Finite Group Databasebeta

← Group #14518164

Character table — Group #14518164

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size126666991818272727361818181827275454818181482424242436367272108108108482424242436367272108108108
order1339993333266266181818666626633399933336663339993333666
χ11111111111111111111111111111111111111111111111111111
χ21111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-1
χ3111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ4111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ5111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ6111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ7222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000222-1-1-122-1-1000
χ8222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000
χ9222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000
χ1066-3000000000066-3000000000066-3000000000066-30000000000
χ116-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500000006-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500000006-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500000006-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000
χ126-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500000006-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500000006-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500000006-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000
χ136-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500000006-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500000006-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500000006-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000
χ1411111111111111111111111111−1+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−i32−1−i32
χ151111111111-1-1-11111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ16111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32
χ17111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321+i32-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i32-11−i32
χ18111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321
χ19111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i32-11+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321−i32-1
χ20222-1-1-122-1-1000222-1-1-122-1-1000−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000
χ21222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000−1+i3−1+i3−1+i31−i321−i321−i32−1−i321+i32-1000−1−i3−1−i3−1−i31+i321+i321+i322−1+i3-11−i32000
χ22222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000−1+i3−1+i3−1+i31−i321−i321−i322−1−i3-11+i32000−1−i3−1−i3−1−i31+i321+i321+i32−1+i321−i32-1000
χ2366-3000000000066-30000000000−3+3i3−3+3i33−3i320000000000−3−3i3−3−3i33+3i320000000000
χ246-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500000006-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000−3+3i33−3i320−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ50000000−3−3i33+3i320ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ50000000
χ256-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500000006-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000−3+3i33−3i320ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ50000000−3−3i33+3i320−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ50000000
χ266-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500000006-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000−3+3i33−3i320ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ50000000−3−3i33+3i320ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ50000000
χ2711111111111111111111111111−1−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+i32−1+i32
χ281111111111-1-1-11111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ29111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321
χ30111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32-11−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321+i32-1
χ31111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32
χ32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32-11+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321−i32-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i32-11+i32
χ33222-1-1-122-1-1000222-1-1-122-1-1000−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000
χ34222-1-1-1−1+i3−1−i31−i321+i32000222-1-1-1−1+i3−1−i31−i321+i32000−1−i3−1−i3−1−i31+i321+i321+i322−1+i3-11−i32000−1+i3−1+i3−1+i31−i321−i321−i32−1−i321+i32-1000
χ35222-1-1-1−1−i3−1+i31+i321−i32000222-1-1-1−1−i3−1+i31+i321−i32000−1−i3−1−i3−1−i31+i321+i321+i32−1+i321−i32-1000−1+i3−1+i3−1+i31−i321−i321−i322−1−i3-11+i32000
χ3666-3000000000066-30000000000−3−3i3−3−3i33+3i320000000000−3+3i3−3+3i33−3i320000000000
χ376-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ500000006-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ50000000−3−3i33+3i320ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ50000000−3+3i33−3i320−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ50000000
χ386-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ500000006-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ50000000−3−3i33+3i320−2ζ−ζ2−ζ4+ζ5ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ50000000−3+3i33−3i320ζ+2ζ2+2ζ4+ζ5ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ50000000
χ396-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ500000006-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ50000000−3−3i33+3i320ζ−ζ2+2ζ4−2ζ5ζ+2ζ2−ζ4+ζ5−2ζ−ζ2−ζ4+ζ50000000−3+3i33−3i320ζ−ζ2−ζ4+ζ5−2ζ−ζ2−ζ4−2ζ5ζ+2ζ2+2ζ4+ζ50000000
χ403333333333333-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ413333333333-3-3-3-1-1-1-1-1-1-1-1-1-111100000000000000000000000000
χ42333333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3200000000000000000000000000
χ43333333−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i3200000000000000000000000000
χ44333333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3200000000000000000000000000
χ45333333−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i3200000000000000000000000000
χ46666-3-3-366-3-3000-2-2-2111-2-21100000000000000000000000000000
χ47666-3-3-3−3+3i3−3−3i33−3i323+3i32000-2-2-21111−i31+i3−1+i32−1−i3200000000000000000000000000000
χ48666-3-3-3−3−3i3−3+3i33+3i323−3i32000-2-2-21111+i31−i3−1−i32−1+i3200000000000000000000000000000
χ491818-90000000000-6-63000000000000000000000000000000000000
χ5018-903ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ50000000-630−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5000000000000000000000000000000000
χ5118-903ζ−3ζ2−3ζ4−6ζ5−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ50000000-630−ζ+ζ2+ζ4+2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5000000000000000000000000000000000
χ5218-90−6ζ+6ζ2−3ζ4+3ζ53ζ−3ζ2+6ζ4+3ζ53ζ−3ζ2−3ζ4−6ζ50000000-6302ζ−2ζ2+ζ4−ζ5−ζ+ζ2−2ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000000000000000000000000

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