Finite Group Databasebeta

← Group #10644407

Character table — Group #10644407

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111222222222222222222222222222444444444444444444444888888888888888888888888888888888888888888888888888888161616161616161616161616
order1233662224444666666881212121212121212242424242244666688812121212242424242424222244444444666666668888881212121212121212121212121212121224242424242424242424242444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ91111111111111111111-1-111111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-11-11-11-11-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ101111111111111111111-1-111111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-11-11-11-11-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111
χ111111111111111111111-1-111111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-11-11-11-111111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ121111111111111111111-1-111111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1
χ131111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ141111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-111-1-1-11111-1-1
χ151111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ161111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-1-1-111
χ1711−1−i32−1+i32−1−i32−1+i321111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111−1−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+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i321111111+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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ2011−1−i32−1+i32−1−i32−1+i321111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1111+i321−i321+i321−i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211-1-1-1-1−1−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−i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2211−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-1-1-11+i321+i321−i321−i321111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-111-1-1−1−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−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2311−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-1-1-11+i321+i321−i321−i321111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-11+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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2411−1−i32−1+i32−1−i32−1+i321111111−1−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+i32-1-1-1-11+i321+i321−i321−i321111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111-1-111-1-1111+i321−i321+i321−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−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2511−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-11-11-11111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-1-1-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+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−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2611−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i321-11-11-11-1-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321111-1-1−1−i32−1+i321+i321−i32−1−i32−1+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−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2711−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-11-11-1111111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-1-1-1-1-11+i321−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+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2811−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-11-11-11-11-1-1-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321111-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2911−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321-1-111-1-1111-1-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-1-11111−1−i32−1+i321+i321−i321+i321−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+i321-1-11−1−i32−1+i321+i321−i321+i321−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+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321-1-111-1-11-1-111−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211-1-111−1−i32−1+i321+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+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32-111-1-111-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-111111+i321−i32−1−i32−1+i32−1−i32−1+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+i32-111-11+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+i32-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32-1-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32-111-1-111-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211-1-1111+i321−i32−1−i32−1+i32−1−i32−1+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−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111−1+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−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i321111111−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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ3611−1+i32−1−i32−1+i32−1−i321111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3211-1-1-1-1−1+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+i321−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ3811−1+i32−1−i32−1+i32−1−i321111111−1+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−i32-1-1-1-11−i321−i321+i321+i321111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-111-1-1−1+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+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ3911−1+i32−1−i32−1+i32−1−i321111111−1+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−i32-1-1-1-11−i321−i321+i321+i321111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-1-11111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-11−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−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ4011−1+i32−1−i32−1+i32−1−i321111111−1+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−i32-1-1-1-11−i321−i321+i321+i321111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111-1-111-1-1111−i321+i321−i321+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+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ4111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-11-11-11111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-1-1-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−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+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ4211−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321-11-11-11-1-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321111-1-1−1+i32−1−i321−i321+i32−1+i32−1−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+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ4311−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-11-11-1111111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-1-1-1-1-11−i321+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−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ4411−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-11-11-11-11-1-1-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321111-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ4511−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321-1-111-1-1111-1-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-1-11111−1+i32−1−i321−i321+i321−i321+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−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4611−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321-1-111-1-11-1-111−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211-1-111−1+i32−1−i321−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−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ4711−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i32-111-1-111-111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-111111−i321+i32−1+i32−1−i32−1+i32−1−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−i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ4811−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32-1-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i32-111-1-111-1-1-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211-1-1111−i321+i32−1+i32−1−i32−1+i32−1−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+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ49222222222-2-2-2-222222200-2-2-2-2-2-2-2-200002-22-22-22-20002-22-2000000000000002-22-200000000000000000000002-22-22-22-2000000000000000000000000
χ50222222222-2-2-2-222222200-2-2-2-2-2-2-2-200002-22-22-22-20002-22-200000000000000-22-220000000000000000000000-22-22-22-22000000000000000000000000
χ51222222222-2-2-2-222222200-2-2-2-2-2-2-2-20000-22-22-22-22000-22-22000000000000002-2-2200000000000000000000002-22-2-22-22000000000000000000000000
χ52222222222-2-2-2-222222200-2-2-2-2-2-2-2-20000-22-22-22-22000-22-2200000000000000-222-20000000000000000000000-22-222-22-2000000000000000000000000
χ532222222-2-2-22-222-22-2-2-222-2-22-22-2222222000000002-2-200002-2-22-2-2002200-2-20000000022220000000000-2-2-2-200000000000000000000000000000000
χ542222222-2-2-22-222-22-2-2-222-2-22-22-2222222000000002-2-200002-2-22-2-200-2-2002200000000-2-2-2-20000000000222200000000000000000000000000000000
χ552222222-2-2-22-222-22-2-2-2-2-2-2-22-22-222-2-2-2-200000000-2220000-222-222002-200-220000000022-2-20000000000-2-22200000000000000000000000000000000
χ562222222-2-2-22-222-22-2-2-2-2-2-2-22-22-222-2-2-2-200000000-2220000-222-22200-22002-200000000-2-222000000000022-2-200000000000000000000000000000000
χ57222222-22-2-2-222-22-22-2-222-2-2-22-2222222200000000-22-20000-22-2-22-22200-2-200000022220000000000-2-2-2-2000000000000000000000000000000000000
χ58222222-22-2-2-222-22-22-2-222-2-2-22-2222222200000000-22-20000-22-2-22-2-2-20022000000-2-2-2-200000000002222000000000000000000000000000000000000
χ59222222-22-2-2-222-22-22-2-2-2-2-2-2-22-2222-2-2-2-2000000002-2200002-222-222-200-2200000022-2-20000000000-2-222000000000000000000000000000000000000
χ60222222-22-2-2-222-22-22-2-2-2-2-2-2-22-2222-2-2-2-2000000002-2200002-222-22-22002-2000000-2-222000000000022-2-2000000000000000000000000000000000000
χ61222222-2-222-2-22-2-2-2-2222222-2-2-2-22222222-2-222-22-2-2-22-22-22-2-22-2-220000000000000000000000002-20000000000000000000000002-22-2000000000000
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χ1158-888-8-8000000000000042−420000000042−4242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-888-8-80000000000000−424200000000−4242−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8−4−4i3−4+4i34+4i34−4i3000000000000042−4200000000−4ζ7+4ζ134ζ7−4ζ134ζ5−4ζ23−4ζ5+4ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8−4−4i3−4+4i34+4i34−4i30000000000000−4242000000004ζ7−4ζ13−4ζ7+4ζ13−4ζ5+4ζ234ζ5−4ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8−4+4i3−4−4i34−4i34+4i3000000000000042−42000000004ζ5−4ζ23−4ζ5+4ζ23−4ζ7+4ζ134ζ7−4ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8−4+4i3−4−4i34−4i34+4i30000000000000−424200000000−4ζ5+4ζ234ζ5−4ζ234ζ7−4ζ13−4ζ7+4ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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