Finite Group Databasebeta

← Group #4192

Character table — Group #4192

Order 162.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1113333333399999911133333333999999
order13333333333339999266666666666618181818
χ11111111111111111111111111111111111
χ211111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ311111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i3211−1+i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ611111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ711111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ811111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ911111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i3211−1−i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ10333−3+3i32−3−3i32000000000000333−3+3i32−3−3i32000000000000
χ11333−3−3i32−3+3i32000000000000333−3−3i32−3+3i32000000000000
χ123−3+3i32−3−3i3200i33−i32−3−i323+i32−3+i32−i30000003−3+3i32−3−3i3200i33−i32−3−i323+i32−3+i32−i3000000
χ133−3+3i32−3−3i32003−i32−3−i32i3−3+i32−i33+i320000003−3+3i32−3−3i32003−i32−3−i32i3−3+i32−i33+i32000000
χ143−3+3i32−3−3i3200−3−i32i33−i32−i33+i32−3+i320000003−3+3i32−3−3i3200−3−i32i33−i32−i33+i32−3+i32000000
χ153−3−3i32−3+3i32003+i32−3+i32−i3−3−i32i33−i320000003−3−3i32−3+3i32003+i32−3+i32−i3−3−i32i33−i32000000
χ163−3−3i32−3+3i3200−3+i32−i33+i32i33−i32−3−i320000003−3−3i32−3+3i3200−3+i32−i33+i32i33−i32−3−i32000000
χ173−3−3i32−3+3i3200−i33+i32−3+i323−i32−3−i32i30000003−3−3i32−3+3i3200−i33+i32−3+i323−i32−3−i32i3000000
χ1811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1911111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32
χ2011111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32
χ2111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321+i321−i321+i32
χ2211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i3211−1+i32-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321+i321+i32-1-11−i32
χ2311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1−i321-1-1-1-1-11−i321−i321−i321+i321+i321+i321+i321−i32-11−i321+i32-1
χ2411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321−i321+i321−i32
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1+i321-1-1-1-1-11+i321+i321+i321−i321−i321−i321−i321+i32-11+i321−i32-1
χ2611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i3211−1−i32-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321−i321−i32-1-11+i32
χ27333−3+3i32−3−3i32000000000000-3-3-33−3i323+3i32000000000000
χ28333−3−3i32−3+3i32000000000000-3-3-33+3i323−3i32000000000000
χ293−3+3i32−3−3i3200i33−i32−3−i323+i32−3+i32−i3000000-33−3i323+3i3200−i3−3+i323+i32−3−i323−i32i3000000
χ303−3+3i32−3−3i32003−i32−3−i32i3−3+i32−i33+i32000000-33−3i323+3i3200−3+i323+i32−i33−i32i3−3−i32000000
χ313−3+3i32−3−3i3200−3−i32i33−i32−i33+i32−3+i32000000-33−3i323+3i32003+i32−i3−3+i32i3−3−i323−i32000000
χ323−3−3i32−3+3i32003+i32−3+i32−i3−3−i32i33−i32000000-33+3i323−3i3200−3−i323−i32i33+i32−i3−3+i32000000
χ333−3−3i32−3+3i3200−3+i32−i33+i32i33−i32−3−i32000000-33+3i323−3i32003−i32i3−3−i32−i3−3+i323+i32000000
χ343−3−3i32−3+3i3200−i33+i32−3+i323−i32−3−i32i3000000-33+3i323−3i3200i3−3−i323−i32−3+i323+i32−i3000000

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