Finite Group Databasebeta

← Group #14518211

Character table — Group #14518211

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111333333333336669991818181818181818181818181818182727272727272727272727363636363636727272727272108108108108108108
order133266991818181818183992663666699181818181818181826618181818181818183399993399996618181818
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1+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
χ31111111111111111111111111111111111111111111111−1−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
χ411111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ511111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ611111111111111111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ7111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111111−1+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−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1−i32
χ8111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111111−1+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−i3211−1+i32−1−i32−1+i32−1+i321−1−i321−1+i32−1−i32−1−i3211−1+i32
χ9111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211111111−1+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+i321−1+i32−1−i32111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321−1+i32−1−i321
χ10111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-11−i321+i321−i321+i32
χ11111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1+i321−1−i3211−i321+i321+i32-1-11−i32
χ12111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1+i321−1+i32−1−i32111−1−i32−1+i32−1+i32−1−i321+i321−i32-11−i321+i32-1
χ13111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111111−1−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+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1+i32
χ14111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111111−1−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−i321−1−i32−1+i32111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321−1−i32−1+i321
χ15111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211111111−1−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+i3211−1−i32−1+i32−1−i32−1−i321−1+i321−1−i32−1+i32−1+i3211−1−i32
χ16111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-11+i321−i321+i321−i32
χ17111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1−i321−1−i32−1+i32111−1+i32−1−i32−1−i32−1+i321−i321+i32-11+i321−i32-1
χ18111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1−i321−1+i3211+i321−i321−i32-1-11+i32
χ1922222222222222222000-12-1-1-1-1-122-1-1-1-1-1-100000000000222222-1-1-1-1-1-1000000
χ2022222222222222222000-12-1-1-1-1-122-1-1-1-1-1-100000000000−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321+i321+i32000000
χ2122222222222222222000-12-1-1-1-1-122-1-1-1-1-1-100000000000−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321−i321−i32000000
χ22222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-12-1-1-11−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i320000000000022−1+i3−1−i3−1+i3−1−i31−i321+i32-11+i32-11−i32000000
χ23222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-12-1-1-11−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i3200000000000−1+i3−1−i3−1−i322−1+i31+i321−i321−i32-11+i32-1000000
χ24222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000-12-1-1-11−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i3200000000000−1−i3−1+i32−1+i3−1−i32-1-11+i321−i321−i321+i32000000
χ25222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-12-1-1-11+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i320000000000022−1−i3−1+i3−1−i3−1+i31+i321−i32-11−i32-11+i32000000
χ26222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-12-1-1-11+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i3200000000000−1+i3−1−i32−1−i3−1+i32-1-11−i321+i321+i321−i32000000
χ27222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000-12-1-1-11+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i3200000000000−1−i3−1+i3−1+i322−1−i31−i321+i321+i32-11−i32-1000000
χ28333-1-1-133-1-1-1-1-1-13333333-1-1-1-133-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-1000000000000000000
χ29333-1-1-133-1-1-1-1-1-1333-3-3-33-1-1-1-133-1-1-1-1-1-1-1-1111-3111-3111000000000000000000
χ30333-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i323−3+3i32−3−3i323333-1-1-1-1−3+3i32−3−3i321−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32000000000000000000
χ31333-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i323−3+3i32−3−3i32-3-3-33-1-1-1-1−3+3i32−3−3i321−i321+i321−i321−i321−i321+i321+i321+i321113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i32000000000000000000
χ32333-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i323−3−3i32−3+3i323333-1-1-1-1−3−3i32−3+3i321+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32000000000000000000
χ33333-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i323−3−3i32−3+3i32-3-3-33-1-1-1-1−3−3i32−3+3i321+i321−i321+i321+i321+i321−i321−i321−i321113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i32000000000000000000
χ3466666666666666-3-3-30000-300000-3-300000000000000000000000000000000000
χ35666666−3+3i3−3−3i3−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-33−3i323+3i320000-3000003−3i323+3i3200000000000000000000000000000000000
χ36666666−3−3i3−3+3i3−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-33+3i323−3i320000-3000003+3i323−3i3200000000000000000000000000000000000
χ37666-2-2-266-2-2-2-2-2-2666000-3-2111-3-3-2-211111100000000000000000000000000000
χ38666-2-2-266-2-2-2-2-2-2-3-3-3000014-2-200114-2-24-2-200000000000000000000000000000
χ39666-2-2-266-2-2-2-2-2-2-3-3-300001-24-20011-24-2-24-200000000000000000000000000000
χ40666-2-2-266-2-2-2-2-2-2-3-3-300001-2-240011-2-24-2-2400000000000000000000000000000
χ41666-2-2-2−3+3i3−3−3i31−i31−i31−i31+i31+i31+i36−3+3i3−3−3i3000-3-21113−3i323+3i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000000000000000000000
χ42666-2-2-2−3+3i3−3−3i31−i31−i31−i31+i31+i31+i3-33−3i323+3i32000014-2-200−1+i32−1−i32−2+2i31−i31−i3−2−2i31+i31+i300000000000000000000000000000
χ43666-2-2-2−3+3i3−3−3i31−i31−i31−i31+i31+i31+i3-33−3i323+3i3200001-24-200−1+i32−1−i321−i3−2+2i31−i31+i3−2−2i31+i300000000000000000000000000000
χ44666-2-2-2−3+3i3−3−3i31−i31−i31−i31+i31+i31+i3-33−3i323+3i3200001-2-2400−1+i32−1−i321−i31−i3−2+2i31+i31+i3−2−2i300000000000000000000000000000
χ45666-2-2-2−3−3i3−3+3i31+i31+i31+i31−i31−i31−i36−3−3i3−3+3i3000-3-21113+3i323−3i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000000000000000000000
χ46666-2-2-2−3−3i3−3+3i31+i31+i31+i31−i31−i31−i3-33+3i323−3i32000014-2-200−1−i32−1+i32−2−2i31+i31+i3−2+2i31−i31−i300000000000000000000000000000
χ47666-2-2-2−3−3i3−3+3i31+i31+i31+i31−i31−i31−i3-33+3i323−3i3200001-24-200−1−i32−1+i321+i3−2−2i31+i31−i3−2+2i31−i300000000000000000000000000000
χ48666-2-2-2−3−3i3−3+3i31+i31+i31+i31−i31−i31−i3-33+3i323−3i3200001-2-2400−1−i32−1+i321+i31+i3−2−2i31−i31−i3−2+2i300000000000000000000000000000
χ499−9+9i32−9−9i329−9+9i32−9−9i32000000000003−3+3i32−3−3i320000000000000003−3+3i32−3−3i3200000000000000000000000000
χ509−9+9i32−9−9i329−9+9i32−9−9i3200000000000-33−3i323+3i32000000000000000-33−3i323+3i3200000000000000000000000000
χ519−9+9i32−9−9i32-33−3i323+3i32006ζ6ζ46ζ76ζ26ζ56ζ80003−3+3i32−3−3i32000000000000000-11−i321+i3202ζ2ζ42ζ702ζ22ζ52ζ8000000000000000000
χ529−9+9i32−9−9i32-33−3i323+3i32006ζ6ζ46ζ76ζ26ζ56ζ8000-33−3i323+3i320000000000000001−1+i32−1−i320−2ζ−2ζ4−2ζ70−2ζ2−2ζ5−2ζ8000000000000000000
χ539−9+9i32−9−9i32-33−3i323+3i32006ζ46ζ76ζ6ζ86ζ26ζ50003−3+3i32−3−3i32000000000000000-11−i321+i3202ζ42ζ72ζ02ζ82ζ22ζ5000000000000000000
χ549−9+9i32−9−9i32-33−3i323+3i32006ζ46ζ76ζ6ζ86ζ26ζ5000-33−3i323+3i320000000000000001−1+i32−1−i320−2ζ4−2ζ7−2ζ0−2ζ8−2ζ2−2ζ5000000000000000000
χ559−9+9i32−9−9i32-33−3i323+3i32006ζ76ζ6ζ46ζ56ζ86ζ20003−3+3i32−3−3i32000000000000000-11−i321+i3202ζ72ζ2ζ402ζ52ζ82ζ2000000000000000000
χ569−9+9i32−9−9i32-33−3i323+3i32006ζ76ζ6ζ46ζ56ζ86ζ2000-33−3i323+3i320000000000000001−1+i32−1−i320−2ζ7−2ζ−2ζ40−2ζ5−2ζ8−2ζ2000000000000000000
χ579−9−9i32−9+9i329−9−9i32−9+9i32000000000003−3−3i32−3+3i320000000000000003−3−3i32−3+3i3200000000000000000000000000
χ589−9−9i32−9+9i329−9−9i32−9+9i3200000000000-33+3i323−3i32000000000000000-33+3i323−3i3200000000000000000000000000
χ599−9−9i32−9+9i32-33+3i323−3i32006ζ26ζ86ζ56ζ46ζ6ζ70003−3−3i32−3+3i32000000000000000-11+i321−i3202ζ22ζ82ζ502ζ42ζ2ζ7000000000000000000
χ609−9−9i32−9+9i32-33+3i323−3i32006ζ26ζ86ζ56ζ46ζ6ζ7000-33+3i323−3i320000000000000001−1−i32−1+i320−2ζ2−2ζ8−2ζ50−2ζ4−2ζ−2ζ7000000000000000000
χ619−9−9i32−9+9i32-33+3i323−3i32006ζ56ζ26ζ86ζ6ζ76ζ40003−3−3i32−3+3i32000000000000000-11+i321−i3202ζ52ζ22ζ802ζ2ζ72ζ4000000000000000000
χ629−9−9i32−9+9i32-33+3i323−3i32006ζ56ζ26ζ86ζ6ζ76ζ4000-33+3i323−3i320000000000000001−1−i32−1+i320−2ζ5−2ζ2−2ζ80−2ζ−2ζ7−2ζ4000000000000000000
χ639−9−9i32−9+9i32-33+3i323−3i32006ζ86ζ56ζ26ζ76ζ46ζ0003−3−3i32−3+3i32000000000000000-11+i321−i3202ζ82ζ52ζ202ζ72ζ42ζ000000000000000000
χ649−9−9i32−9+9i32-33+3i323−3i32006ζ86ζ56ζ26ζ76ζ46ζ000-33+3i323−3i320000000000000001−1−i32−1+i320−2ζ8−2ζ5−2ζ20−2ζ7−2ζ4−2ζ000000000000000000

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