Finite Group Databasebeta

← Group #6330

Character table — Group #6330

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size122229366662748888364888836
order133332266662333336333336
χ1111111111111111111111111
χ211111-111111-111111-111111-1
χ322-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ42-12-1-102-12-1-102-12-1-102-12-1-10
χ52-1-12-102-1-12-102-1-12-102-1-12-10
χ62-1-1-1202-1-1-1202-1-1-1202-1-1-120
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ811111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ922-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320
χ102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320
χ112-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320
χ122-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1411111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ1522-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320
χ162-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320
χ172-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320
χ182-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30
χ19333333-1-1-1-1-1-1000000000000
χ2033333-3-1-1-1-1-11000000000000
χ2166-3-3-30-2-21110000000000000
χ226-36-3-30-21-2110000000000000
χ236-3-36-30-211-210000000000000
χ246-3-3-360-2111-20000000000000

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