1-1-122-1-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-1-20-20-2-200-2-2-2-20011-2-2111111-2-2111100000000101100101100202000-10-1000
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χ3722-2-2222-1-222-1-2-2-2-2112-1-122-1222-1-11-2-21111-2-2-2-2-1-1-1-1-1-11111110000−i3i3−i3i300i3−i3i3−i3000000000000000022-2-2-1-11100−i3i3−i3i300i3−i3i3−i30000-11000000
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χ3922-2-2222-1-222-1-2-2-2-2112-1-122-1222-1-11-2-21111-2-2-2-2-1-1-1-1-1-11111110000i3−i3−i3i300−i3i3i3−i30000000000000000-2-22211-1-100i3−i3−i3i300−i3i3i3−i300001-1000000
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χ4222-2-2-222-1222-1-2-2-2-2112-1-1-2-21-2-22-1-1-1-2-211112222-11111-1-1-1-1-1112-2-22-1-1110011-1-10000000000000000-22-2211-1-12-2-1-111-2211-1-10000-11000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.