Finite Group Databasebeta

← Group #11722553

Character table — Group #11722553

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1111112222222223333333333333333333333666666666666666666666666666666666121212121212121212121212242424242424242424242424242424242424
order1233664441212121212122266669918181818181818181818181818184441212121212123636363636363636363636363636363636363636363636363366999918181818121212121212363636363636363636363636
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+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−i321111−1+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
χ5111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+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−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+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
χ6111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+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−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211−1+i32−1−i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−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+i321111−1−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
χ8111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−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+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−1−i32−1+i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−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+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−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
χ101111111-1-111-1-1-1-111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-11-1-11-1-11-1-11-1-1
χ111111111-1-111-1-1-1-111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32
χ121111111-1-111-1-1-1-111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32
χ131111111-1-111-1-1-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-11-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ141111111-1-111-1-1-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+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−i3211−1+i32−1−i3211−1+i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i321-1-11-1-1−1+i321−i321−i32
χ151111111-1-111-1-1-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+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+i321−1+i32−1−i3211−1+i32−1−i321−1−i321+i321+i32−1+i321−i321−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-1-1
χ161111111-1-111-1-1-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-11-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ171111111-1-111-1-1-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−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−i321−1−i32−1+i3211−1−i32−1+i321−1+i321−i321−i32−1−i321+i321+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-1-1
χ181111111-1-111-1-1-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−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+i3211−1−i32−1+i3211−1−i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i321-1-11-1-1−1−i321+i321+i32
χ19111111-11-1-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-1-11-1-11-1-11-1-11-1-11-1
χ20111111-11-1-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32
χ21111111-11-1-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32
χ22111111-11-1-1-111-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-11-1-1-111-1-11−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+i321+i321+i321+i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ23111111-11-1-1-111-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-11-1-1-111-1-11−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+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32-11-1-11-11−i32−1+i321−i32
χ24111111-11-1-1-111-1-1111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-11-1-1-111-1-11−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+i321+i321+i321+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211−1+i32−1−i3211+i32−1−i321+i321−i32−1+i321−i32-11-11−i32−1+i321−i321+i32−1−i321+i32-11-1
χ25111111-11-1-1-111-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-11-1-1-111-1-11+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−i321−i321−i321−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ26111111-11-1-1-111-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-11-1-1-111-1-11+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−i321−i321−i321−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−1−i32−1+i3211−i32−1+i321−i321+i32−1−i321+i32-11-11+i32−1−i321+i321−i32−1+i321−i32-11-1
χ27111111-11-1-1-111-1-1111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-11-1-1-111-1-11+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−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32-11-1-11-11+i32−1−i321+i32
χ28111111-1-11-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-11-1-11-1-11-1-11
χ29111111-1-11-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32
χ30111111-1-11-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32
χ31111111-1-11-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-11-1-1-1-1111−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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ32111111-1-11-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1-11-1-1-1-1111−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−i3211−1+i32−1−i3211−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32-1-11-1-111−i321−i32−1+i32
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χ8433−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i32002ζ52ζ22ζ82ζ52ζ22ζ82ζ2ζ72ζ42ζ2ζ72ζ4001-11−1−i32−1+i321+i321−i32−1−i32−1+i320−2ζ5−2ζ2−2ζ802ζ52ζ22ζ80−2ζ5−2ζ2−2ζ80−2ζ−2ζ7−2ζ402ζ2ζ72ζ40−2ζ−2ζ7−2ζ4000000000000000000000000000000
χ8533−3−3i32−3+3i32−3−3i32−3+3i32-33-33+3i323−3i32−3−3i32−3+3i323+3i323−3i32-1-11+i321−i321+i321−i32002ζ82ζ52ζ22ζ82ζ52ζ22ζ72ζ42ζ2ζ72ζ42ζ001-11−1−i32−1+i321+i321−i32−1−i32−1+i320−2ζ8−2ζ5−2ζ202ζ82ζ52ζ20−2ζ8−2ζ5−2ζ20−2ζ7−2ζ4−2ζ02ζ72ζ42ζ0−2ζ7−2ζ4−2ζ000000000000000000000000000000
χ8633−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000
χ8733−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32002ζ22ζ82ζ52ζ22ζ82ζ52ζ42ζ2ζ72ζ42ζ2ζ70011-1−1−i32−1+i32−1−i32−1+i321+i321−i320−2ζ2−2ζ8−2ζ50−2ζ2−2ζ8−2ζ502ζ22ζ82ζ50−2ζ4−2ζ−2ζ70−2ζ4−2ζ−2ζ702ζ42ζ2ζ7000000000000000000000000000000
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χ8933−3−3i32−3+3i32−3−3i32−3+3i32-3-333+3i323−3i323+3i323−3i32−3−3i32−3+3i32-1-11+i321−i321+i321−i32002ζ82ζ52ζ22ζ82ζ52ζ22ζ72ζ42ζ2ζ72ζ42ζ0011-1−1−i32−1+i32−1−i32−1+i321+i321−i320−2ζ8−2ζ5−2ζ20−2ζ8−2ζ5−2ζ202ζ82ζ52ζ20−2ζ7−2ζ4−2ζ0−2ζ7−2ζ4−2ζ02ζ72ζ42ζ000000000000000000000000000000
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χ916-666-6-6000000000-22-2-222−3+3i3−3−3i31−i31−i31−i3−1+i3−1+i3−1+i31+i31+i31+i3−1−i3−1−i3−1−i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000
χ926-666-6-6000000000-22-2-222−3−3i3−3+3i31+i31+i31+i3−1−i3−1−i3−1−i31−i31−i31−i3−1+i3−1+i3−1+i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000
χ936-6−3+3i3−3−3i33−3i33+3i30000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ966-6−3+3i3−3−3i33−3i33+3i3000000000-221−i31+i3−1+i3−1−i3004ζ74ζ4ζ4−4ζ7−4ζ−4ζ44ζ54ζ84ζ2−4ζ5−4ζ8−4ζ200000000000000000000000000000000000000000000000000000000000000000
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χ986-6−3−3i3−3+3i33+3i33−3i3000000000-221+i31−i3−1−i3−1+i3004ζ24ζ84ζ5−4ζ2−4ζ8−4ζ54ζ44ζ4ζ7−4ζ4−4ζ−4ζ700000000000000000000000000000000000000000000000000000000000000000
χ996-6−3−3i3−3+3i33+3i33−3i3000000000-221+i31−i3−1−i3−1+i3004ζ54ζ24ζ8−4ζ5−4ζ2−4ζ84ζ4ζ74ζ4−4ζ−4ζ7−4ζ400000000000000000000000000000000000000000000000000000000000000000
χ1006-6−3−3i3−3+3i33+3i33−3i3000000000-221+i31−i3−1−i3−1+i3004ζ84ζ54ζ2−4ζ8−4ζ5−4ζ24ζ74ζ44ζ−4ζ7−4ζ4−4ζ00000000000000000000000000000000000000000000000000000000000000000

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