Finite Group Databasebeta

← Group #4281

Character table — Group #4281

Order 168.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1337713377133771337713377133771337713377
order177332141466214146621414662141466214146621414662141466
χ11111111111111111111111111111111111111111
χ2111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32
χ3111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32
χ43−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200
χ53−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200
χ611111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1
χ7111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32
χ8111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32
χ93−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i7200
χ103−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i7200
χ111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ12111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32
χ13111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32
χ143−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i7200
χ153−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200
χ1611111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111
χ17111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32
χ18111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32
χ193−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200
χ203−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32
χ23111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32-1-1-11+i321−i32-1-1-11+i321−i32
χ243−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i7200-31+i721−i7200-31+i721−i7200
χ253−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200-31−i721+i7200-31−i721+i7200
χ2611111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111
χ27111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32
χ28111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32
χ293−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200
χ303−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32
χ33111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32
χ343−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200
χ353−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200
χ3611111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1
χ37111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32
χ38111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32
χ393−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200
χ403−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200

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