Finite Group Databasebeta

← Group #11788187

Character table — Group #11788187

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444224433666666121212121212121266661212121222224444444444444444444424446688881212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-111-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-11111-1-11111-1-1-1-1
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χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1−ii−ii-1-11111−i−iii−i−iii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-111−ii−ii11-1-1-1-1−i−iii−i−iii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-11-111i−i−ii-1-111-1-1ii−i−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1−iii−i11-1-111−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-11-111−iii−i-1-111-1-1−i−iiiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1i−i−ii11-1-111ii−i−i−i−iii
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χ544444-4-4-4-444-4-41-2111-2-2-22222-1-1-1-111-2-2-1-122000000000000000000000000000000−2i2i−2i2i000000ii−i−iii−i−i
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χ624-44-44i−4i4i−4i4-44i−4i1-2-11-12-22−2i2i−2i2ii−ii−i1-1-22i−i−2i2i0000000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.