Finite Group Databasebeta

← Group #72344128

Character table — Group #72344128

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size1111222244444666688888888121212121212121212121212121216161616161616161616161624242424242424242424242424242424323232323232323232323232323232323232323232323232484848484848646464646464646464646464646464646464
order1222444422224224422222222222222224444443344446666662222444444444444666666666666666612121212121212124444446666666612121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ511111111111111111-1-1-1-1-1-1-1-111111111111111−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111-1-1-1-11−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−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ611111111111111111-1-1-1-1-1-1-1-111111111111111−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111-1-1-1-11+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+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ711111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ811111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ911111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1011111111-1-1-1-111111-1-1-1-111111111-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1111111−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1211111111-1-1-1-111111-1-1-1-111111111-1-1-1-1111111−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ13111111-1-111-1-1-111-1-111-1-1111111-1-111-1-1-1111-1-1111-1-1-111111111-1-11-11-111-1-111-1-111-1-1111111-1-1111111-1-111-1-11-111-1-111-1-111-1-1-1-11-1-1-11-1-1-1
χ14111111-1-111-1-1-111-1-111-1-1111111-1-111-1-1-1111-1-1−1+i32−1−i321-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-11-111-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32
χ15111111-1-111-1-1-111-1-111-1-1111111-1-111-1-1-1111-1-1−1−i32−1+i321-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-11-111-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32
χ16111111-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-111-111111111111-1-11-11-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-11-1-11111-1-111-1-1-1-1-1111-1111
χ17111111-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-1−1+i32−1−i32-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-11-111-1-1-1-1111−i321−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32
χ18111111-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1111-1-1−1−i32−1+i32-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-11-111-1-1-1-1111+i321+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32
χ19111111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1-1-111-1111-1-1111-111111111-1-1111-11-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1-1-111-1-111-1-111-1-11-1111-111
χ20111111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1-1-111-1111-1-1−1+i32−1−i321-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111-11-1-1-11111-1-1−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i32
χ21111111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1-1-111-1111-1-1−1−i32−1+i321-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111-11-1-1-11111-1-1−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i32
χ22111111-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1111-1-111-11-1-1111111-1-1111-11-1-1-111-1-111-1-1111111-1-111111111-1-111-1-1-1111-1-1-1-111-1-111-1-1-11-1-1-11-1-1
χ23111111-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1111-1-1−1+i32−1−i32-11-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111-11-1-1-111-1-1111−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321+i321−i32−1+i321−i321−i321+i32−1−i321+i321+i32
χ24111111-1-1-1-111-111-1-1-1-111111111-1-1-1-111-1111-1-1−1−i32−1+i32-11-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111-11-1-1-111-1-1111+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321−i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32
χ251111-1-1111-11-1-11111111111-1-111111-11-1-1-1111111-1-11-11111111-11-1-1-1-1-11-11-11111111111-1-1111111-1-1-1-111-1-111-1-11-11-11-11-11-11-1-1-1-1-11-1-1-11-1
χ261111-1-1111-11-1-11111111111-1-111111-11-1-1-11111−1+i32−1−i32-1-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1-1-11-11-11111−1+i32−1+i32−1+i32−1+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+i321+i321+i32−1−i32−1−i32-1-11-11-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i321−i321−i32−1+i321−i321+i321+i32−1−i321+i32
χ271111-1-1111-11-1-11111111111-1-111111-11-1-1-11111−1−i32−1+i32-1-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1-1-11-11-11111−1−i32−1−i32−1−i32−1−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−i321−i321−i32−1+i32−1+i32-1-11-11-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i321+i321+i32−1−i321+i321−i321−i32−1+i321−i32
χ281111-1-1111-11-1-11111-1-1-1-1-1-11111111-11-1-1-111111111-111111111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-11-111-11-11-11-1-1-111-1111-11
χ291111-1-1111-11-1-11111-1-1-1-1-1-11111111-11-1-1-11111−1+i32−1−i3211-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1-1-1-1-11-11-1-1-1-1-11−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-11-11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32
χ301111-1-1111-11-1-11111-1-1-1-1-1-11111111-11-1-1-11111−1−i32−1+i3211-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1-1-1-1-11-11-1-1-1-1-11+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-11-11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32
χ311111-1-111-11-11-111111111-1-1111111-11-11-1-1111111-1-1-11111111-11-11-1-1-1-1-11-1111111111-1-1111111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-1-1-1-1-11-1-1-11
χ321111-1-111-11-11-111111111-1-1111111-11-11-1-11111−1+i32−1−i32-1-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11-1-1-1-1-11-111111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-11-111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321+i321−i321−i321−i32−1+i321+i321+i321+i32−1−i32
χ331111-1-111-11-11-111111111-1-1111111-11-11-1-11111−1−i32−1+i32-1-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11-1-1-1-1-11-111111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-11-111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321−i321+i321+i321+i32−1−i321−i321−i321−i32−1+i32
χ341111-1-111-11-11-11111-1-1-1-111-1-11111-11-11-1-1111111111-1111111-11-11-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1-11-11-11-11-1-1111-1111-1
χ351111-1-111-11-11-11111-1-1-1-111-1-11111-11-11-1-11111−1+i32−1−i32111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11-1-1-1-1-11-11-1-1-1-11−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32111-11-11−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32
χ361111-1-111-11-11-11111-1-1-1-111-1-11111-11-11-1-11111−1−i32−1+i32111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11-1-1-1-1-11-11-1-1-1-11+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32111-11-11+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32
χ371111-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-1-111-111-1-111-11-111111111-1-11-11-111-1-1111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-11-11-11
χ381111-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-1-111-111-1-1−1+i32−1−i32-11-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-11-111-1-1111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ391111-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-1-111-111-1-1−1−i32−1+i32-11-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-11-111-1-1111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ401111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-11-1-111-111-1-1111-11-11111111-1-11-11-111-1-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-11-1-111-1-11111-11-11-11-1
χ411111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-11-1-111-111-1-1−1+i32−1−i321-11-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-11-111-1-11-1-1111−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111-1−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ421111-1-1-1-11-1-11111-1-1-1-111-1-11111-1-11-1-111-111-1-1−1−i32−1+i321-11-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-11-111-1-11-1-1111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111-1−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ431111-1-1-1-1-111-1111-1-111-1-1-1-11111-1-1-111-11-111-1-111-111-1111111-111-1-11-11-111-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-111-111-1-111-1
χ441111-1-1-1-1-111-1111-1-111-1-1-1-11111-1-1-111-11-111-1-1−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-11-11-111-111-1-1−1+i32−1+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+i32-11-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ451111-1-1-1-1-111-1111-1-111-1-1-1-11111-1-1-111-11-111-1-1−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-11-11-111-111-1-1−1−i32−1−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−i32-11-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ461111-1-1-1-1-111-1111-1-1-1-11111-1-111-1-1-111-11-111-1-1111-1-11111111-111-1-11-11-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-11-111-1-111-1111-1-111-1-11
χ471111-1-1-1-1-111-1111-1-1-1-11111-1-111-1-1-111-11-111-1-1−1+i32−1−i321-1-11−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-11-11-111-1-1-1111−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1-111−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ481111-1-1-1-1-111-1111-1-1-1-11111-1-111-1-1-111-11-111-1-1−1−i32−1+i321-1-11−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-11-11-111-1-1-1111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1-111+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ492-2-22002-200000-222-22-22-200002-22-20000002-22-2220000-2-22-22-20000000000002-22-22-22-200002-22-20000002-2002-2000000000000000000000000
χ502-2-22002-200000-222-22-22-200002-22-20000002-22-2−1+i3−1−i300001−i31+i3−1+i31−i3−1−i31+i30000000000002-22-2−1+i31−i3−1+i31−i30000−1−i31+i3−1−i31+i3000000−1+i31−i300−1−i31+i3000000000000000000000000
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χ1141616-16-1600000000000000000000000000000000000−2+2i3−2−2i30000−2+2i3−2−2i32−2i32−2i32+2i32+2i30000000000000000000000000000000000000000000000000000000000000000
χ1151616-16-1600000000000000000000000000000000000−2−2i3−2+2i30000−2−2i3−2+2i32+2i32+2i32−2i32−2i30000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).