Finite Group Databasebeta

← Group #11919434

Character table — Group #11919434

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111111111333333333333444444444444121212121212121212121212121212121212121212121212161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222336666662222666666662222666666664444444412121212121212121212121212121212333333666666666666666666666666666666666666666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−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+i32−1+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
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+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−i32−1−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
χ71111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i32111−1−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+i32111−1−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
χ81111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32
χ91111−1−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+i321111−1−i32−1−i32−1−i32−1−i32−1+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+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−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+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111
χ101111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ111111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−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+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i32
χ121111−1−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+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1
χ131111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i32111−1+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−i32111−1+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
χ141111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+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−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111
χ151111−1+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−i321111−1+i32−1+i32−1+i32−1+i32−1−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−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32
χ161111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ171111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1
χ181111−1+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−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+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−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i32
χ191-1-1111-1-1-1-1111-1-111-1-11-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111111-1-11-1-11-1-111-1-111-1-111-1-11-1-11-1-11-1-111-1-111-1-111-1-1
χ201-1-1111-1-1-1-1111-1-111-1-11-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ211-1-1111-1-1-1-1111-1-111-1-11-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ221-1-1111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111111111-1-11-1-11-1-1-1-111-1-111-1-1111-1-11-1-11-1-1-1-111-1-111-1-111
χ231-1-1111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ241-1-1111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ251-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ261-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32
χ271-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1
χ281-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ291-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i32−1+i321−i321−i321-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111−1+i321−i321−i321-1-1−1−i321+i321+i321−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i32
χ301-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−i321−i321-1-1−1−i321+i321+i321−i321−i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i321−i321−i321-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111
χ311-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ321-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1
χ331-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32
χ341-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ351-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321+i321+i321-1-1−1+i321−i321−i321+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111
χ361-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−1−i321+i321+i321-1-1−1+i321−i321−i321+i321+i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i32
χ3722-2-2222-22-2-2-222-2-222-222-2-2-22-22-22-22-22-22-2000000000000000000000000-1-1-1-1-1-111-111-111-11-11-11-11-11-11-111-111-111-11-11-11-11-11-11-1
χ3822-2-2222-22-2-2-222-2-222-222-2-2-22-22-22-22-22-22-20000000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ3922-2-2222-22-2-2-222-2-222-222-2-2-22-22-22-22-22-22-20000000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4022-2-2222-22-2-2-222-2-222-222-2-2-2-22-22-22-22-22-22000000000000000000000000-1-1-1-1-1-111-111-111-1-11-11-11-11-11-1111-111-111-1-11-11-11-11-11-11
χ4122-2-2222-22-2-2-222-2-222-222-2-2-2-22-22-22-22-22-220000000000000000000000001+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ4222-2-2222-22-2-2-222-2-222-222-2-2-2-22-22-22-22-22-220000000000000000000000001−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ4322-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i32-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3000000000000000000000000-11+i321−i32-11+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i321-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ4422-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i32-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000001+i321−i32-11−i32-11+i32−1−i32−1−i321+i32−1+i32−1+i321−i3211-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1−1+i32−1+i321−i3211-1−1−i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1−1−i321+i32−1−i321+i32
χ4522-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i32-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000001−i32-11+i321+i321−i32-1−1+i32−1+i321−i3211-1−1−i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i3211-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1
χ4622-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i3-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3000000000000000000000000-11+i321−i32-11+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ4722-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i3-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000001+i321−i32-11−i32-11+i32−1−i32−1−i321+i32−1+i32−1+i321−i3211-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11-11−1+i32−1+i321−i3211-1−1−i32−1−i321+i321−i32−1+i321−i32−1+i32-11-111+i32−1−i321+i32−1−i32
χ4822-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i322-2-2−1−i3−1−i31+i3−1+i3−1+i31−i31+i31−i3-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000001−i32-11+i321+i321−i32-1−1+i32−1+i321−i3211-1−1−i32−1−i321+i321−i32−1+i321−i32−1+i32-11-111+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i3211-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11-11
χ4922-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i32-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3000000000000000000000000-11−i321+i32-11−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i321-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ5022-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i32-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000001+i32-11−i321−i321+i32-1−1−i32−1−i321+i3211-1−1+i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i3211-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1
χ5122-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i32-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000001−i321+i32-11+i32-11−i32−1+i32−1+i321−i32−1−i32−1−i321+i3211-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1−1−i32−1−i321+i3211-1−1+i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1−1+i321−i32−1+i321−i32
χ5222-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i3-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3000000000000000000000000-11−i321+i32-11−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ5322-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i3-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000001+i32-11−i321−i321+i32-1−1−i32−1−i321+i3211-1−1+i32−1+i321−i321+i32−1−i321+i32−1−i32-11-111−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i3211-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11-11
χ5422-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i322-2-2−1+i3−1+i31−i3−1−i3−1−i31+i31−i31+i3-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000001−i321+i32-11+i32-11−i32−1+i32−1+i321−i32−1−i32−1−i321+i3211-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11-11−1−i32−1−i321+i3211-1−1+i32−1+i321−i321+i32−1−i321+i32−1−i32-11-111−i32−1+i321−i32−1+i32
χ552-22-222-22-22-2-22-22-22-222-22-2-22-2-222-2-222-2-22000000000000000000000000-1-1-1-1-1-11-111-111-111-1-111-1-111-1-111-111-111-111-1-111-1-111-1-11
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χ996-66-6−3−3i3−3+3i33+3i3−3−3i33−3i3−3+3i33+3i33−3i3-22-221+i3−1−i31+i31−i3−1+i31−i3−1−i3−1+i300000000000000002i−2i−2i2i000000002ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ7000000000000000000000000000000000000000000000000
χ1006-66-6−3−3i3−3+3i33+3i3−3−3i33−3i3−3+3i33+3i33−3i3-22-221+i3−1−i31+i31−i3−1+i31−i3−1−i3−1+i30000000000000000−2i2i2i−2i00000000−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ7000000000000000000000000000000000000000000000000
χ1016-66-6−3+3i3−3−3i33−3i3−3+3i33+3i3−3−3i33−3i33+3i3-22-221−i3−1+i31−i31+i3−1−i31+i3−1+i3−1−i300000000000000002i−2i−2i2i000000002ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ11000000000000000000000000000000000000000000000000
χ1026-66-6−3+3i3−3−3i33−3i3−3+3i33+3i3−3−3i33−3i33+3i3-22-221−i3−1+i31−i31+i3−1−i31+i3−1+i3−1−i30000000000000000−2i2i2i−2i00000000−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ11000000000000000000000000000000000000000000000000
χ1036-6-6666-6-6-6-666-222-2-222-222-2-20000000000002-2-2200002-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1046-6-6666-6-6-6-666-222-2-222-222-2-2000000000000-222-20000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1056-6-66−3−3i3−3+3i33+3i33+3i33−3i33−3i3−3−3i3−3+3i3-222-21+i3−1−i3−1−i31−i3−1+i3−1+i31+i31−i30000000000002-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000000000000000000000000000000000000000
χ1066-6-66−3−3i3−3+3i33+3i33+3i33−3i33−3i3−3−3i3−3+3i3-222-21+i3−1−i3−1−i31−i3−1+i3−1+i31+i31−i3000000000000-222-200001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000000000000000000000000000000000000000
χ1076-6-66−3+3i3−3−3i33−3i33−3i33+3i33+3i3−3+3i3−3−3i3-222-21−i3−1+i3−1+i31+i3−1−i3−1−i31−i31+i30000000000002-2-220000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000000000000000000000000000000000000000
χ1086-6-66−3+3i3−3−3i33−3i33−3i33+3i33+3i3−3+3i3−3−3i3-222-21−i3−1+i3−1+i31+i3−1−i3−1−i31−i31+i3000000000000-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000000000000000000000000000000000000000

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