Finite Group Databasebeta

← Group #11792775

Character table — Group #11792775

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444448888121212121212121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000−2i2i
χ112222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ122222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ132222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2111111111111111111111111000022-2-200000000-1-1-1-111110000
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χ17222222-122222-1-1-1-1-1-1222-12222-122-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-1-12-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122-2-20000-1-1-1-11111000000000000
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χ272222-2-2-122-2-22-1-11111222-1-2-2-2-2-1-2-2-1-11111-122-2-22-111-1-111112-1-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i3000000000000
χ282222-2-2-122-2-22-1-11111222-1-2-2-2-2-1-2-2-1-11111-122-2-22-111-1-111112-1-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i3000000000000
χ292222-2-2-122-2-22-1-11111222-1-2-2-2-2-1-2-2-1-11111-1-2-2222-111-1-111112-1-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3000000000000
χ302222-2-2-122-2-22-1-11111222-1-2-2-2-2-1-2-2-1-11111-1-2-2222-111-1-111112-1-1-11111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3000000000000
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χ382-2-222-22-1-2-222-2-222-2-211-1211-1-1-1-1111-1-111-10000-12-22-1-111-1-11-21100000000−3−333−3−333−3−3−3−33333−3−3−3−333330000-2200000000001-11-13−33−30000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.