Finite Group Databasebeta

← Group #4199

Character table — Group #4199

Order 162.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size111333333332226666666633399999999
order133333333333333333333326666666666
χ1111111111111111111111111111111111
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−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+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−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+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−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+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+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−i32
χ103−3+3i32−3−3i32000000003−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000
χ113−3−3i32−3+3i32000000003−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−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+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−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+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−i321-1-1-11−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+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+i321-1-1-11+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−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ213−3+3i32−3−3i32000000003−3+3i32−3−3i3200000000-33−3i323+3i3200000000
χ223−3−3i32−3+3i32000000003−3−3i32−3+3i3200000000-33+3i323−3i3200000000
χ2322222222222-1-1-1-1-1-1-1-1-1-1-100000000000
χ2422222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-11−i321−i321−i321+i321+i321+i3200000000000
χ2522222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-11+i321+i321+i321−i321−i321−i3200000000000
χ26222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321+i32-11−i321+i32-11−i321+i3200000000000
χ27222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321+i321−i321+i32-11+i32-11−i3200000000000
χ28222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-11−i321+i321+i32-11−i321−i321+i32-100000000000
χ29222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321−i32-11+i321−i32-11+i321−i3200000000000
χ30222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-11+i321−i321−i32-11+i321+i321−i32-100000000000
χ31222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321−i321+i321−i32-11−i32-11+i3200000000000
χ326−3+3i3−3−3i300000000-33−3i323+3i320000000000000000000
χ336−3−3i3−3+3i300000000-33+3i323−3i320000000000000000000

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