Finite Group Databasebeta

← Group #13170650

Character table — Group #13170650

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222222244444444444466668888812121212121212121212121212121212121212242424363636363636367210811222222222444444444444666688888121212121212121212121212121212121212122424243636363636363672108
order12333466612123336661212121212122466361212122666668121212122424242424242424666226682424642266646661212666666121212121212246666121212266666812121212242424242424242466622668242464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111-11-1-1111111111111111-1-1-1-1-1-1-1111-1-111111111111111111111111111111111-11-1-1111111111111111-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111111111111111111111111111-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ511111111111111111111111-1-1-1-1111111-111-1-11-1-1-1-111111111111-11-1-1-1-1-11-111111111111111111111111-1-1-1-1111111-111-1-11-1-1-1-111111111111-11-1-1-1-1-11-1
χ611111111111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1111111111111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11
χ711111111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111111111-1-1-11-111-1-1-1-1111111111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111111111-1-1-11-111-1-1-1-11
χ811111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ2322-12222-12-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-100-1-12-12-1-1-1-122-1-1-1-100000002-1-10022-12222-12-1-1-1-12-12-12-1-12-1-12222-1-12-1-10-100-1-12-12-1-1-1-122-1-1-1-100000002-1-100
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χ2522-12222-12-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101001121-211-1-122-1-1-1-10000000-2110022-12222-12-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-101001121-211-1-122-1-1-1-10000000-21100
χ2622-12222-12-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-1010011-21-21111-2-2111100000002-1-10022-12222-12-1-1-1-12-12-12-1-12-1-1-2-2-2-2-1-12-1-1010011-21-21111-2-2111100000002-1-100
χ2722-122-22-1211-1-12-12-1-211-2112-222-1-1-2110-100-1-101-2113−30033−3−3000000003−30022-122-22-1211-1-12-12-1-211-2112-222-1-1-2110-100-1-101-2113−30033−3−3000000003−300
χ2822-122-22-1211-1-12-12-1-211-2112-222-1-1-2110-100-1-101-211−3300−3−33300000000−330022-122-22-1211-1-12-12-1-211-2112-222-1-1-2110-100-1-101-211−3300−3−33300000000−3300
χ2922-122-22-1211-1-12-12-1-211-211-22-2-2-1-1-2110100110-12-1-13−30033−3−300000000−330022-122-22-1211-1-12-12-1-211-211-22-2-2-1-1-2110100110-12-1-13−30033−3−300000000−3300
χ3022-122-22-1211-1-12-12-1-211-211-22-2-2-1-1-2110100110-12-1-1−3300−3−333000000003−30022-122-22-1211-1-12-12-1-211-211-22-2-2-1-1-2110100110-12-1-1−3300−3−333000000003−300
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χ3644-24-244-2-2-2-2-21-2-2-21-2114-2-244-2-211-2110-200110-2-2110000000000000000000044-24-244-2-2-2-2-21-2-2-21-2114-2-244-2-211-2110-200110-2-21100000000000000000000
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χ444-44440-4-4-400444-4-4-400000000004-400000000000000000000000000000000004-44440-4-4-400444-4-4-400000000004-40000000000000000000000000000000000
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χ494-4-2440-42-423−23-2-242-42023−23023−230000-22023−2300000000000000000000000000000004-4-2440-42-423−23-2-242-42023−23023−230000-22023−230000000000000000000000000000000
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χ514-4-24-20-42223−23-21-222-10−33023−2300−2i32i31-10−330000i3−i30003i−3i000000000000000000004-4-24-20-42223−23-21-222-10−33023−2300−2i32i31-10−330000i3−i30003i−3i00000000000000000000
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χ6611111111111111111111111111111111-11-1-1111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111
χ6711111111111111111111111111111111-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-1-1111111111111-111111-1-1
χ6811111111111111111111111-1-1-1-1111111-111-1-11-1-1-1-111111111111-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-11-111111-11
χ6911111111111111111111111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111111111111-1-1-11111-1-1-11-1
χ7011111111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111111111-1-1-11-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-1111-11-1-11111-1
χ7111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11
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χ1268-8-4-4-40444−4343222-2-2-2023−23023−230000-110−330000000000000000000000000000000-884440-4-4-443−43-2-2-22220−23230−232300001-103−30000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.