Finite Group Databasebeta

← Group #6241

Character table — Group #6241

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1113333333311133333333222666666662226666666622266666666
order13333999999266661818181818182666618181818181826666181818181818412121212363636363636
χ11111111111111111111111111111111111111111111111111111111
χ211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ311111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ5111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ6111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ7111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ8111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ9111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ103−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000
χ113−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000
χ12111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ1411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ15111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ16111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ17111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ18111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ19111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ20111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ213−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000-33−3i323+3i3200000000
χ223−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000-33+3i323−3i3200000000
χ231111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ2411111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ26111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ27111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ28111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ29111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ30111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ31111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ323−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000
χ333−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000
χ341111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111
χ3511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ37111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ38111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ39111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−i321+i321+i32-11−i321−i321+i32-1-1-1-11−i321+i321+i32-11−i321−i321+i32-1111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ40111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ41111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11+i321−i321−i32-11+i321+i321−i32-1-1-1-11+i321−i321−i32-11+i321+i321−i32-1111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ42111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ433−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000-33−3i323+3i32000000003−3+3i32−3−3i3200000000
χ443−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000-33+3i323−3i32000000003−3−3i32−3+3i3200000000
χ4522222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000
χ4622222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-2-2-2-21−i31−i31−i31+i31+i31+i3000000000000000000000000000000000
χ4722222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-2-2-21+i31+i31+i31−i31−i31−i3000000000000000000000000000000000
χ48222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-2-2-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000000000000000
χ49222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-2-2-21−i31+i31−i31+i3-21+i3-21−i3000000000000000000000000000000000
χ50222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-2-2-21−i31+i31+i3-21−i31−i31+i3-2000000000000000000000000000000000
χ51222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-2-2-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000000000000000
χ52222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-2-2-21+i31−i31−i3-21+i31+i31−i3-2000000000000000000000000000000000
χ53222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-2-2-21+i31−i31+i31−i3-21−i3-21+i3000000000000000000000000000000000
χ546−3+3i3−3−3i300000000-63−3i33+3i300000000000000000000000000000000000000000
χ556−3−3i3−3+3i300000000-63+3i33−3i300000000000000000000000000000000000000000

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