Finite Group Databasebeta

← Group #6897

Character table — Group #6897

Order 243.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size111111111333333333333333333333333999999999999999999
order133333333999999999999999999999999339999999999999999
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111−1+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
χ3111111111111111111111111111111111−1−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
χ4111111111111111−1+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−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ5111111111111111−1+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+i32−1−i32−1−i32−1−i32111−1−i32−1−i32111−1+i32−1+i32−1+i32
χ6111111111111111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ7111111111111111−1−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+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ8111111111111111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ9111111111111111−1−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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32111−1−i32−1−i32−1−i32
χ10111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ11111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i321−1+i32
χ12111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+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+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ13111111111−1+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−i32111−1+i32−1+i32−1+i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ14111111111−1+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−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321
χ15111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1−i321−1+i321−1+i32−1−i32
χ16111111111−1+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−i3211111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ17111111111−1+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−i32111−1+i32−1−i32−1−i3211−1+i32−1−i32−1−i321−1+i321−1+i32−1+i32−1−i3211−1+i32−1−i32
χ18111111111−1+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−i32111−1−i32−1+i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i3211−1+i32−1−i32−1−i321−1+i32
χ19111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ20111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ21111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−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+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i321−1−i32
χ22111111111−1−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+i3211111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ23111111111−1−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+i32111−1+i32−1−i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i3211−1−i32−1+i32−1+i321−1−i32
χ24111111111−1−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+i32111−1−i32−1+i32−1+i3211−1−i32−1+i32−1+i321−1−i321−1−i32−1−i32−1+i3211−1−i32−1+i32
χ25111111111−1−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+i32111−1−i32−1−i32−1−i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ26111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1+i321−1−i321−1−i32−1+i32
χ27111111111−1−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+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321
χ28333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000003ζ3ζ43ζ70003ζ23ζ53ζ8000000000000000000000
χ29333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000003ζ43ζ73ζ0003ζ83ζ23ζ5000000000000000000000
χ30333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000000003ζ73ζ3ζ40003ζ53ζ83ζ2000000000000000000000
χ31333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000003ζ23ζ83ζ50003ζ43ζ3ζ7000000000000000000000
χ32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000003ζ53ζ23ζ80003ζ3ζ73ζ4000000000000000000000
χ33333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000000003ζ83ζ53ζ20003ζ73ζ43ζ000000000000000000000
χ343−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ3ζ43ζ70000000003ζ23ζ53ζ8000000000000000000
χ353−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ43ζ73ζ0000000003ζ83ζ23ζ5000000000000000000
χ363−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ73ζ3ζ40000000003ζ53ζ83ζ2000000000000000000
χ373−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000003ζ3ζ43ζ70000003ζ23ζ53ζ8000000000000000000000000
χ383−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000003ζ43ζ73ζ0000003ζ83ζ23ζ5000000000000000000000000
χ393−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320000003ζ73ζ3ζ40000003ζ53ζ83ζ2000000000000000000000000
χ403−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000000000
χ413−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000000000
χ423−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000000000
χ433−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ23ζ83ζ50000000003ζ43ζ3ζ7000000000000000000
χ443−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ53ζ23ζ80000000003ζ3ζ73ζ4000000000000000000
χ453−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ83ζ53ζ20000000003ζ73ζ43ζ000000000000000000
χ463−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000000000
χ473−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000000000
χ483−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000000000
χ493−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000003ζ23ζ83ζ50000003ζ43ζ3ζ7000000000000000000000000
χ503−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000003ζ53ζ23ζ80000003ζ3ζ73ζ4000000000000000000000000
χ513−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320000003ζ83ζ53ζ20000003ζ73ζ43ζ000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.