Finite Group Databasebeta

← Group #11782425

Character table — Group #11782425

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444418181818181818181818181818181818484848484848484848484848
order12223344444466666688888888366612121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424248888888888888888244466121212121212
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
χ11222222-2-222-2-222222200000000222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000002222-2-2-2-2000000000000
χ12222222-2-222-2-222222200000000222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-22222000000000000
χ13222222-2-2-2-222222222000000002222-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-200000000000000000000
χ14222222-2-2-2-222222222000000002222-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2222200000000000000000000
χ1522222-12222222-1-122-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-10000
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χ1722222-12222222-1-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000002-200-1-1110000
χ1822222-12222222-1-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000-220011-1-10000
χ1922222-122-2-2-2-22-1-122-12222-2-2-2-2-1-1-1-11111-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000−i3i3−i3i30000
χ2022222-122-2-2-2-22-1-122-12222-2-2-2-2-1-1-1-11111-2-2-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000i3−i3i3−i30000
χ2122222-122-2-2-2-22-1-122-1-2-2-2-22222-1-1-1-11111-2-2-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−i3i3i3−i30000
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χ252222-12222222-122-1-12-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000002-20000-1-111
χ262222-12222222-122-1-12-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000-22000011-1-1
χ272222-1222-2-2-2-2-122-1-122222-2-2-2-2-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000−i3i3−i3i3
χ282222-1222-2-2-2-2-122-1-122222-2-2-2-2-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000i3−i3i3−i3
χ292222-1222-2-2-2-2-122-1-12-2-2-2-22222-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000−i3i3i3−i3
χ302222-1222-2-2-2-2-122-1-12-2-2-2-22222-1-1-1-1-2-2-2-2111111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000i3−i3−i3i3
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χ3522-2-2220000-22-22-22-2-2−i2−i2i2i2i2i2−i2−i222-2-200-2200-220000-2-22200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i222-2-20000−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-2-2220000-22-22-22-2-2−i2−i2i2i2i2i2−i2−i222-2-200-2200-220000-2-22200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2-2220000i2i2−i2−i2−i2−i2i2i2000000000000
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χ1074-4-44-2-24-40000-22222-200004-4-441-1-11000000003i−3i−3i3i−3i3i3i−3i-22-2211-1-1000000003i−3i−3i3i−3i3i3i−3i-222-2-222-211-1-1-1-1110000000000000000000000000000
χ1084-4-44-2-24-40000-22222-200004-4-441-1-1100000000−3i3i3i−3i3i−3i−3i3i-22-2211-1-100000000−3i3i3i−3i3i−3i−3i3i-222-2-222-211-1-1-1-1110000000000000000000000000000
χ1094-4-44-2-24-40000-22222-20000-444-41-1-11000000003i−3i−3i3i−3i3i3i−3i-22-2211-1-100000000−3i3i3i−3i3i−3i−3i3i2-2-222-2-22-1-11111-1-10000000000000000000000000000
χ1104-4-44-2-24-40000-22222-20000-444-41-1-1100000000−3i3i3i−3i3i−3i−3i3i-22-2211-1-1000000003i−3i−3i3i−3i3i3i−3i2-2-222-2-22-1-11111-1-10000000000000000000000000000
χ1114-4-44-2-2-440000-22222-24-4-4400001-1-11000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-111-222-2-222-211-1-1-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ1124-4-44-2-2-440000-22222-24-4-4400001-1-1100000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-111-222-2-222-211-1-1-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ1134-4-44-2-2-440000-22222-2-444-400001-1-11000000003i−3i−3i3i3i−3i−3i3i2-22-2-1-1112-2-222-2-22-1-11111-1-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ1144-4-44-2-2-440000-22222-2-444-400001-1-1100000000−3i3i3i−3i−3i3i3i−3i2-22-2-1-1112-2-222-2-22-1-11111-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000

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