Finite Group Databasebeta

← Group #736

Character table — Group #736

Order 81.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size111333333331113333333311133333333
order133339999993333399999933333999999
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
χ1211111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32
χ1411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ15111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32
χ16111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321
χ17111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32
χ18111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ19111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32
χ20111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32
χ213−3+3i32−3−3i3200000000−3+3i32−3−3i32300000000−3−3i323−3+3i3200000000
χ223−3−3i32−3+3i3200000000−3+3i323−3−3i3200000000−3−3i32−3+3i32300000000
χ2311111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ2411111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32
χ26111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ27111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32
χ28111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32
χ29111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ30111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32
χ31111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321
χ323−3+3i32−3−3i3200000000−3−3i323−3+3i3200000000−3+3i32−3−3i32300000000
χ333−3−3i32−3+3i3200000000−3−3i32−3+3i32300000000−3+3i323−3−3i3200000000

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