Finite Group Databasebeta

← Group #10649042

Character table — Group #10649042

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111222222222222222222222444444888888888888888888888888888888888888888888888888888161616161616161616161616161616161616
order12336622244446666661212121212121212226666224444444666688888888121212121212121212121212121224242424242424242424242424242424448888121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ31111111111111111111111111111111111-111-1111111-1-111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-111-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111111-111-111111-1-111-1-111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-1-1-1-1-111
χ6111111111111111111111111111111111-111-11-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-11-1-1-111-1-1-1-111-1-1
χ7111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ9111111111111111111111111111-1-1-1-1-1-111-11111-1-1111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111
χ10111111111111111111111111111-1-1-1-1-1-111-111-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1
χ11111111111111111111111111111-1-1-1-1-1-11-1-11-111-1-111-1-11111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1-1-1
χ12111111111111111111111111111-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-11111-1-11111
χ13111111111111111111111111111-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-11111
χ14111111111111111111111111111-1-1-1-1-1-1-11-1-11-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1
χ15111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-111-11111-1-11111-1-1
χ16111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-111111-1-111-1-111
χ1711−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1+i3211111111−1−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+i32−1−i32−1+i32
χ1811−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i3211111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ1911−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i321-111-11111−1−i32−1+i321+i321−i3211-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−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+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321-1-1-11-1−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32
χ2011−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i321-111-1-1-1-1-1−1−i32−1+i321+i321−i32-1-1111111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32
χ2111−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32-111-1111111+i321−i32−1−i32−1+i32-1-111-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11-1-1-111+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32
χ2211−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32-111-11-1-1-1-11+i321−i32−1−i32−1+i3211-1-11111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-11-11+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32
χ2311−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32-1-11-1-111111+i321−i321+i321−i32-1-1-1-11111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2411−1−i32−1+i32−1−i32−1+i321111111−1−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+i3211−1−i32−1−i32−1+i32−1+i32-1-11-1-1-1-1-1-11+i321−i321+i321−i321111-1-1-1-1−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2511−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i3211-11111-1-1−1−i32−1+i32−1−i32−1+i3211-1-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11-111+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2611−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i3211-111-1-111−1−i32−1+i32−1−i32−1+i32-1-111-1-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-111-11+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ2711−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i321-1-11-111-1-1−1−i32−1+i321+i321−i321111-1-1111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ2811−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i321-1-11-1-1-111−1−i32−1+i321+i321−i32-1-1-1-111-1-11+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2911−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i32-11-1-1111-1-11+i321−i32−1−i32−1+i32-1-1-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-11-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3011−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i32-11-1-11-1-1111+i321−i32−1−i32−1+i32111111-1-11+i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−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+i321+i321−i321−i321-11-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ3111−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i32-1-1-1-1-111-1-11+i321−i321+i321−i32-1-11111-1-11+i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3211−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1111+i321−i321+i321−i3211-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-11-11−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ3311−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1−i3211111111−1+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−i32−1+i32−1−i32
χ3411−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i3211111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ3511−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i321-111-11111−1+i32−1−i321−i321+i3211-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+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−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321-1-1-11-1−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32
χ3611−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i321-111-1-1-1-1-1−1+i32−1−i321−i321+i32-1-1111111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32
χ3711−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32-111-1111111−i321+i32−1+i32−1−i32-1-111-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11-1-1-111−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32
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χ3911−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32-1-11-1-111111−i321+i321−i321+i32-1-1-1-11111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ4011−1+i32−1−i32−1+i32−1−i321111111−1+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−i3211−1+i32−1+i32−1−i32−1−i32-1-11-1-1-1-1-1-11−i321+i321−i321+i321111-1-1-1-1−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
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χ7722−1+i3−1−i3−1+i3−1−i3-22-2-22-221−i31+i3−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000200-2002-200−1+i3−1−i3002-2000000001−i31+i30000−1+i31−i3−1−i31+i30000−1+i31−i3−1−i31+i300000000000000000000000000
χ7822−1+i3−1−i3−1+i3−1−i3-22-2-22-221−i31+i3−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000200-200-2200−1+i3−1−i300-22000000001−i31+i300001−i3−1+i31+i3−1−i300001−i3−1+i31+i3−1−i300000000000000000000000000
χ7922−1+i3−1−i3−1+i3−1−i3-22-2-22-221−i31+i3−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000-2002002-2001−i31+i300-2200000000−1+i3−1−i30000−1+i31−i3−1−i31+i300001−i3−1+i31+i3−1−i300000000000000000000000000
χ8022−1+i3−1−i3−1+i3−1−i3-22-2-22-221−i31+i3−1+i31−i3−1−i31+i31−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i30000000-200200-22001−i31+i3002-200000000−1+i3−1−i300001−i3−1+i31+i3−1−i30000−1+i31−i3−1−i31+i300000000000000000000000000
χ8122−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31+i31−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000200-202-200−1+i3−1−i3002-2000000001−i31+i300−1+i31−i3−1−i31+i30000−1+i31−i3−1−i31+i3000000000000000000000000000000
χ8222−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31+i31−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000200-20-2200−1+i3−1−i300-22000000001−i31+i3001−i3−1+i31+i3−1−i300001−i3−1+i31+i3−1−i3000000000000000000000000000000
χ8322−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31+i31−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000-200202-2001−i31+i300-2200000000−1+i3−1−i300−1+i31−i3−1−i31+i300001−i3−1+i31+i3−1−i3000000000000000000000000000000
χ8422−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31+i31−i3−1+i31+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000-20020-22001−i31+i3002-200000000−1+i3−1−i3001−i3−1+i31+i3−1−i30000−1+i31−i3−1−i31+i3000000000000000000000000000000
χ854444444-4-44-4-4444-4-4-4-444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ864444444-4-4-444-444-4-4-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ87444444-44-44-44-4-4-44-44-444-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ88444444-4-4444-4-4-4-4-44-44444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ8944−2−2i3−2+2i3−2−2i3−2+2i34-4-44-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044−2−2i3−2+2i3−2−2i3−2+2i34-4-4-444-4−2−2i3−2+2i32+2i32+2i32−2i32−2i32+2i32−2i3−2−2i3−2−2i3−2+2i3−2+2i32+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144−2−2i3−2+2i3−2−2i3−2+2i3-44-44-44-42+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244−2−2i3−2+2i3−2−2i3−2+2i3-4-4444-4-42+2i32−2i32+2i3−2−2i32−2i3−2+2i3−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i32+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344−2+2i3−2−2i3−2+2i3−2−2i34-4-44-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444−2+2i3−2−2i3−2+2i3−2−2i34-4-4-444-4−2+2i3−2−2i32−2i32−2i32+2i32+2i32−2i32+2i3−2+2i3−2+2i3−2−2i3−2−2i32−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544−2+2i3−2−2i3−2+2i3−2−2i3-44-44-44-42−2i32+2i3−2+2i32−2i3−2−2i32+2i3−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644−2+2i3−2−2i3−2+2i3−2−2i3-4-4444-4-42−2i32+2i32−2i3−2+2i32+2i3−2−2i3−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i32−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-888-8-80000000000000000000004-44-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ988-888-8-8000000000000000000000-44-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ998-8−4−4i3−4+4i34+4i34−4i30000000000000000000004-4−2−2i32+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−4−4i3−4+4i34+4i34−4i3000000000000000000000-442+2i3−2−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−4+4i3−4−4i34−4i34+4i30000000000000000000004-4−2+2i32−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8−4+4i3−4−4i34−4i34+4i3000000000000000000000-442−2i3−2+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.