Finite Group Databasebeta

← Group #13152234

Character table — Group #13152234

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111222222222333344444466666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424242424484848484848484848484848
order12336648812122424242433664412121212246666666612121212121212121212242424242233333366666666666666666666668121212122424242424242424121212121212242424242424242424242424121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+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−i32
χ61111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+i32
χ7111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−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+i321−1−i32−1+i321111−1−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+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ8111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−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+i321−1+i321−1−i321111−1−i32−1−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−i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ9111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i321−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ10111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211+i321+i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32
χ11111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1+i321−1+i321−1−i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i3211+i321+i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32
χ12111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1−1+i321−1−i32−1−i32−1+i321-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i32111+i321+i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1
χ13111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+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−i321−1+i32−1−i321111−1+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−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ14111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i321−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ15111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+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−i321−1−i321−1+i321111−1+i32−1+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+i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ16111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−i321−i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32
χ17111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1−1−i321−1+i32−1+i32−1−i321-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i32111−i321−i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32111+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1
χ18111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1−i321−1−i321−1+i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i3211−i321−i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32
χ191111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-11-111111111-1-1111-1-1-1111-1-1-1111111-11-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ201111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-11-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1111-1-1-1111-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ211111111-1-111-1-1-1-111111-111-1-111111111111111111111-1-1-1-11-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1111-1-1-1111-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ221111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-1-11111111-1-111-1-1-1111-1-1-1111111111-1-11-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ231111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-1-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-1-1-1111-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11-11-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ241111111-1-111-1-1-1-11111-11-1-11111111111111111111111-1-1-1-1-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-1-1-1111-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11-11-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ251111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11−1−i32−1+i321−1−i32−1+i3211-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1−1−i321+i32−1+i321−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321-1−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32
χ261111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i321−1+i321−1−i3211-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i32-1−1−i321+i32−1+i321−i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1−i321+i32−1+i321−i321-1−1+i321−i321-1−1−i321+i32
χ271111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321-111-1-11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1+i321−1−i32−1−i32−1+i32111-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32-1-11+i321+i321+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1−1+i321−i321-1−1−i321+i32−1−i321+i32−1+i321−i321-1
χ281111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111−1−i32−1+i321−1−i32−1+i32-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i32−1−i321−i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32
χ291111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1−i32−1+i321−1+i321−1−i32-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i32−1−i321−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321+i32−1−i321−i32−1+i32-111−i32−1+i32-111+i32−1−i32
χ301111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1-1111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11−1+i321−1−i32−1−i32−1+i321-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i32−1−i321−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11−i32−1+i32-111+i32−1−i321+i32−1−i321−i32−1+i32-11
χ311111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11−1+i32−1−i321−1+i32−1−i3211-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1−1+i321−i32−1−i321+i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321-1−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32
χ321111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1−i321−1+i32−1+i32−1−i32111-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32-1-11−i321−i321−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1−1−i321+i321-1−1+i321−i32−1+i321−i32−1−i321+i321-1
χ331111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321-111-1-11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i321−1−i321−1+i3211-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i32-1−1+i321−i32−1−i321+i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1+i321−i32−1−i321+i321-1−1−i321+i321-1−1+i321−i32
χ341111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111−1+i32−1−i321−1+i32−1−i32-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i32−1+i321+i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32
χ351111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1−i321−1+i32−1+i32−1−i321-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i32−1+i321+i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-11+i32−1−i32-111−i32−1+i321−i32−1+i321+i32−1−i32-11
χ361111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1-1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11−1+i32−1−i321−1−i321−1+i32-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i32−1+i321+i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i321−i32−1+i321+i32−1−i32-111+i32−1−i32-111−i32−1+i32
χ37222222-200-2-200002222000000-22-2-2-2-2-2-2-2-222222222-2-200000022222200000000000000002222220000000000000-2-2-2-2-2-2000000000000000000000000
χ38222222-200-2-200002222000000-22-2-2-2-2-2-2-2-222222222-2-2000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i300000000000001+i31+i31+i31−i31−i31−i3000000000000000000000000
χ39222222-200-2-200002222000000-22-2-2-2-2-2-2-2-222222222-2-2000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i300000000000001−i31−i31−i31+i31+i31+i3000000000000000000000000
χ40222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-21+i31+i31+i31−i31−i31−i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i30000002−1−i3−1+i32−1−i3−1+i300000000000000002−1−i3−1+i32−1−i3−1+i30000000000000-21+i31−i3-21+i31−i3000000000000000000000000
χ41222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-21+i31+i31+i31−i31−i31−i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3000000−1−i3−1+i32−1+i32−1−i30000000000000000−1−i3−1+i32−1+i32−1−i300000000000001+i31−i3-21−i3-21+i3000000000000000000000000
χ42222222-200-2-20000−1−i3−1+i3−1−i3−1+i3000000-22-2-21+i31+i31+i31−i31−i31−i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31−i3000000−1+i32−1−i3−1−i3−1+i320000000000000000−1+i32−1−i3−1−i3−1+i3200000000000001−i3-21+i31+i31−i3-2000000000000000000000000
χ43222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-21−i31−i31−i31+i31+i31+i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i30000002−1+i3−1−i32−1+i3−1−i300000000000000002−1+i3−1−i32−1+i3−1−i30000000000000-21−i31+i3-21−i31+i3000000000000000000000000
χ44222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-21−i31−i31−i31+i31+i31+i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3000000−1−i32−1+i3−1+i3−1−i320000000000000000−1−i32−1+i3−1+i3−1−i3200000000000001+i3-21−i31−i31+i3-2000000000000000000000000
χ45222222-200-2-20000−1+i3−1−i3−1+i3−1−i3000000-22-2-21−i31−i31−i31+i31+i31+i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31+i3000000−1+i3−1−i32−1−i32−1+i30000000000000000−1+i3−1−i32−1−i32−1+i300000000000001−i31+i3-21+i3-21−i3000000000000000000000000
χ463333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-13333-1-1-1-1-1-1-1-1000000000000000000000000000000
χ473333333333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333333110000001111111111111111000000-1-3-3-3-3-1-1-1-1-1-1-1-1000000000000000000000000000000
χ48333333333333333−3−3i32−3+3i32−3−3i32−3+3i32333333-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1000000-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000-1−3−3i32−3−3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ49333333333333333−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-3-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32110000001111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000-13+3i323+3i323−3i323−3i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000000
χ50333333333333333−3+3i32−3−3i32−3+3i32−3−3i32333333-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1000000-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000-1−3+3i32−3+3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ51333333333333333−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3-3-3-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32110000001111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000-13−3i323−3i323+3i323+3i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000000
χ523333333-3-333-3-3-3-333333-333-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-3-3-3-3-11000000-1-111-1-1-1111-1-1-111100000013-33-311111111000000000000000000000000000000
χ533333333-3-333-3-3-3-33333-33-3-333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-3-3-3-31-100000011-1-1111-1-1-1111-1-1-10000001-33-3311111111000000000000000000000000000000
χ543333333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i323-333-3-3-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32-11000000-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i320000001−3−3i323+3i32−3+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ553333333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32-33-3-333-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i323+3i323+3i323−3i323−3i321-100000011-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i3200000013+3i32−3−3i323−3i32−3+3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000000000
χ563333333-3-333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323-333-3-3-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32-11000000-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i320000001−3+3i323−3i32−3−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000
χ573333333-3-333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32-33-3-333-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i323−3i323−3i323+3i323+3i321-100000011-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i3200000013−3i32−3+3i323+3i32−3−3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000000000
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χ109666666-600-6-60000−3−3i3−3+3i3−3−3i3−3+3i30000002-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ110666666-600-6-60000−3+3i3−3−3i3−3+3i3−3−3i30000002-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11166−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000002-2−1−i3−1+i3-42+2i32−2i3-42+2i32−2i31+i31−i34−2−2i3−2+2i34−2−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11266−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000002-2−1−i3−1+i32+2i32−2i3-42−2i3-42+2i31+i31−i3−2−2i3−2+2i34−2+2i34−2−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11366−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000002-2−1−i3−1+i32−2i3-42+2i32+2i32−2i3-41+i31−i3−2+2i34−2−2i3−2−2i3−2+2i340000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11466−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000-663+3i33−3i3000000−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11566−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000000000002-2−1+i3−1−i3-42−2i32+2i3-42−2i32+2i31−i31+i34−2+2i3−2−2i34−2+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11766−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000000000002-2−1+i3−1−i32−2i32+2i3-42+2i3-42−2i31−i31+i3−2+2i3−2−2i34−2−2i34−2+2i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11866−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i300000000000000-663−3i33+3i3000000−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11912-12−6−6i3−6+6i36+6i36−6i3062−6200−6ζ7+6ζ136ζ7−6ζ136ζ5−6ζ23−6ζ5+6ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12012-12−6−6i3−6+6i36+6i36−6i30−6262006ζ7−6ζ13−6ζ7+6ζ13−6ζ5+6ζ236ζ5−6ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-12−6+6i3−6−6i36−6i36+6i3062−62006ζ5−6ζ23−6ζ5+6ζ23−6ζ7+6ζ136ζ7−6ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-12−6+6i3−6−6i36−6i36+6i30−626200−6ζ5+6ζ236ζ5−6ζ236ζ7−6ζ13−6ζ7+6ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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