Finite Group Databasebeta

← Group #72277159

Character table — Group #72277159

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109
size1122222224444666677778888121212121212141414141414141414141414141424242424242424242424242428282828282828282828282828282828282828282828282828282828282828285656565656565656565656565656565656565656
order122222222224471414143366244414141414141466666666666666141414142828282828282828222244446666666666661212121212121212121212124444661212121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111-1-1-1-1-1-1-1-1−1+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+i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ711111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111−1+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−i3211-1-1-1-1-1-111-1-111111111−1+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+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+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ811111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111−1+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−i3211-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1−1+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+i3211111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ911111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ1011111111111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111-1-1-1-1-1-1-1-1−1−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−i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ1111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111−1−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+i3211-1-1-1-1-1-111-1-111111111−1−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−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−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ1211111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111−1−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+i3211-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1−1−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−i3211111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ13111111111-1-1-1-11111111111-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ14111111111-1-1-1-11111111111-1-111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111
χ15111111111-1-1-1-111111111-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ16111111111-1-1-1-111111111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ17111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1111111−1+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−i32-1-111-1-1-1-1-1-11111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ18111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1111111−1+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−i32-1-111-1-1-1-1-1-111-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ19111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32-1-111111111−1+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−i32-1-1-1-11111-1-1-1-111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−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−i32
χ20111111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32-1-111111111−1+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−i32-1-1-1-11111-1-1-1-1-1-111-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ21111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1111111−1−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+i32-1-111-1-1-1-1-1-11111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ22111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1111111−1−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+i32-1-111-1-1-1-1-1-111-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ23111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32-1-111111111−1−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+i32-1-1-1-11111-1-1-1-111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+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+i32
χ24111111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32-1-111111111−1−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+i32-1-1-1-11111-1-1-1-1-1-111-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ2511-1-1-1-11111-11-1111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11-1-1-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-111-1-11-11-11-11-11-11-1
χ2611-1-1-1-11111-11-1111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-11-1-1-1-11-11-11-111-11-1-11-11-11-111-11-1-11-11-11-11-11-1111-1-11-11-1-11-11-11-11
χ2711-1-1-1-11111-11-111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111-1111-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1-11-11-1-111-11-11-11-11-11-11
χ2811-1-1-1-11111-11-111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111-111-11-11-11-111-11-1-11-11-11-111-11-1-11-11-11-111-11-1-1-111-11-111-11-11-11-1
χ2911-1-1-1-11111-11-11111−1+i32−1−i32−1+i32−1−i321-11-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11111-1-11-1-1-11-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3011-1-1-1-11111-11-11111−1+i32−1−i32−1+i32−1−i321-11-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-11111-1-11-1-1-1-11-11-11-11−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3111-1-1-1-11111-11-11111−1+i32−1−i32−1+i32−1−i32-11-1111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1111-1111-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32-11-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3211-1-1-1-11111-11-11111−1+i32−1−i32−1+i32−1−i32-11-1111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1-1-1-1111-111-11-11-11-11−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321-11-11−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3311-1-1-1-11111-11-11111−1−i32−1+i32−1−i32−1+i321-11-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11111-1-11-1-1-11-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3411-1-1-1-11111-11-11111−1−i32−1+i32−1−i32−1+i321-11-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-11111-1-11-1-1-1-11-11-11-11−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3511-1-1-1-11111-11-11111−1−i32−1+i32−1−i32−1+i32-11-1111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1111-1111-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32-11-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3611-1-1-1-11111-11-11111−1−i32−1+i32−1−i32−1+i32-11-1111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1-1-1-1111-111-11-11-11-11−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321-11-11+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3711-1-1-1-1111-11-11111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-11-1-11-1-111-1-11-11-111-1-111-1-11-11-111-1-111-1-111-1-1111-1-1-11-111-1-111-1-11
χ3811-1-1-1-1111-11-11111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-11-1-1-111-1-111-1-11-11-111-1-111-1-11-11-111-1-111-1-111-111-1-1-11-11-111-1-111-1
χ3911-1-1-1-1111-11-1111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-11111-1-111-1-11-11-111-1-111-1-11-11-111-1-111-1-11-111-1-1-1111-11-1-111-1-111-1
χ4011-1-1-1-1111-11-1111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1111-111-1-111-1-11-11-111-1-111-1-11-11-111-1-111-11-1-11-1-1111-11-11-1-111-1-11
χ4111-1-1-1-1111-11-111111−1+i32−1−i32−1+i32−1−i321-1-1111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1111-1-111-11-1-11-1-111-1-111−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4211-1-1-1-1111-11-111111−1+i32−1−i32−1+i32−1−i321-1-1111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1111-1-111-11-1-1-111-1-111-11−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-1−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4311-1-1-1-1111-11-111111−1+i32−1−i32−1+i32−1−i32-111-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-111-1-1-11111-1-111-1-111−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32-111-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4411-1-1-1-1111-11-111111−1+i32−1−i32−1+i32−1−i32-111-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-111-1-1-1111-111-1-111-11−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321-1-111−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4511-1-1-1-1111-11-111111−1−i32−1+i32−1−i32−1+i321-1-1111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1111-1-111-11-1-11-1-111-1-111+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4611-1-1-1-1111-11-111111−1−i32−1+i32−1−i32−1+i321-1-1111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1111-1-111-11-1-1-111-1-111-11+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-1−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4711-1-1-1-1111-11-111111−1−i32−1+i32−1−i32−1+i32-111-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-111-1-1-11111-1-111-1-111+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32-111-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4811-1-1-1-1111-11-111111−1−i32−1+i32−1−i32−1+i32-111-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-111-1-1-1111-111-1-111-11+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321-1-111+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ492222-2-22-2-222-2-2222222220000-2-222-2-222-2-222-2-22-2-22-2-222000000-2-20000000000222200000000-2-2-2-20000000000000000000000000000
χ502222-2-22-2-222-2-22222−1+i3−1−i3−1+i3−1−i30000-2-222-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i322000000-2-20000000000−1+i3−1+i3−1−i3−1−i3000000001−i31−i31+i31+i30000000000000000000000000000
χ512222-2-22-2-222-2-22222−1−i3−1+i3−1−i3−1+i30000-2-222-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i322000000-2-20000000000−1−i3−1−i3−1+i3−1+i3000000001+i31+i31−i31−i30000000000000000000000000000
χ522222-2-22-2-2-2-222222222220000-2-222-2-222-2-222-2-22-2-22-2-2-2-2000000220000000000-2-2-2-20000000022220000000000000000000000000000
χ532222-2-22-2-2-2-2222222−1+i3−1−i3−1+i3−1−i30000-2-222-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3-2-20000002200000000001−i31−i31+i31+i300000000−1+i3−1+i3−1−i3−1−i30000000000000000000000000000
χ542222-2-22-2-2-2-2222222−1−i3−1+i3−1−i3−1+i30000-2-222-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3-2-20000002200000000001+i31+i31−i31−i300000000−1−i3−1−i3−1+i3−1+i30000000000000000000000000000
χ55222-22-2-22-200002-2-22222200002-22-22-22-22-22-22-2-22-2-22-2000000000000002200-2-2000000220022000000-2-200-2-200000000000000000000
χ56222-22-2-22-200002-2-22222200002-22-22-22-22-22-22-2-22-2-22-200000000000000-2-20022000000-2-200-2-200000022002200000000000000000000
χ57222-22-2-22-200002-2-22−1+i3−1−i3−1+i3−1−i300002-22-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i3000000000000002200-2-2000000−1+i3−1+i300−1−i3−1−i30000001−i31−i3001+i31+i300000000000000000000
χ58222-22-2-22-200002-2-22−1+i3−1−i3−1+i3−1−i300002-22-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i300000000000000-2-200220000001−i31−i3001+i31+i3000000−1+i3−1+i300−1−i3−1−i300000000000000000000
χ59222-22-2-22-200002-2-22−1−i3−1+i3−1−i3−1+i300002-22-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i3000000000000002200-2-2000000−1−i3−1−i300−1+i3−1+i30000001+i31+i3001−i31−i300000000000000000000
χ60222-22-2-22-200002-2-22−1−i3−1+i3−1−i3−1+i300002-22-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i300000000000000-2-200220000001+i31+i3001−i31−i3000000−1−i3−1−i300−1+i3−1+i300000000000000000000
χ61222-2-22-2-2200002-2-2222220000-222-2-222-2-222-2-22-2-22-2-220000000000002200-2-2000000220022000000-2-200-2-20000000000000000000000
χ62222-2-22-2-2200002-2-2222220000-222-2-222-2-222-2-22-2-22-2-22000000000000-2-20022000000-2-200-2-20000002200220000000000000000000000
χ63222-2-22-2-2200002-2-22−1+i3−1−i3−1+i3−1−i30000-222-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i30000000000002200-2-2000000−1+i3−1+i300−1−i3−1−i30000001−i31−i3001+i31+i30000000000000000000000
χ64222-2-22-2-2200002-2-22−1+i3−1−i3−1+i3−1−i30000-222-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3000000000000-2-200220000001−i31−i3001+i31+i3000000−1+i3−1+i300−1−i3−1−i30000000000000000000000
χ65222-2-22-2-2200002-2-22−1−i3−1+i3−1−i3−1+i30000-222-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i30000000000002200-2-2000000−1−i3−1−i300−1+i3−1+i30000001+i31+i3001−i31−i30000000000000000000000
χ66222-2-22-2-2200002-2-22−1−i3−1+i3−1−i3−1+i30000-222-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3000000000000-2-200220000001+i31+i3001−i31−i3000000−1−i3−1−i300−1+i3−1+i30000000000000000000000
χ6722-222-2-2-2200002-2-2222220000-22-222-2-222-2-222-2-2-22-2-220000000000002-200-220000002-2002-2000000-2200-220000000000000000000000
χ6822-222-2-2-2200002-2-2222220000-22-222-2-222-2-222-2-2-22-2-22000000000000-22002-2000000-2200-220000002-2002-20000000000000000000000
χ6922-222-2-2-2200002-2-22−1+i3−1−i3−1+i3−1−i30000-22-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i31−i31−i3−1+i31+i31+i3−1−i30000000000002-200-22000000−1+i31−i300−1−i31+i30000001−i3−1+i3001+i3−1−i30000000000000000000000
χ7022-222-2-2-2200002-2-22−1+i3−1−i3−1+i3−1−i30000-22-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i31−i31−i3−1+i31+i31+i3−1−i3000000000000-22002-20000001−i3−1+i3001+i3−1−i3000000−1+i31−i300−1−i31+i30000000000000000000000
χ7122-222-2-2-2200002-2-22−1−i3−1+i3−1−i3−1+i30000-22-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i31+i31+i3−1−i31−i31−i3−1+i30000000000002-200-22000000−1−i31+i300−1+i31−i30000001+i3−1−i3001−i3−1+i30000000000000000000000
χ7222-222-2-2-2200002-2-22−1−i3−1+i3−1−i3−1+i30000-22-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i31+i31+i3−1−i31−i31−i3−1+i3000000000000-22002-20000001+i3−1−i3001−i3−1+i3000000−1−i31+i300−1+i31−i30000000000000000000000
χ7322-22-22-22-200002-2-22222200002-2-22-22-22-22-22-22-22-2-22-2000000000000002-200-220000002-2002-2000000-2200-2200000000000000000000
χ7422-22-22-22-200002-2-22222200002-2-22-22-22-22-22-22-22-2-22-200000000000000-22002-2000000-2200-220000002-2002-200000000000000000000
χ7522-22-22-22-200002-2-22−1+i3−1−i3−1+i3−1−i300002-2-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i3000000000000002-200-22000000−1+i31−i300−1−i31+i30000001−i3−1+i3001+i3−1−i300000000000000000000
χ7622-22-22-22-200002-2-22−1+i3−1−i3−1+i3−1−i300002-2-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i31+i3−1−i31+i300000000000000-22002-20000001−i3−1+i3001+i3−1−i3000000−1+i31−i300−1−i31+i300000000000000000000
χ7722-22-22-22-200002-2-22−1−i3−1+i3−1−i3−1+i300002-2-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i3000000000000002-200-22000000−1−i31+i300−1+i31−i30000001+i3−1−i3001−i3−1+i300000000000000000000
χ7822-22-22-22-200002-2-22−1−i3−1+i3−1−i3−1+i300002-2-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i31−i3−1+i31−i300000000000000-22002-20000001+i3−1−i3001−i3−1+i3000000−1−i31+i300−1+i31−i300000000000000000000
χ7922-2-2222-2-22-2-22222222220000-2-2-2-222-2-222-2-2222-2-22-2-22-2000000-2200000000002-22-200000000-22-220000000000000000000000000000
χ8022-2-2222-2-22-2-222222−1+i3−1−i3−1+i3−1−i30000-2-2-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i31−i31−i3−1−i31+i31+i32-2000000-220000000000−1+i31−i3−1−i31+i3000000001−i3−1+i31+i3−1−i30000000000000000000000000000
χ8122-2-2222-2-22-2-222222−1−i3−1+i3−1−i3−1+i30000-2-2-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i31+i31+i3−1+i31−i31−i32-2000000-220000000000−1−i31+i3−1+i31−i3000000001+i3−1−i31−i3−1+i30000000000000000000000000000
χ8222-2-2222-2-2-222-2222222220000-2-2-2-222-2-222-2-2222-2-22-2-2-220000002-20000000000-22-22000000002-22-20000000000000000000000000000
χ8322-2-2222-2-2-222-22222−1+i3−1−i3−1+i3−1−i30000-2-2-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i31−i31−i3−1−i31+i31+i3-220000002-200000000001−i3−1+i31+i3−1−i300000000−1+i31−i3−1−i31+i30000000000000000000000000000
χ8422-2-2222-2-2-222-22222−1−i3−1+i3−1−i3−1+i30000-2-2-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i31+i31+i3−1+i31−i31−i3-220000002-200000000001+i3−1−i31−i3−1+i300000000−1−i31+i3−1+i31−i30000000000000000000000000000
χ856666666666666-1-1-1-100006666-1-1-1-1-1-100000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ866666666666666-1-1-1-10000-6-6-6-6-1-1-1-1-1-100000000000000-1-1111111-1-1110000000000000000000000000000000000000000000000000000
χ87666666666-6-6-6-6-1-1-1-1000066-6-6-1-1-1-1-1-10000000000000011-1-1111111-1-10000000000000000000000000000000000000000000000000000
χ88666666666-6-6-6-6-1-1-1-10000-6-666-1-1-1-1-1-1000000000000001111-1-1-1-111110000000000000000000000000000000000000000000000000000
χ896666-6-66-6-666-6-6-1-1-1-10000000011-1-11100000000000000-1-1−i7i7−i7i7−i7i711−i7i70000000000000000000000000000000000000000000000000000
χ906666-6-66-6-666-6-6-1-1-1-10000000011-1-11100000000000000-1-1i7−i7i7−i7i7−i711i7−i70000000000000000000000000000000000000000000000000000
χ916666-6-66-6-6-6-666-1-1-1-10000000011-1-1110000000000000011−i7i7i7−i7i7−i7-1-1−i7i70000000000000000000000000000000000000000000000000000
χ926666-6-66-6-6-6-666-1-1-1-10000000011-1-1110000000000000011i7−i7−i7i7−i7i7-1-1i7−i70000000000000000000000000000000000000000000000000000
χ9366-6-6666-6-66-6-66-1-1-1-1000000001111-1-100000000000000-11−i7i7−i7i7i7−i71-1i7−i70000000000000000000000000000000000000000000000000000
χ9466-6-6666-6-66-6-66-1-1-1-1000000001111-1-100000000000000-11i7−i7i7−i7−i7i71-1−i7i70000000000000000000000000000000000000000000000000000
χ9566-6-6666-6-6-666-6-1-1-1-1000000001111-1-1000000000000001-1−i7i7i7−i7−i7i7-11i7−i70000000000000000000000000000000000000000000000000000
χ9666-6-6666-6-6-666-6-1-1-1-1000000001111-1-1000000000000001-1i7−i7−i7i7i7−i7-11−i7i70000000000000000000000000000000000000000000000000000
χ9766-6-6-6-66666-66-6-1-1-1-100006-66-6-1-1111100000000000000-11-1-1-1-111-11110000000000000000000000000000000000000000000000000000
χ9866-6-6-6-66666-66-6-1-1-1-10000-66-66-1-1111100000000000000-111111-1-1-11-1-10000000000000000000000000000000000000000000000000000
χ9966-6-6-6-6666-66-66-1-1-1-100006-6-66-1-11111000000000000001-1-1-111-1-11-1110000000000000000000000000000000000000000000000000000
χ10066-6-6-6-6666-66-66-1-1-1-10000-666-6-1-11111000000000000001-111-1-1111-1-1-10000000000000000000000000000000000000000000000000000
χ1018-800000000000800-888-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-800000000000800-8−4+4i3−4−4i34−4i34+4i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-800000000000800-8−4−4i3−4+4i34+4i34−4i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ104121212-1212-12-1212-120000-222-200000000-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ105121212-12-1212-12-12120000-222-2000000002-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1061212-121212-12-12-12120000-222-2000000002-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1071212-1212-1212-1212-120000-222-200000000-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10824-2400000000000-4−4i74i7400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10924-2400000000000-44i7−4i7400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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