Finite Group Databasebeta

← Group #10644203

Character table — Group #10644203

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111222222222222222222444444444444444444444444888888888888888888888888888888888888888888888888888888161616161616161616161616
order12223366666622444466661212121212121212444444441212121212121212121212121212121222244444444444666666888812121212121212121212121212121212121212121212242424242424242444881212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ81111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1
χ9111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ10111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ12111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111
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+i3211111111111111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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+i321111111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−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+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+i321-1-1-1-1-1-11-1-11111−1−i32−1+i321+i321+i321−i321−i3211111+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+i321-1-1-1-1-1-11-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+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+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−i32-11111-1-1-1-1-111-1-11+i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+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
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+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−i32-11111-1-1-1-1-1-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−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+i32-11-111+i321−i32−1−i32−1+i321+i321−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+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−i32-1-1-1-1-111-11111-1-11+i321−i321+i321+i321−i321−i3211-1-11+i321+i321−i321−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+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
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+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−i32-1-1-1-1-111-111-1-1111+i321−i321+i321+i321−i321−i32-1-1111+i321+i321−i321−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−i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ251111−1−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+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111-1-1-1-1-11111111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+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−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
χ261111−1−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+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111-1-1-1-1-111-1-1-1-11+i321−i32−1−i32−1−i32−1+i32−1+i3211111+i321+i321−i321−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+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ271111−1−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+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11111-1-1-111111+i321−i321+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−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
χ281111−1−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+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11111-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321111−1−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−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
χ291111−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32111-1-1111-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−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+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32111-1-1111-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11+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+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+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111-1-111111-1-1−1−i32−1+i321+i321+i321−i321−i32-1-111−1−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−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+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111-1-1111-1-111−1−i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+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+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−i3211111111111111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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−i321111111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+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−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−i321-1-1-1-1-1-11-1-11111−1+i32−1−i321−i321−i321+i321+i3211111−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−i321-1-1-1-1-1-11-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−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−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+i32-11111-1-1-1-1-111-1-11−i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−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
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−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+i32-11111-1-1-1-1-1-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+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−i32-11-111−i321+i32−1+i32−1−i321−i321+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−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+i32-1-1-1-1-111-11111-1-11−i321+i321−i321−i321+i321+i3211-1-11−i321−i321+i321+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−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
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−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+i32-1-1-1-1-111-111-1-1111−i321+i321−i321−i321+i321+i32-1-1111−i321−i321+i321+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+i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ411111−1+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−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111-1-1-1-1-11111111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−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+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
χ421111−1+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−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111-1-1-1-1-111-1-1-1-11−i321+i32−1+i32−1+i32−1−i32−1−i3211111−i321−i321+i321+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−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ431111−1+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−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11111-1-1-111111−i321+i321−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+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
χ441111−1+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−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11111-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321111−1+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+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
χ451111−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32111-1-1111-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+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−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32111-1-1111-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11−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−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−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111-1-111111-1-1−1+i32−1−i321−i321−i321+i321+i32-1-111−1+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+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−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111-1-1111-1-111−1+i32−1−i321−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−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−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
χ4922222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-20000000022-2-222-2-202-2000002-20000002-22-2000000000000002-22-20000000000000000000000000000
χ5022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2000022-2-20000000022-2-222-2-20-2200000-22000000-22-2200000000000000-22-220000000000000000000000000000
χ5122222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-22200000000-2-222-2-22202-200000-220000002-22-200000000000000-22-220000000000000000000000000000
χ5222222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-22200000000-2-222-2-2220-22000002-2000000-22-22000000000000002-22-20000000000000000000000000000
χ53222222222222-2-22-2-22-2-2-2-222-2-2-2-22222-2-22-22-222-2-222-2-22-22-22-22-22000000-2000000220000000000000000-2-200000000000000000000000000000000
χ54222222222222-2-22-2-22-2-2-2-222-2-2-2-22222-2-2-22-2222-2-222-2-2-22-22-22-22-20000002000000-2-200000000000000002200000000000000000000000000000000
χ55222222222222-2-22-2-22-2-2-2-222-2-2-2-222-2-2222-22-2-2-222-2-2222-22-22-22-2-20000002000000-2-200000000000000002200000000000000000000000000000000
χ56222222222222-2-22-2-22-2-2-2-222-2-2-2-222-2-222-22-22-2-222-2-222-22-22-22-222000000-2000000220000000000000000-2-200000000000000000000000000000000
χ57222222222222-2-2-222-2-2-2-2-2-2-22222-2-200002-2-22000000002-2-222-2-220002-22-2000000000000000002-22-22-22-20000000000000000000000000000000000
χ58222222222222-2-2-222-2-2-2-2-2-2-22222-2-200002-2-22000000002-2-222-2-22000-22-2200000000000000000-22-22-22-220000000000000000000000000000000000
χ59222222222222-2-2-222-2-2-2-2-2-2-22222-2-20000-222-200000000-222-2-222-20002-2-22000000000000000002-22-2-22-220000000000000000000000000000000000
χ60222222222222-2-2-222-2-2-2-2-2-2-22222-2-20000-222-200000000-222-2-222-2000-222-200000000000000000-22-222-22-20000000000000000000000000000000000
χ612222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3000022-2-200000000−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i302-2000002-2000000−1−i31+i3−1+i31−i300000000000000−1−i31+i3−1+i31−i30000000000000000000000000000
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χ632222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i30000-2-222000000001+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i302-200000-22000000−1−i31+i3−1+i31−i3000000000000001+i3−1−i31−i3−1+i30000000000000000000000000000
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χ1124-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i3-44-44-442+2i3−2−2i32−2i3−2+2i32+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i34-4-4-444−2+2i32−2i3−2−2i32+2i32−2i32+2i32−2i3−2+2i32+2i3−2−2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i3-44-44-442−2i3−2+2i32+2i3−2−2i32−2i32+2i3−2+2i32−2i3−2−2i32+2i3−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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 12 (ζ12 = 1); i = ζ3.