Finite Group Databasebeta

← Group #6908

Character table — Group #6908

Order 243.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size111111111333333333333333333333333999999999999999999
order133999999333333339999999999999999333333999999999999
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
χ411111111111−1+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−i321−1+i32−1−i321−1+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−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−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ611111111111−1+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−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ711111111111−1−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+i321−1−i32−1+i321−1−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−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+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ911111111111−1−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+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ10111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+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−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ11111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+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−i321−1−i321−1+i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321
χ12111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+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−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32
χ13111−1+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−i32−1−i32−1−i32111111−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i32−1−i32−1+i321−1−i321−1+i32−1−i32−1+i321−1−i321
χ14111−1+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−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i321−1−i32−1+i321−1+i321−1+i321−1−i32−1+i32−1−i32
χ15111−1+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−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i321−1+i321−1−i32−1+i32−1−i32−1−i321−1−i32−1+i321−1+i32
χ16111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32
χ17111−1+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−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−i3211−1−i32−1−i3211−1+i32−1+i3211−1+i32
χ18111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1+i3211−1+i32−1−i3211−1−i32−1−i321
χ19111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−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+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ20111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−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+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32
χ21111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−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+i321−1+i321−1−i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321
χ22111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32
χ23111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1−i3211−1−i32−1+i3211−1+i32−1+i321
χ24111−1−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+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+i3211−1+i32−1+i3211−1−i32−1−i3211−1−i32
χ25111−1−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+i32−1+i32−1+i32111111−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i32−1+i32−1−i321−1+i321−1−i32−1+i32−1−i321−1+i321
χ26111−1−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+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321−1−i321−1+i32−1−i32−1+i32−1+i321−1+i32−1−i321−1−i32
χ27111−1−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+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i321−1+i32−1−i321−1−i321−1−i321−1+i32−1−i32−1+i32
χ28333333333−3+3i32−3−3i32000000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000
χ29333333333−3−3i32−3+3i32000000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000
χ30333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i32000000−3−3i3233−3+3i32000000000000000000000000000000
χ31333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i320000003−3−3i32−3+3i323000000000000000000000000000000
χ32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i320000003−3+3i32−3−3i323000000000000000000000000000000
χ33333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i32000000−3+3i3233−3−3i32000000000000000000000000000000
χ343−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800i33−i32−3−i323+i32−3+i32−i30000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000
χ353−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8003−i32−3−i32i3−3+i32−i33+i320000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000
χ363−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800−3−i32i33−i32−i33+i32−3+i320000−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000
χ373−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500i33−i32−3−i323+i32−3+i32−i30000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000
χ383−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5003−i32−3−i32i3−3+i32−i33+i320000ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000
χ393−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500−3−i32i33−i32−i33+i32−3+i320000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000
χ403−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200i33−i32−3−i323+i32−3+i32−i30000ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000
χ413−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2003−i32−3−i32i3−3+i32−i33+i320000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000
χ423−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200−3−i32i33−i32−i33+i32−3+i320000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000
χ433−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7003+i32−3+i32−i3−3−i32i33−i3200002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000000000
χ443−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ700−3+i32−i33+i32i33−i32−3−i320000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000000000
χ453−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ700−i33+i32−3+i323−i32−3−i32i30000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000000000
χ463−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4003+i32−3+i32−i3−3−i32i33−i320000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000000000
χ473−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ400−3+i32−i33+i32i33−i32−3−i320000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000000000
χ483−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ400−i33+i32−3+i323−i32−3−i32i300002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000000000
χ493−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ003+i32−3+i32−i3−3−i32i33−i320000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000000000
χ503−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ00−3+i32−i33+i32i33−i32−3−i3200002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000000000
χ513−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ00−i33+i32−3+i323−i32−3−i32i30000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000000000

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