Finite Group Databasebeta

← Group #6913

Character table — Group #6913

Order 243.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35
size11133333333999999999999999999999999
order13333999999333333339999999999999999
χ111111111111111111111111111111111111
χ21111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ411111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ511111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ611111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ711111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ811111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ911111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ1011111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i321−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32
χ1111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i321−1−i321−1+i3211−1+i32−1−i3211−1+i32
χ1211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1−i32−1−i321−1+i321−1+i32−1+i32−1−i32−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321
χ1311111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32111−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1+i32
χ1411111−1+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−i3211−1+i32−1−i3211−1+i321−1−i321−1+i321−1+i32−1−i321
χ1511111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1−i321−1−i32−1+i32−1+i321−1−i3211−1+i321−1+i32−1+i32−1−i32−1+i321−1−i321−1−i321−1+i32−1−i32
χ1611111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i321−1+i32−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i321−1+i32−1−i32−1−i321−1−i321
χ1711111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32111−1+i32−1−i321−1−i321−1+i32−1−i32−1−i32−1+i321−1+i32−1+i32−1−i32−1+i32−1−i32
χ1811111−1+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−i321−1+i32−1−i3211−1+i32−1−i3211−1−i32−1−i3211−1+i321−1+i32
χ1911111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i321−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32
χ2011111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1+i32−1+i321−1−i321−1−i32−1−i32−1+i32−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1+i321
χ2111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−1+i321−1−i3211−1−i32−1+i3211−1−i32
χ2211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i321−1−i32−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i321−1−i32−1+i32−1+i321−1+i321
χ2311111−1−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+i321−1−i32−1+i3211−1−i32−1+i3211−1+i32−1+i3211−1−i321−1−i32
χ2411111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1+i32111−1−i32−1+i321−1+i321−1−i32−1+i32−1+i32−1−i321−1−i32−1−i32−1+i32−1−i32−1+i32
χ2511111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32111−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1−i32
χ2611111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1+i321−1+i32−1−i32−1−i321−1+i3211−1−i321−1−i32−1−i32−1+i32−1−i321−1+i321−1+i321−1−i32−1+i32
χ2711111−1−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+i3211−1−i32−1+i3211−1−i321−1+i321−1−i321−1−i32−1+i321
χ28333−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000
χ29333−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000000000000
χ30333−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000000000000
χ31333−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000
χ32333−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000000000000
χ33333−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000000000000
χ349−9+9i32−9−9i3200000000000000000000000000000000
χ359−9−9i32−9+9i3200000000000000000000000000000000

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