Finite Group Databasebeta

← Group #72239408

Character table — Group #72239408

Order 12288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11334466666666121212121212121224242424242424242424242424242424242424242424242424242424242424242424242448484848484848484848484848484848969696969696969619219219219219219219219210241024102410241024102410241024
order122244444444442244444444444444444444444444444444444444444488888888888888882444444488888888336612121212
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χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
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χ633333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133333333-1-1-1-1-1-1-1-100000000
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χ19333333-1-1-1-1-1-1-1-1-1-133-1-1-1-13-1-1-1−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i−1−2i1111111111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111113-13-1-1-1-1-1−1−2i−1+2i11−1+2i−1−2i1100000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.