Finite Group Databasebeta

← Group #250

Character table — Group #250

Order 48.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111111111111111111111111111111111111111111111111
order133266266266266266266266266266266266266266266266
χ1111111111111111111111111111111111111111111111111
χ21−1+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−i321−1+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−i321−1+i32−1−i321−1+i32−1−i32
χ31−1−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+i321−1−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+i321−1−i32−1+i321−1−i32−1+i32
χ4111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1
χ51−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ61−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32
χ7111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ81−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ91−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ10111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ111−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32
χ121−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32
χ151−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ16111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-1111
χ171−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ181−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ19111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ201−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32
χ211−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ22111-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1
χ231−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ241−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261−1+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−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32
χ271−1−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+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ28111-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111
χ291−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32
χ301−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32
χ31111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32
χ331−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ34111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1
χ351−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32
χ361−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ381−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ391−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ40111-1-1-1111-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111111-1-1-1111-1-1-1
χ411−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ421−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32
χ43111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ441−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ451−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ46111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1111
χ471−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32
χ481−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32

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