Finite Group Databasebeta

← Group #11757838

Character table — Group #11757838

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11133333333333333333999999999999999999999999999999363636363636363636363636363636363636
order13323333333366666666333333666666666666666666666666999999999999999999
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
χ411111111111111111111−1+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−i32−1−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
χ511111111111111111111−1+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−i32−1−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
χ611111111111111111111−1+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−i32−1−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
χ711111111111111111111−1−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+i32−1+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
χ811111111111111111111−1−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+i32−1+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
χ911111111111111111111−1−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+i32−1+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
χ10111111−1+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−i3211−1+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−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ11111111−1+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−i3211−1+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+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32
χ12111111−1+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−i3211−1+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−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ13111111−1+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+i3211−1+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+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ14111111−1+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+i3211−1+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−i321−1−i321−1+i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321
χ15111111−1+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+i3211−1+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−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32
χ16111111−1+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−i32111−1+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−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ17111111−1+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−i32111−1+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−i3211−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32
χ18111111−1+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−i32111−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32
χ19111111−1−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+i3211−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ20111111−1−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+i3211−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ21111111−1−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+i3211−1−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−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ22111111−1−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+i32111−1−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+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ23111111−1−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+i32111−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32
χ24111111−1−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+i32111−1−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+i3211−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32
χ25111111−1−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−i3211−1−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−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ26111111−1−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−i3211−1−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+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32
χ27111111−1−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−i3211−1−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+i321−1+i321−1−i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321
χ283333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3233333333000000−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000
χ293333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000−3+3i32−3−3i32−3−3i3233−3+3i32000000000000000000000000000000000000
χ303333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000−3+3i32−3−3i323−3+3i32−3−3i323000000000000000000000000000000000000
χ313333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3233333333000000−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000
χ323333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32000000−3−3i32−3+3i323−3−3i32−3+3i323000000000000000000000000000000000000
χ333333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32000000−3−3i32−3+3i32−3+3i3233−3−3i32000000000000000000000000000000000000
χ34333-133333333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ35333-133333333-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000
χ36333-133333333-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000
χ37333-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000
χ38333-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3−3i323−3−3i323−3+3i32-1-11−i321−i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32000000000000000000
χ39333-133−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3−3i323−3+3i32−3+3i32−3−3i323-1-11−i321−i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1000000000000000000
χ40333-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000
χ41333-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3+3i323−3−3i32−3−3i32−3+3i323-1-11+i321+i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000
χ42333-133−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3+3i323−3+3i323−3−3i32-1-11+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000000000000000000
χ43333-1−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-1-1-10000001−i321+i321−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000
χ44333-1−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-1-1-10000001−i321+i321−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3000000000000000000
χ45333-1−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-1-1-10000001−i321+i321−i321+i321−i321+i32−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32000000000000000000
χ46333-1−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32-1-11−i321−i321−i321+i321+i321+i320000001−i321+i321+i32-1-11−i322−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000000000000000000
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χ619−9+9i32−9−9i32900000000−9+9i32−9−9i32000000000000000000000000000000000000000000000000000000
χ629−9+9i32−9−9i32-3000000003−3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3000000000000000000000000000000000000000000000000
χ639−9+9i32−9−9i32-3000000003−3i323+3i32−3+3i3−3−3i36−3−3i36−3+3i3000000000000000000000000000000000000000000000000
χ649−9+9i32−9−9i32-3000000003−3i323+3i32−3−3i36−3+3i3−3+3i3−3−3i36000000000000000000000000000000000000000000000000
χ659−9−9i32−9+9i32900000000−9−9i32−9+9i32000000000000000000000000000000000000000000000000000000
χ669−9−9i32−9+9i32-3000000003+3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3000000000000000000000000000000000000000000000000
χ679−9−9i32−9+9i32-3000000003+3i323−3i32−3+3i36−3−3i3−3−3i3−3+3i36000000000000000000000000000000000000000000000000
χ689−9−9i32−9+9i32-3000000003+3i323−3i32−3−3i3−3+3i36−3+3i36−3−3i3000000000000000000000000000000000000000000000000

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