Finite Group Databasebeta

← Group #66697

Character table — Group #66697

Order 336.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size13377133772661414266141426614141337713377266141426614142661414
order17733214146642828121242828121242828121221414662141466428281212428281212428281212
χ111111111111111111111111111111111111111111111111111
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−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+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+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−i72003−1+i72−1−i72003−1+i72−1−i7200
χ6111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1
χ7111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32
χ8111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32
χ93−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i7200
χ103−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200
χ111111111111-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-111111-1-1-1-1-1
χ12111−1+i32−1−i32111−1+i32−1−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+i32111−1+i32−1−i32-1-1-11−i321+i32
χ13111−1−i32−1+i32111−1−i32−1+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−i32111−1−i32−1+i32-1-1-11+i321−i32
χ143−1−i72−1+i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i7200
χ153−1+i72−1−i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i7200
χ161111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111
χ17111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32
χ18111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32
χ193−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200
χ203−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200
χ2122222-2-2-2-2-200000000000000022222-2-2-2-2-2000000000000000
χ22222−1+i3−1−i3-2-2-21−i31+i3000000000000000222−1+i3−1−i3-2-2-21−i31+i3000000000000000
χ23222−1−i3−1+i3-2-2-21+i31−i3000000000000000222−1−i3−1+i3-2-2-21+i31−i3000000000000000
χ246−1−i7−1+i700-61+i71−i7000000000000000006−1−i7−1+i700-61+i71−i700000000000000000
χ256−1+i7−1−i700-61−i71+i7000000000000000006−1+i7−1−i700-61−i71+i700000000000000000
χ261111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ27111−1+i32−1−i32111−1+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+i32-1-1-11−i321+i32
χ28111−1−i32−1+i32111−1−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−i32-1-1-11+i321−i32
χ293−1−i72−1+i72003−1−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−i7200-31+i721−i7200
χ303−1+i72−1−i72003−1+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+i7200-31−i721+i7200
χ31111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ32111−1+i32−1−i32111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32111−1+i32−1−i32
χ33111−1−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−i32-1-1-11+i321−i32111−1−i32−1+i32111−1−i32−1+i32
χ343−1−i72−1+i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−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−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200-31−i721+i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200
χ361111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111
χ37111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+i32-1-1-11−i321+i32111−1+i32−1−i32-1-1-11−i321+i32111−1+i32−1−i32
χ38111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−i32-1-1-11+i321−i32111−1−i32−1+i32-1-1-11+i321−i32111−1−i32−1+i32
χ393−1−i72−1+i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i72003−1−i72−1+i7200
χ403−1+i72−1−i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i72003−1+i72−1−i7200
χ411111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1
χ42111−1+i32−1−i32111−1+i32−1−i32-1-1-11−i321+i32-1-1-11−i321+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
χ43111−1−i32−1+i32111−1−i32−1+i32-1-1-11+i321−i32-1-1-11+i321−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
χ443−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i7200-31+i721−i7200-31+i721−i72003−1−i72−1+i72003−1−i72−1+i7200-31+i721−i7200
χ453−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i7200-31−i721+i7200-31−i721+i72003−1+i72−1−i72003−1+i72−1−i7200-31−i721+i7200
χ4622222-2-2-2-2-2000000000000000-2-2-2-2-222222000000000000000
χ47222−1+i3−1−i3-2-2-21−i31+i3000000000000000-2-2-21−i31+i3222−1+i3−1−i3000000000000000
χ48222−1−i3−1+i3-2-2-21+i31−i3000000000000000-2-2-21+i31−i3222−1−i3−1+i3000000000000000
χ496−1−i7−1+i700-61+i71−i700000000000000000-61+i71−i7006−1−i7−1+i700000000000000000
χ506−1+i7−1−i700-61−i71+i700000000000000000-61−i71+i7006−1+i7−1−i700000000000000000

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