Finite Group Databasebeta

← Group #10619573

Character table — Group #10619573

Order 648.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111111111111111111333333333333666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212
order12333333336666666699999918181818181841212121212121212363636363636363636363636363636363636999999999999999999181818181818181818181818181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ6111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ8111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ101111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζζ4ζ7ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζζ4ζ7ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8
χ111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ4ζ7ζζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ4ζ7ζζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5
χ121111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32ζ7ζζ4ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ7ζζ4ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2
χ131111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζζ4ζ7ζ4ζ7ζζ7ζζ4ζ2ζ5ζ8ζ5ζ8ζ2ζ8ζ2ζ5ζζ4ζ7ζ4ζ7ζζ7ζζ4ζ2ζ5ζ8ζ5ζ8ζ2ζ8ζ2ζ5
χ141111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ4ζ7ζζ7ζζ4ζζ4ζ7ζ8ζ2ζ5ζ2ζ5ζ8ζ5ζ8ζ2ζ4ζ7ζζ7ζζ4ζζ4ζ7ζ8ζ2ζ5ζ2ζ5ζ8ζ5ζ8ζ2
χ151111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32ζ7ζζ4ζζ4ζ7ζ4ζ7ζζ5ζ8ζ2ζ8ζ2ζ5ζ2ζ5ζ8ζ7ζζ4ζζ4ζ7ζ4ζ7ζζ5ζ8ζ2ζ8ζ2ζ5ζ2ζ5ζ8
χ161111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+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−i32−1−i32111ζζ4ζ7ζ7ζζ4ζ4ζ7ζζ2ζ5ζ8ζ8ζ2ζ5ζ5ζ8ζ2ζζ4ζ7ζ7ζζ4ζ4ζ7ζζ2ζ5ζ8ζ8ζ2ζ5ζ5ζ8ζ2
χ171111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+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−i32−1−i32111ζ4ζ7ζζζ4ζ7ζ7ζζ4ζ8ζ2ζ5ζ5ζ8ζ2ζ2ζ5ζ8ζ4ζ7ζζζ4ζ7ζ7ζζ4ζ8ζ2ζ5ζ5ζ8ζ2ζ2ζ5ζ8
χ181111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+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−i32−1−i32111ζ7ζζ4ζ4ζ7ζζζ4ζ7ζ5ζ8ζ2ζ2ζ5ζ8ζ8ζ2ζ5ζ7ζζ4ζ4ζ7ζζζ4ζ7ζ5ζ8ζ2ζ2ζ5ζ8ζ8ζ2ζ5
χ191111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ4ζζ7ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ4ζζ7
χ201111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζζ7ζ4ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζζ7ζ4
χ211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ7ζ4ζζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ7ζ4ζ
χ221111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−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+i32−1+i32111ζ2ζ8ζ5ζ5ζ2ζ8ζ8ζ5ζ2ζ4ζζ7ζ7ζ4ζζζ7ζ4ζ2ζ8ζ5ζ5ζ2ζ8ζ8ζ5ζ2ζ4ζζ7ζ7ζ4ζζζ7ζ4
χ231111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−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+i32−1+i32111ζ5ζ2ζ8ζ8ζ5ζ2ζ2ζ8ζ5ζζ7ζ4ζ4ζζ7ζ7ζ4ζζ5ζ2ζ8ζ8ζ5ζ2ζ2ζ8ζ5ζζ7ζ4ζ4ζζ7ζ7ζ4ζ
χ241111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−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+i32−1+i32111ζ8ζ5ζ2ζ2ζ8ζ5ζ5ζ2ζ8ζ7ζ4ζζζ7ζ4ζ4ζζ7ζ8ζ5ζ2ζ2ζ8ζ5ζ5ζ2ζ8ζ7ζ4ζζζ7ζ4ζ4ζζ7
χ251111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ2ζ8ζ5ζ8ζ5ζ2ζ5ζ2ζ8ζ4ζζ7ζζ7ζ4ζ7ζ4ζζ2ζ8ζ5ζ8ζ5ζ2ζ5ζ2ζ8ζ4ζζ7ζζ7ζ4ζ7ζ4ζ
χ261111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ5ζ2ζ8ζ2ζ8ζ5ζ8ζ5ζ2ζζ7ζ4ζ7ζ4ζζ4ζζ7ζ5ζ2ζ8ζ2ζ8ζ5ζ8ζ5ζ2ζζ7ζ4ζ7ζ4ζζ4ζζ7
χ271111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32ζ8ζ5ζ2ζ5ζ2ζ8ζ2ζ8ζ5ζ7ζ4ζζ4ζζ7ζζ7ζ4ζ8ζ5ζ2ζ5ζ2ζ8ζ2ζ8ζ5ζ7ζ4ζζ4ζζ7ζζ7ζ4
χ282-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ292-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000001−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ302-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000001+i321+i321+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ312-222222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i3000000000000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ322-222222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i30000000000000000000000000001−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ332-222222222-2-2-2-2-2-2-2-2−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i31+i31+i31+i30000000000000000000000000001+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ342-222222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i3000000000000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ352-222222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i30000000000000000000000000001−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ362-222222222-2-2-2-2-2-2-2-2−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31−i31−i31−i30000000000000000000000000001+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ372-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3000000000000000000000000000−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8ζζ4ζ7ζζ4ζ7ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8
χ382-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3000000000000000000000000000−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5ζ4ζ7ζζ4ζ7ζζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2ζ5
χ392-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i32−1+i3−1−i32−1+i3−1−i3-21−i31+i3-21−i31+i3000000000000000000000000000−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ7−ζ−ζ4−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2−ζ5−ζ8−ζ2ζ7ζζ4ζ7ζζ4ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ2ζ5ζ8ζ2
χ402-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1+i3−1−i32−1−i32−1+i31−i31+i3-21+i3-21−i3000000000000000000000000000−ζ−ζ4−ζ7−ζ4−ζ7−ζ−ζ7−ζ−ζ4−ζ2−ζ5−ζ8−ζ5−ζ8−ζ2−ζ8−ζ2−ζ5ζζ4ζ7ζ4ζ7ζζ7ζζ4ζ2ζ5ζ8ζ5ζ8ζ2ζ8ζ2ζ5
χ412-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1+i3−1−i32−1−i32−1+i31−i31+i3-21+i3-21−i3000000000000000000000000000−ζ4−ζ7−ζ−ζ7−ζ−ζ4−ζ−ζ4−ζ7−ζ8−ζ2−ζ5−ζ2−ζ5−ζ8−ζ5−ζ8−ζ2ζ4ζ7ζζ7ζζ4ζζ4ζ7ζ8ζ2ζ5ζ2ζ5ζ8ζ5ζ8ζ2
χ422-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1+i3−1−i32−1−i32−1+i31−i31+i3-21+i3-21−i3000000000000000000000000000−ζ7−ζ−ζ4−ζ−ζ4−ζ7−ζ4−ζ7−ζ−ζ5−ζ8−ζ2−ζ8−ζ2−ζ5−ζ2−ζ5−ζ8ζ7ζζ4ζζ4ζ7ζ4ζ7ζζ5ζ8ζ2ζ8ζ2ζ5ζ2ζ5ζ8
χ432-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1−i32−1+i3−1+i3−1−i321+i3-21−i31−i31+i3-2000000000000000000000000000−ζ−ζ4−ζ7−ζ7−ζ−ζ4−ζ4−ζ7−ζ−ζ2−ζ5−ζ8−ζ8−ζ2−ζ5−ζ5−ζ8−ζ2ζζ4ζ7ζ7ζζ4ζ4ζ7ζζ2ζ5ζ8ζ8ζ2ζ5ζ5ζ8ζ2
χ442-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1−i32−1+i3−1+i3−1−i321+i3-21−i31−i31+i3-2000000000000000000000000000−ζ4−ζ7−ζ−ζ−ζ4−ζ7−ζ7−ζ−ζ4−ζ8−ζ2−ζ5−ζ5−ζ8−ζ2−ζ2−ζ5−ζ8ζ4ζ7ζζζ4ζ7ζ7ζζ4ζ8ζ2ζ5ζ5ζ8ζ2ζ2ζ5ζ8
χ452-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3−1−i32−1+i3−1+i3−1−i321+i3-21−i31−i31+i3-2000000000000000000000000000−ζ7−ζ−ζ4−ζ4−ζ7−ζ−ζ−ζ4−ζ7−ζ5−ζ8−ζ2−ζ2−ζ5−ζ8−ζ8−ζ2−ζ5ζ7ζζ4ζ4ζ7ζζζ4ζ7ζ5ζ8ζ2ζ2ζ5ζ8ζ8ζ2ζ5
χ462-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3000000000000000000000000000−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ4ζζ7ζ4ζζ7ζ4ζζ7
χ472-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3000000000000000000000000000−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ8ζζ7ζ4ζζ7ζ4ζζ7ζ4
χ482-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i32−1−i3−1+i3-21+i31−i3-21+i31−i3000000000000000000000000000−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ8−ζ5−ζ2−ζ7−ζ4−ζ−ζ7−ζ4−ζ−ζ7−ζ4−ζζ8ζ5ζ2ζ8ζ5ζ2ζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζζ7ζ4ζ
χ492-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1+i32−1−i3−1−i3−1+i321−i3-21+i31+i31−i3-2000000000000000000000000000−ζ2−ζ8−ζ5−ζ5−ζ2−ζ8−ζ8−ζ5−ζ2−ζ4−ζ−ζ7−ζ7−ζ4−ζ−ζ−ζ7−ζ4ζ2ζ8ζ5ζ5ζ2ζ8ζ8ζ5ζ2ζ4ζζ7ζ7ζ4ζζζ7ζ4
χ502-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1+i32−1−i3−1−i3−1+i321−i3-21+i31+i31−i3-2000000000000000000000000000−ζ5−ζ2−ζ8−ζ8−ζ5−ζ2−ζ2−ζ8−ζ5−ζ−ζ7−ζ4−ζ4−ζ−ζ7−ζ7−ζ4−ζζ5ζ2ζ8ζ8ζ5ζ2ζ2ζ8ζ5ζζ7ζ4ζ4ζζ7ζ7ζ4ζ
χ512-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1+i32−1−i3−1−i3−1+i321−i3-21+i31+i31−i3-2000000000000000000000000000−ζ8−ζ5−ζ2−ζ2−ζ8−ζ5−ζ5−ζ2−ζ8−ζ7−ζ4−ζ−ζ−ζ7−ζ4−ζ4−ζ−ζ7ζ8ζ5ζ2ζ2ζ8ζ5ζ5ζ2ζ8ζ7ζ4ζζζ7ζ4ζ4ζζ7
χ522-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1−i3−1+i32−1+i32−1−i31+i31−i3-21−i3-21+i3000000000000000000000000000−ζ2−ζ8−ζ5−ζ8−ζ5−ζ2−ζ5−ζ2−ζ8−ζ4−ζ−ζ7−ζ−ζ7−ζ4−ζ7−ζ4−ζζ2ζ8ζ5ζ8ζ5ζ2ζ5ζ2ζ8ζ4ζζ7ζζ7ζ4ζ7ζ4ζ
χ532-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1−i3−1+i32−1+i32−1−i31+i31−i3-21−i3-21+i3000000000000000000000000000−ζ5−ζ2−ζ8−ζ2−ζ8−ζ5−ζ8−ζ5−ζ2−ζ−ζ7−ζ4−ζ7−ζ4−ζ−ζ4−ζ−ζ7ζ5ζ2ζ8ζ2ζ8ζ5ζ8ζ5ζ2ζζ7ζ4ζ7ζ4ζζ4ζζ7
χ542-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3−1−i3−1+i32−1+i32−1−i31+i31−i3-21−i3-21+i3000000000000000000000000000−ζ8−ζ5−ζ2−ζ5−ζ2−ζ8−ζ2−ζ8−ζ5−ζ7−ζ4−ζ−ζ4−ζ−ζ7−ζ−ζ7−ζ4ζ8ζ5ζ2ζ5ζ2ζ8ζ2ζ8ζ5ζ7ζ4ζζ4ζζ7ζζ7ζ4
χ55333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ56333333333333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ57333333333333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ583333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000000000000000
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χ613333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000000000000000
χ623333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323-1-1-11+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000000000000000000000
χ633333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i323−3+3i323−3−3i32-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000000000000000000000000000000000000
χ6433−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000003−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000
χ6533−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i322ζ2ζ42ζ72ζ2ζ42ζ72ζ2ζ42ζ72ζ22ζ52ζ82ζ22ζ52ζ82ζ22ζ52ζ8000000000000000000000000000000000000
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χ6733−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i322ζ72ζ2ζ42ζ72ζ2ζ42ζ72ζ2ζ42ζ52ζ82ζ22ζ52ζ82ζ22ζ52ζ82ζ2000000000000000000000000000000000000
χ6833−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000000000003−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000000000000000000000000000000000
χ6933−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000-11−i321+i321−i321+i32-11+i32-11−i322ζ2ζ42ζ72ζ42ζ72ζ2ζ72ζ2ζ42ζ22ζ52ζ82ζ52ζ82ζ22ζ82ζ22ζ5000000000000000000000000000000000000
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χ7133−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000-11−i321+i321−i321+i32-11+i32-11−i322ζ72ζ2ζ42ζ2ζ42ζ72ζ42ζ72ζ2ζ52ζ82ζ22ζ82ζ22ζ52ζ22ζ52ζ8000000000000000000000000000000000000
χ7233−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3230000000000003−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000000000000000000000000000000000
χ7333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000-11−i321+i321+i32-11−i321−i321+i32-12ζ2ζ42ζ72ζ72ζ2ζ42ζ42ζ72ζ2ζ22ζ52ζ82ζ82ζ22ζ52ζ52ζ82ζ2000000000000000000000000000000000000
χ7433−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000-11−i321+i321+i32-11−i321−i321+i32-12ζ42ζ72ζ2ζ2ζ42ζ72ζ72ζ2ζ42ζ82ζ22ζ52ζ52ζ82ζ22ζ22ζ52ζ8000000000000000000000000000000000000
χ7533−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000-11−i321+i321+i32-11−i321−i321+i32-12ζ72ζ2ζ42ζ42ζ72ζ2ζ2ζ42ζ72ζ52ζ82ζ22ζ22ζ52ζ82ζ82ζ22ζ5000000000000000000000000000000000000
χ7633−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000003−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000
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χ7833−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i322ζ52ζ22ζ82ζ52ζ22ζ82ζ52ζ22ζ82ζ2ζ72ζ42ζ2ζ72ζ42ζ2ζ72ζ4000000000000000000000000000000000000
χ7933−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i322ζ82ζ52ζ22ζ82ζ52ζ22ζ82ζ52ζ22ζ72ζ42ζ2ζ72ζ42ζ2ζ72ζ42ζ000000000000000000000000000000000000
χ8033−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3230000000000003−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000000000000000000000000000000000
χ8133−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000-11+i321−i321−i32-11+i321+i321−i32-12ζ22ζ82ζ52ζ52ζ22ζ82ζ82ζ52ζ22ζ42ζ2ζ72ζ72ζ42ζ2ζ2ζ72ζ4000000000000000000000000000000000000
χ8233−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000-11+i321−i321−i32-11+i321+i321−i32-12ζ52ζ22ζ82ζ82ζ52ζ22ζ22ζ82ζ52ζ2ζ72ζ42ζ42ζ2ζ72ζ72ζ42ζ000000000000000000000000000000000000
χ8333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000-11+i321−i321−i32-11+i321+i321−i32-12ζ82ζ52ζ22ζ22ζ82ζ52ζ52ζ22ζ82ζ72ζ42ζ2ζ2ζ72ζ42ζ42ζ2ζ7000000000000000000000000000000000000
χ8433−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000000000003−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000000000000000000000000000000000
χ8533−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000-11+i321−i321+i321−i32-11−i32-11+i322ζ22ζ82ζ52ζ82ζ52ζ22ζ52ζ22ζ82ζ42ζ2ζ72ζ2ζ72ζ42ζ72ζ42ζ000000000000000000000000000000000000
χ8633−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000-11+i321−i321+i321−i32-11−i32-11+i322ζ52ζ22ζ82ζ22ζ82ζ52ζ82ζ52ζ22ζ2ζ72ζ42ζ72ζ42ζ2ζ42ζ2ζ7000000000000000000000000000000000000
χ8733−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000-11+i321−i321+i321−i32-11−i32-11+i322ζ82ζ52ζ22ζ52ζ22ζ82ζ22ζ82ζ52ζ72ζ42ζ2ζ42ζ2ζ72ζ2ζ72ζ4000000000000000000000000000000000000
χ886-6−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ896-6−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ906-6−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-6000000000000000000000000000000000000000000000000000000000000000000000000000
χ916-6−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ926-6−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-6000000000000000000000000000000000000000000000000000000000000000000000000000
χ936-6−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.