Finite Group Databasebeta

← Group #74

Character table — Group #74

Order 24.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size111111111111111111111111
order133266266266266266266266
χ1111111111111111111111111
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−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+i32
χ4111-1-1-1111-1-1-1111-1-1-1111-1-1-1
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+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−i32
χ7111111-1-1-1-1-1-1111111-1-1-1-1-1-1
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+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−i32
χ10111-1-1-1-1-1-1111111-1-1-1-1-1-1111
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−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+i32
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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+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−i32
χ16111-1-1-1111-1-1-1-1-1-1111-1-1-1111
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−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+i32
χ19111111-1-1-1-1-1-1-1-1-1-1-1-1111111
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−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+i32
χ22111-1-1-1-1-1-1111-1-1-1111111-1-1-1
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+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−i32

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