Finite Group Databasebeta

← Group #10637676

Character table — Group #10637676

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111222222444444444444444444888888888888888888888888888888888888888888888888161616161616161616161616161616161616
order12223366666644121212122444446612121212121212121212222244444444666666668888121212121212121212121212121212122424242424242424448888121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ5111111111111111111111111111111111111-1-11-11-11-1-1-11-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-11-11-11-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-11-11-11-1-1-11-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-11-11-11-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-111-111-11-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-111-111-11-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-11-1-111-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-1-111-1-11-1-11111-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-11-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111-1-111-111-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-1-1-111-11-11-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-11-1111-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-1-1-111-11-11-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-1111-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-1111-1-1-111-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1111-1-111-1-1-1-111
χ171111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111111−1−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−i32−1+i32−1−i32−1+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
χ181111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i32111111111111−1−i32−1+i32−1−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+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ191111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i3211-1-1-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211111+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+i32-1-111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ201111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i3211-1-1-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−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+i3211−1−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+i32-1-11-11-11-1-1-11-11+i321−i321+i321−i32−1−i32−1+i321+i321−i321111−1−i32−1+i321+i321−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+i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ221111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−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+i32-1-11-11-11-1-1-11-11+i321−i321+i321−i32−1−i32−1+i321+i321−i32-1-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+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+i3211−1−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+i32-1-1-11-11-11-1-1-111+i321−i321+i321−i321+i321−i32−1−i32−1+i3211111+i321−i32−1−i32−1+i321+i321−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−i32−1+i32−1+i32-1-1-1-1111+i321−i321+i321−i321+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+i3211−1−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+i32-1-1-11-11-11-1-1-111+i321−i321+i321−i321+i321−i32−1−i32−1+i32-1-1-1-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111-1-1−1−i32−1+i32−1−i32−1+i32−1−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+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-111-11-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-11-1−1−i32−1+i321+i321−i32−1−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+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-111-11-1-1-1−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i32−1−i32−1+i32−1−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+i32-11-11-111+i321−i32−1−i32−1+i321+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+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11-1-111-111−1−i32−1+i321+i321−i321+i321−i321+i321−i3211-1-1−1−i32−1+i321+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−i32-111-1-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ281111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-1-11-1-111-111−1−i32−1+i321+i321−i321+i321−i321+i321−i32-1-111−1−i32−1+i321+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+i321-1-111-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ291111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-111-11-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i3211-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-111-1-1-111-11-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-11-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ311111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1111-1-1-111-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+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−i32-11-111-11+i321−i32−1−i32−1+i321+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+i32-1-11+i321+i321−i321−i32-1-1-11111+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1111-1-1-111-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-111−1−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−i32−1−i32−1−i32−1+i32−1+i321-11-1-11−1−i32−1+i321+i321−i32−1−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−i3211−1+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−i32111111111111−1+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+i32−1−i32−1+i32−1−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
χ341111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+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−i32111111111111−1+i32−1−i32−1+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−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ351111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+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−i3211-1-1-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3211111−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−i32-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ361111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+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−i3211-1-1-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+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−i3211−1+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−i32-1-11-11-11-1-1-11-11−i321+i321−i321+i32−1+i32−1−i321−i321+i321111−1+i32−1−i321−i321+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−i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ381111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+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−i32-1-11-11-11-1-1-11-11−i321+i321−i321+i32−1+i32−1−i321−i321+i32-1-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−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−i3211−1+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−i32-1-1-11-11-11-1-1-111−i321+i321−i321+i321−i321+i32−1+i32−1−i3211111−i321+i32−1+i32−1−i321−i321+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+i32−1−i32−1−i32-1-1-1-1111−i321+i321−i321+i321−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−i3211−1+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−i32-1-1-11-11-11-1-1-111−i321+i321−i321+i321−i321+i32−1+i32−1−i32-1-1-1-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111-1-1−1+i32−1−i32−1+i32−1−i32−1+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−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-111-11-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-11-1−1+i32−1−i321−i321+i32−1+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−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-111-11-1-1-1−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i32−1+i32−1−i32−1+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−i32-11-11-111−i321+i32−1+i32−1−i321−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−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11-1-111-111−1+i32−1−i321−i321+i321−i321+i321−i321+i3211-1-1−1+i32−1−i321−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+i32-111-1-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ441111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-1-11-1-111-111−1+i32−1−i321−i321+i321−i321+i321−i321+i32-1-111−1+i32−1−i321−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−i321-1-111-1−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-111-11-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i3211-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ461111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-111-1-1-111-11-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-11-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ471111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1111-1-1-111-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−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+i32-11-111-11−i321+i32−1+i32−1−i321−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−i32-1-11−i321−i321+i321+i32-1-1-11111−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1111-1-1-111-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-111−1+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+i32−1+i32−1+i32−1−i32−1−i321-11-1-11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ492222222222222222222-2-22-2-222-2-2-2-222-2-2-2-200020-20-2000200000022000000-2-200-2-20000002200000000000000000000000000
χ502222222222222222222-2-22-2-222-2-2-2-222-2-2-2-2000-20202000-2000000-2-2000000220022000000-2-200000000000000000000000000
χ51222222222222222222-22-2-2-22-2-222-2-2-2-2-2-2222-2000000-220022-2-20000000000000000-2-222000000000000000000000000000000
χ52222222222222222222-22-2-2-22-2-222-2-2-2-2-2-222-220000002-200-2-222000000000000000022-2-2000000000000000000000000000000
χ53222222222222222222-2-22-22-2-2-2-2-222-2-222-2-2002020-2000-200000220000002200-2-2000000-2-20000000000000000000000000000
χ54222222222222222222-2-22-22-2-2-2-2-222-2-222-2-200-20-202000200000-2-2000000-2-20022000000220000000000000000000000000000
χ55222222222222-2-2-2-2-2-222-2-22-22222-2-2-2-222-2-20020-20-200020000022000000-2-200-2-2000000220000000000000000000000000000
χ56222222222222-2-2-2-2-2-222-2-22-22222-2-2-2-222-2-200-20202000-200000-2-2000000220022000000-2-20000000000000000000000000000
χ57222222222222-2-2-2-2-2-22-22-2-2222-2-222-2-2-2-22222000000-2-20022220000000000000000-2-2-2-2000000000000000000000000000000
χ58222222222222-2-2-2-2-2-22-22-2-2222-2-222-2-2-2-222-2-20000002200-2-2-2-200000000000000002222000000000000000000000000000000
χ59222222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-200020-202000-200000022000000-2-20022000000-2-200000000000000000000000000
χ60222222222222-2-2-2-2-2-2-2222-2-2-2-2222222-2-2-2-2000-2020-20002000000-2-20000002200-2-20000002200000000000000000000000000
χ612222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32-2-22-2-2−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i31+i31−i300020-20-20002000000−1−i3−1+i30000001+i31−i3001+i31−i3000000−1−i3−1+i300000000000000000000000000
χ622222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32-2-22-2-2−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i31+i31−i3000-20202000-20000001+i31−i3000000−1−i3−1+i300−1−i3−1+i30000001+i31−i300000000000000000000000000
χ632222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-22-2-2-221+i31−i3−1−i3−1+i31+i31−i31+i31−i31+i31−i3−1−i3−1+i32-2000000-2200−1−i3−1+i31+i31−i300000000000000001+i31−i3−1−i3−1+i3000000000000000000000000000000
χ642222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-22-2-2-221+i31−i3−1−i3−1+i31+i31−i31+i31−i31+i31−i3−1−i3−1+i3-220000002-2001+i31−i3−1−i3−1+i30000000000000000−1−i3−1+i31+i31−i3000000000000000000000000000000
χ652222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-2-22-22-21+i31−i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3002020-2000-200000−1−i3−1+i3000000−1−i3−1+i3001+i31−i30000001+i31−i30000000000000000000000000000
χ662222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-2-22-22-21+i31−i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300-20-2020002000001+i31−i30000001+i31−i300−1−i3−1+i3000000−1−i3−1+i30000000000000000000000000000
χ672222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i322-2-22-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i30020-20-2000200000−1−i3−1+i30000001+i31−i3001+i31−i3000000−1−i3−1+i30000000000000000000000000000
χ682222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i322-2-22-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i31+i31−i300-20202000-2000001+i31−i3000000−1−i3−1+i300−1−i3−1+i30000001+i31−i30000000000000000000000000000
χ692222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i32-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i322000000-2-200−1−i3−1+i3−1−i3−1+i300000000000000001+i31−i31+i31−i3000000000000000000000000000000
χ702222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i32-22-2-22−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3-2-200000022001+i31−i31+i31−i30000000000000000−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000
χ712222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i3-2222-2-21+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300020-202000-2000000−1−i3−1+i30000001+i31−i300−1−i3−1+i30000001+i31−i300000000000000000000000000
χ722222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-21+i31+i31−i31−i3-2222-2-21+i31−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000-2020-200020000001+i31−i3000000−1−i3−1+i3001+i31−i3000000−1−i3−1+i300000000000000000000000000
χ732222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32-2-22-2-2−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i31−i31+i31−i31+i300020-20-20002000000−1+i3−1−i30000001−i31+i3001−i31+i3000000−1+i3−1−i300000000000000000000000000
χ742222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32-2-22-2-2−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i31−i31+i31−i31+i3000-20202000-20000001−i31+i3000000−1+i3−1−i300−1+i3−1−i30000001−i31+i300000000000000000000000000
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χ782222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-2-22-22-21−i31+i31−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300-20-2020002000001−i31+i30000001−i31+i300−1+i3−1−i3000000−1+i3−1−i30000000000000000000000000000
χ792222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i322-2-22-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i31−i31+i30020-20-2000200000−1+i3−1−i30000001−i31+i3001−i31+i3000000−1+i3−1−i30000000000000000000000000000
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χ812222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i32-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i322000000-2-200−1+i3−1−i3−1+i3−1−i300000000000000001−i31+i31−i31+i3000000000000000000000000000000
χ822222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i32-22-2-22−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3-2-200000022001−i31+i31−i31+i30000000000000000−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000
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χ842222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-21−i31−i31+i31+i3-2222-2-21−i31+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000-2020-200020000001−i31+i3000000−1+i3−1−i3001−i31+i3000000−1+i3−1−i300000000000000000000000000
χ854-44-444-4-444-4-44i−4i4i−4i4i−4i000000000000000000000000000000000000002-22i−2i00000000000000002-22-22i−2i2i−2i000000000000000000
χ864-44-444-4-444-4-44i−4i4i−4i4i−4i00000000000000000000000000000000000000-22−2i2i0000000000000000-22-22−2i2i−2i2i000000000000000000
χ874-44-444-4-444-4-4−4i4i−4i4i−4i4i000000000000000000000000000000000000002-2−2i2i00000000000000002-22-2−2i2i−2i2i000000000000000000
χ884-44-444-4-444-4-4−4i4i−4i4i−4i4i00000000000000000000000000000000000000-222i−2i0000000000000000-22-222i−2i2i−2i000000000000000000
χ894-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i34i−4i4ζ11−4ζ114ζ7−4ζ7000000000000000000000000000000000000002-22i−2i0000000000000000−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000000000
χ904-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i34i−4i4ζ11−4ζ114ζ7−4ζ700000000000000000000000000000000000000-22−2i2i00000000000000001+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ7000000000000000000
χ914-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i3−4i4i−4ζ114ζ11−4ζ74ζ7000000000000000000000000000000000000002-2−2i2i0000000000000000−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000000000
χ924-44-4−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i32+2i32−2i3−4i4i−4ζ114ζ11−4ζ74ζ700000000000000000000000000000000000000-222i−2i00000000000000001+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ7000000000000000000
χ934-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i34i−4i4ζ7−4ζ74ζ11−4ζ11000000000000000000000000000000000000002-22i−2i0000000000000000−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000000000
χ944-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i34i−4i4ζ7−4ζ74ζ11−4ζ1100000000000000000000000000000000000000-22−2i2i00000000000000001−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000000000
χ954-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i3−4i4i−4ζ74ζ7−4ζ114ζ11000000000000000000000000000000000000002-2−2i2i0000000000000000−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000000000
χ964-44-4−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i32−2i32+2i3−4i4i−4ζ74ζ7−4ζ114ζ1100000000000000000000000000000000000000-222i−2i00000000000000001−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ11000000000000000000
χ9788-8-88888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8−4−4i3−4+4i3−4−4i3−4+4i34+4i34−4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8−4+4i3−4−4i3−4+4i3−4−4i34−4i34+4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8888-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88−4−4i3−4+4i34+4i34−4i34+4i34−4i3−4−4i3−4+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88−4+4i3−4−4i34−4i34+4i34−4i34+4i3−4+4i3−4−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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