Finite Group Databasebeta

← Group #14516650

Character table — Group #14516650

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111222333333666666666181818181818181818272727272727272727111222333333666666666181818181818181818272727272727272727111222333333666666666181818181818181818272727272727272727111222333333666666666181818181818181818272727272727272727
order133333333333333333333999999999266666666266666666666666666666181818181818181818266666666266666666666666666666181818181818181818266666666266666666666666666666181818181818181818266666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111−1+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−i32111111−1+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−i32111111−1+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−i32111111−1+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
χ4111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111−1−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+i32111111−1−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+i32111111−1−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+i32111111−1−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
χ6111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000
χ8222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ9222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ10222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000
χ11222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000
χ12222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000
χ13222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000
χ14222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000
χ15222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000
χ16222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000
χ17222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000
χ18222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000
χ193−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
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χ213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
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χ45111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ46222222222222222222222-1-1-1-1-1-1-1-1-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111000000000
χ47222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000000000-2-2-2-2-2-21−i31−i31−i31+i31+i31+i3-2-2-21−i31−i31−i31+i31+i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ48222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000000000-2-2-2-2-2-21+i31+i31+i31−i31−i31−i3-2-2-21+i31+i31+i31−i31−i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ49222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5000000000
χ50222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8000000000
χ51222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000222-1-1-12222222-1-1-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000000-2-2-2111-2-2-2-2-2-2-211111111−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ2−ζ7000000000
χ52222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ2−ζ4−ζ−ζ5−ζ7−ζ8−ζ5−ζ7−ζ4−ζ8−ζ−ζ2000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ4ζ+ζ5ζ7+ζ8ζ5+ζ7ζ4+ζ8ζ+ζ2000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ2−ζ4−ζ−ζ5−ζ7−ζ8−ζ5−ζ7−ζ4−ζ8−ζ−ζ2000000000
χ53222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ5−ζ7−ζ8−ζ2−ζ4−ζ4−ζ8−ζ−ζ2−ζ5−ζ7000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ5ζ7+ζ8ζ2+ζ4ζ4+ζ8ζ+ζ2ζ5+ζ7000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ−ζ5−ζ7−ζ8−ζ2−ζ4−ζ4−ζ8−ζ−ζ2−ζ5−ζ7000000000
χ54222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ7−ζ8−ζ2−ζ4−ζ−ζ5−ζ−ζ2−ζ5−ζ7−ζ4−ζ8000000000222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-11−i321−i321−i321+i321+i321+i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ7+ζ8ζ2+ζ4ζ+ζ5ζ+ζ2ζ5+ζ7ζ4+ζ8000000000-2-2-21111−i31−i31−i31+i31+i31+i3-211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ7−ζ8−ζ2−ζ4−ζ−ζ5−ζ−ζ2−ζ5−ζ7−ζ4−ζ8000000000
χ55222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ5−ζ7−ζ4−ζ8−ζ−ζ2−ζ2−ζ4−ζ−ζ5−ζ7−ζ8000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ+ζ8ζ2+ζ7ζ4+ζ5ζ5+ζ7ζ4+ζ8ζ+ζ2ζ2+ζ4ζ+ζ5ζ7+ζ8000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ−ζ8−ζ2−ζ7−ζ4−ζ5−ζ5−ζ7−ζ4−ζ8−ζ−ζ2−ζ2−ζ4−ζ−ζ5−ζ7−ζ8000000000
χ56222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ4−ζ8−ζ−ζ2−ζ5−ζ7−ζ−ζ5−ζ7−ζ8−ζ2−ζ4000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ8ζ+ζ2ζ5+ζ7ζ+ζ5ζ7+ζ8ζ2+ζ4000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ2−ζ7−ζ4−ζ5−ζ−ζ8−ζ4−ζ8−ζ−ζ2−ζ5−ζ7−ζ−ζ5−ζ7−ζ8−ζ2−ζ4000000000
χ57222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ−ζ2−ζ5−ζ7−ζ4−ζ8−ζ7−ζ8−ζ2−ζ4−ζ−ζ5000000000222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-11+i321+i321+i321−i321−i321−i32ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ2ζ5+ζ7ζ4+ζ8ζ7+ζ8ζ2+ζ4ζ+ζ5000000000-2-2-21111+i31+i31+i31−i31−i31−i3-211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ζ4−ζ5−ζ−ζ8−ζ2−ζ7−ζ−ζ2−ζ5−ζ7−ζ4−ζ8−ζ7−ζ8−ζ2−ζ4−ζ−ζ5000000000
χ583−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-33−3i323+3i32-33−3i323+3i32−i3−3+i323+i32−3−i323−i32i3000−i3−3+i323+i32−3−i323−i32i3000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-33−3i323+3i32-33−3i323+3i32−i3−3+i323+i32−3−i323−i32i3000−i3−3+i323+i32−3−i323−i32i3000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ593−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i3000000000-11−i321+i32-11−i321+i32-11−i321+i32-33−3i323+3i32-33−3i323+3i32−i3−3+i323+i32−3−i323−i32i3000−i3−3+i323+i32−3−i323−i32i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000i33−i32−3−i323+i32−3+i32−i3000000000-11−i321+i32-11−i321+i32-11−i321+i32-33−3i323+3i32-33−3i323+3i32−i3−3+i323+i32−3−i323−i32i3000−i3−3+i323+i32−3−i323−i32i30000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ603−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-33−3i323+3i32-33−3i323+3i32−3+i323+i32−i33−i32i3−3−i32000−3+i323+i32−i33−i32i3−3−i32000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-33−3i323+3i32-33−3i323+3i32−3+i323+i32−i33−i32i3−3−i32000−3+i323+i32−i33−i32i3−3−i32000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ613−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i32000000000-11−i321+i321+i32-11−i321−i321+i32-1-33−3i323+3i32-33−3i323+3i32−3+i323+i32−i33−i32i3−3−i32000−3+i323+i32−i33−i32i3−3−i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i323−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320003−i32−3−i32i3−3+i32−i33+i32000000000-11−i321+i321+i32-11−i321−i321+i32-1-33−3i323+3i32-33−3i323+3i32−3+i323+i32−i33−i32i3−3−i32000−3+i323+i32−i33−i32i3−3−i320000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
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χ1556−3−3i3−3+3i3-33+3i323−3i32−3+i3−2i33+i32i33−i3−3−i30003−i32i3−3−i32−i3−3+i323+i32000000000000000000-63+3i33−3i33−3−3i32−3+3i323−i32i3−3−i3−2i3−3+i33+i3000−3+i32−i33+i32i33−i32−3−i32000000000000000000-63+3i33−3i33−3−3i32−3+3i323−i32i3−3−i3−2i3−3+i33+i3000−3+i32−i33+i32i33−i32−3−i320000000000000000006−3−3i3−3+3i3-33+3i323−3i32−3+i3−2i33+i32i33−i3−3−i30003−i32i3−3−i32−i3−3+i323+i32000000000000000000
χ1566−3−3i3−3+3i3-33+3i323−3i32−2i33+i3−3+i33−i3−3−i32i3000i3−3−i323−i32−3+i323+i32−i3000000000000000000-63+3i33−3i33−3−3i32−3+3i322i3−3−i33−i3−3+i33+i3−2i3000−i33+i32−3+i323−i32−3−i32i3000000000000000000-63+3i33−3i33−3−3i32−3+3i322i3−3−i33−i3−3+i33+i3−2i3000−i33+i32−3+i323−i32−3−i32i30000000000000000006−3−3i3−3+3i3-33+3i323−3i32−2i33+i3−3+i33−i3−3−i32i3000i3−3−i323−i32−3+i323+i32−i3000000000000000000

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