Finite Group Databasebeta

← Group #10636922

Character table — Group #10636922

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111222222222222222222444444444444444444444444888888888888888888888888888888888888888888888888888888161616161616161616161616
order1222336666662244446666121212121212121244444444121212121212121212121212121212122244444444666688888888121212121212121212121212121212122424242424242424242424242424242444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-11-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ7111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-1-11-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-111-1-11-11-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111
χ171111−1−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+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+i321111111111−1−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−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ181111−1−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+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+i321111111111−1−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+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+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ191111−1−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+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+i32-1-11-1-1-1-11-1-11+i321−i321+i321−i3211111111−1−i32−1+i321+i321+i321−i321−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+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
χ201111−1−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+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+i32-1-11-1-1-1-11-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ211111−1−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+i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-111-1-1-11-1−1−i32−1+i321+i321−i321111-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−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−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ221111−1−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+i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-111-1-1-11-1−1−i32−1+i321+i321−i32-1-1-1-111111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−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+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ231111−1−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+i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111-1-111+i321−i32−1−i32−1+i321111-1-1-1-11+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−i32−1+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
χ241111−1−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+i32-1-111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111-1-111+i321−i32−1−i32−1+i32-1-1-1-111111+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−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+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ251111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1−1−i32−1+i321+i321−i3211-1-111-1-11+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+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+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ261111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11111-1−1−i32−1+i321+i321−i32-1-111-1-1111+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−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ271111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-111-1-11-111+i321−i32−1−i32−1+i3211-1-111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−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−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ281111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-111-1-11-111+i321−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+i321+i321−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+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ291111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-111−1−i32−1+i32−1−i32−1+i3211-1-1-1-111−1−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−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
χ301111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-111−1−i32−1+i32−1−i32−1+i32-1-11111-1-1−1−i32−1+i321+i321+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+i321+i321+i321−i321−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ311111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111-1-1-11+i321−i321+i321−i3211-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111-1-1-11+i321−i321+i321−i32-1-11111-1-1−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ331111−1+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−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−i321111111111−1+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+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ341111−1+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−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−i321111111111−1+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−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−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ351111−1+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−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−i32-1-11-1-1-1-11-1-11−i321+i321−i321+i3211111111−1+i32−1−i321−i321−i321+i321+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−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
χ361111−1+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−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−i32-1-11-1-1-1-11-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ371111−1+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−i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-111-1-1-11-1−1+i32−1−i321−i321+i321111-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+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+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ381111−1+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−i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-111-1-1-11-1−1+i32−1−i321−i321+i32-1-1-1-111111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+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−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ391111−1+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−i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111-1-111−i321+i32−1+i32−1−i321111-1-1-1-11−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+i32−1−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
χ401111−1+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−i32-1-111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111-1-111−i321+i32−1+i32−1−i32-1-1-1-111111−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321+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−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ411111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1−1+i32−1−i321−i321+i3211-1-111-1-11−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−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−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ421111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11111-1−1+i32−1−i321−i321+i32-1-111-1-1111−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+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ431111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-111-1-11-111−i321+i32−1+i32−1−i3211-1-111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+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+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ441111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-111-1-11-111−i321+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−i321−i321+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−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ451111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-1-111−1+i32−1−i32−1+i32−1−i3211-1-1-1-111−1+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+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
χ461111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-1-111−1+i32−1−i32−1+i32−1−i32-1-11111-1-1−1+i32−1−i321−i321−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−i321−i321−i321+i321+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ471111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111-1-1-11−i321+i321−i321+i3211-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ481111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111-1-1-11−i321+i321−i321+i32-1-11111-1-1−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4922222222222222222222222222222222-2-222-2-22222-2-2-2-22222-2-2-2-200-20000-200000000000000-2-200000000-2-200000000000000000000000000000000
χ50222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2002000020000000000000022000000002200000000000000000000000000000000
χ5122222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20020000-2000000000000002200000000-2-200000000000000000000000000000000
χ5222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200-20000200000000000000-2-2000000002200000000000000000000000000000000
χ53222222222222-2-222-2-2-2-2-2-222-2-222-2-2002-2002-200002-22-200002-22-2020002-200-20022000000000000002-22-20000-2-20000000000000000000000000000
χ54222222222222-2-222-2-2-2-2-2-222-2-222-2-2002-2002-200002-22-200002-22-20-2000-2200200-2-200000000000000-22-220000220000000000000000000000000000
χ55222222222222-2-222-2-2-2-2-2-222-2-222-2-200-2200-220000-22-220000-22-222002-2000-20220000000000002-22-2000000-2-2000000000000000000000000000000
χ56222222222222-2-222-2-2-2-2-2-222-2-222-2-200-2200-220000-22-220000-22-22-200-2200020-2-2000000000000-22-2200000022000000000000000000000000000000
χ57222222222222-2-2-2-222-2-2-2-2-2-222-2-222002-200-2200002-22-20000-22-22200-22000-2022000000000000-22-22000000-2-2000000000000000000000000000000
χ58222222222222-2-2-2-222-2-2-2-2-2-222-2-222002-200-2200002-22-20000-22-22-2002-200020-2-20000000000002-22-200000022000000000000000000000000000000
χ59222222222222-2-2-2-222-2-2-2-2-2-222-2-22200-22002-20000-22-2200002-22-202000-2200-2002200000000000000-22-220000-2-20000000000000000000000000000
χ60222222222222-2-2-2-222-2-2-2-2-2-222-2-22200-22002-20000-22-2200002-22-20-20002-200200-2-2000000000000002-22-20000220000000000000000000000000000
χ612222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i322-2-222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300-20000-2000000000000001+i31−i3000000001+i31−i300000000000000000000000000000000
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χ1042-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i32-22i−2i2i−2i−1+i31−i3−1−i31+i32ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22−2i2i00-2200−2ζ142ζ14−2ζ222ζ2200001−i3−1+i31+i3−1−i3000000000000000000i2−i2−222−2−i2i20000000000000000−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000000000000
χ1052-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i32-2−2i2i−2i2i−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ222i−2i00-22002ζ14−2ζ142ζ22−2ζ2200001−i3−1+i31+i3−1−i3000000000000000000−i2i2−222−2i2−i20000000000000000ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13000000000000
χ1062-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i32-2−2i2i−2i2i−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ222i−2i00-22002ζ14−2ζ142ζ22−2ζ2200001−i3−1+i31+i3−1−i3000000000000000000i2−i22−2−22−i2i20000000000000000−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000000000000
χ1072-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i32-2−2i2i−2i2i−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2i2i002-200−2ζ142ζ14−2ζ222ζ220000−1+i31−i3−1−i31+i3000000000000000000−i2i2−22−22−i2i20000000000000000ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000000000000
χ1082-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i32-2−2i2i−2i2i−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ22−2i2i002-200−2ζ142ζ14−2ζ222ζ220000−1+i31−i3−1−i31+i3000000000000000000i2−i22−22−2i2−i20000000000000000−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13000000000000
χ1094-4-4444-4-4-4-444-444i−4i−4i4i-44-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-4444-4-4-4-444-44−4i4i4i−4i-44-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i3-444i−4i−4i4i2+2i3−2−2i32−2i3−2+2i34ζ22−4ζ22−4ζ224ζ224ζ14−4ζ14−4ζ144ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i3-44−4i4i4i−4i2+2i3−2−2i32−2i3−2+2i3−4ζ224ζ224ζ22−4ζ22−4ζ144ζ144ζ14−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i3-444i−4i−4i4i2−2i3−2+2i32+2i3−2−2i34ζ14−4ζ14−4ζ144ζ144ζ22−4ζ22−4ζ224ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i3-44−4i4i4i−4i2−2i3−2+2i32+2i3−2−2i3−4ζ144ζ144ζ14−4ζ14−4ζ224ζ224ζ22−4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8888-88-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8−4−4i3−4+4i3−4−4i34+4i3−4+4i34−4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8−4+4i3−4−4i3−4+4i34−4i3−4−4i34+4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-888-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8−4−4i3−4+4i34+4i3−4−4i34−4i3−4+4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8−4+4i3−4−4i34−4i3−4+4i34+4i3−4−4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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