Finite Group Databasebeta

← Group #162

Character table — Group #162

Order 36.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size111111111111111111111111111111111111
order133333333266666666266666666266666666
χ1111111111111111111111111111111111111
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−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+i32
χ4111−1+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
χ51−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ61−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ7111−1−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
χ81−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ91−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ10111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ121−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ13111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ141−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32
χ151−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1
χ16111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ171−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1
χ181−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201−1+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
χ211−1−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
χ22111−1+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+i32-1-1-11−i321−i321−i321+i321+i321+i32
χ231−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i32
χ241−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1-11+i321−i321−i32-11+i321+i321−i32-1
χ25111−1−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−i32-1-1-11+i321+i321+i321−i321−i321−i32
χ261−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1-11−i321+i321+i32-11−i321−i321+i32-1
χ271−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32-11+i321−i321+i321−i32-11−i32-11+i32
χ28111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291−1+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+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ301−1−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−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ31111−1+i32−1+i32−1+i32−1−i32−1−i32−1−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
χ321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32-11−i321+i321−i321+i32-11+i32-11−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ331−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1-11+i321−i321−i32-11+i321+i321−i32-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ34111−1−i32−1−i32−1−i32−1+i32−1+i32−1+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
χ351−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1-11−i321+i321+i32-11−i321−i321+i32-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ361−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32-11+i321−i321+i321−i32-11−i32-11+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32

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