Finite Group Databasebeta

← Group #11864370

Character table — Group #11864370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
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order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422222244444466666612121212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1
χ91111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-11111-1-111-1-1-1-111-1-11-11-11-1
χ101111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1-1-1-1111111-1-1-11-11-11
χ111111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-1-1-1-1-111-11-11-11
χ121111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111-1-11111-1-1111-11-11-1
χ131111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-111111-1-1-1-111-1-1-1-1111-11-1-11
χ141111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-11-1-111-1-111-1-111-1-111-11-111-1
χ151111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-111-111-1-111-1-111-1-111-1-1-11-111-1
χ161111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-11-1-1-1-1-11111-1-11111-1-11-11-1-11
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χ202222222-12222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-20011110000001111000000
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χ24222222-122222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2001100001111110000000000
χ25222222-122222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100002222-2-200-1-100001111-1-10000000000
χ26222222-122222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-22200110000-1-1-1-1110000000000
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χ322222-2-22-1-2-222-1-11111222-1-2-2-2-2-1-2-2-1-11111-1-2-2222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000002-20011-1-1000000-1-111000000
χ332222-2-2-12-2-22222-2-2-2-2-1-1-121111-111-1-11111-122-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-22-200-1-10000-1-111110000000000
χ342222-2-2-12-2-22222-2-2-2-2-1-1-121111-111-1-11111-122-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222-220011000011-1-1-1-10000000000
χ352222-2-2-12-2-22222-2-2-2-2-1-1-121111-111-1-11111-1-2-222-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-2-2200-1-1000011-1-1110000000000
χ362222-2-2-12-2-22222-2-2-2-2-1-1-121111-111-1-11111-1-2-222-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2222-200110000-1-111-1-10000000000
χ372-2-222-2222-22-2-2-222-2-2-2-22222-2-222-2-2-222-2-220000-2-22-2-2-222-2-22222000000000000000000000000000000002-22-200000000002-22-20000000000000000
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χ402-2-222-222-22-22-2-222-2-2-2-222-2-22222-2-2-222-2-22000022-2222-2-222-2-2-2-2000000000000000000000000000000000000-22-220000-2200000000-220000000000
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χ422-2-222-22-12-22-211-1-111-2-22-122-2-2-12-211-1-111-10000-21-1111-1-1112-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22-2200000000001-11-1000000i3−i3i3−i3000000
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χ462-2-222-2-12-22-22-2-222-2-211-1211-1-1-1-1111-1-111-10000-12-22-1-111-1-11-21133−3−3000033−3−333−3−333−3−3000033−3−333−3−30000-22-2200001-10000−33−331-10000000000
χ472-2-222-2-12-22-22-2-222-2-211-1211-1-1-1-1111-1-111-10000-12-22-1-111-1-11-211−3−3330000−3−333−3−333−3−3330000−3−333−3−33300002-22-20000-110000−33−33-110000000000
χ482-2-222-2-12-22-22-2-222-2-211-1211-1-1-1-1111-1-111-10000-12-22-1-111-1-11-211−3−3330000−3−333−3−333−3−3330000−3−333−3−3330000-22-2200001-100003−33−31-10000000000
χ492-2-22-22222-2-22-2-2-2-222-2-22222-2-22-22-2-2-2-22220000222-22222-2-2-2-2-2-20000000000000000000000000000000000002-2-2200002-200000000-220000000000
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χ714444-4-4-2-2-4-444-2-22222-2-2-2-2222212211-1-1-1-1144-4-4-2-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.