Finite Group Databasebeta

← Group #11757430

Character table — Group #11757430

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11133333333333333333999999999999999999999999999999363636363636363636363636363636363636
order133233669999991818181818186618181818272727272727545454545454545454545454545454545454999999272727272727272727272727
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ511111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ611111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−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
χ711111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ811111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+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
χ911111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ101111−1+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−i3211−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζζ4ζ7ζ2ζ5ζ8ζ2ζ5ζ81−1+i32−1−i321−1+i32−1−i32ζζ4ζ7
χ111111−1+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−i3211−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζ4ζ7ζζ8ζ2ζ5ζ5ζ8ζ2−1+i32−1−i321−1−i321−1+i32ζ7ζζ4
χ121111−1+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−i3211−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8ζζζζ4ζ4ζ4ζ7ζ7ζ7ζ2ζ2ζ2ζ5ζ5ζ5ζ8ζ8ζ8ζ7ζζ4ζ5ζ8ζ2ζ8ζ2ζ5−1−i321−1+i32−1+i32−1−i321ζ4ζ7ζ
χ131111−1+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−i3211−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζζ4ζ7ζ2ζ5ζ8ζ5ζ8ζ2−1−i321−1+i32−1+i32−1−i321ζ7ζζ4
χ141111−1+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−i3211−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ4ζ7ζζ8ζ2ζ5ζ8ζ2ζ51−1+i32−1−i321−1+i32−1−i32ζ4ζ7ζ
χ151111−1+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−i3211−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5ζ4ζ4ζ4ζ7ζ7ζ7ζζζζ8ζ8ζ8ζ2ζ2ζ2ζ5ζ5ζ5ζ7ζζ4ζ5ζ8ζ2ζ2ζ5ζ8−1+i32−1−i321−1−i321−1+i32ζζ4ζ7
χ161111−1+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−i3211−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζζ4ζ7ζ2ζ5ζ8ζ8ζ2ζ5−1+i32−1−i321−1−i321−1+i32ζ4ζ7ζ
χ171111−1+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−i3211−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ4ζ7ζζ8ζ2ζ5ζ2ζ5ζ8−1−i321−1+i32−1+i32−1−i321ζζ4ζ7
χ181111−1+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−i3211−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2ζ7ζ7ζ7ζζζζ4ζ4ζ4ζ5ζ5ζ5ζ8ζ8ζ8ζ2ζ2ζ2ζ7ζζ4ζ5ζ8ζ2ζ5ζ8ζ21−1+i32−1−i321−1+i32−1−i32ζ7ζζ4
χ191111−1−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+i3211−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ2ζ8ζ5ζ4ζζ7ζ4ζζ71−1−i32−1+i321−1−i32−1+i32ζ2ζ8ζ5
χ201111−1−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+i3211−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ5ζ2ζ8ζζ7ζ4ζ7ζ4ζ−1+i321−1−i32−1−i32−1+i321ζ8ζ5ζ2
χ211111−1−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+i3211−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7ζ2ζ2ζ2ζ8ζ8ζ8ζ5ζ5ζ5ζ4ζ4ζ4ζζζζ7ζ7ζ7ζ8ζ5ζ2ζ7ζ4ζζζ7ζ4−1−i32−1+i321−1+i321−1−i32ζ5ζ2ζ8
χ221111−1−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+i3211−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ2ζ8ζ5ζ4ζζ7ζ7ζ4ζ−1−i32−1+i321−1+i321−1−i32ζ8ζ5ζ2
χ231111−1−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+i3211−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ5ζ2ζ8ζζ7ζ4ζζ7ζ41−1−i32−1+i321−1−i32−1+i32ζ5ζ2ζ8
χ241111−1−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+i3211−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4ζ5ζ5ζ5ζ2ζ2ζ2ζ8ζ8ζ8ζζζζ7ζ7ζ7ζ4ζ4ζ4ζ8ζ5ζ2ζ7ζ4ζζ4ζζ7−1+i321−1−i32−1−i32−1+i321ζ2ζ8ζ5
χ251111−1−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+i3211−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ2ζ8ζ5ζ4ζζ7ζζ7ζ4−1+i321−1−i32−1−i32−1+i321ζ5ζ2ζ8
χ261111−1−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+i3211−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ5ζ2ζ8ζζ7ζ4ζ4ζζ7−1−i32−1+i321−1+i321−1−i32ζ2ζ8ζ5
χ271111−1−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+i3211−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζζ8ζ8ζ8ζ5ζ5ζ5ζ2ζ2ζ2ζ7ζ7ζ7ζ4ζ4ζ4ζζζζ8ζ5ζ2ζ7ζ4ζζ7ζ4ζ1−1−i32−1+i321−1−i32−1+i32ζ8ζ5ζ2
χ2833333333−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3233−3+3i32−3−3i32−3−3i32−3+3i32000000000000000000000000000000000000000000
χ2933333333−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i32000000000000000000000000000000000000000000
χ303333−3+3i32−3−3i323333−3−3i32−3+3i32−3−3i32−3+3i32333333−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000
χ313333−3+3i32−3−3i3233−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i3233000000000000000000000000000000000000000000
χ323333−3−3i32−3+3i323333−3+3i32−3−3i32−3+3i32−3−3i32333333−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000
χ333333−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i32−3+3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i3233000000000000000000000000000000000000000000
χ34333-133-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ35333-133-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000
χ36333-133-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000
χ37333-133-1-1−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i321−i321−i321−i321+i321+i321+i32-1-11−i321+i321+i321−i320000002ζ2ζ42ζ72ζ2ζ42ζ72ζ2ζ42ζ72ζ22ζ52ζ82ζ22ζ52ζ82ζ22ζ52ζ8000000000000000000
χ38333-133-1-1−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i321−i321−i321−i321+i321+i321+i32-1-11−i321+i321+i321−i320000002ζ42ζ72ζ2ζ42ζ72ζ2ζ42ζ72ζ2ζ82ζ22ζ52ζ82ζ22ζ52ζ82ζ22ζ5000000000000000000
χ39333-133-1-1−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i321−i321−i321−i321+i321+i321+i32-1-11−i321+i321+i321−i320000002ζ72ζ2ζ42ζ72ζ2ζ42ζ72ζ2ζ42ζ52ζ82ζ22ζ52ζ82ζ22ζ52ζ82ζ2000000000000000000
χ40333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i321+i321+i321+i321−i321−i321−i32-1-11+i321−i321−i321+i320000002ζ22ζ82ζ52ζ22ζ82ζ52ζ22ζ82ζ52ζ42ζ2ζ72ζ42ζ2ζ72ζ42ζ2ζ7000000000000000000
χ41333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i321+i321+i321+i321−i321−i321−i32-1-11+i321−i321−i321+i320000002ζ52ζ22ζ82ζ52ζ22ζ82ζ52ζ22ζ82ζ2ζ72ζ42ζ2ζ72ζ42ζ2ζ72ζ4000000000000000000
χ42333-133-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i321+i321+i321+i321−i321−i321−i32-1-11+i321−i321−i321+i320000002ζ82ζ52ζ22ζ82ζ52ζ22ζ82ζ52ζ22ζ72ζ42ζ2ζ72ζ42ζ2ζ72ζ42ζ000000000000000000
χ43333-1−3+3i32−3−3i32-1-133−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11−i321+i321+i321−i321+i321−i320000002−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000000000000000000
χ44333-1−3+3i32−3−3i32-1-133−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11−i321+i321+i321−i321+i321−i32000000−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3000000000000000000
χ45333-1−3+3i32−3−3i32-1-133−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-11−i321+i321+i321−i321+i321−i32000000−1−i3−1+i322−1−i3−1+i3−1+i32−1−i3−1+i32−1−i3−1−i3−1+i322−1−i3−1+i3000000000000000000
χ46333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i3233−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321−i321+i32-1-11−i321+i323ζ3ζ43ζ73ζ23ζ53ζ8−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8000000000000000000
χ47333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i3233−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321−i321+i32-1-11−i321+i323ζ43ζ73ζ3ζ83ζ23ζ5−ζ4−ζ4−ζ4−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2−ζ5−ζ5−ζ5000000000000000000
χ48333-1−3+3i32−3−3i32-1-1−3+3i32−3−3i3233−3+3i32−3−3i321−i321−i321−i321+i321+i321+i321−i321+i32-1-11−i321+i323ζ73ζ3ζ43ζ53ζ83ζ2−ζ7−ζ7−ζ7−ζ−ζ−ζ−ζ4−ζ4−ζ4−ζ5−ζ5−ζ5−ζ8−ζ8−ζ8−ζ2−ζ2−ζ2000000000000000000
χ49333-1−3+3i32−3−3i32-1-1−3−3i32−3+3i32−3+3i32−3−3i32331+i321+i321+i321−i321−i321−i321−i321+i321−i321+i32-1-10000002ζ22ζ52ζ82ζ52ζ82ζ22ζ82ζ22ζ52ζ42ζ72ζ2ζ72ζ2ζ42ζ2ζ42ζ7000000000000000000
χ50333-1−3+3i32−3−3i32-1-1−3−3i32−3+3i32−3+3i32−3−3i32331+i321+i321+i321−i321−i321−i321−i321+i321−i321+i32-1-10000002ζ52ζ82ζ22ζ82ζ22ζ52ζ22ζ52ζ82ζ2ζ42ζ72ζ42ζ72ζ2ζ72ζ2ζ4000000000000000000
χ51333-1−3+3i32−3−3i32-1-1−3−3i32−3+3i32−3+3i32−3−3i32331+i321+i321+i321−i321−i321−i321−i321+i321−i321+i32-1-10000002ζ82ζ22ζ52ζ22ζ52ζ82ζ52ζ82ζ22ζ72ζ2ζ42ζ2ζ42ζ72ζ42ζ72ζ000000000000000000
χ52333-1−3−3i32−3+3i32-1-133−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11+i321−i321−i321+i321−i321+i320000002−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000000000000000000
χ53333-1−3−3i32−3+3i32-1-133−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11+i321−i321−i321+i321−i321+i32000000−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3000000000000000000
χ54333-1−3−3i32−3+3i32-1-133−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-11+i321−i321−i321+i321−i321+i32000000−1−i32−1+i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1−i32−1+i3000000000000000000
χ55333-1−3−3i32−3+3i32-1-1−3+3i32−3−3i32−3−3i32−3+3i32331−i321−i321−i321+i321+i321+i321+i321−i321+i321−i32-1-10000002ζ2ζ72ζ42ζ72ζ42ζ2ζ42ζ2ζ72ζ22ζ82ζ52ζ82ζ52ζ22ζ52ζ22ζ8000000000000000000
χ56333-1−3−3i32−3+3i32-1-1−3+3i32−3−3i32−3−3i32−3+3i32331−i321−i321−i321+i321+i321+i321+i321−i321+i321−i32-1-10000002ζ42ζ2ζ72ζ2ζ72ζ42ζ72ζ42ζ2ζ82ζ52ζ22ζ52ζ22ζ82ζ22ζ82ζ5000000000000000000
χ57333-1−3−3i32−3+3i32-1-1−3+3i32−3−3i32−3−3i32−3+3i32331−i321−i321−i321+i321+i321+i321+i321−i321+i321−i32-1-10000002ζ72ζ42ζ2ζ42ζ2ζ72ζ2ζ72ζ42ζ52ζ22ζ82ζ22ζ82ζ52ζ82ζ52ζ2000000000000000000
χ58333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i3233−3−3i32−3+3i321+i321+i321+i321−i321−i321−i321+i321−i32-1-11+i321−i323ζ23ζ83ζ53ζ43ζ3ζ7−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ4−ζ4−ζ4−ζ−ζ−ζ−ζ7−ζ7−ζ7000000000000000000
χ59333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i3233−3−3i32−3+3i321+i321+i321+i321−i321−i321−i321+i321−i32-1-11+i321−i323ζ53ζ23ζ83ζ3ζ73ζ4−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ8−ζ8−ζ8−ζ−ζ−ζ−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4000000000000000000
χ60333-1−3−3i32−3+3i32-1-1−3−3i32−3+3i3233−3−3i32−3+3i321+i321+i321+i321−i321−i321−i321+i321−i32-1-11+i321−i323ζ83ζ53ζ23ζ73ζ43ζ−ζ8−ζ8−ζ8−ζ5−ζ5−ζ5−ζ2−ζ2−ζ2−ζ7−ζ7−ζ7−ζ4−ζ4−ζ4−ζ−ζ−ζ000000000000000000
χ619−9+9i32−9−9i32900−9+9i32−9−9i32000000000000000000000000000000000000000000000000000000000000
χ629−9+9i32−9−9i32-3003−3i323+3i320000006ζ6ζ46ζ76ζ26ζ56ζ8000000000000000000000000000000000000000000000000
χ639−9+9i32−9−9i32-3003−3i323+3i320000006ζ46ζ76ζ6ζ86ζ26ζ5000000000000000000000000000000000000000000000000
χ649−9+9i32−9−9i32-3003−3i323+3i320000006ζ76ζ6ζ46ζ56ζ86ζ2000000000000000000000000000000000000000000000000
χ659−9−9i32−9+9i32900−9−9i32−9+9i32000000000000000000000000000000000000000000000000000000000000
χ669−9−9i32−9+9i32-3003+3i323−3i320000006ζ26ζ86ζ56ζ46ζ6ζ7000000000000000000000000000000000000000000000000
χ679−9−9i32−9+9i32-3003+3i323−3i320000006ζ56ζ26ζ86ζ6ζ76ζ4000000000000000000000000000000000000000000000000
χ689−9−9i32−9+9i32-3003+3i323−3i320000006ζ86ζ56ζ26ζ76ζ46ζ000000000000000000000000000000000000000000000000

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