Finite Group Databasebeta

← Group #13049340

Character table — Group #13049340

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size11133333333333333333333333999999999999999999999999999999999999999916161616161648484848484848484848484848484848
order1332222233666666666699999966666666661818181818181818181818181818181818181818181818181818181818189999993333339999999999
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32
χ511111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32111
χ611111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ711111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32
χ811111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ911111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32111
χ1011111111−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ1111111111−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32
χ1211111111−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ1311111111−1+i32−1−i321111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32111111−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321
χ1411111111−1+i32−1−i321111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i3211−1+i32−1−i321−1+i321−1+i32−1−i32
χ1511111111−1+i32−1−i321111111111−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32
χ1611111111−1+i32−1−i321111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32
χ1711111111−1+i32−1−i321111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1+i32−1−i321
χ1811111111−1+i32−1−i321111111111−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−1+i321−1+i32−1−i32−1−i3211−1+i32−1−i32
χ1911111111−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ2011111111−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ2111111111−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32
χ2211111111−1−i32−1+i321111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32
χ2311111111−1−i32−1+i321111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321−1−i321−1−i32−1+i32−1+i3211−1−i32−1+i32
χ2411111111−1−i32−1+i321111111111−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1+i321−1−i321−1−i32−1−i32−1+i321
χ2511111111−1−i32−1+i321111111111−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32111111−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321
χ2611111111−1−i32−1+i321111111111−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1+i321−1−i32
χ2711111111−1−i32−1+i321111111111−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i3211−1−i32−1+i321−1−i321−1−i32−1+i32
χ283333-1-1-1-13333-1-1-1-1-1-1-1-13333333-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-13-1-1-1-10000000000000000000000
χ293333-1-1-1-13333-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323-1-1-1-13-1-1-1-1−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i320000000000000000000000
χ303333-1-1-1-13333-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323-1-1-1-13-1-1-1-1−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i32−3+3i321−i321−i321−i321−i320000000000000000000000
χ313333-1-1-1-1−3+3i32−3−3i3233-1-1-1-1-1-1-1-13−3+3i32−3−3i323−3+3i32−3−3i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i323-1-1-1-1−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i320000000000000000000000
χ323333-1-1-1-1−3+3i32−3−3i3233-1-1-1-1-1-1-1-1−3+3i32−3−3i323−3−3i323−3+3i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i32−3+3i321−i321−i321−i321−i32−3−3i321+i321+i321+i321+i323-1-1-1-1−3−3i321+i321+i321+i321+i323-1-1-1-1−3+3i321−i321−i321−i321−i320000000000000000000000
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χ819−9+9i32−9−9i32-3-39-3-3003−3i323+3i323−3i323+3i32−9+9i32−9−9i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000
χ829−9+9i32−9−9i32-3-3-39-3003−3i323+3i323−3i323+3i323−3i323+3i32−9+9i32−9−9i323−3i323+3i3200000000000000000000000000000000000000000000000000000000000000000000
χ839−9+9i32−9−9i32-3-3-3-39003−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−9+9i32−9−9i3200000000000000000000000000000000000000000000000000000000000000000000
χ849−9−9i32−9+9i329-3-3-3-300−9−9i32−9+9i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000000000000000000000000000000000000000000000000000000000000000
χ859−9−9i32−9+9i32-39-3-3-3003+3i323−3i32−9−9i32−9+9i323+3i323−3i323+3i323−3i323+3i323−3i3200000000000000000000000000000000000000000000000000000000000000000000
χ869−9−9i32−9+9i32-3-39-3-3003+3i323−3i323+3i323−3i32−9−9i32−9+9i323+3i323−3i323+3i323−3i3200000000000000000000000000000000000000000000000000000000000000000000
χ879−9−9i32−9+9i32-3-3-39-3003+3i323−3i323+3i323−3i323+3i323−3i32−9−9i32−9+9i323+3i323−3i3200000000000000000000000000000000000000000000000000000000000000000000
χ889−9−9i32−9+9i32-3-3-3-39003+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i32−9−9i32−9+9i3200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.