Finite Group Databasebeta

← Group #11864616

Character table — Group #11864616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order1222223344446666666666121212123666666666888812121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424222222442444666666661212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-1-1-1-1-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1
χ91111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11-11-11-1
χ101111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1111-1-1-1-1-1-111-1-11111-11-11-11
χ111111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1111111-1-111-1-1-1-1-11-11-11
χ121111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111111-11-11-1
χ131111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1-11
χ141111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-11-111-1-1-1-111-1-11111-1-1-11-111-1
χ151111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-11-11-1-11111-1-111-1-1-1-111-11-111-1
χ161111-1-111-1-111111-1-1-1-1111-1-1-1-11-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-11
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χ212222222-1222222-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000-2-20-1-1-1-1000011110000000000
χ222222222-1222222-1-1-1-1-1-1-122222-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-20000022011110000-1-1-1-10000000000
χ23222222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222220020000-1-1-1-10000-1-1-1-1000000
χ24222222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-200-20000111100001111000000
χ25222222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100002222-200-20000-1-1110000-1-111000000
χ26222222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-22002000011-1-1000011-1-1000000
χ272222-2-22222-2-2222-2-2-2-222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000022-2-200
χ282222-2-22222-2-2222-2-2-2-222222222-2-222-2-2-2-220000-222-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000000000-2-22200
χ292222-2-22-1-2-22222-11111-1-12-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000002-20-1-1110000-1-1110000000000
χ302222-2-22-1-2-22222-11111-1-12-2-2-2-2-1-2-2-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000-22011-1-1000011-1-10000000000
χ312222-2-22-1-2-22222-11111-1-12-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000-220-1-111000011-1-10000000000
χ322222-2-22-1-2-22222-11111-1-12-2-2-2-2-1-2-2-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000002-2011-1-10000-1-1110000000000
χ332222-2-2-12-2-222-1-12-2-2-2-222-11111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-2200-20000-1-1-1-100001111000000
χ342222-2-2-12-2-222-1-12-2-2-2-222-11111-111-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222-2002000011110000-1-1-1-1000000
χ352222-2-2-12-2-222-1-12-2-2-2-222-11111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-2-20020000-1-111000011-1-1000000
χ362222-2-2-12-2-222-1-12-2-2-2-222-11111-111-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2-222200-2000011-1-10000-1-111000000
χ372-2-222-2222-22-2-2-2-222-2-22-2222-2-222-2-2-222-2-220000-22-2-2-2-222-2-222220000000000000000000000000000000000002-22-2000000002-20000002-200000000
χ382-2-222-2222-22-2-2-2-222-2-22-2222-2-222-2-2-222-2-220000-22-2-2-2-222-2-22222000000000000000000000000000000000000-22-2200000000-22000000-2200000000
χ392-2-222-222-22-22-2-2-222-2-22-22-2-22222-2-2-222-2-2200002-22222-2-222-2-2-2-2000000000000000000000000000000002-22-2000000002-22-2000000000000000000
χ402-2-222-222-22-22-2-2-222-2-22-22-2-22222-2-2-222-2-2200002-22222-2-222-2-2-2-200000000000000000000000000000000-22-2200000000-22-22000000000000000000
χ412-2-222-22-1-22-22-2-21-1-111-112-2-222-12-211-1-111-10000-11-12-1-111-1-11-211000033−3−33333−3−3−3−3000033−3−33333−3−3−3−32-22-200000000-11-1100003−33−30000000000
χ422-2-222-22-1-22-22-2-21-1-111-112-2-222-12-211-1-111-10000-11-12-1-111-1-11-211000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3-22-22000000001-11-10000−33−330000000000
χ432-2-222-22-1-22-22-2-21-1-111-112-2-222-12-211-1-111-10000-11-12-1-111-1-11-2110000−3−333−3−3−3−333330000−3−333−3−3−3−333332-22-200000000-11-110000−33−330000000000
χ442-2-222-22-1-22-22-2-21-1-111-112-2-222-12-211-1-111-10000-11-12-1-111-1-11-2110000−3−333−3−3−3−333330000−3−333−3−3−3−33333-22-22000000001-11-100003−33−30000000000
χ452-2-222-2-122-22-211-222-2-22-2-1-1-111-1-1111-1-111-10000-22-2111-1-1112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002-22-200000000-11−i3i30000-11−i3i3000000
χ462-2-222-2-122-22-211-222-2-22-2-1-1-111-1-1111-1-111-10000-22-2111-1-1112-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000-22-22000000001-1i3−i300001-1i3−i3000000
χ472-2-222-2-122-22-211-222-2-22-2-1-1-111-1-1111-1-111-10000-22-2111-1-1112-1-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002-22-200000000-11i3−i30000-11i3−i3000000
χ482-2-222-2-122-22-211-222-2-22-2-1-1-111-1-1111-1-111-10000-22-2111-1-1112-1-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000-22-22000000001-1−i3i300001-1−i3i3000000
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χ532-2-22-222-12-2-22-2-2111-1-1-11222-2-2-1-221111-1-1-10000-1-112-1-1-1-1111-211000033−3−33333−3−3−3−30000−3−333−3−3−3−333332-2-2200000000-111-100003−3−330000000000
χ542-2-22-222-12-2-22-2-2111-1-1-11222-2-2-1-221111-1-1-10000-1-112-1-1-1-1111-211000033−3−33333−3−3−3−30000−3−333−3−3−3−33333-222-2000000001-1-110000−333−30000000000
χ552-2-22-222-12-2-22-2-2111-1-1-11222-2-2-1-221111-1-1-10000-1-112-1-1-1-1111-2110000−3−333−3−3−3−33333000033−3−33333−3−3−3−32-2-2200000000-111-10000−333−30000000000
χ562-2-22-222-12-2-22-2-2111-1-1-11222-2-2-1-221111-1-1-10000-1-112-1-1-1-1111-2110000−3−333−3−3−3−33333000033−3−33333−3−3−3−3-222-2000000001-1-1100003−3−330000000000
χ572-2-22-22-12-222-211-2-2-2222-2-111-1-1-11-11111-1-1-10000-2-2211111-1-12-1-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002-2-2200000000-11−i3i300001-1i3−i3000000
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χ704444-4-4-2-244-4-4-2-2-22222-2-2-2-2-2-2-212211-1-1-1-1100002-2-22-1-1111122-1-100000000−3i−3i3i3i3i3i−3i−3i000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-22222-2-2-2222212211-1-1-1-1144-4-4-222-211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.