Finite Group Databasebeta

← Group #11782606

Character table — Group #11782606

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444418181818181818181818181818181818484848484848484848484848
order1222334444446666668888888836661212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888888888888844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ922222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000
χ11222222-2-222-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002222-2-2-2-2000000000000
χ12222222-2-222-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-22222000000000000
χ13222222-2-2-2-222222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-200000000000000000000
χ14222222-2-2-2-222222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2222200000000000000000000
χ1522222-122222222-1-12-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000-1-1-1-1
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χ1822222-122222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000-22000011-1-1
χ1922222-122-2-2-2-222-1-12-12222-2-2-2-2-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000−i3i3−i3i3
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χ272222-1222-2-2-2-2-1-122-122222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000−i3i3−i3i30000
χ282222-1222-2-2-2-2-1-122-122222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000i3−i3i3−i30000
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χ964-44-4-2-200-44002-22-22222−2222−22−2222−22221-11-12-22-20000-1-111−3i3i−3i3i00003i−3i−3i3i−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−22−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000
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χ1074-4-44-2-24-400002222-2-200004-4-441-1-11000000003i−3i−3i3i−3i3i3i−3i-22-2211-1-100000000−3i3i3i−3i3i−3i−3i3i-222-2-222-211-1-1-1-1110000000000000000000000000000
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χ1114-4-44-2-2-4400002222-2-24-4-4400001-1-11000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-111-222-2-222-211-1-1-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ1124-4-44-2-2-4400002222-2-24-4-4400001-1-1100000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-111-222-2-222-211-1-1-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ1134-4-44-2-2-4400002222-2-2-444-400001-1-11000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-1112-2-222-2-22-1-11111-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ1144-4-44-2-2-4400002222-2-2-444-400001-1-1100000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-1112-2-222-2-22-1-11111-1-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000

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